ὕπαρξις · hyparxis — LSJ
existence, reality, τοῦ θεοῦ Phld. Piet. 114, cf. D. 3.10; opp. ἀνυπαρξία, S.E. P. 1.21, cf. 3.24; opp. νόησις, Plu. Comm.not. 2.1067c, Gal. 6.115; opp. ἀναίρεσις, A.D. Conj. 221.17; εἴ τις . . ἐν οὐχ ὑπάρξει τὸν χρόνον λέγοι Plot. 3.7.13.
in Logic, existence in a subject, Ammon. in Cat. 6.16, al.
Gramm., τὰ τῆς ὑπάρξεως ῥήματα, = ὑπαρκτικὰ ῥ., A.D. Pron. 25.2, cf. Stoic. 2.46.
Math., positive term, λεῖψις ἐπὶ λεῖψιν πολλαπλασιασθεῖσα ποιεῖ ὕπαρξιν Dioph. 1 Def. 9; cf. ὑπάρχω B. IV. 3.
substance, ἡ τοῦ κέρατος ὕ. S.E. P. 1.129.
like τὰ ὑπάρχοντα, substance, property, LXX Pr. 18.11, Plb. 2.17.11, Phld. Oec. p.69 J. (pl.), D.H. 7.8, D.S. 20.71, Ep.Hebr. 10.34, POxy. 1274.14 (iii A. D.); χρημάτων ὕ. Teles p.43 H.