Aristotle, Metaphysics book 13 (DIORISIS sentence 3727)

οὐ γὰρ τέμνεσθαι οὔτε μέγεθος πᾶν εἰς μεγέθη, οὔθʼ ὁποιασοῦν μονάδας δυάδα εἶναι.

ou gar temno oute megethos pas eis megethos oute opoios monas duas eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3728)

μοναδικοὺς δὲ τοὺς ἀριθμοὺς εἶναι πάντες τιθέασι, πλὴν τῶν Πυθαγορείων, ὅσοι τὸ ἓν στοιχεῖον καὶ ἀρχήν φασιν εἶναι τῶν ὄντων:

monadikos de o arithmos eimi pas tithemi plen o puthagoreios osos o eis-2 stoicheion kai arche phemi eimi o eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3729)

ἐκεῖνοι δʼ ἔχοντας μέγεθος, καθάπερ εἴηρται πρότερον.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3730)

ὁσαχῶς μὲν οὖν ἐνδέχεται λεχθῆναι περὶ αὐτῶν, καὶ ὅτι πάντες εἰσὶν εἰρημένοι οἱ τρόποι, φανερὸν ἐκ τούτων:

osachos men oun endechomai lego peri autos kai ostis pas eimi ero o tropos-2 phaneros ek outos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3731)

ἔστι δὲ πάντα μὲν ἀδύνατα, μᾶλλον δʼ ἴσως θάτερα τῶν ἑτέρων.

eimi de pas men adunatos-2 mallon de isos-3 eteros o eteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3732)

πρῶτον μὲν οὖν σκεπτέον εἰ συμβληταὶ αἱ μονάδες ἢ ἀσύμβλητοι, καὶ εἰ ἀσύμβλητοι, ποτέρως ὧνπερ διείλομεν.

proteros men oun skepteos ei sumbletos o monas ee asumbletos kai ei asumbletos poteros os diaireo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3733)

ἔστι μὲν γὰρ ὁποιανοῦν εἶναι ὁποιᾳοῦν μονάδι ἀσύμβλητον, ἔστι δὲ τὰς ἐν αὐτῇ τῇ δυάδι πρὸς τὰς ἐν αὐτῇ τῇ τριάδι, καὶ οὕτως δὴ ἀσυμβλήτους εἶναι τὰς ἐν ἑκάστῳ τῷ πρώτῳ ἀριθμῷ πρὸς ἀλλήλας.

eimi men gar opoios eimi monas asumbletos eimi de o en autos o duas pros o en autos o trias kai outos-2 de-2 asumbletos eimi o en ekastos o proteros arithmos pros allelon


Aristotle, Metaphysics book 13 (DIORISIS sentence 3734)

εἰ μὲν οὖν πᾶσαι συμβληταὶ καὶ ἀδιάφοροι αἱ μονάδες, ὁ μαθηματικὸς γίγνεται ἀριθμὸς καὶ εἷς μόνος, καὶ τὰς ἰδέας οὐκ ἐνδέχεται εἶναι τοὺς ἀριθμούς ʼποῖος γὰρ ἔσται ἀριθμὸς αὐτὸ ἄνθρωπος ἢ ζῷον ἢ ἄλλο ὁτιοῦν τῶν εἰδῶν;

ei men oun pas sumbletos kai adiaphoros o monas o mathematikos gignomai arithmos kai eis-2 monos kai o idea ou endechomai eimi o arithmos poios gar eimi arithmos autos anthropos ee zoion-2 ee allos otioun o eidos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3735)

ἰδέα μὲν γὰρ μία ἑκάστου, οἷον αὐτοῦ ἀνθρώπου μία καὶ αὐτοῦ ζῴου ἄλλη μία:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3736)

οἱ δʼ ὅμοιοι καὶ ἀδιάφοροι ἄπειροι, ὥστʼ οὐθὲν μᾶλλον ἥδε ἡ τριὰς αὐτοάνθρωπος ἢ ὁποιαοῦνʼ, εἰ δὲ μὴ εἰσὶν ἀριθμοὶ αἱ ἰδέαι, οὐδʼ ὅλως οἷόν τε αὐτὰς εἶναι ʼἐκ τίνων γὰρ ἔσονται ἀρχῶν αἱ ἰδέαι;

e de omoios kai adiaphoros apeiros oste-2 oudeis mallon ode o trias autoanthropos ee ei de me eimi arithmos o idea oude olos oios-2 te autos eimi ek tis-2 gar eimi arche o idea


Aristotle, Metaphysics book 13 (DIORISIS sentence 3737)

ὁ γὰρ ἀριθμός ἐστιν ἐκ τοῦ ἑνὸς καὶ τῆς δυάδος τῆς ἀορίστου, καὶ αἱ ἀρχαὶ καὶ τὰ στοιχεῖα λέγονται τοῦ ἀριθμοῦ εἶναι, τάξαι τε οὔτε προτέρας ἐνδέχεται τῶν ἀριθμῶν αὐτὰς οὔθʼ ὑστέραςʼ:

o gar arithmos eimi ek o eis-2 kai o duas o aoristos kai o arche kai o stoicheion lego o arithmos eimi tasso te oute proteros endechomai o arithmos autos oute usteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3738)

εἰ δʼ ἀσύμβλητοι αἱ μονάδες, καὶ οὕτως ἀσύμβλητοι ὥστε ἡτισοῦν ᾑτινιοῦν, οὔτε τὸν μαθηματικὸν ἐνδέχεται εἶναι τοῦτον τὸν ἀριθμόν ʼὁ μὲν γὰρ μαθηματικὸς ἐξ ἀδιαφόρων, καὶ τὰ δεικνύμενα κατʼ αὐτοῦ ὡς ἐπὶ τοιούτου ἁρμόττεἰ οὔτε τὸν τῶν εἰδῶν.

ei de asumbletos o monas kai outos-2 asumbletos oste-2 ostis ostis oute o mathematikos endechomai eimi outos o arithmos o men gar mathematikos ek adiaphoros kai o deiknumi kata autos os-2 epi toioutos armozo oute o o eidos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3739)

οὐ γὰρ ἔσται ἡ δυὰς πρώτη ἐκ τοῦ ἑνὸς καὶ τῆς ἀορίστου δυάδος, ἔπειτα οἱ ἑξῆς ἀριθμοί, ὡς λέγεται δυάς, τριάς, τετράς— ἅμα γὰρ αἱ ἐν τῇ δυάδι τῇ πρώτῃ μονάδες γεννῶνται, εἴτε ὥσπερ ὁ πρῶτος εἰπὼν ἐξ ἀνίσων ʼἰσασθέντων γὰρ ἐγένοντὀ εἴτε ἄλλως— ἐπεὶ εἰ ἔσται ἡ ἑτέρα μονὰς τῆς ἑτέρας προτέρα, καὶ τῆς δυάδος τῆς ἐκ τούτων ἔσται προτέρα:

ou gar eimi o duas proteros ek o eis-2 kai o aoristos duas epeita e exes arithmos os-2 lego duas trias tetras ama gar o en o duas o proteros monas gennao eite osper-2 o proteros eipon ek anisos isazo gar gignomai eite allos-2 epei ei eimi o eteros monas o eteros proteros kai o duas o ek outos eimi proteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3740)

ὅταν γὰρ ᾖ τι τὸ μὲν πρότερον τὸ δὲ ὕστερον, καὶ τὸ ἐκ τούτων τοῦ μὲν ἔσται πρότερον τοῦ δʼ ὕστερον.

otan gar eimi tis o men proteros o de usteros kai o ek outos o men eimi proteros o de usteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3741)

ἔτι ἐπειδὴ ἔστι πρῶτον μὲν αὐτὸ τὸ ἕν, ἔπειτα τῶν ἄλλων ἔστι τι πρῶτον ἓν δεύτερον δὲ μετʼ ἐκεῖνο, καὶ πάλιν τρίτον τὸ δεύτερον μὲν μετὰ τὸ δεύτερον τρίτον δὲ μετὰ τὸ πρῶτον ἕν, ὥστε πρότεραι ἂν εἶεν αἱ μονάδες ἢ οἱ ἀριθμοὶ ἐξ ὧν λέγονται, οἷον ἐν τῇ δυάδι τρίτη μονὰς ἔσται πρὶν τὰ τρία εἶναι, καὶ ἐν τῇ τριάδι τετάρτη καὶ πέμπτη πρὶν τοὺς ἀριθμοὺς τούτους.

eti epei eimi proteros men autos o eis-2 epeita o allos eimi tis proteros eis-2 deuteros de meta ekeinos kai palin tritos o deuteros men meta o deuteros tritos de meta o proteros eis-2 oste-2 proteros an eimi o monas ee e arithmos ek os lego oios-2 en o duas tritos monas eimi prin o treis eimi kai en o trias tetartos kai pemptos prin o arithmos outos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3742)

οὐδεὶς μὲν οὖν τὸν τρόπον τοῦτον εἴρηκεν αὐτῶν τὰς μονάδας ἀσυμβλήτους, ἔστι δὲ κατὰ μὲν τὰς ἐκείνων ἀρχὰς εὔλογον καὶ οὕτως, κατὰ μέντοι τὴν ἀλήθειαν ἀδύνατον.

oudeis men oun o tropos-2 outos ero autos o monas asumbletos eimi de kata men o ekeinos arche eulogos kai outos-2 kata mentoi o aletheia adunatos-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3743)

τάς τε γὰρ μονάδας προτέρας καὶ ὑστέρας εἶναι εὔλογον, εἴπερ καὶ πρώτη τις ἔστι μονὰς καὶ ἓν πρῶτον, ὁμοίως δὲ καὶ δυάδας, εἴπερ καὶ δυὰς πρώτη ἔστιν:

o te gar monas proteros kai usteros eimi eulogos eiper kai proteros tis eimi monas kai eis-2 proteros omoios de kai duas eiper kai duas proteros eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3744)

μετὰ γὰρ τὸ πρῶτον εὔλογον καὶ ἀναγκαῖον δεύτερόν τι εἶναι, καὶ εἰ δεύτερον, τρίτον, καὶ οὕτω δὴ τὰ ἄλλα ἐφεξῆς ʼἅμα δʼ ἀμφότερα λέγειν, μονάδα τε μετὰ τὸ ἓν πρώτην εἶναι καὶ δευτέραν, καὶ δυάδα πρώτην, ἀδύνατονʼ.

meta gar o proteros eulogos kai anagkaion deuteros tis eimi kai ei deuteros tritos kai outos-2 de-2 o allos ephexes ama de amphoteros lego monas te meta o eis-2 proteros eimi kai deuteros kai duas proteros adunatos-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3745)

οἱ δὲ ποιοῦσι μονάδα μὲν καὶ ἓν πρῶτον, δεύτερον δὲ καὶ τρίτον οὐκέτι, καὶ δυάδα πρώτην, δευτέραν δὲ καὶ τρίτην οὐκέτι.

o de poieo monas men kai eis-2 proteros deuteros de kai tritos ouketi kai duas proteros deuteros de kai tritos ouketi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3746)

φανερὸν δὲ καὶ ὅτι οὐκ ἐνδέχεται, εἰ ἀσύμβλητοι πᾶσαι αἱ μονάδες, δυάδα εἶναι αὐτὴν καὶ τριάδα καὶ οὕτω τοὺς ἄλλους ἀριθμούς.

phaneros de kai ostis ou endechomai ei asumbletos pas o monas duas eimi autos kai trias kai outos-2 o allos arithmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3747)

ἄν τε γὰρ ὦσιν ἀδιάφοροι αἱ μονάδες ἄν τε διαφέρουσαι ἑκάστη ἑκάστης, ἀνάγκη ἀριθμεῖσθαι τὸν ἀριθμὸν κατὰ πρόσθεσιν, οἷον τὴν δυάδα πρὸς τῷ ἑνὶ ἄλλου ἑνὸς προστεθέντος, καὶ τὴν τριάδα ἄλλου ἑνὸς πρὸς τοῖς δυσὶ προστεθέντος, καὶ τὴν τετράδα ὡσαύτως:

an te gar eimi adiaphoros o monas an te diaphero ekastos ekastos anagke arithmeo o arithmos kata prosthesis oios-2 o duas pros o eis-2 allos eis-2 prostithemi kai o trias allos eis-2 pros o duo prostithemi kai o tetras osautos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3748)

τούτων δὲ ὄντων ἀδύνατον τὴν γένεσιν εἶναι τῶν ἀριθμῶν ὡς γεννῶσιν ἐκ τῆς δυάδος καὶ τοῦ ἑνός.

outos de eimi adunatos-2 o genesis eimi o arithmos os-2 gennao ek o duas kai o eis-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3749)

μόριον γὰρ γίγνεται ἡ δυὰς τῆς τριάδος καὶ αὕτη τῆς τετράδος, τὸν αὐτὸν δὲ τρόπον συμβαίνει καὶ ἐπὶ τῶν ἐχομένων.

morion gar gignomai o duas o trias kai outos o tetras o autos de tropos-2 sumbaino kai epi o echo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3750)

ἀλλʼ ἐκ τῆς δυάδος τῆς πρώτης καὶ τῆς ἀορίστου δυάδος ἐγίγνετο ἡ τετράς, δύο δυάδες παρʼ αὐτὴν τὴν δυάδα:

alla ek o duas o proteros kai o aoristos duas gignomai o tetras duo duas para autos o duas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3751)

εἰ δὲ μή, μόριον ἔσται αὐτὴ ἡ δυάς, ἑτέρα δὲ προσέσται μία δυάς.

ei de me morion eimi autos o duas eteros de proseimi eis-2 duas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3752)

καὶ ἡ δυὰς ἔσται ἐκ τοῦ ἑνὸς αὐτοῦ καὶ ἄλλου ἑνός:

kai o duas eimi ek o eis-2 autos kai allos eis-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3753)

εἰ δὲ τοῦτο, οὐχ οἷόν τʼ εἶναι τὸ ἕτερον στοιχεῖον δυάδα ἀόριστον:

ei de outos ou oios-2 te eimi o eteros stoicheion duas aoristos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3754)

μονάδα γὰρ μίαν γεννᾷ ἀλλʼ οὐ δυάδα ὡρισμένην.

monas gar eis-2 gennao alla ou duas orizo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3755)

ἔτι παρʼ αὐτὴν τὴν τριάδα καὶ αὐτὴν τὴν δυάδα πῶς ἔσονται ἄλλαι τριάδες καὶ δυάδες;

eti para autos o trias kai autos o duas pos-2 eimi allos trias kai duas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3756)

καὶ τίνα τρόπον ἐκ προτέρων μονάδων καὶ ὑστέρων σύγκεινται;

kai tis-2 tropos-2 ek proteros monas kai usteron sugkeimai


Aristotle, Metaphysics book 13 (DIORISIS sentence 3757)

πάντα γὰρ ταῦτʼ ἄτοπά ἐστι καὶ πλασματώδη, καὶ ἀδύνατον εἶναι πρώτην δυάδα, εἶτʼ αὐτὴν τριάδα.

pas gar outos atopos eimi kai plasmatodes kai adunatos-2 eimi proteros duas eita autos trias


Aristotle, Metaphysics book 13 (DIORISIS sentence 3758)

ἀνάγκη δʼ, ἐπείπερ ἔσται τὸ ἓν καὶ ἡ ἀόριστος δυὰς στοιχεῖα.

anagke de epei eimi o eis-2 kai o aoristos duas stoicheion


Aristotle, Metaphysics book 13 (DIORISIS sentence 3759)

εἰ δʼ ἀδύνατα τὰ συμβαίνοντα, καὶ τὰς ἀρχὰς εἶναι ταύτας ἀδύνατον.

ei de adunatos-2 o sumbaino kai o arche eimi outos adunatos-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3760)

εἰ μὲν οὖν διάφοροι αἱ μονάδες ὁποιαιοῦν ὁποιαισοῦν, ταῦτα καὶ τοιαῦθʼ ἕτερα συμβαίνει ἐξ ἀνάγκης:

ei men oun diaphoros o monas opoios outos kai toioutos eteros sumbaino ek anagke


Aristotle, Metaphysics book 13 (DIORISIS sentence 3761)

εἰ δʼ αἱ μὲν ἐν ἄλλῳ διάφοροι αἱ δʼ ἐν τῷ αὐτῷ ἀριθμῷ ἀδιάφοροι ἀλλήλαις μόναι, καὶ οὕτως οὐθὲν ἐλάττω συμβαίνει τὰ δυσχερῆ.

ei de o men en allos diaphoros o de en o autos arithmos adiaphoros allelon monos kai outos-2 oudeis elasson sumbaino o duscheres


Aristotle, Metaphysics book 13 (DIORISIS sentence 3762)

οἷον γὰρ ἐν τῇ δεκάδι αὐτῇ ἔνεισι δέκα μονάδες, σύγκειται δὲ καὶ ἐκ τούτων καὶ ἐκ δύο πεντάδων ἡ δεκάς.

oios-2 gar en o dekas autos eneimi deka monas sugkeimai de kai ek outos kai ek duo pentas o dekas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3763)

ἐπεὶ δʼ οὐχ ὁ τυχὼν ἀριθμὸς αὐτὴ ἡ δεκὰς οὐδὲ σύγκειται ἐκ τῶν τυχουσῶν πεντάδων, ὥσπερ οὐδὲ μονάδων, ἀνάγκη διαφέρειν τὰς μονάδας τὰς ἐν τῇ δεκάδι ταύτῃ.

epei de ou o tugchano arithmos autos o dekas oude sugkeimai ek o tugchano pentas osper-2 oude monas anagke diaphero o monas o en o dekas outos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3764)

ἂν γὰρ μὴ διαφέρωσιν, οὐδʼ αἱ πεντάδες διοίσουσιν ἐξ ὧν ἐστὶν ἡ δεκάς:

an gar me diaphero oude o pentas diaphero ek os eimi o dekas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3765)

ἐπεὶ δὲ διαφέρουσι, καὶ αἱ μονάδες διοίσουσιν.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3766)

εἰ δὲ διαφέρουσι, πότερον οὐκ ἐνέσονται πεντάδες ἄλλαι ἀλλὰ μόνον αὗται αἱ δύο, ἢ ἔσονται;

ei de diaphero poteros ou enennumi pentas allos alla monos outos o duo ee eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3767)

εἴτε δὲ μὴ ἐνέσονται, ἄτοπον:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3768)

εἴτʼ ἐνέσονται, ποία ἔσται δεκὰς ἐξ ἐκείνων;

eite enennumi poios eimi dekas ek ekeinos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3769)

οὐ γὰρ ἔστιν ἑτέρα δεκὰς ἐν τῇ δεκάδι παρʼ αὐτήν.

ou gar eimi eteros dekas en o dekas para autos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3770)

ἀλλὰ μὴν καὶ ἀνάγκη γε μὴ ἐκ τῶν τυχουσῶν δυάδων τὴν τετράδα συγκεῖσθαι:

alla men-2 kai anagke ge me ek o tugchano duas o tetras sugkeimai


Aristotle, Metaphysics book 13 (DIORISIS sentence 3771)

ἡ γὰρ ἀόριστος δυάς, ὥς φασι, λαβοῦσα τὴν ὡρισμένην δυάδα δύο δυάδας ἐποίησεν:

o gar aoristos duas os-2 phemi lambano o orizo duas duo duas poieo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3772)

τοῦ γὰρ ληφθέντος ἦν δυοποιός.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3773)

ἔτι τὸ εἶναι παρὰ τὰς δύο μονάδας τὴν δυάδα φύσιν τινά, καὶ τὴν τριάδα παρὰ τὰς τρεῖς μονάδας, πῶς ἐνδέχεται;

eti o eimi para o duo monas o duas phusis tis kai o trias para o treo monas pos-2 endechomai


Aristotle, Metaphysics book 13 (DIORISIS sentence 3774)

ἢ γὰρ μεθέξει θατέρου θατέρου, ὥσπερ λευκὸς ἄνθρωπος παρὰ λευκὸν καὶ ἄνθρωπον ʼμετέχει γὰρ τούτωνʼ, ἢ ὅταν ᾖ θατέρου θάτερον διαφορά τις, ὥσπερ ὁ ἄνθρωπος παρὰ ζῷον καὶ δίπουν.

ee gar methexis eteros eteros osper-2 leukos anthropos para leukos kai anthropos metecho gar outos ee otan eimi eteros eteros diaphora tis osper-2 o anthropos para zoion-2 kai dipous


Aristotle, Metaphysics book 13 (DIORISIS sentence 3775)

ἔτι τὰ μὲν ἁφῇ ἐστὶν ἓν τὰ δὲ μίξει τὰ δὲ θέσει:

eti o men aphe eimi eis-2 o de mignumi o de thesis


Aristotle, Metaphysics book 13 (DIORISIS sentence 3776)

ὧν οὐδὲν ἐνδέχεται ὑπάρχειν ταῖς μονάσιν ἐξ ὧν ἡ δυὰς καὶ ἡ τριάς:

os oudeis endechomai uparcho o monas ek os o duas kai o trias


Aristotle, Metaphysics book 13 (DIORISIS sentence 3777)

ἀλλʼ ὥσπερ οἱ δύο ἄνθρωποι οὐχ ἕν τι παρʼ ἀμφοτέρους, οὕτως ἀνάγκη καὶ τὰς μονάδας.

alla osper-2 o duo anthropos ou eis-2 tis para amphoteros outos-2 anagke kai o monas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3778)

καὶ οὐχ ὅτι ἀδιαίρετοι, διοίσουσι διὰ τοῦτο:

kai ou ostis adiairetos diaphero dia outos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3779)

καὶ γὰρ αἱ στιγμαὶ ἀδιαίρετοι, ἀλλʼ ὅμως παρὰ τὰς δύο οὐθὲν ἕτερον ἡ δυὰς αὐτῶν.

kai gar o stigme adiairetos alla omos-5 para o duo oudeis eteros o duas autos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3780)

ἀλλὰ μὴν οὐδὲ τοῦτο δεῖ λανθάνειν, ὅτι συμβαίνει προτέρας καὶ ὑστέρας εἶναι δυάδας, ὁμοίως δὲ καὶ τοὺς ἄλλους ἀριθμούς.

alla men-2 oude outos deomai lanthano ostis sumbaino proteros kai usteros eimi duas omoios de kai o allos arithmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3781)

αἱ μὲν γὰρ ἐν τῇ τετράδι δυάδες ἔστωσαν ἀλλήλαις ἅμα:

o men gar en o tetras duas eimi allelon ama


Aristotle, Metaphysics book 13 (DIORISIS sentence 3782)

ἀλλʼ αὗται τῶν ἐν τῇ ὀκτάδι πρότεραί εἰσι, καὶ ἐγέννησαν, ὥσπερ ἡ δυὰς ταύτας, αὗται τὰς τετράδας τὰς ἐν τῇ ὀκτάδι αὐτῇ, ὥστε εἰ καὶ ἡ πρώτη δυὰς ἰδέα, καὶ αὗται ἰδέαι τινὲς ἔσονται.

alla outos o en o oktas proteros eimi kai gennao osper-2 o duas outos outos o tetras o en o oktas autos oste-2 ei kai o proteros duas idea kai outos idea tis eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3783)

ὁ δʼ αὐτὸς λόγος καὶ ἐπὶ τῶν μονάδων:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3784)

αἱ γὰρ ἐν τῇ δυάδι τῇ πρώτῃ μονάδες γεννῶσι τὰς τέτταρας τὰς ἐν τῇ τετράδι, ὥστε πᾶσαι αἱ μονάδες ἰδέαι γίγνονται καὶ συγκείσεται ἰδέα ἐξ ἰδεῶν:

o gar en o duas o proteros monas gennao o tessares o en o tetras oste-2 pas o monas idea gignomai kai sugkeimai idea ek idea


Aristotle, Metaphysics book 13 (DIORISIS sentence 3785)

ὥστε δῆλον ὅτι κἀκεῖνα ὧν ἰδέαι αὗται τυγχάνουσιν οὖσαι συγκείμενα ἔσται, οἷον εἰ τὰ ζῷα φαίη τις συγκεῖσθαι ἐκ ζῴων, εἰ τούτων ἰδέαι εἰσίν.

oste-2 delos-3 ostis ekeinos os idea outos tugchano eimi sugkeimai eimi oios-2 ei o zoion-2 phemi tis sugkeimai ek zoion-2 ei outos idea eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3786)

— ὅλως δὲ τὸ ποιεῖν τὰς μονάδας διαφόρους ὁπωσοῦν ἄτοπον καὶ πλασματῶδες ʼλέγω δὲ πλασματῶδες τὸ πρὸς ὑπόθεσιν βεβιασμένονʼ:

olos de o poieo o monas diaphoros oposoun atopos kai plasmatodes lego de plasmatodes o pros upothesis biazo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3787)

οὔτε γὰρ κατὰ τὸ ποσὸν οὔτε κατὰ τὸ ποιὸν ὁρῶμεν διαφέρουσαν μονάδα μονάδος, ἀνάγκη τε ἢ ἴσον ἢ ἄνισον εἶναι ἀριθμόν, πάντα μὲν ἀλλὰ μάλιστα τὸν μοναδικόν, ὥστʼ εἰ μήτε πλείων μήτʼ ἐλάττων, ἴσος:

oute gar kata o posos-2 oute kata o poios-2 orao diaphero monas monas anagke te ee isos ee anisos eimi arithmos pas men alla malista o monadikos oste-2 ei mete pleos mete elasson isos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3788)

τὰ δὲ ἴσα καὶ ὅλως ἀδιάφορα ταὐτὰ ὑπολαμβάνομεν ἐν τοῖς ἀριθμοῖς.

o de isos kai olos adiaphoros tautos-2 upolambano en o arithmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3789)

εἰ δὲ μή, οὐδʼ αἱ ἐν αὐτῇ τῇ δεκάδι δυάδες ἀδιάφοροι ἔσονται ἴσαι οὖσαι:

ei de me oude o en autos o dekas duas adiaphoros eimi isos eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3790)

τίνα γὰρ αἰτίαν ἕξει λέγειν ὁ φάσκων ἀδιαφόρους εἶναι;

tis-2 gar aitia echo lego o phasko adiaphoros eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3791)

ἔτι εἰ ἅπασα μονὰς καὶ μονὰς ἄλλη δύο, ἡ ἐκ τῆς δυάδος αὐτῆς μονὰς καὶ ἡ ἐκ τῆς τριάδος αὐτῆς δυὰς ἔσται ἐκ διαφερουσῶν τε, καὶ πότερον προτέρα τῆς τριάδος ἢ ὑστέρα;

eti ei apas monas kai monas allos duo o ek o duas autos monas kai o ek o trias autos duas eimi ek diaphero te kai poteros proteros o trias ee usteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3792)

μᾶλλον γὰρ ἔοικε προτέραν ἀναγκαῖον εἶναι:

mallon gar eoika proteros anagkaion eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3793)

ἡ μὲν γὰρ ἅμα τῇ τριάδι ἡ δʼ ἅμα τῇ δυάδι τῶν μονάδων.

o men gar ama o trias o de ama o duas o monas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3794)

καὶ ἡμεῖς μὲν ὑπολαμβάνομεν ὅλως ἓν καὶ ἕν, καὶ ἐὰν ᾖ ἴσα ἢ ἄνισα, δύο εἶναι, οἷον τὸ ἀγαθὸν καὶ τὸ κακόν, καὶ ἄνθρωπον καὶ ἵππον:

kai ego men upolambano olos eis-2 kai eis-2 kai ean eimi isos ee anisos duo eimi oios-2 o agathos kai o kakos kai anthropos kai ippos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3795)

οἱ δʼ οὕτως λέγοντες οὐδὲ τὰς μονάδας.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3796)

εἴτε δὲ μὴ ἔστι πλείων ἀριθμὸς ὁ τῆς τριάδος αὐτῆς ἢ ὁ τῆς δυάδος, θαυμαστόν:

eite de me eimi pleos arithmos o o trias autos ee o o duas thaumastos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3797)

εἴτε ἐστὶ πλείων, δῆλον ὅτι καὶ ἴσος ἔνεστι τῇ δυάδι, ὥστε οὗτος ἀδιάφορος αὐτῇ τῇ δυάδι.

eite eimi pleos delos-3 ostis kai isos eneimi o duas oste-2 outos adiaphoros autos o duas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3798)

ἀλλʼ οὐκ ἐνδέχεται, εἰ πρῶτός τις ἔστιν ἀριθμὸς καὶ δεύτερος.

alla ou endechomai ei proteros tis eimi arithmos kai deuteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3799)

οὐδὲ ἔσονται αἱ ἰδέαι ἀριθμοί.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3800)

τοῦτο μὲν γὰρ αὐτὸ ὀρθῶς λέγουσιν οἱ διαφόρους τὰς μονάδας ἀξιοῦντες εἶναι, εἴπερ ἰδέαι ἔσονται, ὥσπερ εἴρηται πρότερον:

outos men gar autos orthos lego o diaphoros o monas axioo eimi eiper idea eimi osper-2 eromai proteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3801)

ἓν γὰρ τὸ εἶδος, αἱ δὲ μονάδες εἰ ἀδιάφοροι, καὶ αἱ δυάδες καὶ αἱ τριάδες ἔσονται ἀδιάφοροι.

eis-2 gar o eidos o de monas ei adiaphoros kai o duas kai o trias eimi adiaphoros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3802)

διὸ καὶ τὸ ἀριθμεῖσθαι οὕτως, ἓν δύο, μὴ προσλαμβανομένου πρὸς τῷ ὑπάρχοντι ἀναγκαῖον αὐτοῖς λέγειν ʼοὔτε γὰρ ἡ γένεσις ἔσται ἐκ τῆς ἀορίστου δυάδος, οὔτʼ ἰδέαν ἐνδέχεται εἶναι:

dio-2 kai o arithmeo outos-2 eis-2 duo me proslambano pros o uparcho anagkaios autos lego oute gar o genesis eimi ek o aoristos duas oute idea endechomai eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3803)

ἐνυπάρξει γὰρ ἑτέρα ἰδέα ἐν ἑτέρᾳ, καὶ πάντα τὰ εἴδη ἑνὸς μέρἠ:

enuparcho gar eteros idea en eteros kai pas o eidos eis-2 mera-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3804)

διὸ πρὸς μὲν τὴν ὑπόθεσιν ὀρθῶς λέγουσιν, ὅλως δʼ οὐκ ὀρθῶς:

dio-2 pros men o upothesis orthos lego olos de ou orthos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3805)

πολλὰ γὰρ ἀναιροῦσιν, ἐπεὶ τοῦτό γʼ αὐτὸ ἔχειν τινὰ φήσουσιν ἀπορίαν, πότερον, ὅταν ἀριθμῶμεν καὶ εἴπωμεν ἓν δύο τρία, προσλαμβάνοντες ἀριθμοῦμεν ἢ κατὰ μερίδας.

polus gar anaireo epei outos ge autos echo tis phemi aporia poteros otan arithmeo kai eipon eis-2 duo treis proslambano arithmeo ee kata meris


Aristotle, Metaphysics book 13 (DIORISIS sentence 3806)

ποιοῦμεν δὲ ἀμφοτέρως:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3807)

διὸ γελοῖον ταύτην εἰς τηλικαύτην τῆς οὐσίας ἀνάγειν διαφοράν.

dio-2 geloios outos eis telikoutos o ousia anago diaphora


Aristotle, Metaphysics book 13 (DIORISIS sentence 3808)

πάντων δὲ πρῶτον καλῶς ἔχει διορίσασθαι τίς ἀριθμοῦ διαφορά, καὶ μονάδος, εἰ ἔστιν.

pas de proteros kalos echo diorizo tis-2 arithmos diaphora kai monas ei eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3809)

ἀνάγκη δʼ ἢ κατὰ τὸ ποσὸν ἢ κατὰ τὸ ποιὸν διαφέρειν:

anagke de ee kata o posos-2 ee kata o poios-2 diaphero


Aristotle, Metaphysics book 13 (DIORISIS sentence 3810)

τούτων δʼ οὐδέτερον φαίνεται ἐνδέχεσθαι ὑπάρχειν.

outos de oudeteros phaino endechomai uparcho


Aristotle, Metaphysics book 13 (DIORISIS sentence 3811)

ἀλλʼ ᾗ ἀριθμός, κατὰ τὸ ποσόν.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3812)

εἰ δὲ δὴ καὶ αἱ μονάδες τῷ ποσῷ διέφερον, κἂν ἀριθμὸς ἀριθμοῦ διέφερεν ὁ ἴσος τῷ πλήθει τῶν μονάδων.

ei de de-2 kai o monas o posos-2 diaphero kan-2 arithmos arithmos diaphero o isos o plethos o monas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3813)

ἔτι πότερον αἱ πρῶται μείζους ἢ ἐλάττους, καὶ αἱ ὕστερον ἐπιδιδόασιν ἢ τοὐναντίον;

eti poteros o proteros megas ee elasson kai o usteros epididomi ee enantios


Aristotle, Metaphysics book 13 (DIORISIS sentence 3814)

πάντα γὰρ ταῦτα ἄλογα.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3815)

ἀλλὰ μὴν οὐδὲ κατὰ τὸ ποιὸν διαφέρειν ἐνδέχεται.

alla men-2 oude kata o poios-2 diaphero endechomai


Aristotle, Metaphysics book 13 (DIORISIS sentence 3816)

οὐθὲν γὰρ αὐταῖς οἷόν τε ὑπάρχειν πάθος:

oudeis gar autos oios-2 te uparcho pathos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3817)

ὕστερον γὰρ καὶ τοῖς ἀριθμοῖς φασὶν ὑπάρχειν τὸ ποιὸν τοῦ ποσοῦ.

usteros gar kai o arithmos phemi uparcho o poios-2 o posos-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3818)

ἔτι οὔτʼ ἂν ἀπὸ τοῦ ἑνὸς τοῦτʼ αὐταῖς γένοιτο οὔτʼ ἂν ἀπὸ τῆς δυάδος:

eti oute an apo o eis-2 outos autos gignomai oute an apo o duas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3819)

τὸ μὲν γὰρ οὐ ποιὸν ἡ δὲ ποσοποιόν:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3820)

τοῦ γὰρ πολλὰ τὰ ὄντα εἶναι αἰτία αὕτη ἡ φύσις.

o gar polus o eimi eimi aitia outos o phusis


Aristotle, Metaphysics book 13 (DIORISIS sentence 3821)

εἰ δʼ ἄρα ἔχει πως ἄλλως, λεκτέον ἐν ἀρχῇ μάλιστα τοῦτο καὶ διοριστέον περὶ μονάδος διαφορᾶς, μάλιστα μὲν καὶ διότι ἀνάγκη ὑπάρχειν:

ei de ara echo pos allos-2 lekteos en arche malista outos kai dioristeon peri monas diaphora malista men kai dioti anagke uparcho


Aristotle, Metaphysics book 13 (DIORISIS sentence 3822)

εἰ δὲ μή, τίνα λέγουσιν;


Aristotle, Metaphysics book 13 (DIORISIS sentence 3823)

ὅτι μὲν οὖν, εἴπερ εἰσὶν ἀριθμοὶ αἱ ἰδέαι, οὔτε συμβλητὰς τὰς μονάδας ἁπάσας ἐνδέχεται εἶναι, φανερόν, οὔτε ἀσυμβλήτους ἀλλήλαις οὐδέτερον τῶν τρόπων:

ostis men oun eiper eimi arithmos o idea oute sumbletos o monas apas endechomai eimi phaneros oute asumbletos allelon oudeteros o tropos-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3824)

ἀλλὰ μὴν οὐδʼ ὡς ἕτεροί τινες λέγουσι περὶ τῶν ἀριθμῶν λέγεται καλῶς.

alla men-2 oude os-2 eteros tis lego peri o arithmos lego kalos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3825)

εἰσὶ δʼ οὗτοι ὅσοι ἰδέας μὲν οὐκ οἴονται εἶναι οὔτε ἁπλῶς οὔτε ὡς ἀριθμούς τινας οὔσας, τὰ δὲ μαθηματικὰ εἶναι καὶ τοὺς ἀριθμοὺς πρώτους τῶν ὄντων, καὶ ἀρχὴν αὐτῶν εἶναι αὐτὸ τὸ ἕν.

eimi de outos osos idea men ou oiomai eimi oute aplos-2 oute os-2 arithmos tis eimi o de mathematikos eimi kai o arithmos proteros o eimi kai arche autos eimi autos o eis-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3826)

ἄτοπον γὰρ τὸ ἓν μὲν εἶναί τι πρῶτον τῶν ἑνῶν, ὥσπερ ἐκεῖνοί φασι, δυάδα δὲ τῶν δυάδων μή, μηδὲ τριάδα τῶν τριάδων:

atopos gar o eis-2 men eimi tis proteros o enoo osper-2 ekeinos phemi duas de o duas me mede trias o trias


Aristotle, Metaphysics book 13 (DIORISIS sentence 3827)

τοῦ γὰρ αὐτοῦ λόγου πάντα ἐστίν.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3828)

εἰ μὲν οὖν οὕτως ἔχει τὰ περὶ τὸν ἀριθμὸν καὶ θήσει τις εἶναι τὸν μαθηματικὸν μόνον, οὐκ ἔστι τὸ ἓν ἀρχή ʼἀνάγκη γὰρ διαφέρειν τὸ ἓν τὸ τοιοῦτο τῶν ἄλλων μονάδων:

ei men oun outos-2 echo o peri o arithmos kai tithemi tis eimi o mathematikos monos ou eimi o eis-2 arche anagke gar diaphero o eis-2 o toioutos o allos monas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3829)

εἰ δὲ τοῦτο, καὶ δυάδα τινὰ πρώτην τῶν δυάδων, ὁμοίως δὲ καὶ τοὺς ἄλλους ἀριθμοὺς τοὺς ἐφεξῆςʼ:

ei de outos kai duas tis proteros o duas omoios de kai o allos arithmos o epecho


Aristotle, Metaphysics book 13 (DIORISIS sentence 3830)

εἰ δέ ἐστι τὸ ἓν ἀρχή, ἀνάγκη μᾶλλον ὥσπερ Πλάτων ἔλεγεν ἔχειν τὰ περὶ τοὺς ἀριθμούς, καὶ εἶναι δυάδα πρώτην καὶ τριάδα, καὶ οὐ συμβλητοὺς εἶναι τοὺς ἀριθμοὺς πρὸς ἀλλήλους.

ei de eimi o eis-2 arche anagke mallon osper-2 platon lego echo o peri o arithmos kai eimi duas proteros kai trias kai ou sumbletos eimi o arithmos pros allelon


Aristotle, Metaphysics book 13 (DIORISIS sentence 3831)

ἂν δʼ αὖ πάλιν τις τιθῇ ταῦτα, εἴρηται ὅτι ἀδύνατα πολλὰ συμβαίνει.

an de au palin tis tithe outos eromai ostis adunatos-2 polus sumbaino


Aristotle, Metaphysics book 13 (DIORISIS sentence 3832)

ἀλλὰ μὴν ἀνάγκη γε ἢ οὕτως ἢ ἐκείνως ἔχειν, ὥστʼ εἰ μηδετέρως, οὐκ ἂν ἐνδέχοιτο εἶναι τὸν ἀριθμὸν χωριστόν.

alla men-2 anagke ge ee outos-2 ee ekeinos echo oste-2 ei medeteros ou an endechomai eimi o arithmos choristos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3833)

— φανερὸν δʼ ἐκ τούτων καὶ ὅτι χείριστα λέγεται ὁ τρίτος τρόπος, τὸ εἶναι τὸν αὐτὸν ἀριθμὸν τὸν τῶν εἰδῶν καὶ τὸν μαθηματικόν.

phaneros de ek outos kai ostis cheiristos lego o tritos tropos-2 o eimi o autos arithmos o o eidos kai o mathematikos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3834)

ἀνάγκη γὰρ εἰς μίαν δόξαν συμβαίνειν δύο ἁμαρτίας:

anagke gar eis eis-2 doxa sumbaino duo amartia


Aristotle, Metaphysics book 13 (DIORISIS sentence 3835)

οὔτε γὰρ μαθηματικὸν ἀριθμὸν ἐνδέχεται τοῦτον εἶναι τὸν τρόπον, ἀλλʼ ἰδίας ὑποθέσεις ὑποθέμενον ἀνάγκη μηκύνειν, ὅσα τε τοῖς ὡς εἴδη τὸν ἀριθμὸν λέγουσι συμβαίνει, καὶ ταῦτα ἀναγκαῖον λέγειν.

oute gar mathematikos arithmos endechomai outos eimi o tropos-2 alla idios upothesis upotithemi anagke mekuno osos te o os-2 eidos o arithmos lego sumbaino kai outos anagkaios lego


Aristotle, Metaphysics book 13 (DIORISIS sentence 3836)

ὁ δὲ τῶν Πυθαγορείων τρόπος τῇ μὲν ἐλάττους ἔχει δυσχερείας τῶν πρότερον εἰρημένων, τῇ δὲ ἰδίας ἑτέρας.

o de o puthagoreios tropos-2 o men elasson echo duschereia o proteros ero o de idios eteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3837)

τὸ μὲν γὰρ μὴ χωριστὸν ποιεῖν τὸν ἀριθμὸν ἀφαιρεῖται πολλὰ τῶν ἀδυνάτων:

o men gar me choristos poieo o arithmos aphaireo polus o adunatos-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3838)

τὸ δὲ τὰ σώματα ἐξ ἀριθμῶν εἶναι συγκείμενα, καὶ τὸν ἀριθμὸν τοῦτον εἶναι μαθηματικόν, ἀδύνατόν ἐστιν.

o de o soma ek arithmos eimi sugkeimai kai o arithmos outos eimi mathematikos adunatos-2 eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3839)

οὔτε γὰρ ἄτομα μεγέθη λέγειν ἀληθές, εἴ θʼ ὅτι μάλιστα τοῦτον ἔχει τὸν τρόπον, οὐχ αἵ γε μονάδες μέγεθος ἔχουσιν:

oute gar atomos megethos lego alethes ei te ostis malista outos echo o tropos-2 ou os ge monas megethos echo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3840)

μέγεθος δὲ ἐξ ἀδιαιρέτων συγκεῖσθαι πῶς δυνατόν;

megethos de ek adiairetos sugkeimai pos-2 dunatos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3841)

ἀλλὰ μὴν ὅ γʼ ἀριθμητικὸς ἀριθμὸς μοναδικός ἐστιν.

alla men-2 os ge arithmetikos arithmos monadikos eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3842)

ἐκεῖνοι δὲ τὸν ἀριθμὸν τὰ ὄντα λέγουσιν:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3843)

τὰ γοῦν θεωρήματα προσάπτουσι τοῖς σώμασιν ὡς ἐξ ἐκείνων ὄντων τῶν ἀριθμῶν.

o goun theorema prosapto o soma os-2 ek ekeinos eimi o arithmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3844)

εἰ τοίνυν ἀνάγκη μέν, εἴπερ ἐστὶν ἀριθμὸς τῶν ὄντων τι καθʼ αὑτό, τούτων εἶναί τινα τῶν εἰρημένων τρόπων, οὐθένα δὲ τούτων ἐνδέχεται, φανερὸν ὡς οὐκ ἔστιν ἀριθμοῦ τις τοιαύτη φύσις οἵαν κατασκευάζουσιν οἱ χωριστὸν ποιοῦντες αὐτόν.

ei toinun anagke men eiper eimi arithmos o eimi tis kata eautou outos eimi tis o ero tropos-2 oudeis de outos endechomai phaneros os-2 ou eimi arithmos tis toioutos phusis oios-2 kataskeuazo o choristos poieo autos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3845)

ἔτι πότερον ἑκάστη μονὰς ἐκ τοῦ μεγάλου καὶ μικροῦ ἰσασθέντων ἐστίν, ἢ ἡ μὲν ἐκ τοῦ μικροῦ ἡ δʼ ἐκ τοῦ μεγάλου;

eti poteros ekastos monas ek o megas kai mikros isazo eimi ee o men ek o mikros o de ek o megas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3846)

εἰ μὲν δὴ οὕτως, οὔτε ἐκ πάντων τῶν στοιχείων ἕκαστον οὔτε ἀδιάφοροι αἱ μονάδες ʼἐν τῇ μὲν γὰρ τὸ μέγα ἐν τῇ δὲ τὸ μικρὸν ὑπάρχει, ἐναντίον τῇ φύσει ὄνʼ:

ei men de-2 outos-2 oute ek pas o stoicheion ekastos oute adiaphoros o monas en o men gar o megas en o de o mikros uparcho enantion o phusis eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3847)

ἔτι αἱ ἐν τῇ τριάδι αὐτῇ πῶς;


Aristotle, Metaphysics book 13 (DIORISIS sentence 3848)

μία γὰρ περιττή:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3849)

ἀλλὰ διὰ τοῦτο ἴσως αὐτὸ τὸ ἓν ποιοῦσιν ἐν τῷ περιττῷ μέσον.

alla dia outos isos-3 autos o eis-2 poieo en o perissos mesos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3850)

εἰ δʼ ἑκατέρα τῶν μονάδων ἐξ ἀμφοτέρων ἐστὶν ἰσασθέντων, ἡ δυὰς πῶς ἔσται μία τις οὖσα φύσις ἐκ τοῦ μεγάλου καὶ μικροῦ;

ei de ekateros-2 o monas ek amphoteros eimi isazo o duas pos-2 eimi eis-2 tis eimi phusis ek o megas kai mikros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3851)

ἢ τί διοίσει τῆς μονάδος;


Aristotle, Metaphysics book 13 (DIORISIS sentence 3852)

ἔτι προτέρα ἡ μονὰς τῆς δυάδος ʼἀναιρουμένης γὰρ ἀναιρεῖται ἡ δυάςʼ:

eti proteros o monas o duas anaireo gar anaireo o duas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3853)

ἰδέαν οὖν ἰδέας ἀναγκαῖον αὐτὴν εἶναι, προτέραν γʼ οὖσαν ἰδέας, καὶ γεγονέναι προτέραν.

idea oun idea anagkaios autos eimi proteros ge eimi idea kai gignomai proteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3854)

ἐκ τίνος οὖν;


Aristotle, Metaphysics book 13 (DIORISIS sentence 3855)

ἡ γὰρ ἀόριστος δυὰς δυοποιὸς ἦν.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3856)

ἔτι ἀνάγκη ἤτοι ἄπειρον τὸν ἀριθμὸν εἶναι ἢ πεπερασμένον:

eti anagke etoi apeiros o arithmos eimi ee peraino


Aristotle, Metaphysics book 13 (DIORISIS sentence 3857)

χωριστὸν γὰρ ποιοῦσι τὸν ἀριθμόν, ὥστε οὐχ οἷόν τε μὴ οὐχὶ τούτων θάτερον ὑπάρχειν.

choristos gar poieo o arithmos oste-2 ou oios-2 te me ou outos eteros uparcho


Aristotle, Metaphysics book 13 (DIORISIS sentence 3858)

ὅτι μὲν τοίνυν ἄπειρον οὐκ ἐνδέχεται, δῆλον ʼοὔτε γὰρ περιττὸς ὁ ἄπειρός ἐστιν οὔτʼ ἄρτιος, ἡ δὲ γένεσις τῶν ἀριθμῶν ἢ περιττοῦ ἀριθμοῦ ἢ ἀρτίου ἀεί ἐστιν:

ostis men toinun apeiros ou endechomai delos-3 oute gar perissos o apeiros eimi oute artios o de genesis o arithmos ee perissos arithmos ee artios aei eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3859)

ὡδὶ μὲν τοῦ ἑνὸς εἰς τὸν ἄρτιον πίπτοντος περιττός, ὡδὶ δὲ τῆς μὲν δυάδος ἐμπιπτούσης ὁ ἀφʼ ἑνὸς διπλασιαζόμενος, ὡδὶ δὲ τῶν περιττῶν ὁ ἄλλος ἄρτιος:

odi-2 men o eis-2 eis o artios pipto perissos odi-2 de o men duas empitno o apo eis-2 diplasiazo odi-2 de o perissos o allos artios


Aristotle, Metaphysics book 13 (DIORISIS sentence 3860)

ἔτι εἰ πᾶσα ἰδέα τινὸς οἱ δὲ ἀριθμοὶ ἰδέαι, καὶ ὁ ἄπειρος ἔσται ἰδέα τινός, ἢ τῶν αἰσθητῶν ἢ ἄλλου τινός:

eti ei pas idea tis o de arithmos idea kai o apeiros eimi idea tis ee o aisthetes ee allos tis


Aristotle, Metaphysics book 13 (DIORISIS sentence 3861)

καίτοι οὔτε κατὰ τὴν θέσιν ἐνδέχεται οὔτε κατὰ λόγον, τάττουσί γʼ οὕτω τὰς ἰδέαςʼ:

kaitoi-2 oute kata o thesis endechomai oute kata logos tasso ge outos-2 o idea


Aristotle, Metaphysics book 13 (DIORISIS sentence 3862)

εἰ δὲ πεπερασμένος, μέχρι πόσου;


Aristotle, Metaphysics book 13 (DIORISIS sentence 3863)

τοῦτο γὰρ δεῖ λέγεσθαι οὐ μόνον ὅτι ἀλλὰ καὶ διότι.

outos gar deomai lego ou monos ostis alla kai dioti


Aristotle, Metaphysics book 13 (DIORISIS sentence 3864)

ἀλλὰ μὴν εἰ μέχρι τῆς δεκάδος ὁ ἀριθμός, ὥσπερ τινές φασιν, πρῶτον μὲν ταχὺ ἐπιλείψει τὰ εἴδη— οἷον εἰ ἔστιν ἡ τριὰς αὐτοάνθρωπος, τίς ἔσται ἀριθμὸς αὐτόιππος;

alla men-2 ei mechri o dekas o arithmos osper-2 tis phemi proteros men tachus epileibo o eidos oios-2 ei eimi o trias autoanthropos tis-2 eimi arithmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3865)

αὐτὸ γὰρ ἕκαστος ἀριθμὸς μέχρι δεκάδος:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3866)

ἀνάγκη δὴ τῶν ἐν τούτοις ἀριθμῶν τινὰ εἶναι ʼοὐσίαι γὰρ καὶ ἰδέαι οὗτοἰ:

anagke de-2 o en outos arithmeo tis eimi ousia gar kai idea outos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3867)

ἀλλʼ ὅμως ἐπιλείψει ʼτὰ τοῦ ζῴου γὰρ εἴδη ὑπερέξεἰ— ἅμα δὲ δῆλον ὅτι εἰ οὕτως ἡ τριὰς αὐτοάνθρωπος, καὶ αἱ ἄλλαι τριάδες ʼὅμοιαι γὰρ αἱ ἐν τοῖς αὐτοῖς ἀριθμοῖςʼ, ὥστʼ ἄπειροι ἔσονται ἄνθρωποι, εἰ μὲν ἰδέα ἑκάστη τριάς, αὐτὸ ἕκαστος ἄνθρωπος, εἰ δὲ μή, ἀλλʼ ἄνθρωποί γε.

alla omos-5 epileibo o o zoion-2 gar eidos uperecho ama de delos-3 ostis ei outos-2 o trias autoanthropos kai o allos trias omoios gar o en o autos arithmeo oste-2 apeiros eimi anthropos ei men idea ekastos trias autos ekastos anthropos ei de me alla anthropos ge


Aristotle, Metaphysics book 13 (DIORISIS sentence 3868)

καὶ εἰ μέρος ὁ ἐλάττων τοῦ μείζονος, ὁ ἐκ τῶν συμβλητῶν μονάδων τῶν ἐν τῷ αὐτῷ ἀριθμῷ, εἰ δὴ ἡ τετρὰς αὐτὴ ἰδέα τινός ἐστιν, οἷον ἵππου ἢ λευκοῦ, ὁ ἄνθρωπος ἔσται μέρος ἵππου, εἰ δυὰς ὁ ἄνθρωπος.

kai ei meros-2 o elasson o megas o ek o sumbletos monas o en o autos arithmos ei de-2 o tetras autos idea tis eimi oios-2 ippos ee leukos o anthropos eimi meros-2 ippos ei duas o anthropos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3869)

ἄτοπον δὲ καὶ τὸ τῆς μὲν δεκάδος εἶναι ἰδέαν ἑνδεκάδος δὲ μή, μηδὲ τῶν ἐχομένων ἀριθμῶν.

atopos de kai o o men dekas eimi idea endekas de me mede o echo arithmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3870)

ἔτι δὲ καὶ ἔστι καὶ γίγνεται ἔνια καὶ ὧν εἴδη οὐκ ἔστιν, ὥστε διὰ τί οὐ κἀκείνων εἴδη ἔστιν;

eti de kai eimi kai gignomai enioi kai os eidos ou eimi oste-2 dia tis-2 ou ekeinos eidos eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3871)

οὐκ ἄρα αἴτια τὰ εἴδη ἐστίν.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3872)

ἔτι ἄτοπον εἰ ὁ ἀριθμὸς ὁ μέχρι τῆς δεκάδος μᾶλλόν τι ὂν καὶ εἶδος αὐτῆς τῆς δεκάδος, καίτοι τοῦ μὲν οὐκ ἔστι γένεσις ὡς ἑνός, τῆς δʼ ἔστιν.

eti atopos ei o arithmos o mechri o dekas mallon tis eimi kai eidos autos o dekas kaitoi-2 o men ou eimi genesis os-2 eis-2 o de eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3873)

πειρῶνται δʼ ὡς τοῦ μέχρι τῆς δεκάδος τελείου ὄντος ἀριθμοῦ.

peirao de os-2 o mechri o dekas teleios eimi arithmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3874)

γεννῶσι γοῦν τὰ ἑπόμενα, οἷον τὸ κενόν, ἀναλογίαν, τὸ περιττόν, τὰ ἄλλα τὰ τοιαῦτα, ἐντὸς τῆς δεκάδος:

gennao goun o epomai oios-2 o kenos analogia o perissos o allos o toioutos entos o dekas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3875)

τὰ μὲν γὰρ ταῖς ἀρχαῖς ἀποδιδόασιν, οἷον κίνησιν στάσιν, ἀγαθὸν κακόν, τὰ δʼ ἄλλα τοῖς ἀριθμοῖς:

o men gar o arche apodidomi oios-2 kinesis stasis agathos kakos o de allos o arithmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3876)

διὸ τὸ ἓν τὸ περιττόν:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3877)

εἰ γὰρ ἐν τῇ τριάδι, πῶς ἡ πεντὰς περιττόν;

ei gar en o trias pos-2 o pentas perissos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3878)

ἔτι τὰ μεγέθη καὶ ὅσα τοιαῦτα μέχρι ποσοῦ, οἷον ἡ πρώτη γραμμή, ἡ ἄτομος, εἶτα δυάς, εἶτα καὶ ταῦτα μέχρι δεκάδος.

eti o megethos kai osos toioutos mechri posos-2 oios-2 o proteros gramme o atomos eita duas eita kai outos mechri dekas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3879)

ἔτι εἰ ἔστι χωριστὸς ὁ ἀριθμός, ἀπορήσειεν ἄν τις πότερον πρότερον τὸ ἓν ἢ ἡ τριὰς καὶ ἡ δυάς.

eti ei eimi choristos o arithmos aporeo1 an tis poteros proteros o eis-2 ee o trias kai o duas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3880)

ᾗ μὲν δὴ σύνθετος ὁ ἀριθμός, τὸ ἕν, ᾗ δὲ τὸ καθόλου πρότερον καὶ τὸ εἶδος, ὁ ἀριθμός:

os men de-2 sunthetos o arithmos o eis-2 os de o katholou proteros kai o eidos o arithmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3881)

ἑκάστη γὰρ τῶν μονάδων μόριον τοῦ ἀριθμοῦ ὡς ὕλη, ὁ δʼ ὡς εἶδος.

ekastos gar o monas morion o arithmos os-2 ule o de os-2 eidos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3882)

καὶ ἔστι μὲν ὡς ἡ ὀρθὴ προτέρα τῆς ὀξείας, ὅτι ὥρισται καὶ τῷ λόγῳ:

kai eimi men os-2 o orthos proteros o oxus ostis orizo kai o logos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3883)

ἔστι δʼ ὡς ἡ ὀξεῖα, ὅτι μέρος καὶ εἰς ταύτην διαιρεῖται.

eimi de os-2 o oxus ostis meros-2 kai eis outos diaireo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3884)

ὡς μὲν δὴ ὕλη ἡ ὀξεῖα καὶ τὸ στοιχεῖον καὶ ἡ μονὰς πρότερον, ὡς δὲ κατὰ τὸ εἶδος καὶ τὴν οὐσίαν τὴν κατὰ τὸν λόγον ἡ ὀρθὴ καὶ τὸ ὅλον τὸ ἐκ τῆς ὕλης καὶ τοῦ εἴδους:

os-2 men de-2 ule o oxus kai o stoicheion kai o monas proteros os-2 de kata o eidos kai o ousia o kata o logos o orthos kai o olos o ek o ule kai o eidos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3885)

ἐγγύτερον γὰρ τοῦ εἴδους καὶ οὗ ὁ λόγος τὸ ἄμφω, γενέσει δʼ ὕστερον.

egguteros gar o eidos kai e o logos o ampho genesis de usteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3886)

πῶς οὖν ἀρχὴ τὸ ἕν;


Aristotle, Metaphysics book 13 (DIORISIS sentence 3887)

ὅτι οὐ διαιρετόν, φασίν:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3888)

ἀλλʼ ἀδιαίρετον καὶ τὸ καθόλου καὶ τὸ ἐπὶ μέρους καὶ τὸ στοιχεῖον.

alla adiairetos kai o katholou kai o epi meros-2 kai o stoicheion


Aristotle, Metaphysics book 13 (DIORISIS sentence 3889)

ἀλλὰ τρόπον ἄλλον, τὸ μὲν κατὰ λόγον τὸ δὲ κατὰ χρόνον.

alla tropos-2 allos o men kata logos o de kata chronos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3890)

ποτέρως οὖν τὸ ἓν ἀρχή;


Aristotle, Metaphysics book 13 (DIORISIS sentence 3891)

ὥσπερ γὰρ εἴρηται, καὶ ἡ ὀρθὴ τῆς ὀξείας καὶ αὕτη ἐκείνης δοκεῖ προτέρα εἶναι, καὶ ἑκατέρα μία.

osper-2 gar eromai kai o orthos o oxus kai outos ekeinos dokeo proteros eimi kai ekateros-2 eis-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3892)

ἀμφοτέρως δὴ ποιοῦσι τὸ ἓν ἀρχήν.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3893)

ἔστι δὲ ἀδύνατον:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3894)

τὸ μὲν γὰρ ὡς εἶδος καὶ ἡ οὐσία τὸ δʼ ὡς μέρος καὶ ὡς ὕλη.

o men gar os-2 eidos kai o ousia o de os-2 meros-2 kai os-2 ule


Aristotle, Metaphysics book 13 (DIORISIS sentence 3895)

ἔστι γάρ πως ἓν ἑκάτερον— τῇ μὲν ἀληθείᾳ δυνάμει ʼεἴ γε ὁ ἀριθμὸς ἕν τι καὶ μὴ ὡς σωρὸς ἀλλʼ ἕτερος ἐξ ἑτέρων μονάδων, ὥσπερ φασίνʼ, ἐντελεχείᾳ δʼ οὔ, ἔστι μονὰς ἑκατέρα:

eimi gar pos eis-2 ekateros-2 o men aletheia dunamis ei ge o arithmos eis-2 tis kai me os-2 soros-2 alla eteros ek eteros monas osper-2 phemi entelecheia de ou eimi monas ekateros-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3896)

αἴτιον δὲ τῆς συμβαινούσης ἁμαρτίας ὅτι ἅμα ἐκ τῶν μαθημάτων ἐθήρευον καὶ ἐκ τῶν λόγων τῶν καθόλου, ὥστʼ ἐξ ἐκείνων μὲν ὡς στιγμὴν τὸ ἓν καὶ τὴν ἀρχὴν ἔθηκαν ʼἡ γὰρ μονὰς στιγμὴ ἄθετός ἐστιν:

aitios de o sumbaino amartia ostis ama ek o mathema thereuo kai ek o logos o katholou oste-2 ek ekeinos men os-2 stigme o eis-2 kai o arche tithemi o gar monas stigme athetos eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3897)

καθάπερ οὖν καὶ ἕτεροί τινες ἐκ τοῦ ἐλαχίστου τὰ ὄντα συνετίθεσαν, καὶ οὗτοι, ὥστε γίγνεται ἡ μονὰς ὕλη τῶν ἀριθμῶν, καὶ ἅμα προτέρα τῆς δυάδος, πάλιν δʼ ὑστέρα ὡς ὅλου τινὸς καὶ ἑνὸς καὶ εἴδους τῆς δυάδος οὔσηςʼ:

katha oun kai eteros tis ek o elachistos-2 o eimi suntithemi kai outos oste-2 gignomai o monas ule o arithmos kai ama proteros o duas palin de usteros os-2 olos tis kai eis-2 kai eidos o duas eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3898)

διὰ δὲ τὸ καθόλου ζητεῖν τὸ κατηγορούμενον ἓν καὶ οὕτως ὡς μέρος ἔλεγον.

dia de o katholou zeteo o kategoreo eis-2 kai outos-2 os-2 meros-2 lego


Aristotle, Metaphysics book 13 (DIORISIS sentence 3899)

ταῦτα δʼ ἅμα τῷ αὐτῷ ἀδύνατον ὑπάρχειν.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3900)

εἰ δὲ τὸ ἓν αὐτὸ δεῖ μόνον ἄθετον εἶναι ʼοὐθενὶ γὰρ διαφέρει ἢ ὅτι ἀρχἤ, καὶ ἡ μὲν δυὰς διαιρετὴ ἡ δὲ μονὰς οὔ, ὁμοιοτέρα ἂν εἴη τῷ ἑνὶ αὐτῷ ἡ μονάς.

ei de o eis-2 autos deomai monos athetos eimi oudeis gar diaphero ee ostis kai o men duas diairetos o de monas ou omoios an aio o eis-2 autos o monas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3901)

εἰ δʼ ἡ μονάς, κἀκεῖνο τῇ μονάδι ἢ τῇ δυάδι:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3902)

ὥστε προτέρα ἂν εἴη ἑκατέρα ἡ μονὰς τῆς δυάδος.

oste-2 proteros an aio ekateros-2 o monas o duas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3903)

οὔ φασι δέ:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3904)

γεννῶσι γοῦν τὴν δυάδα πρῶτον.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3905)

ἔτι εἰ ἔστιν ἡ δυὰς ἕν τι αὐτὴ καὶ ἡ τριὰς αὐτή, ἄμφω δυάς.

eti ei eimi o duas eis-2 tis autos kai o trias autos ampho duas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3906)

ἐκ τίνος οὖν αὕτη ἡ δυάς;


Aristotle, Metaphysics book 13 (DIORISIS sentence 3907)

ἀπορήσειε δʼ ἄν τις καὶ ἐπεὶ ἁφὴ μὲν οὐκ ἔστιν ἐν τοῖς ἀριθμοῖς, τὸ δʼ ἐφεξῆς, ὅσων μὴ ἔστι μεταξὺ μονάδων ʼοἷον τῶν ἐν τῇ δυάδι ἢ τῇ τριάδἰ, πότερον ἐφεξῆς τῷ ἑνὶ αὐτῷ ἢ οὔ, καὶ πότερον ἡ δυὰς προτέρα τῶν ἐφεξῆς ἢ τῶν μονάδων ὁποτεραοῦν.

aporeo1 de an tis kai epei aphe men ou eimi en o arithmos o de epecho osos me eimi metaxu monas oios-2 o en o duas ee o trias poteros ephexes o eis-2 autos ee ou kai poteros o duas proteros o ephexes ee o monas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3908)

ὁμοίως δὲ καὶ περὶ τῶν ὕστερον γενῶν τοῦ ἀριθμοῦ συμβαίνει τὰ δυσχερῆ, γραμμῆς τε καὶ ἐπιπέδου καὶ σώματος.

omoios de kai peri o usteros genos o arithmos sumbaino o duscheres gramme te kai epipedos kai soma


Aristotle, Metaphysics book 13 (DIORISIS sentence 3909)

οἱ μὲν γὰρ ἐκ τῶν εἰδῶν τοῦ μεγάλου καὶ τοῦ μικροῦ ποιοῦσιν, οἷον ἐκ μακροῦ μὲν καὶ βραχέος τὰ μήκη, πλατέος δὲ καὶ στενοῦ τὰ ἐπίπεδα, ἐκ βαθέος δὲ καὶ ταπεινοῦ τοὺς ὄγκους:

o men gar ek o eidos o megas kai o mikros poieo oios-2 ek makros men kai brachus o mekos platus de kai stenos o epipedos ek bathus de kai tapeinos o ogkos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3910)

ταῦτα δέ ἐστιν εἴδη τοῦ μεγάλου καὶ μικροῦ.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3911)

τὴν δὲ κατὰ τὸ ἓν ἀρχὴν ἄλλοι ἄλλως τιθέασι τῶν τοιούτων.

o de kata o eis-2 arche allos allos-2 tithemi o toioutos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3912)

καὶ ἐν τούτοις δὲ μυρία φαίνεται τά τε ἀδύνατα καὶ τὰ πλασματώδη καὶ τὰ ὑπεναντία πᾶσι τοῖς εὐλόγοις.

kai en outos de murios phaino tis-2 te adunatos-2 kai o plasmatodes kai o upenantios pas o eulogos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3913)

ἀπολελυμένα τε γὰρ ἀλλήλων συμβαίνει, εἰ μὴ συνακολουθοῦσι καὶ αἱ ἀρχαὶ ὥστʼ εἶναι τὸ πλατὺ καὶ στενὸν καὶ μακρὸν καὶ βραχύ ʼεἰ δὲ τοῦτο, ἔσται τὸ ἐπίπεδον γραμμὴ καὶ τὸ στερεὸν ἐπίπεδον:

apoluo te gar allelon sumbaino ei me sunakoloutheo kai o arche oste-2 eimi o platus kai stenos kai makros kai brachus ei de outos eimi o epipedos gramme kai o stereos epipedos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3914)

ἔτι δὲ γωνίαι καὶ σχήματα καὶ τὰ τοιαῦτα πῶς ἀποδοθήσεταιʼ;'

eti de gonia kai schema-2 kai o toioutos pos-2 apodidomi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3915)

ταὐτό τε συμβαίνει τοῖς περὶ τὸν ἀριθμόν:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3916)

ταῦτα γὰρ πάθη μεγέθους ἐστίν, ἀλλʼ οὐκ ἐκ τούτων τὸ μέγεθος, ὥσπερ οὐδʼ ἐξ εὐθέος καὶ καμπύλου τὸ μῆκος οὐδʼ ἐκ λείου καὶ τραχέος τὰ στερεά.

outos gar pathe-2 megethos eimi alla ou ek outos o megethos osper-2 oude ek euthus kai kampulos o mekos oude ek leios kai trachus o stereos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3917)

πάντων δὲ κοινὸν τούτων ὅπερ ἐπὶ τῶν εἰδῶν τῶν ὡς γένους συμβαίνει διαπορεῖν, ὅταν τις θῇ τὰ καθόλου, πότερον τὸ ζῷον αὐτὸ ἐν τῷ ζῴῳ ἢ ἕτερον αὐτοῦ ζῴου.

pas de koinos outos osper epi o eidos o os-2 genos sumbaino diaporeo otan tis thaomai o katholou poteros o zoion-2 autos en o zoion-2 ee eteros autos zoion-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3918)

τοῦτο γὰρ μὴ χωριστοῦ μὲν ὄντος οὐδεμίαν ποιήσει ἀπορίαν:

outos gar me choristes men eimi oudeis poieo aporia


Aristotle, Metaphysics book 13 (DIORISIS sentence 3919)

χωριστοῦ δέ, ὥσπερ οἱ ταῦτα λέγοντές φασι, τοῦ ἑνὸς καὶ τῶν ἀριθμῶν οὐ ῥᾴδιον λῦσαι, εἰ μὴ ῥᾴδιον δεῖ λέγειν τὸ ἀδύνατον.

choristes de osper-2 e outos lego phemi o eis-2 kai o arithmos ou raidion luo ei me raidion deomai lego o adunatos-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3920)

ὅταν γὰρ νοῇ τις ἐν τῇ δυάδι τὸ ἓν καὶ ὅλως ἐν ἀριθμῷ, πότερον αὐτὸ νοεῖ τι ἢ ἕτερον;

otan gar noeo tis en o duas o eis-2 kai olos en arithmos poteros autos noeo tis ee eteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3921)

οἱ μὲν οὖν τὰ μεγέθη γεννῶσιν ἐκ τοιαύτης ὕλης, ἕτεροι δὲ ἐκ τῆς στιγμῆς ʼἡ δὲ στιγμὴ αὐτοῖς δοκεῖ εἶναι οὐχ ἓν ἀλλʼ οἷον τὸ ἕνʼ καὶ ἄλλης ὕλης οἵας τὸ πλῆθος, ἀλλʼ οὐ πλήθους:

o men oun o megethos gennao ek toioutos ule eteros de ek o stigme o de stigme autos dokeo eimi ou eis-2 alla oios-2 o enos kai allos ule oios-2 o plethos alla ou plethos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3922)

περὶ ὧν οὐδὲν ἧττον συμβαίνει τὰ αὐτὰ ἀπορεῖν.

peri os oudeis esson sumbaino o autos aphorao


Aristotle, Metaphysics book 13 (DIORISIS sentence 3923)

εἰ μὲν γὰρ μία ἡ ὕλη, ταὐτὸ γραμμὴ καὶ ἐπίπεδον καὶ στερεόν ʼἐκ γὰρ τῶν αὐτῶν τὸ αὐτὸ καὶ ἓν ἔσταἰ:

ei men gar eis-2 o ule autos gramme kai epipedos kai stereos ek gar o autos o autos kai eis-2 eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3924)

εἰ δὲ πλείους αἱ ὗλαι καὶ ἑτέρα μὲν γραμμῆς ἑτέρα δὲ τοῦ ἐπιπέδου καὶ ἄλλη τοῦ στερεοῦ, ἤτοι ἀκολουθοῦσιν ἀλλήλαις ἢ οὔ, ὥστε ταὐτὰ συμβήσεται καὶ οὕτως:

ei de pleos o ule kai eteros men gramme eteros de o epipedos kai allos o stereos etoi akoloutheo allelon ee ou oste-2 tautos-2 sumbaino kai outos-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3925)

ἢ γὰρ οὐχ ἕξει τὸ ἐπίπεδον γραμμὴν ἢ ἔσται γραμμή.

ee gar ou echo o epipedos gramme ee eimi gramme


Aristotle, Metaphysics book 13 (DIORISIS sentence 3926)

ἔτι πῶς μὲν ἐνδέχεται εἶναι ἐκ τοῦ ἑνὸς καὶ πλήθους τὸν ἀριθμὸν οὐθὲν ἐπιχειρεῖται:

eti pos-2 men endechomai eimi ek o eis-2 kai plethos o arithmos oudeis epicheireo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3927)

ὅπως δʼ οὖν λέγουσι ταὐτὰ συμβαίνει δυσχερῆ ἅπερ καὶ τοῖς ἐκ τοῦ ἑνὸς καὶ ἐκ τῆς δυάδος τῆς ἀορίστου.

opos de oun lego tautos-2 sumbaino duscheres os kai o ek o eis-2 kai ek o duas o aoristos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3928)

ὁ μὲν γὰρ ἐκ τοῦ κατηγορουμένου καθόλου γεννᾷ τὸν ἀριθμὸν καὶ οὐ τινὸς πλήθους, ὁ δʼ ἐκ τινὸς πλήθους, τοῦ πρώτου δέ ʼτὴν γὰρ δυάδα πρῶτόν τι εἶναι πλῆθοςʼ, ὥστε διαφέρει οὐθὲν ὡς εἰπεῖν, ἀλλʼ αἱ ἀπορίαι αἱ αὐταὶ ἀκολουθήσουσι, μῖξις ἢ θέσις ἢ κρᾶσις ἢ γένεσις καὶ ὅσα ἄλλα τοιαῦτα.

o men gar ek o kategoreo katholou gennao o arithmos kai ou tis plethos o de ek tis plethos o proteros de o gar duas proteros tis eimi plethos oste-2 diaphero oudeis os-2 eipon alla o aporia o autos akoloutheo mixis-2 ee thesis ee krasis ee genesis kai osos allos toioutos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3929)

μάλιστα δʼ ἄν τις ἐπιζητήσειεν, εἰ μία ἑκάστη μονάς, ἐκ τίνος ἐστίν:

malista de an tis epizeteo ei eis-2 ekastos monas ek tis-2 eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3930)

οὐ γὰρ δὴ αὐτό γε τὸ ἓν ἑκάστη.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3931)

ἀνάγκη δὴ ἐκ τοῦ ἑνὸς αὐτοῦ εἶναι καὶ πλήθους ἢ μορίου τοῦ πλήθους.

anagke de-2 ek o eis-2 autos eimi kai plethos ee morion o plethos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3932)

τὸ μὲν οὖν πλῆθός τι εἶναι φάναι τὴν μονάδα ἀδύνατον, ἀδιαίρετόν γʼ οὖσαν:

o men oun plethos tis eimi phaino o monas adunatos-2 adiairetos ge eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3933)

τὸ δʼ ἐκ μορίου ἄλλας ἔχει πολλὰς δυσχερείας:

o de ek morion allos echo polus duschereia


Aristotle, Metaphysics book 13 (DIORISIS sentence 3934)

ἀδιαίρετόν τε γὰρ ἕκαστον ἀναγκαῖον εἶναι τῶν μορίων ʼἢ πλῆθος εἶναι καὶ τὴν μονάδα διαιρετήνʼ καὶ μὴ στοιχεῖον εἶναι τὸ ἓν καὶ τὸ πλῆθος ʼἡ γὰρ μονὰς ἑκάστη οὐκ ἐκ πλήθους καὶ ἑνόςʼ:

adiairetos te gar ekastos anagkaion eimi o morion ee plethos eimi kai o monas diairetos kai me stoicheion eimi o eis-2 kai o plethos o gar monas ekastos ou ek plethos kai eis-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3935)

ἔτι οὐθὲν ἄλλο ποιεῖ ὁ τοῦτο λέγων ἀλλʼ ἢ ἀριθμὸν ἕτερον:

eti oudeis allos poieo o outos lego alla ee arithmos eteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3936)

τὸ γὰρ πλῆθος ἀδιαιρέτων ἐστὶν ἀριθμός.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3937)

ἔτι ζητητέον καὶ περὶ τοὺς οὕτω λέγοντας πότερον ἄπειρος ὁ ἀριθμὸς ἢ πεπερασμένος.

eti zeteteos kai peri o outos-2 lego poteros apeiros o arithmos ee peraino


Aristotle, Metaphysics book 13 (DIORISIS sentence 3938)

ὑπῆρχε γάρ, ὡς ἔοικε, καὶ πεπερασμένον πλῆθος, ἐξ οὗ αἱ πεπερασμέναι μονάδες καὶ τοῦ ἑνός:

uparcho gar os-2 eoika kai peraino plethos ek e o peraino monas kai o eis-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3939)

ἔστι τε ἕτερον αὐτὸ πλῆθος καὶ πλῆθος ἄπειρον:

eimi te eteros autos plethos kai plethos apeiros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3940)

ποῖον οὖν πλῆθος στοιχεῖόν ἐστι καὶ τὸ ἕν;

poios oun plethos stoicheion eimi kai o eis-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3941)

ὁμοίως δὲ καὶ περὶ στιγμῆς ἄν τις ζητήσειε καὶ τοῦ στοιχείου ἐξ οὗ ποιοῦσι τὰ μεγέθη.

omoios de kai peri stigme an tis zeteo kai o stoicheion ek e poieo o megethos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3942)

οὐ γὰρ μία γε μόνον στιγμή ἐστιν αὕτη:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3943)

τῶν γοῦν ἄλλων στιγμῶν ἑκάστη ἐκ τίνος;


Aristotle, Metaphysics book 13 (DIORISIS sentence 3944)

οὐ γὰρ δὴ ἔκ γε διαστήματός τινος καὶ αὐτῆς στιγμῆς.

ou gar de-2 ek ge diastema-2 tis kai autos stigme


Aristotle, Metaphysics book 13 (DIORISIS sentence 3945)

ἀλλὰ μὴν οὐδὲ μόρια ἀδιαίρετα ἐνδέχεται τοῦ διαστήματος εἶναι ὥσπερ τοῦ πλήθους ἐξ ὧν αἱ μονάδες:

alla men-2 oude morion adiairetos endechomai o diastema-2 eimi osper-2 o plethos ek os o monas


Aristotle, Metaphysics book 13 (DIORISIS sentence 3946)

ὁ μὲν γὰρ ἀριθμὸς ἐξ ἀδιαιρέτων σύγκειται τὰ δὲ μεγέθη οὔ.

o men gar arithmos ek adiairetos sugkeimai o de megethos ou


Aristotle, Metaphysics book 13 (DIORISIS sentence 3947)

πάντα δὴ ταῦτα καὶ ἄλλα τοιαῦτα φανερὸν ποιεῖ ὅτι ἀδύνατον εἶναι τὸν ἀριθμὸν καὶ τὰ μεγέθη χωριστά, ἔτι δὲ τὸ διαφωνεῖν τοὺς τρόπους περὶ τῶν ἀριθμῶν σημεῖον ὅτι τὰ πράγματα αὐτὰ οὐκ ὄντα ἀληθῆ παρέχει τὴν ταραχὴν αὐτοῖς.

pas de-2 outos kai allos toioutos phaneros poieo ostis adunatos-2 eimi o arithmos kai o megethos choristes eti de o diaphoneo o tropos-2 peri o arithmos semeion ostis o pragma autos ou eimi alethes paracheo o tarache autos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3948)

οἱ μὲν γὰρ τὰ μαθηματικὰ μόνον ποιοῦντες παρὰ τὰ αἰσθητά, ὁρῶντες τὴν περὶ τὰ εἴδη δυσχέρειαν καὶ πλάσιν, ἀπέστησαν ἀπὸ τοῦ εἰδητικοῦ ἀριθμοῦ καὶ τὸν μαθηματικὸν ἐποίησαν:

o men gar o mathematikos monos poieo para o aisthetes orao o peri o eidos duschereia kai plasis aphistemi apo o eidetikos-2 arithmos kai o mathematikos poieo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3949)

οἱ δὲ τὰ εἴδη βουλόμενοι ἅμα καὶ ἀριθμοὺς ποιεῖν, οὐχ ὁρῶντες δέ, εἰ τὰς ἀρχάς τις ταύτας θήσεται, πῶς ἔσται ὁ μαθηματικὸς ἀριθμὸς παρὰ τὸν εἰδητικόν, τὸν αὐτὸν εἰδητικὸν καὶ μαθηματικὸν ἐποίησαν ἀριθμὸν τῷ λόγῳ, ἐπεὶ ἔργῳ γε ἀνῄρηται ὁ μαθηματικός ʼἰδίας γὰρ καὶ οὐ μαθηματικὰς ὑποθέσεις λέγουσινʼ:

o de o eidos boulomai ama kai arithmos poieo ou orao de ei o arche tis outos tithemi pos-2 eimi o mathematikos arithmos para o eidetikos-2 o autos eidetikos-2 kai mathematikos poieo arithmos o logos epei ergon ge anaireo o mathematikos idios gar kai ou mathematikos upothesis lego


Aristotle, Metaphysics book 13 (DIORISIS sentence 3950)

ὁ δὲ πρῶτος θέμενος τὰ εἴδη εἶναι καὶ ἀριθμοὺς τὰ εἴδη καὶ τὰ μαθηματικὰ εἶναι εὐλόγως ἐχώρισεν:

o de proteros tithemi o eidos eimi kai arithmos o eidos kai o mathematikos eimi eulogos chorizo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3951)

ὥστε πάντας συμβαίνει κατὰ μέν τι λέγειν ὀρθῶς, ὅλως δʼ οὐκ ὀρθῶς.

oste-2 pas sumbaino kata men tis lego orthos olos de ou orthos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3952)

καὶ αὐτοὶ δὲ ὁμολογοῦσιν οὐ ταὐτὰ λέγοντες ἀλλὰ τὰ ἐναντία.

kai autos de omologeo ou tautos-2 lego alla o enantios


Aristotle, Metaphysics book 13 (DIORISIS sentence 3953)

αἴτιον δʼ ὅτι αἱ ὑποθέσεις καὶ αἱ ἀρχαὶ ψευδεῖς.

aitios de ostis o upothesis kai o arche pseudes


Aristotle, Metaphysics book 13 (DIORISIS sentence 3954)

χαλεπὸν δʼ ἐκ μὴ καλῶς ἐχόντων λέγειν καλῶς, κατʼ Ἐπίχαρμον:

chalepos de ek me kalos echo lego kalos kata epicharmos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3955)

ἀρτίως τε γὰρ λέλεκται, καὶ εὐθέως φαίνεται οὐ καλῶς ἔχον.

artios te gar lego kai euthus phaino ou kalos echo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3956)

ἀλλὰ περὶ μὲν τῶν ἀριθμῶν ἱκανὰ τὰ διηπορημένα καὶ διωρισμένα ʼμᾶλλον γὰρ ἐκ πλειόνων ἂν ἔτι πεισθείη τις πεπεισμένος, πρὸς δὲ τὸ πεισθῆναι μὴ πεπεισμένος οὐθὲν μᾶλλονʼ:

alla peri men o arithmos ikanos o diaporeo kai diorizo mallon gar ek pleion an eti peitho tis peitho pros de o peitho me peitho oudeis mallon


Aristotle, Metaphysics book 13 (DIORISIS sentence 3957)

περὶ δὲ τῶν πρώτων ἀρχῶν καὶ τῶν πρώτων αἰτίων καὶ στοιχείων ὅσα μὲν λέγουσιν οἱ περὶ μόνης τῆς αἰσθητῆς οὐσίας διορίζοντες, τὰ μὲν ἐν τοῖς περὶ φύσεως εἴρηται, τὰ δʼ οὐκ ἔστι τῆς μεθόδου τῆς νῦν:

peri de o proteros arche kai o proteros aitios kai stoicheion osos men lego o peri monos o aisthetos ousia diorizo o men en o peri phusis eromai o de ou eimi o methodos o nun


Aristotle, Metaphysics book 13 (DIORISIS sentence 3958)

ὅσα δὲ οἱ φάσκοντες εἶναι παρὰ τὰς αἰσθητὰς ἑτέρας οὐσίας, ἐχόμενόν ἐστι θεωρῆσαι τῶν εἰρημένων.

osos de e phasko eimi para o aisthetes eteros ousia echo eimi theoreo-2 o ero


Aristotle, Metaphysics book 13 (DIORISIS sentence 3959)

ἐπεὶ οὖν λέγουσί τινες τοιαύτας εἶναι τὰς ἰδέας καὶ τοὺς ἀριθμούς, καὶ τὰ τούτων στοιχεῖα τῶν ὄντων εἶναι στοιχεῖα καὶ ἀρχάς, σκεπτέον περὶ τούτων τί λέγουσι καὶ πῶς λέγουσιν.

epei oun lego tis toioutos eimi o idea kai o arithmos kai o outos stoicheion o eimi eimi stoicheion kai arche skepteos peri outos tis-2 lego kai pos-2 lego


Aristotle, Metaphysics book 13 (DIORISIS sentence 3960)

οἱ μὲν οὖν ἀριθμοὺς ποιοῦντες μόνον καὶ τούτους μαθηματικοὺς ὕστερον ἐπισκεπτέοι:

o men oun arithmos poieo monos kai outos mathematikos usteros episkepteos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3961)

τῶν δὲ τὰς ἰδέας λεγόντων ἅμα τόν τε τρόπον θεάσαιτʼ ἄν τις καὶ τὴν ἀπορίαν τὴν περὶ αὐτῶν.

o de o idea lego ama o te tropos-2 theaomai an tis kai o aporia o peri autos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3962)

ἅμα γὰρ καθόλου τε ποιοῦσι τὰς ἰδέας καὶ πάλιν ὡς χωριστὰς καὶ τῶν καθʼ ἕκαστον.

ama gar katholou te poieo o idea kai palin os-2 choristos kai o kata ekastos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3963)

ταῦτα δʼ ὅτι οὐκ ἐνδέχεται διηπόρηται πρότερον.

outos de ostis ou endechomai diaporeo proteros


Aristotle, Metaphysics book 13 (DIORISIS sentence 3964)

αἴτιον δὲ τοῦ συνάψαι ταῦτα εἰς ταὐτὸν τοῖς λέγουσι τὰς οὐσίας καθόλου, ὅτι τοῖς αἰσθητοῖς οὐ τὰς αὐτὰς ἐποίουν:

aitios de o sunapto outos eis tautos-2 o lego o ousia katholou ostis o aisthetos ou o autos poieo


Aristotle, Metaphysics book 13 (DIORISIS sentence 3965)

τὰ μὲν οὖν ἐν τοῖς αἰσθητοῖς καθʼ ἕκαστα ῥεῖν ἐνόμιζον καὶ μένειν οὐθὲν αὐτῶν, τὸ δὲ καθόλου παρὰ ταῦτα εἶναί τε καὶ ἕτερόν τι εἶναι.

o men oun en o aisthetos kata ekastos reo nomizo kai meno oudeis autos o de katholou para outos eimi te kai eteros tis eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3966)

τοῦτο δʼ, ὥσπερ ἐν τοῖς ἔμπροσθεν ἐλέγομεν, ἐκίνησε μὲν Σωκράτης διὰ τοὺς ὁρισμούς, οὐ μὴν ἐχώρισέ γε τῶν καθʼ ἕκαστον:

outos de osper-2 en o emprosthen lego kineo men sokrates-2 dia o orismos ou men-2 chorizo ge o kata ekastos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3967)

καὶ τοῦτο ὀρθῶς ἐνόησεν οὐ χωρίσας.


Aristotle, Metaphysics book 13 (DIORISIS sentence 3968)

δηλοῖ δὲ ἐκ τῶν ἔργων:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3969)

ἄνευ μὲν γὰρ τοῦ καθόλου οὐκ ἔστιν ἐπιστήμην λαβεῖν, τὸ δὲ χωρίζειν αἴτιον τῶν συμβαινόντων δυσχερῶν περὶ τὰς ἰδέας ἐστίν.

aneu men gar o katholou ou eimi episteme lambano o de chorizo aitios o sumbaino duscheres peri o idea eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3970)

οἱ δʼ ὡς ἀναγκαῖον, εἴπερ ἔσονταί τινες οὐσίαι παρὰ τὰς αἰσθητὰς καὶ ῥεούσας, χωριστὰς εἶναι, ἄλλας μὲν οὐκ εἶχον ταύτας δὲ τὰς καθόλου λεγομένας ἐξέθεσαν, ὥστε συμβαίνειν σχεδὸν τὰς αὐτὰς φύσεις εἶναι τὰς καθόλου καὶ τὰς καθʼ ἕκαστον.

e de os-2 anagkaios eiper eimi tis ousia para o aisthetes kai reo choristos eimi allos men ou echo outos de o katholou lego oste-2 sumbaino schedon o autos phusis eimi o katholou kai o kata ekastos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3971)

αὕτη μὲν οὖν αὐτὴ καθʼ αὑτὴν εἴη τις ἂν δυσχέρεια τῶν εἰρημένων.

outos men oun autos kata eautou aio tis an duschereia o ero


Aristotle, Metaphysics book 13 (DIORISIS sentence 3972)

ὃ δὲ καὶ τοῖς λέγουσι τὰς ἰδέας ἔχει τινὰ ἀπορίαν καὶ τοῖς μὴ λέγουσιν, καὶ κατʼ ἀρχὰς ἐν τοῖς διαπορήμασιν ἐλέχθη πρότερον, λέγωμεν νῦν.

os de kai o lego o idea echo tis aporia kai o me lego kai kata arche en o diaporema lego proteros lego nun


Aristotle, Metaphysics book 13 (DIORISIS sentence 3973)

εἰ μὲν γάρ τις μὴ θήσει τὰς οὐσίας εἶναι κεχωρισμένας, καὶ τὸν τρόπον τοῦτον ὡς λέγεται τὰ καθʼ ἕκαστα τῶν ὄντων, ἀναιρήσει τὴν οὐσίαν ὡς βουλόμεθα λέγειν:

ei men gar tis me tithemi o ousia eimi chorizo kai o tropos-2 outos os-2 lego o kata ekastos o eimi anaireo o ousia os-2 boulomai lego


Aristotle, Metaphysics book 13 (DIORISIS sentence 3974)

ἂν δέ τις θῇ τὰς οὐσίας χωριστάς, πῶς θήσει τὰ στοιχεῖα καὶ τὰς ἀρχὰς αὐτῶν;

an de tis thaomai o ousia choristes pos-2 tithemi o stoicheion kai o arche autos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3975)

εἰ μὲν γὰρ καθʼ ἕκαστον καὶ μὴ καθόλου, τοσαῦτʼ ἔσται τὰ ὄντα ὅσαπερ τὰ στοιχεῖα, καὶ οὐκ ἐπιστητὰ τὰ στοιχεῖα ʼἔστωσαν γὰρ αἱ μὲν ἐν τῇ φωνῇ συλλαβαὶ οὐσίαι τὰ δὲ στοιχεῖα αὐτῶν στοιχεῖα τῶν οὐσιῶν:

ei men gar kata ekastos kai me katholou tosoutos eimi o eimi osos o stoicheion kai ou epistetos o stoicheion eimi gar o men en o phone sullabe ousia o de stoicheion autos stoicheion o ousia


Aristotle, Metaphysics book 13 (DIORISIS sentence 3976)

ἀνάγκη δὴ τὸ ΒΑ ἓν εἶναι καὶ ἑκάστην τῶν συλλαβῶν μίαν, εἴπερ μὴ καθόλου καὶ τῷ εἴδει αἱ αὐταὶ ἀλλὰ μία ἑκάστη τῷ ἀριθμῷ καὶ τόδε τι καὶ μὴ ὁμώνυμον:

anagke de-2 o eis-2 eimi kai ekastos o sullabe eis-2 eiper me katholou kai o eidos o autos alla eis-2 ekastos o arithmos kai ode tis kai me omonumos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3977)

ἔτι δʼ αὐτὸ ὃ ἔστιν ἓν ἕκαστον τιθέασιν:

eti de autos os eimi eis-2 ekastos tithemi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3978)

εἰ δʼ αἱ συλλαβαί, οὕτω καὶ ἐξ ὧν εἰσίν:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3979)

οὐκ ἔσται ἄρα πλείω ἄλφα ἑνός, οὐδὲ τῶν ἄλλων στοιχείων οὐθὲν κατὰ τὸν αὐτὸν λόγον ὅνπερ οὐδὲ τῶν συλλαβῶν ἡ αὐτὴ ἄλλη καὶ ἄλλη:

ou eimi ara pleos alpha eis-2 oude o allos stoicheion oudeis kata o autos logos os oude o sullabe o autos allos kai allos


Aristotle, Metaphysics book 13 (DIORISIS sentence 3980)

ἀλλὰ μὴν εἰ τοῦτο, οὐκ ἔσται παρὰ τὰ στοιχεῖα ἕτερα ὄντα, ἀλλὰ μόνον τὰ στοιχεῖα:

alla men-2 ei outos ou eimi para o stoicheion eteros eimi alla monos o stoicheion


Aristotle, Metaphysics book 13 (DIORISIS sentence 3981)

ἔτι δὲ οὐδʼ ἐπιστητὰ τὰ στοιχεῖα:


Aristotle, Metaphysics book 13 (DIORISIS sentence 3982)

οὐ γὰρ καθόλου, ἡ δʼ ἐπιστήμη τῶν καθόλου:

ou gar katholou o de episteme o katholou


Aristotle, Metaphysics book 13 (DIORISIS sentence 3983)

δῆλον δʼ ἐκ τῶν ἀποδείξεων καὶ τῶν ὁρισμῶν, οὐ γὰρ γίγνεται συλλογισμὸς ὅτι τόδε τὸ τρίγωνον δύο ὀρθαῖς, εἰ μὴ πᾶν τρίγωνον δύο ὀρθαί, οὐδʼ ὅτι ὁδὶ ὁ ἄνθρωπος ζῷον, εἰ μὴ πᾶς ἄνθρωπος ζῷονʼ:

delos-3 de ek o apodeixis kai o orismos ou gar gignomai sullogismos ostis ode o trigonos-2 duo orthos ei me pas trigonos-2 duo orthos oude ostis ode o anthropos zoion-2 ei me pas anthropos zoion-2


Aristotle, Metaphysics book 13 (DIORISIS sentence 3984)

ἀλλὰ μὴν εἴγε καθόλου αἱ ἀρχαί, ἢ καὶ αἱ ἐκ τούτων οὐσίαι καθόλου ἢ ἔσται μὴ οὐσία πρότερον οὐσίας:

alla men-2 ei katholou o arche ee kai o ek outos ousia katholou ee eimi me ousia proteros ousia


Aristotle, Metaphysics book 13 (DIORISIS sentence 3985)

τὸ μὲν γὰρ καθόλου οὐκ οὐσία, τὸ δὲ στοιχεῖον καὶ ἡ ἀρχὴ καθόλου, πρότερον δὲ τὸ στοιχεῖον καὶ ἡ ἀρχὴ ὧν ἀρχὴ καὶ στοιχεῖόν ἐστιν.

o men gar katholou ou ousia o de stoicheion kai o arche katholou proteros de o stoicheion kai o arche os arche kai stoicheion eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3986)

ταῦτά τε δὴ πάντα συμβαίνει εὐλόγως, ὅταν ἐκ στοιχείων τε ποιῶσι τὰς ἰδέας καὶ παρὰ τὰς τὸ αὐτὸ εἶδος ἐχούσας οὐσίας ἕν τι ἀξιῶσιν εἶναι καχωρισμένον:

outos te de-2 pas sumbaino eulogos otan ek stoicheion te poieo o idea kai para o o autos eidos echo ousia eis-2 tis axiao eimi


Aristotle, Metaphysics book 13 (DIORISIS sentence 3987)

εἰ δὲ μηθὲν κωλύει ὥσπερ ἐπὶ τῶν τῆς φωνῆς στοιχείων πολλὰ εἶναι τὰ ἄλφα καὶ τὰ βῆτα καὶ μηθὲν εἶναι παρὰ τὰ πολλὰ αὐτὸ ἄλφα καὶ αὐτὸ βῆτα, ἔσονται ἕνεκά γε τούτου ἄπειροι αἱ ὅμοιαι συλλαβαί.

ei de medeis koluo osper-2 epi o o phone stoicheion polus eimi o alpha kai o beta kai medeis eimi para o polus autos alpha kai autos beta eimi eneka ge outos apeiros o omoios sullabe


Aristotle, Metaphysics book 13 (DIORISIS sentence 3988)

τὸ δὲ τὴν ἐπιστήμην εἶναι καθόλου πᾶσαν, ὥστε ἀναγκαῖον εἶναι καὶ τὰς τῶν ὄντων ἀρχὰς καθόλου εἶναι καὶ μὴ οὐσίας κεχωρισμένας, ἔχει μὲν μάλιστʼ ἀπορίαν τῶν λεχθέντων, οὐ μὴν ἀλλὰ ἔστι μὲν ὡς ἀληθὲς τὸ λεγόμενον, ἔστι δʼ ὡς οὐκ ἀληθές.

o de o episteme eimi katholou pas oste-2 anagkaios eimi kai o o eimi arche katholou eimi kai me ousia chorizo echo men malista aporia o lego ou men-2 alla eimi men os-2 alethes o lego eimi de os-2 ou alethes


Aristotle, Metaphysics book 13 (DIORISIS sentence 3989)

ἡ γὰρ ἐπιστήμη, ὥσπερ καὶ τὸ ἐπίστασθαι, διττόν, ὧν τὸ μὲν δυνάμει τὸ δὲ ἐνεργείᾳ.

o gar episteme osper-2 kai o ephistemi dissos os o men dunamis o de energeia


Aristotle, Metaphysics book 13 (DIORISIS sentence 3990)

ἡ μὲν οὖν δύναμις ὡς ὕλη καθόλου οὖσα καὶ ἀόριστος τοῦ καθόλου καὶ ἀορίστου ἐστίν, ἡ δʼ ἐνέργεια ὡρισμένη καὶ ὡρισμένου, τόδε τι οὖσα τοῦδέ τινος, ἀλλὰ κατὰ συμβεβηκὸς ἡ ὄψις τὸ καθόλου χρῶμα ὁρᾷ ὅτι τόδε τὸ χρῶμα ὃ ὁρᾷ χρῶμά ἐστιν, καὶ ὃ θεωρεῖ ὁ γραμματικός, τόδε τὸ ἄλφα ἄλφα:

o men oun dunamis os-2 ule katholou eimi kai aoristos o katholou kai aoristos eimi o de energeia orizo kai orizo ode tis eimi ode tis alla kata sumbaino o opsis o katholou chroma orao ostis ode o chroma os orao chroma eimi kai os theoreo-2 o grammatikos ode o alpha alpha


Aristotle, Metaphysics book 13 (DIORISIS sentence 3991)

ἐπεὶ εἰ ἀνάγκη τὰς ἀρχὰς καθόλου εἶναι, ἀνάγκη καὶ τὰ ἐκ τούτων καθόλου, ὥσπερ ἐπὶ τῶν ἀποδείξεων:

epei ei anagke o arche katholou eimi anagke kai o ek outos katholou osper-2 epi o apodeixis


Aristotle, Metaphysics book 13 (DIORISIS sentence 3992)

εἰ δὲ τοῦτο, οὐκ ἔσται χωριστὸν οὐθὲν οὐδʼ οὐσία.

ei de outos ou eimi choristos oudeis oude ousia


Aristotle, Metaphysics book 13 (DIORISIS sentence 3993)

ἀλλὰ δῆλον ὅτι ἔστι μὲν ὡς ἡ ἐπιστήμη καθόλου, ἔστι δʼ ὡς οὔ.

alla delos-3 ostis eimi men os-2 o episteme katholou eimi de os-2 ou


Aristotle, Metaphysics book 14 (DIORISIS sentence 3994)

περὶ μὲν οὖν τῆς οὐσίας ταύτης εἰρήσθω τοσαῦτα, πάντες δὲ ποιοῦσι τὰς ἀρχὰς ἐναντίας, ὥσπερ ἐν τοῖς φυσικοῖς, καὶ περὶ τὰς ἀκινήτους οὐσίας ὁμοίως.

peri men oun o ousia outos ero tosoutos pas de poieo o arche enantios osper-2 en o phusikos kai peri o akinetos ousia omoios


Aristotle, Metaphysics book 14 (DIORISIS sentence 3995)

εἰ δὲ τῆς τῶν ἁπάντων ἀρχῆς μὴ ἐνδέχεται πρότερόν τι εἶναι, ἀδύνατον ἂν εἴη τὴν ἀρχὴν ἕτερόν τι οὖσαν εἶναι ἀρχήν, οἷον εἴ τις λέγοι τὸ λευκὸν ἀρχὴν εἶναι οὐχ ᾗ ἕτερον ἀλλʼ ᾗ λευκόν, εἶναι μέντοι καθʼ ὑποκειμένου καὶ ἕτερόν τι ὂν λευκὸν εἶναι:

ei de o o apas arche me endechomai proteros tis eimi adunatos-2 an aio o arche eteros tis eimi eimi arche oios-2 ei tis lego o leukos arche eimi ou os eteros alla os leukos eimi mentoi kata upokeimai kai eteros tis eimi leukos eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 3996)

ἐκεῖνο γὰρ πρότερον ἔσται.


Aristotle, Metaphysics book 14 (DIORISIS sentence 3997)

ἀλλὰ μὴν γίγνεται πάντα ἐξ ἐναντίων ὡς ὑποκειμένου τινός:

alla men-2 gignomai pas ek enantios os-2 upokeimai tis


Aristotle, Metaphysics book 14 (DIORISIS sentence 3998)

ἀνάγκη ἄρα μάλιστα τοῖς ἐναντίοις τοῦθʼ ὑπάρχειν.

anagke ara malista o enantios outos uparcho


Aristotle, Metaphysics book 14 (DIORISIS sentence 3999)

ἀεὶ ἄρα πάντα τὰ ἐναντία καθʼ ὑποκειμένου καὶ οὐθὲν χωριστόν, ἀλλʼ ὥσπερ καὶ φαίνεται οὐθὲν οὐσίᾳ ἐναντίον, καὶ ὁ λόγος μαρτυρεῖ.

aei ara pas o enantios kata upokeimai kai oudeis choristos alla osper-2 kai phaino oudeis ousia enantios kai o logos marturomai


Aristotle, Metaphysics book 14 (DIORISIS sentence 4000)

οὐθὲν ἄρα τῶν ἐναντίων κυρίως ἀρχὴ πάντων ἀλλʼ ἑτέρα.

oudeis ara o enantios kurios-2 arche pas alla eteros


Aristotle, Metaphysics book 14 (DIORISIS sentence 4001)

οἱ δὲ τὸ ἕτερον τῶν ἐναντίων ὕλην ποιοῦσιν, οἱ μὲν τῷ ἑνὶ τὸ ἄνισον, ὡς τοῦτο τὴν τοῦ πλήθους οὖσαν φύσιν, οἱ δὲ τῷ ἑνὶ τὸ πλῆθος ʼγεννῶνται γὰρ οἱ ἀριθμοὶ τοῖς μὲν ἐκ τῆς τοῦ ἀνίσου δυάδος, τοῦ μεγάλου καὶ μικροῦ, τῷ δʼ ἐκ τοῦ πλήθους, ὑπὸ τῆς τοῦ ἑνὸς δὲ οὐσίας ἀμφοῖνʼ:

o de o eteros o enantios ule poieo o men o eis-2 o anisos os-2 outos o o plethos eimi phusis o de o eis-2 o plethos gennao gar e arithmos o men ek o o anisos duas o megas kai mikros o de ek o plethos upo o o eis-2 de ousia ampho


Aristotle, Metaphysics book 14 (DIORISIS sentence 4002)

καὶ γὰρ ὁ τὸ ἄνισον καὶ ἓν λέγων τὰ στοιχεῖα, τὸ δʼ ἄνισον ἐκ μεγάλου καὶ μικροῦ δυάδα, ὡς ἓν ὄντα τὸ ἄνισον καὶ τὸ μέγα καὶ τὸ μικρὸν λέγει, καὶ οὐ διορίζει ὅτι λόγῳ ἀριθμῷ δʼ οὔ.

kai gar o o anisos kai eis-2 lego o stoicheion o de anisos ek megas kai mikros duas os-2 eis-2 eimi o anisos kai o megas kai o mikros lego kai ou diorizo ostis logos arithmos de ou


Aristotle, Metaphysics book 14 (DIORISIS sentence 4003)

ἀλλὰ μὴν καὶ τὰς ἀρχὰς ἃς στοιχεῖα καλοῦσιν οὐ καλῶς ἀποδιδόασιν, οἱ μὲν τὸ μέγα καὶ τὸ μικρὸν λέγοντες μετὰ τοῦ ἑνός, τρία ταῦτα στοιχεῖα τῶν ἀριθμῶν, τὰ μὲν δύο ὕλην τὸ δʼ ἓν τὴν μορφήν, οἱ δὲ τὸ πολὺ καὶ ὀλίγον, ὅτι τὸ μέγα καὶ τὸ μικρὸν μεγέθους οἰκειότερα τὴν φύσιν, οἱ δὲ τὸ καθόλου μᾶλλον ἐπὶ τούτων, τὸ ὑπερέχον καὶ τὸ ὑπερεχόμενον.

alla men-2 kai o arche os stoicheion kaleo ou kalos apodidomi o men o megas kai o mikros lego meta o eis-2 treis outos stoicheion o arithmos o men duo ule o de eis-2 o morphe o de o polus kai oligos ostis o megas kai o mikros megethos oikeios o phusis o de o katholou mallon epi outos o uperecho kai o uperecho


Aristotle, Metaphysics book 14 (DIORISIS sentence 4004)

διαφέρει δὲ τούτων οὐθὲν ὡς εἰπεῖν πρὸς ἔνια τῶν συμβαινόντων, ἀλλὰ πρὸς τὰς λογικὰς μόνον δυσχερείας, ἃς φυλάττονται διὰ τὸ καὶ αὐτοὶ λογικὰς φέρειν τὰς ἀποδείξεις.

diaphero de outos oudeis os-2 eipon pros enioi o sumbaino alla pros o logikos monos duschereia os phulasso dia o kai autos logikos phero o apodeixis


Aristotle, Metaphysics book 14 (DIORISIS sentence 4005)

πλὴν τοῦ αὐτοῦ γε λόγου ἐστὶ τὸ ὑπερέχον καὶ ὑπερεχόμενον εἶναι ἀρχὰς ἀλλὰ μὴ τὸ μέγα καὶ τὸ μικρόν, καὶ τὸν ἀριθμὸν πρότερον τῆς δυάδος ἐκ τῶν στοιχείων:

plen o autos ge logos eimi o uperecho kai uperecho eimi arche alla me o megas kai o mikros kai o arithmos proteros o duas ek o stoicheion


Aristotle, Metaphysics book 14 (DIORISIS sentence 4006)

καθόλου γὰρ ἀμφότερα μᾶλλόν ἐστιν.


Aristotle, Metaphysics book 14 (DIORISIS sentence 4007)

νῦν δὲ τὸ μὲν λέγουσι τὸ δʼ οὐ λέγουσιν.


Aristotle, Metaphysics book 14 (DIORISIS sentence 4008)

οἱ δὲ τὸ ἕτερον καὶ τὸ ἄλλο πρὸς τὸ ἓν ἀντιτιθέασιν, οἱ δὲ πλῆθος καὶ τὸ ἕν.

o de o eteros kai o allos pros o eis-2 antitithemi o de plethos kai o eis-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4009)

εἰ δέ ἐστιν, ὥσπερ βούλονται, τὰ ὄντα ἐξ ἐναντίων, τῷ δὲ ἑνὶ ἢ οὐθὲν ἐναντίον ἢ εἴπερ ἄρα μέλλει, τὸ πλῆθος, τὸ δʼ ἄνισον τῷ ἴσῳ καὶ τὸ ἕτερον τῷ ταὐτῷ καὶ τὸ ἄλλο αὐτῷ, μάλιστα μὲν οἱ τὸ ἓν τῷ πλήθει ἀντιτιθέντες ἔχονταί τινος δόξης, οὐ μὴν οὐδʼ οὗτοι ἱκανῶς:

ei de eimi osper-2 boulomai o eimi ek enantios o de eis-2 ee oudeis enantion ee eiper aros mello o plethos o de anisos o isos kai o eteros o tautos-2 kai o allos autos malista men e o eis-2 o plethos antitithemi echo tis doxa ou men-2 oude outos ikanos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4010)

ἔσται γὰρ τὸ ἓν ὀλίγον:


Aristotle, Metaphysics book 14 (DIORISIS sentence 4011)

πλῆθος μὲν γὰρ ὀλιγότητι τὸ δὲ πολὺ τῷ ὀλίγῳ ἀντίκειται.

plethos men gar oligotes o de polus o oligos antikeimai


Aristotle, Metaphysics book 14 (DIORISIS sentence 4012)

τὸ δʼ ἓν ὅτι μέτρον σημαίνει, φανερόν.

o de eis-2 ostis metron semaino phaneros


Aristotle, Metaphysics book 14 (DIORISIS sentence 4013)

καὶ ἐν παντὶ ἔστι τι ἕτερον ὑποκείμενον, οἷον ἐν ἁρμονίᾳ δίεσις, ἐν δὲ μεγέθει δάκτυλος ἢ ποὺς ἤ τι τοιοῦτον, ἐν δὲ ῥυθμοῖς βάσις ἢ συλλαβή:

kai en pas eimi tis eteros upokeimai oios-2 en armonia diesis en de megethos daktulos ee pous ee tis toioutos en de ruthmos basis ee sullabe


Aristotle, Metaphysics book 14 (DIORISIS sentence 4014)

ὁμοίως δὲ καὶ ἐν βάρει σταθμός τις ὡρισμένος ἐστίν:

omoios de kai en baros stathmos tis orizo eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4015)

καὶ κατὰ πάντων δὲ τὸν αὐτὸν τρόπον, ἐν μὲν τοῖς ποιοῖς ποιόν τι, ἐν δὲ τοῖς ποσοῖς ποσόν τι, καὶ ἀδιαίρετον τὸ μέτρον, τὸ μὲν κατὰ τὸ εἶδος τὸ δὲ πρὸς τὴν αἴσθησιν, ὡς οὐκ ὄντος τινὸς τοῦ ἑνὸς καθʼ αὑτὸ οὐσίας.

kai kata pas de o autos tropos-2 en men o poios-2 poios-2 tis en de o posos-2 posos-2 tis kai adiairetos o metron o men kata o eidos o de pros o aisthesis os-2 ou eimi tis o eis-2 kata eautou ousia


Aristotle, Metaphysics book 14 (DIORISIS sentence 4016)

καὶ τοῦτο κατὰ λόγον:


Aristotle, Metaphysics book 14 (DIORISIS sentence 4017)

σημαίνει γὰρ τὸ ἓν ὅτι μέτρον πλήθους τινός, καὶ ὁ ἀριθμὸς ὅτι πλῆθος μεμετρημένον καὶ πλῆθος μέτρων ʼδιὸ καὶ εὐλόγως οὐκ ἔστι τὸ ἓν ἀριθμός:

semaino gar o eis-2 ostis metron plethos tis kai o arithmos ostis plethos metreo kai plethos metron dio-2 kai eulogos ou eimi o eis-2 arithmos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4018)

οὐδὲ γὰρ τὸ μέτρον μέτρα, ἀλλʼ ἀρχὴ καὶ τὸ μέτρον καὶ τὸ ἕνʼ.

oude gar o metron metron alla arche kai o metron kai o enos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4019)

δεῖ δὲ ἀεὶ τὸ αὐτό τι ὑπάρχειν πᾶσι τὸ μέτρον, οἷον εἰ ἵπποι, τὸ μέτρον ἵππος, καὶ εἰ ἄνθρωποι, ἄνθρωπος.

deomai de aei o autos tis uparcho pas o metron oios-2 ei ippos o metron ippos kai ei anthropos anthropos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4020)

εἰ δʼ ἄνθρωπος καὶ ἵππος καὶ θεός, ζῷον ἴσως, καὶ ὁ ἀριθμὸς αὐτῶν ἔσται ζῷα.

ei de anthropos kai ippos kai theos zoion-2 isos-3 kai o arithmos autos eimi zoion-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4021)

εἰ δʼ ἄνθρωπος καὶ λευκὸν καὶ βαδίζον, ἥκιστα μὲν ἀριθμὸς τούτων διὰ τὸ ταὐτῷ πάντα ὑπάρχειν καὶ ἑνὶ κατὰ ἀριθμόν, ὅμως δὲ γενῶν ἔσται ὁ ἀριθμὸς ὁ τούτων, ἤ τινος ἄλλης τοιαύτης προσηγορίας.

ei de anthropos kai leukos kai badizo ekistos-2 men arithmos outos dia o tautos-2 pas uparcho kai eis-2 kata arithmos omos-5 de genos eimi o arithmos o outos ee tis allos toioutos prosegoria


Aristotle, Metaphysics book 14 (DIORISIS sentence 4022)

οἱ δὲ τὸ ἄνισον ὡς ἕν τι, τὴν δυάδα δὲ ἀόριστον ποιοῦντες μεγάλου καὶ μικροῦ, πόρρω λίαν τῶν δοκούντων καὶ δυνατῶν λέγουσιν:

o de o anisos os-2 eis-2 tis o duas de aoristos poieo megas kai mikros proso lian o dokeo kai dunates-2 lego


Aristotle, Metaphysics book 14 (DIORISIS sentence 4023)

πάθη τε γὰρ ταῦτα καὶ συμβεβηκότα μᾶλλον ἢ ὑποκείμενα τοῖς ἀριθμοῖς καὶ τοῖς μεγέθεσίν ἐστι, τὸ πολὺ καὶ ὀλίγον ἀριθμοῦ, καὶ μέγα καὶ μικρὸν μεγέθους, ὥσπερ ἄρτιον καὶ περιττόν, καὶ λεῖον καὶ τραχύ, καὶ εὐθὺ καὶ καμπύλον:

pathe-2 te gar outos kai sumbaino mallon ee upokeimai o arithmos kai o megethos eimi o polus kai oligos arithmos kai megas kai mikros megethos osper-2 artios kai perissos kai leion-2 kai trachus kai euthus kai kampulos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4024)

ἔτι δὲ πρὸς ταύτῃ τῇ ἁμαρτίᾳ καὶ πρός τι ἀνάγκη εἶναι τὸ μέγα καὶ τὸ μικρὸν καὶ ὅσα τοιαῦτα:

eti de pros outos o amartia kai pros tis anagke eimi o megas kai o mikros kai osos toioutos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4025)

τὸ δὲ πρός τι πάντων ἥκιστα φύσις τις ἢ οὐσία ἐστι, καὶ ὑστέρα τοῦ ποιοῦ καὶ ποσοῦ:

o de pros tis pas ekistos-2 phusis tis ee ousia eimi kai usteros o poieo kai posos-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4026)

καὶ πάθος τι τοῦ ποσοῦ τὸ πρός τι, ὥσπερ ἐλέχθη, ἀλλʼ οὐχ ὕλη, εἴ τι ἕτερον καὶ τῷ ὅλως κοινῷ πρός τι καὶ τοῖς μέρεσιν αὐτοῦ καὶ εἴδεσιν.

kai pathos tis o posos-2 o pros tis osper-2 lego alla ou ule ei tis eteros kai o olos koinos pros tis kai o meros-2 autos kai eidos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4027)

οὐθὲν γάρ ἐστιν οὔτε μέγα οὔτε μικρόν, οὔτε πολὺ οὔτε ὀλίγον, οὔτε ὅλως πρός τι, ὃ οὐχ ἕτερόν τι ὂν πολὺ ἢ ὀλίγον ἢ μέγα ἢ μικρὸν ἢ πρός τί ἐστιν.

oudeis gar eimi oute megas oute mikros oute polus oute oligos oute olos pros tis os ou eteros tis eimi polus ee oligos ee megas ee mikros ee pros tis-2 eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4028)

σημεῖον δʼ ὅτι ἥκιστα οὐσί τις καὶ ὄν τι τὸ πρός τι τὸ μόνου μὴ εἶναι γένεσιν αὐτοῦ μηδὲ φθορὰν μηδὲ κίνησιν ὥσπερ κατὰ τὸ ποσὸν αὔξησις καὶ φθίσις, κατὰ τὸ ποιὸν ἀλλοίωσις, κατὰ τόπον φορά, κατὰ τὴν οὐσίαν ἡ ἁπλῆ γένεσις καὶ φθορά, ἀλλʼ οὐ κατὰ τὸ πρός τι:

semeion de ostis ekistos-2 onta tis kai eimi tis o pros tis o monos me eimi genesis autos mede phthora mede kinesis osper-2 kata o posos-2 auxesis kai phthisis kata o poios-2 alloiosis kata topos phora kata o ousia o aploos genesis kai phthora alla ou kata o pros tis


Aristotle, Metaphysics book 14 (DIORISIS sentence 4029)

ἄνευ γὰρ τοῦ κινηθῆναι ὁτὲ μὲν μεῖζον ὁτὲ δὲ ἔλαττον ἢ ἴσον ἔσται θατέρου κινηθέντος κατὰ τὸ ποσόν.

aneu gar o kineo ote men megas ote de elasson ee isos eimi eteros kineo kata o posos-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4030)

ἀνάγκη τε ἑκάστου ὕλην εἶναι τὸ δυνάμει τοιοῦτον, ὥστε καὶ οὐσίας:

anagke te ekastos ule eimi o dunamis toioutos oste-2 kai ousia


Aristotle, Metaphysics book 14 (DIORISIS sentence 4031)

τὸ δὲ πρός τι οὔτε δυνάμει οὐσία οὔτε ἐνεργείᾳ.

o de pros tis oute dunamis ousia oute energeia


Aristotle, Metaphysics book 14 (DIORISIS sentence 4032)

ἄτοπον οὖν, μᾶλλον δὲ ἀδύνατον, τὸ οὐσίας μὴ οὐσίαν ποιεῖν στοιχεῖον καὶ πρότερον:

atopos oun mallon de adunatos-2 o ousia me ousia poieo stoicheion kai proteros


Aristotle, Metaphysics book 14 (DIORISIS sentence 4033)

ὕστερον γὰρ πᾶσαι αἱ κατηγορίαι.


Aristotle, Metaphysics book 14 (DIORISIS sentence 4034)

ἔτι δὲ τὰ στοιχεῖα οὐ κατηγορεῖται καθʼ ὧν στοιχεῖα, τὸ δὲ πολὺ καὶ ὀλίγον καὶ χωρὶς καὶ ἅμα κατηγορεῖται ἀριθμοῦ, καὶ τὸ μακρὸν καὶ τὸ βραχὺ γραμμῆς, καὶ ἐπίπεδόν ἐστι καὶ πλατὺ καὶ στενόν.

eti de o stoicheion ou kategoreo kata os stoicheion o de polus kai oligos kai choris kai ama kategoreo arithmos kai o makros kai o brachus gramme kai epipedos eimi kai platus kai stenos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4035)

εἰ δὲ δὴ καὶ ἔστι τι πλῆθος οὗ τὸ μὲν ἀεί, τὸ ὀλίγον, οἷον ἡ δυάς ʼεἰ γὰρ πολύ, τὸ ἓν ἂν ὀλίγον εἴἠ, κἂν πολὺ ἁπλῶς εἴη, οἷον ἡ δεκὰς πολύ, εἰ ταύτης μή ἐστι πλεῖον, ἢ τὰ μύρια.

ei de de-2 kai eimi tis plethos e o men aei o oligos oios-2 o duas ei gar polus o eis-2 an oligos aio kan-2 polus aplos-2 aio oios-2 o dekas polus ei outos me eimi pleos ee o murios


Aristotle, Metaphysics book 14 (DIORISIS sentence 4036)

πῶς οὖν ἔσται οὕτως ἐξ ὀλίγου καὶ πολλοῦ ὁ ἀριθμός;

pos-2 oun eimi outos-2 ek oligos kai polus o arithmos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4037)

ἢ γὰρ ἄμφω ἔδει κατηγορεῖσθαι ἢ μηδέτερον:


Aristotle, Metaphysics book 14 (DIORISIS sentence 4038)

νῦν δὲ τὸ ἕτερον μόνον κατηγορεῖται.


Aristotle, Metaphysics book 14 (DIORISIS sentence 4039)

ἁπλῶς δὲ δεῖ σκοπεῖν, ἆρα δυνατὸν τὰ ἀΐδια ἐκ στοιχείων συγκεῖσθαι;

aplos-2 de deomai skopao ara-3 dunatos o aidios-2 ek stoicheion sugkeimai


Aristotle, Metaphysics book 14 (DIORISIS sentence 4040)

ὕλην γὰρ ἕξει:


Aristotle, Metaphysics book 14 (DIORISIS sentence 4041)

σύνθετον γὰρ πᾶν τὸ ἐκ στοιχείων.


Aristotle, Metaphysics book 14 (DIORISIS sentence 4042)

εἰ τοίνυν ἀνάγκη, ἐξ οὗ ἐστιν, εἰ καὶ ἀεὶ ἔστι, κἄν, εἰ ἐγένετο, ἐκ τούτου γίγνεσθαι, γίγνεται δὲ πᾶν ἐκ τοῦ δυνάμει ὄντος τοῦτο ὃ γίγνεται ʼοὐ γὰρ ἂν ἐγένετο ἐκ τοῦ ἀδυνάτου οὐδὲ ἦνʼ, τὸ δὲ δυνατὸν ἐνδέχεται καὶ ἐνεργεῖν καὶ μή, εἰ καὶ ὅτι μάλιστα ἀεὶ ἔστιν ὁ ἀριθμὸς ἢ ὁτιοῦν ἄλλο ὕλην ἔχον, ἐνδέχοιτʼ ἂν μὴ εἶναι, ὥσπερ καὶ τὸ μίαν ἡμέραν ἔχον καὶ τὸ ὁποσαοῦν ἔτη:

ei toinun anagke ek e eimi ei kai aei eimi kan-2 ei gignomai ek outos gignomai gignomai de pas ek o dunamis eimi outos os gignomai ou gar an gignomai ek o adunatos-2 oude eimi o de dunatos endechomai kai energeo kai me ei kai ostis malista aei eimi o arithmos ee otioun allos ule echo endechomai an me eimi osper-2 kai o eis-2 emera echo kai o etes


Aristotle, Metaphysics book 14 (DIORISIS sentence 4043)

εἰ δʼ οὕτω, καὶ τὸ τοσοῦτον χρόνον οὗ μὴ ἔστι πέρας.

ei de outos-2 kai o tosoutos chronos e me eimi peras


Aristotle, Metaphysics book 14 (DIORISIS sentence 4044)

οὐκ ἂν τοίνυν εἴη ἀΐδια, εἴπερ μὴ ἀΐδιον τὸ ἐνδεχόμενον μὴ εἶναι, καθάπερ ἐν ἄλλοις λόγοις συνέβη πραγματευθῆναι.

ou an toinun aio aidios-2 eiper me aidios-2 o endechomai me eimi katha en allos logos sumbaino pragmateuomai


Aristotle, Metaphysics book 14 (DIORISIS sentence 4045)

εἰ δέ ἐστι τὸ λεγόμενον νῦν ἀληθὲς καθόλου, ὅτι οὐδεμία ἐστὶν ἀΐδιος οὐσία ἐὰν μὴ ᾖ ἐνέργεια, τὰ δὲ στοιχεῖα ὕλη τῆς οὐσίας, οὐδεμιᾶς ἂν εἴη ἀϊδίου οὐσίας στοιχεῖα ἐξ ὧν ἐστιν ἐνυπαρχόντων.

ei de eimi o lego nun alethes katholou ostis oudeis eimi aidios-2 ousia ean me eimi energeia o de stoicheion ule o ousia oudeis an aio aidios-2 ousia stoicheion ek os eimi enuparcho


Aristotle, Metaphysics book 14 (DIORISIS sentence 4046)

εἰσὶ δέ τινες οἳ δυάδα μὲν ἀόριστον ποιοῦσι τὸ μετὰ τοῦ ἑνὸς στοιχεῖον, τὸ δʼ ἄνισον δυσχεραίνουσιν εὐλόγως διὰ τὰ συμβαίνοντα ἀδύνατα:

eimi de tis e duas men aoristos poieo o meta o eis-2 stoicheion o de anisos duscheraino eulogos dia o sumbaino adunatos-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4047)

οἷς τοσαῦτα μόνον ἀφῄρηται τῶν δυσχερῶν ὅσα διὰ τὸ ποιεῖν τὸ ἄνισον καὶ τὸ πρός τι στοιχεῖον ἀναγκαῖα συμβαίνει τοῖς λέγουσιν:

os tosoutos monos aphaireo o duscheres osos dia o poieo o anisos kai o pros tis stoicheion anagkaios sumbaino o lego


Aristotle, Metaphysics book 14 (DIORISIS sentence 4048)

ὅσα δὲ χωρὶς ταύτης τῆς δόξης, ταῦτα κἀκείνοις ὑπάρχειν ἀναγκαῖον, ἐάν τε τὸν εἰδητικὸν ἀριθμὸν ἐξ αὐτῶν ποιῶσιν ἐάν τε τὸν μαθηματικόν.

osos de choris outos o doxa outos ekeinos uparcho anagkaios ean te o eidetikos-2 arithmos ek autos poieo ean te o mathematikos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4049)

πολλὰ μὲν οὖν τὰ αἴτια τῆς ἐπὶ ταύτας τὰς αἰτίας ἐκτροπῆς, μάλιστα δὲ τὸ ἀπορῆσαι ἀρχαϊκῶς.

polus men oun o aitios o epi outos o aitia ektrope malista de o aporeo1 archaikos-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4050)

ἔδοξε γὰρ αὐτοῖς πάντʼ ἔσεσθαι ἓν τὰ ὄντα, αὐτὸ τὸ ὄν, εἰ μή τις λύσει καὶ ὁμόσε βαδιεῖται τῷ Παρμενίδου λόγῳ οὐ γὰρ μήποτε τοῦτο δαμῇ, εἶναι μὴ ἐόντα, ἀλλʼ ἀνάγκη εἶναι τὸ μὴ ὂν δεῖξαι ὅτι ἔστιν:

dokeo gar autos pas eimi eis-2 o eimi autos o eimi ei me tis luo kai omose badizo o parmenides logos ou gar mepote outos damao eimi me eimi alla anagke eimi o me eimi deiknumi ostis eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4051)

οὕτω γάρ, ἐκ τοῦ ὄντος καὶ ἄλλου τινός, τὰ ὄντα ἔσεσθαι, εἰ πολλά ἐστιν.

outos-2 gar ek o eimi kai allos tis o eimi eimi ei polus eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4052)

καίτοι πρῶτον μέν, εἰ τὸ ὂν πολλαχῶς ʼτὸ μὲν γὰρ οὐσίαν σημαίνει, τὸ δʼ ὅτι ποιόν, τὸ δʼ ὅτι ποσόν, καὶ τὰς ἄλλας δὴ κατηγορίαςʼ, ποῖον οὖν τὰ ὄντα πάντα ἕν, εἰ μὴ τὸ μὴ ὂν ἔσται;

kaitoi-2 proteros men ei o eimi pollachos o men gar ousia semaino o de ostis poios-2 o de ostis posos-2 kai o allos de-2 kategoria poios oun o eimi pas eis-2 ei me o me eimi eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4053)

πότερον αἱ οὐσίαι, ἢ τὰ πάθη καὶ τὰ ἄλλα δὴ ὁμοίως, ἢ πάντα, καὶ ἔσται ἓν τὸ τόδε καὶ τὸ τοιόνδε καὶ τὸ τοσόνδε καὶ τὰ ἄλλα ὅσα ἕν τι σημαίνει;

poteros o ousia ee o pathe-2 kai o allos de-2 omoios ee pas kai eimi eis-2 o ode kai o toiosde kai o tososde kai o allos osos eis-2 tis semaino


Aristotle, Metaphysics book 14 (DIORISIS sentence 4054)

ἀλλʼ ἄτοπον, μᾶλλον δὲ ἀδύνατον, τὸ μίαν φύσιν τινὰ γενομένην αἰτίαν εἶναι τοῦ τοῦ ὄντος τὸ μὲν τόδε εἶναι τὸ δὲ τοιόνδε τὸ δὲ τοσόνδε τὸ δὲ πού.

alla atopos mallon de adunatos-2 o eis-2 phusis tis gignomai aitia eimi o o eimi o men ode eimi o de toiosde o de tososde o de pou


Aristotle, Metaphysics book 14 (DIORISIS sentence 4055)

ἔπειτα ἐκ ποίου μὴ ὄντος καὶ ὄντος τὰ ὄντα;


Aristotle, Metaphysics book 14 (DIORISIS sentence 4056)

πολλαχῶς γὰρ καὶ τὸ μὴ ὄν, ἐπειδὴ καὶ τὸ ὄν:

pollachos gar kai o me eimi epei kai o eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4057)

καὶ τὸ μὲν μὴ ἄνθρωπον εἶναι σημαίνει τὸ μὴ εἶναι τοδί, τὸ δὲ μὴ εὐθὺ τὸ μὴ εἶναι τοιονδί, τὸ δὲ μὴ τρίπηχυ τὸ μὴ εἶναι τοσονδί.

kai o men me anthropos eimi semaino o me eimi ode o de me euthus o me eimi toiosde o de me tripechus o me eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4058)

ἐκ ποίου οὖν ὄντος καὶ μὴ ὄντος πολλὰ τὰ ὄντα;

ek poios oun eimi kai me eimi polus o eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4059)

βούλεται μὲν δὴ τὸ ψεῦδος καὶ ταύτην τὴν φύσιν λέγειν τὸ οὐκ ὄν, ἐξ οὗ καὶ τοῦ ὄντος πολλὰ τὰ ὄντα, διὸ καὶ ἐλέγετο ὅτι δεῖ ψεῦδός τι ὑποθέσθαι, ὥσπερ καὶ οἱ γεωμέτραι τὸ ποδιαίαν εἶναι τὴν μὴ ποδιαίαν:

boulomai men de-2 o pseudos kai outos o phusis lego o ou eimi ek e kai o eimi polus o eimi dio-2 kai lego ostis deomai pseudos tis upotithemi osper-2 kai o geometres o podiaios eimi o me podiaios


Aristotle, Metaphysics book 14 (DIORISIS sentence 4060)

ἀδύνατον δὲ ταῦθʼ οὕτως ἔχειν, οὔτε γὰρ οἱ γεωμέτραι ψεῦδος οὐθὲν ὑποτίθενται ʼοὐ γὰρ ἐν τῷ συλλογισμῷ ἡ πρότασιςʼ, οὔτε ἐκ τοῦ οὕτω μὴ ὄντος τὰ ὄντα γίγνεται οὐδὲ φθείρεται.

adunatos-2 de outos outos-2 echo oute gar o geometres pseudos oudeis upotithemi ou gar en o sullogismos o protasis oute ek o outos-2 me eimi o eimi gignomai oude phtheiro


Aristotle, Metaphysics book 14 (DIORISIS sentence 4061)

ἀλλʼ ἐπειδὴ τὸ μὲν κατὰ τὰς πτώσεις μὴ ὂν ἰσαχῶς ταῖς κατηγορίαις λέγεται, παρὰ τοῦτο δὲ τὸ ὡς ψεῦδος λέγεται μὴ ὂν καὶ τὸ κατὰ δύναμιν, ἐκ τούτου ἡ γένεσίς ἐστιν, ἐκ τοῦ μὴ ἀνθρώπου δυνάμει δὲ ἀνθρώπου ἄνθρωπος, καὶ ἐκ τοῦ μὴ λευκοῦ δυνάμει δὲ λευκοῦ λευκόν, ὁμοίως ἐάν τε ἕν τι γίγνηται ἐάν τε πολλά.

alla epei o men kata o ptosis me eimi o kategoria lego para outos de o os-2 pseudos lego me eimi kai o kata dunamis ek outos o genesis eimi ek o me anthropos dunamis de anthropos anthropos kai ek o me leukos dunamis de leukos leukos omoios ean te eis-2 tis gignomai ean te polus


Aristotle, Metaphysics book 14 (DIORISIS sentence 4062)

φαίνεται δὲ ἡ ζήτησις πῶς πολλὰ τὸ ὂν τὸ κατὰ τὰς οὐσίας λεγόμενον:

phaino de o zetesis pos-2 polus o eimi o kata o ousia lego


Aristotle, Metaphysics book 14 (DIORISIS sentence 4063)

ἀριθμοὶ γὰρ καὶ μήκη καὶ σώματα τὰ γεννώμενά ἐστιν.

arithmos gar kai mekos kai soma o gennao eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4064)

ἄτοπον δὴ τὸ ὅπως μὲν πολλὰ τὸ ὂν τὸ τί ἐστι ζητῆσαι, πῶς δὲ ἢ ποιὰ ἢ ποσά, μή.

atopos de-2 o opos men polus o eimi o tis-2 eimi zeteo pos-2 de ee poios-2 ee posos-2 me


Aristotle, Metaphysics book 14 (DIORISIS sentence 4065)

οὐ γὰρ δὴ ἡ δυὰς ἡ ἀόριστος αἰτία οὐδὲ τὸ μέγα καὶ τὸ μικρὸν τοῦ δύο λευκὰ ἢ πολλὰ εἶναι χρώματα ἢ χυμοὺς ἢ σχήματα:

ou gar de-2 o duas o aoristos aitia oude o megas kai o mikros o duo leukas ee polus eimi chroma ee chumos ee schema-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4066)

ἀριθμοὶ γὰρ ἂν καὶ ταῦτα ἦσαν καὶ μονάδες.

arithmos gar an kai outos eimi kai monas


Aristotle, Metaphysics book 14 (DIORISIS sentence 4067)

ἀλλὰ μὴν εἴ γε ταῦτʼ ἐπῆλθον, εἶδον ἂν τὸ αἴτιον καὶ τὸ ἐν ἐκείνοις:

alla men-2 ei ge outos eperchomai eidon an o aitios kai o en ekeinos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4068)

τὸ γὰρ αὐτὸ καὶ τὸ ἀνάλογον αἴτιον.


Aristotle, Metaphysics book 14 (DIORISIS sentence 4069)

αὕτη γὰρ ἡ παρέκβασις αἰτία καὶ τοῦ τὸ ἀντικείμενον ζητοῦντας τῷ ὄντι καὶ τῷ ἑνί, ἐξ οὗ καὶ τούτων τὰ ὄντα, τὸ πρός τι καὶ τὸ ἄνισον ὑποθεῖναι, ὃ οὔτʼ ἐναντίον οὔτʼ ἀπόφασις ἐκείνων, μία τε φύσις τῶν ὄντων ὥσπερ καὶ τὸ τί καὶ τὸ ποῖον.

outos gar o parekbasis aitia kai o o antikeimai zeteo o eimi kai o eis-2 ek e kai outos o eimi o pros tis kai o anisos upotithemi os oute enantion oute apophasis1 ekeinos eis-2 te phusis o eimi osper-2 kai o tis-2 kai o poios


Aristotle, Metaphysics book 14 (DIORISIS sentence 4070)

καὶ ζητεῖν ἔδει καὶ τοῦτο, πῶς πολλὰ τὰ πρός τι ἀλλʼ οὐχ ἕν:

kai zeteo deo kai outos pos-2 polus o pros tis alla ou eis-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4071)

νῦν δὲ πῶς μὲν πολλαὶ μονάδες παρὰ τὸ πρῶτον ἓν ζητεῖται, πῶς δὲ πολλὰ ἄνισα παρὰ τὸ ἄνισον οὐκέτι.

nun de pos-2 men polus monas para o proteros eis-2 zeteo pos-2 de polus anisos para o anisos ouketi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4072)

καίτοι χρῶνται καὶ λέγουσι μέγα μικρόν, πολὺ ὀλίγον, ἐξ ὧν οἱ ἀριθμοί, μακρὸν βραχύ, ἐξ ὧν τὸ μῆκος, πλατὺ στενόν, ἐξ ὧν τὸ ἐπίπεδον, βαθὺ ταπεινόν, ἐξ ὧν οἱ ὄγκοι:

kaitoi-2 chraomai kai lego megas mikros polus oligos ek os o arithmos makros brachus ek os o mekos platus stenos ek os o epipedos bathus tapeinos ek os o ogkos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4073)

καὶ ἔτι δὴ πλείω εἴδη λέγουσι τοῦ πρός τι:

kai eti de-2 pleos eidos lego o pros tis


Aristotle, Metaphysics book 14 (DIORISIS sentence 4074)

τούτοις δὴ τί αἴτιον τοῦ πολλὰ εἶναι;


Aristotle, Metaphysics book 14 (DIORISIS sentence 4075)

ἀνάγκη μὲν οὖν, ὥσπερ λέγομεν, ὑποθεῖναι τὸ δυνάμει ὂν ἑκάστῳ ʼτοῦτο δὲ προσαπεφήνατο ὁ ταῦτα λέγων, τί τὸ δυνάμει τόδε καὶ οὐσία, μὴ ὂν δὲ καθʼ αὑτό, ὅτι τὸ πρός τι, ὥσπερ εἰ εἶπε τὸ ποιόν, ὃ οὔτε δυνάμει ἐστὶ τὸ ἓν ἢ τὸ ὂν οὔτε ἀπόφασις τοῦ ἑνὸς οὐδὲ τοῦ ὄντος ἀλλʼ ἕν τι τῶν ὄντωνʼ, πολύ τε μᾶλλον, ὥσπερ ἐλέχθη, εἰ ἐζήτει πῶς πολλὰ τὰ ὄντα, μὴ τὰ ἐν τῇ αὐτῇ κατηγορίᾳ ζητεῖν, πῶς πολλαὶ οὐσίαι ἢ πολλὰ ποιά, ἀλλὰ πῶς πολλὰ τὰ ὄντα:

anagke men oun osper-2 lego upotithemi o dunamis eimi ekastos outos de prosapophaino o outos lego tis-2 o dunamis ode kai ousia me eimi de kata eautou ostis o pros tis osper-2 ei eipon o poios-2 os oute dunamis eimi o eis-2 ee o eimi oute apophasis1 o eis-2 oude o eimi alla eis-2 tis o eimi polus te mallon osper-2 lego ei zeteo pos-2 polus o eimi me o en o autos kategoria zeteo pos-2 polus ousia ee polus poios-2 alla pos-2 polus o eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4076)

τὰ μὲν γὰρ οὐσίαι τὰ δὲ πάθη τὰ δὲ πρός τι.

o men gar ousia o de pathe-2 o de pros tis


Aristotle, Metaphysics book 14 (DIORISIS sentence 4077)

ἐπὶ μὲν οὖν τῶν ἄλλων κατηγοριῶν ἔχει τινὰ καὶ ἄλλην ἐπίστασιν πῶς πολλά ʼδιὰ γὰρ τὸ μὴ χωριστὰ εἶναι τῷ τὸ ὑποκείμενον πολλὰ γίγνεσθαι καὶ εἶναι ποιά τε πολλὰ καὶ ποσά:

epi men oun o allos kategoria echo tis kai allos epistasis pos-2 polus dia gar o me choristos eimi o o upokeimai polus gignomai kai eimi poios-2 te polus kai posos-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4078)

καίτοι δεῖ γέ τινα εἶναι ὕλην ἑκάστῳ γένει, πλὴν χωριστὴν ἀδύνατον τῶν οὐσιῶνʼ:

kaitoi-2 deomai ge tis eimi ule ekastos genos plen choristes adunatos-2 o ousia


Aristotle, Metaphysics book 14 (DIORISIS sentence 4079)

ἀλλʼ ἐπὶ τῶν τόδε τι ἔχει τινὰ λόγον πῶς πολλὰ τὸ τόδε τι, εἰ μή τι ἔσται καὶ τόδε τι καὶ φύσις τις τοιαύτη:

alla epi o ode tis echo tis logos pos-2 polus o ode tis ei me tis eimi kai ode tis kai phusis tis toioutos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4080)

αὕτη δέ ἐστιν ἐκεῖθεν μᾶλλον ἡ ἀπορία, πῶς πολλαὶ ἐνεργείᾳ οὐσίαι ἀλλʼ οὐ μία.

outos de eimi ekeithen mallon o aporia pos-2 polus energeia ousia alla ou eis-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4081)

ἀλλὰ μὴν καὶ εἰ μὴ ταὐτόν ἐστι τὸ τόδε καὶ τὸ ποσόν, οὐ λέγεται πῶς καὶ διὰ τί πολλὰ τὰ ὄντα, ἀλλὰ πῶς ποσὰ πολλά.

alla men-2 kai ei me tautos-2 eimi o ode kai o posos-2 ou lego pos-2 kai dia tis-2 polus o eimi alla pos-2 posos-2 polus


Aristotle, Metaphysics book 14 (DIORISIS sentence 4082)

ὁ γὰρ ἀριθμὸς πᾶς ποσόν τι σημαίνει, καὶ ἡ μονάς, εἰ μὴ μέτρον καὶ τὸ κατὰ τὸ ποσὸν ἀδιαίρετον.

o gar arithmos pas posos-2 tis semaino kai o monas ei me metron kai o kata o posos-2 adiairetos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4083)

εἰ μὲν οὖν ἕτερον τὸ ποσὸν καὶ τὸ τί ἐστιν, οὐ λέγεται τὸ τί ἐστιν ἐκ τίνος οὐδὲ πῶς πολλά:

ei men oun eteros o posos-2 kai o tis-2 eimi ou lego o tis-2 eimi ek tis-2 oude pos-2 polus


Aristotle, Metaphysics book 14 (DIORISIS sentence 4084)

εἰ δὲ ταὐτό, πολλὰς ὑπομένει ὁ λέγων ἐναντιώσεις.

ei de autos polus upomeno o lego enantiosis-2


Aristotle, Metaphysics book 14 (DIORISIS sentence 4085)

ἐπιστήσειε δʼ ἄν τις τὴν σκέψιν καὶ περὶ τῶν ἀριθμῶν πόθεν δεῖ λαβεῖν τὴν πίστιν ὡς εἰσίν.

ephistemi de an tis o skepsis kai peri o arithmos pothen-2 deomai lambano o pistis os-2 eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4086)

τῷ μὲν γὰρ ἰδέας τιθεμένῳ παρέχονταί τινʼ αἰτίαν τοῖς οὖσιν, εἴπερ ἕκαστος τῶν ἀριθμῶν ἰδέα τις ἡ δʼ ἰδέα τοῖς ἄλλοις αἰτία τοῦ εἶναι ὃν δή ποτε τρόπον ʼἔστω γὰρ ὑποκείμενον αὐτοῖς τοῦτὀ:

o men gar idea tithemi parecho tis aitia o eimi eiper ekastos o arithmos idea tis o de idea o allos aitia o eimi os de-2 pote tropos-2 eimi gar upokeimai autos outos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4087)

τῷ δὲ τοῦτον μὲν τὸν τρόπον οὐκ οἰομένῳ διὰ τὸ τὰς ἐνούσας δυσχερείας ὁρᾶν περὶ τὰς ἰδέας ὥστε διά γε ταῦτα μὴ ποιεῖν ἀριθμούς, ποιοῦντι δὲ ἀριθμὸν τὸν μαθηματικόν, πόθεν τε χρὴ πιστεῦσαι ὡς ἔστι τοιοῦτος ἀριθμός, καὶ τί τοῖς ἄλλοις χρήσιμος;

o de outos men o tropos-2 ou oiomai dia o o eneimi duschereia orao peri o idea oste-2 dia ge outos me poieo arithmos poieo de arithmos o mathematikos pothen-2 te chre pisteuo os-2 eimi toioutos arithmos kai tis-2 o allos chresimos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4088)

οὐθενὸς γὰρ οὔτε φησὶν ὁ λέγων αὐτὸν εἶναι, ἀλλʼ ὡς αὐτήν τινα λέγει καθʼ αὑτὴν φύσιν οὖσαν, οὔτε φαίνεται ὢν αἴτιος:

oudeis gar oute phemi o lego autos eimi alla os-2 autos tis lego kata eautou phusis eimi oute phaino eimi aitios


Aristotle, Metaphysics book 14 (DIORISIS sentence 4089)

τὰ γὰρ θεωρήματα τῶν ἀριθμητικῶν πάντα καὶ κατὰ τῶν αἰσθητῶν ὑπάρξει, καθάπερ ἐλέχθη.

o gar theorema o arithmetikos pas kai kata o aisthetes uparcho katha lego


Aristotle, Metaphysics book 14 (DIORISIS sentence 4090)

οἱ μὲν οὖν τιθέμενοι τὰς ἰδέας εἶναι, καὶ ἀριθμοὺς αὐτὰς εἶναι, τῷ κατὰ τὴν ἔκθεσιν ἑκάστου παρὰ τὰ πολλὰ λαμβάνειν ἕν τι ἕκαστον πειρῶνταί γε λέγειν πως διὰ τί ἔστιν, οὐ μὴν ἀλλὰ ἐπεὶ οὔτε ἀναγκαῖα οὔτε δυνατὰ ταῦτα, οὐδὲ τὸν ἀριθμὸν διά γε ταῦτα εἶναι λεκτέον:

o men oun tithemi o idea eimi kai arithmos autos eimi o kata o ekthesis ekastos para o polus lambano eis-2 tis ekastos peirao ge lego pos dia tis-2 eimi ou men-2 alla epei oute anagkaios oute dunatos outos oude o arithmos dia ge outos eimi lekteos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4091)

οἱ δὲ Πυθαγόρειοι διὰ τὸ ὁρᾶν πολλὰ τῶν ἀριθμῶν πάθη ὑπάρχοντα τοῖς αἰσθητοῖς σώμασιν, εἶναι μὲν ἀριθμοὺς ἐποίησαν τὰ ὄντα, οὐ χωριστοὺς δέ, ἀλλʼ ἐξ ἀριθμῶν τὰ ὄντα:

o de puthagoreios dia o orao polus o arithmos pathe-2 uparcho o aisthetos soma eimi men arithmos poieo o eimi ou choristos de alla ek arithmos o eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4092)

διὰ τί δέ;


Aristotle, Metaphysics book 14 (DIORISIS sentence 4093)

ὅτι τὰ πάθη τὰ τῶν ἀριθμῶν ἐν ἁρμονίᾳ ὑπάρχει καὶ ἐν τῷ οὐρανῷ καὶ ἐν πολλοῖς ἄλλοις.

ostis o pathe-2 o o arithmos en armonia uparcho kai en o ouranos kai en polus allos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4094)

τοῖς δὲ τὸν μαθηματικὸν μόνον λέγουσιν εἶναι ἀριθμὸν οὐθὲν τοιοῦτον ἐνδέχεται λέγειν κατὰ τὰς ὑποθέσεις, ἀλλʼ ὅτι οὐκ ἔσονται αὐτῶν αἱ ἐπιστῆμαι ἐλέγετο.

o de o mathematikos monos lego eimi arithmos oudeis toioutos endechomai lego kata o upothesis alla ostis ou eimi autos o episteme lego


Aristotle, Metaphysics book 14 (DIORISIS sentence 4095)

ἡμεῖς δέ φαμεν εἶναι, καθάπερ εἴπομεν πρότερον.


Aristotle, Metaphysics book 14 (DIORISIS sentence 4096)

καὶ δῆλον ὅτι οὐ κεχώρισται τὰ μαθηματικά:

kai delos-3 ostis ou chorizo o mathematikos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4097)

οὐ γὰρ ἂν κεχωρισμένων τὰ πάθη ὑπῆρχεν ἐν τοῖς σώμασιν.

ou gar an chorizo o pathe-2 uparcho en o soma


Aristotle, Metaphysics book 14 (DIORISIS sentence 4098)

οἱ μὲν οὖν Πυθαγόρειοι κατὰ μὲν τὸ τοιοῦτον οὐθενὶ ἔνοχοί εἰσιν, κατὰ μέντοι τὸ ποιεῖν ἐξ ἀριθμῶν τὰ φυσικὰ σώματα, ἐκ μὴ ἐχόντων βάρος μηδὲ κουφότητα ἔχοντα κουφότητα καὶ βάρος, ἐοίκασι περὶ ἄλλου οὐρανοῦ λέγειν καὶ σωμάτων ἀλλʼ οὐ τῶν αἰσθητῶν:

o men oun puthagoreios kata men o toioutos oudeis enochos eimi kata mentoi o poieo ek arithmos o phusikos soma ek me echo baros mede kouphotes echo kouphotes kai baros eoika peri allos ouranos lego kai soma alla ou o aisthetes


Aristotle, Metaphysics book 14 (DIORISIS sentence 4099)

οἱ δὲ χωριστὸν ποιοῦντες, ὅτι ἐπὶ τῶν αἰσθητῶν οὐκ ἔσται τὰ ἀξιώματα, ἀληθῆ δὲ τὰ λεγόμενα καὶ σαίνει τὴν ψυχήν, εἶναί τε ὑπολαμβάνουσι καὶ χωριστὰ εἶναι:

o de choristos poieo ostis epi o aisthetes ou eimi o axioma alethes de o lego kai saino o psyche eimi te upolambano kai choristos eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4100)

ὁμοίως δὲ καὶ τὰ μεγέθη τὰ μαθηματικά.


Aristotle, Metaphysics book 14 (DIORISIS sentence 4101)

δῆλον οὖν ὅτι καὶ ὁ ἐναντιούμενος λόγος τἀναντία ἐρεῖ, καὶ ὃ ἄρτι ἠπορήθη λυτέον τοῖς οὕτω λέγουσι, διὰ τί οὐδαμῶς ἐν τοῖς αἰσθητοῖς ὑπαρχόντων τὰ πάθη ὑπάρχει αὐτῶν ἐν τοῖς αἰσθητοῖς.

delos-3 oun ostis kai o enantioomai logos enantios eraomai kai os arti aporeo1 luteon o outos-2 lego dia tis-2 oudamos en o aisthetos uparcho o pathe-2 uparcho autos en o aisthetos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4102)

εἰσὶ δέ τινες οἳ ἐκ τοῦ πέρατα εἶναι καὶ ἔσχατα τὴν στιγμὴν μὲν γραμμῆς, ταύτην δʼ ἐπιπέδου, τοῦτο δὲ τοῦ στερεοῦ, οἴονται εἶναι ἀνάγκην τοιαύτας φύσεις εἶναι.

eimi de tis e ek o peras eimi kai schetho o stigme men gramme outos de epipedos outos de o stereos oiomai eimi anagke toioutos phusis eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4103)

δεῖ δὴ καὶ τοῦτον ὁρᾶν τὸν λόγον, μὴ λίαν ᾖ μαλακός.

deomai de-2 kai outos orao o logos me lian eimi malakos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4104)

οὔτε γὰρ οὐσίαι εἰσὶ τὰ ἔσχατα ἀλλὰ μᾶλλον πάντα ταῦτα πέρατα ʼἑʼπεὶ καὶ τῆς βαδίσεως καὶ ὅλως κινήσεως ἔστι τι πέρας:

oute gar ousia eimi o schetho alla mallon pas outos peras kai o badisis kai olos kinesis eimi tis peras


Aristotle, Metaphysics book 14 (DIORISIS sentence 4105)

τοῦτʼ οὖν ἔσται τόδε τι καὶ οὐσία τις:


Aristotle, Metaphysics book 14 (DIORISIS sentence 4106)

ἀλλʼ ἄτοπονʼ:


Aristotle, Metaphysics book 14 (DIORISIS sentence 4107)

οὐ μὴν ἀλλὰ εἰ καὶ εἰσί, τῶνδε τῶν αἰσθητῶν ἔσονται πάντα ʼἐπὶ τούτων γὰρ ὁ λόγος εἴρηκενʼ:

ou men-2 alla ei kai eimi ode o aisthetes eimi pas epi outos gar o logos ero


Aristotle, Metaphysics book 14 (DIORISIS sentence 4108)

διὰ τί οὖν χωριστὰ ἔσται;


Aristotle, Metaphysics book 14 (DIORISIS sentence 4109)

ἔτι δὲ ἐπιζητήσειεν ἄν τις μὴ λίαν εὐχερὴς ὢν περὶ μὲν τοῦ ἀριθμοῦ παντὸς καὶ τῶν μαθηματικῶν τὸ μηθὲν συμβάλλεσθαι ἀλλήλοις τὰ πρότερα τοῖς ὕστερον ʼμὴ ὄντος γὰρ τοῦ ἀριθμοῦ οὐθὲν ἧττον τὰ μεγέθη ἔσται τοῖς τὰ μαθηματικὰ μόνον εἶναι φαμένοις, καὶ τούτων μὴ ὄντων ἡ ψυχὴ καὶ τὰ σώματα τὰ αἰσθητά:

eti de epizeteo an tis me lian eucheres eimi peri men o arithmos pas kai o mathematikos o medeis sumballo allelon o proteros o usteros amos eimi gar o arithmos oudeis esson o megethos eimi o o mathematikos monos eimi phemi kai outos me eimi o psyche kai o soma o aisthetes


Aristotle, Metaphysics book 14 (DIORISIS sentence 4110)

οὐκ ἔοικε δʼ ἡ φύσις ἐπεισοδιώδης οὖσα ἐκ τῶν φαινομένων, ὥσπερ μοχθηρὰ τραγῳδίἀ:

ou eoika de o phusis epeisodiodes eimi ek o phaino osper-2 mochtheros tragodia


Aristotle, Metaphysics book 14 (DIORISIS sentence 4111)

τοῖς δὲ τὰς ἰδέας τιθεμένοις τοῦτο μὲν ἐκφεύγει— ποιοῦσι γὰρ τὰ μεγέθη ἐκ τῆς ὕλης καὶ ἀριθμοῦ, ἐκ μὲν τῆς δυάδος τὰ μήκη, ἐκ τριάδος δʼ ἴσως τὰ ἐπίπεδα, ἐκ δὲ τῆς τετράδος τὰ στερεὰ ἢ καὶ ἐξ ἄλλων ἀριθμῶν:

o de o idea tithemi outos men ekpheugo poieo gar o megethos ek o ule kai arithmos ek men o duas o mekos ek trias de isos-3 o epipedos ek de o tetras o stereos ee kai ek allos arithmos


Aristotle, Metaphysics book 14 (DIORISIS sentence 4112)

διαφέρει γὰρ οὐθέν— ἀλλὰ ταῦτά γε πότερον ἰδέαι ἔσονται, ἢ τίς ὁ τρόπος αὐτῶν, καὶ τί συμβάλλονται τοῖς οὖσιν;

diaphero gar oudeis alla outos ge poteros idea eimi ee tis-2 o tropos-2 autos kai tis-2 sumballo o eimi


Aristotle, Metaphysics book 14 (DIORISIS sentence 4113)

οὐθὲν γάρ, ὥσπερ οὐδὲ τὰ μαθηματικά, οὐδὲ ταῦτα συμβάλλεται.

oudeis gar osper-2 oude o mathematikos oude outos sumballo


Aristotle, Metaphysics book 14 (DIORISIS sentence 4114)

ἀλλὰ μὴν οὐδʼ ὑπάρχει γε κατʼ αὐτῶν οὐθὲν θεώρημα, ἐὰν μή τις βούληται κινεῖν τὰ μαθηματικὰ καὶ ποιεῖν ἰδίας τινὰς δόξας.

alla men-2 oude uparcho ge kata autos oudeis theorema ean me tis boulomai kineo o mathematikos kai poieo idios tis dokeo