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ἀπόδειξις

ἀπόδειξις, a shewing forth, exhibiting

ἀπόδειξις, Ion. -δεξις, εως, ἡ, (ἀποδείκνυμι)
  • showing forth, making known, exhibiting, διʼ ἀπειροσύνην . . κοὐκ ἀπόδειξιν τῶν ὑπὸ γαίας E. Hipp. 196.
      • 2 setting forth, publication, Ἠροδότου . . ἱστορίης ἀπόδεξις Hdt. Prooem.; ἀρχῆς ἀ. an exposition, sketch of it, Th. 1.97; ἀ. περὶ τὸν πολιτικόν Pl. Plt. 277a; περί τινος R. 358b.
      • 3 proof, βουλομένοισί σφι γένοιτʼ ἂν ἀ. Hdt. 8.101; ἀ. ποιεῖσθαι Lys. 12.19, etc.; esp. by words, ἀποδείξεις εὑρίσκειν τινός Isoc. 10.3; ἀ. λέγειν Pl. Tht. 162e; -ξεις φέρειν Plb. 12.5.5; χρῆσθαί τινι ἀποδείξει τινός use it as a proof of a thing, Plu. Symp. 2.160a: in pl., proofs, or arguments in proof of, τινός D. 18.300, cf. Pl. Phd. 73a; λέγειν τι ἐς ἀπόδειξιν τοῦ περιέσεσθαι τῷ πολέμῳ Th. 2.13; ἄνευ ἀποδείξεως Pl. Phd. 92d; μετʼ ἀ. Plb. 3.1.3, al.; ἀ. λαμβάνειν . . τῶν μανθανόντων test them by examination, etc., Plu. QConv. 2.736d; ἀ. ποιεῖσθαι τῶν ἐφήβων IG 2.470.40; ἀ. τέχνης specimen, Dionys.Com. 3.4; ἀ. αὑτοῖς δοῦναί τινος Plu. Profect. 2.79f, etc.; citation, ποιητῶν καὶ ἱστοριαγράφων ἀποδείξεις SIG 685.93 (Crete, ii B. C.).
        • b in the Logic of Arist., demonstration, i.e. deductive proof by syllogism, APo. 71b17, al., cf. Epicur. Ep. 1 p.25 U., Stoic. 2.89; opp. inductive proof (ἐπαγωγή), Arist. APo. 81a40:—sts. in a loose sense, ἀ. ῥητορικὴ ἐνθύμημα Id. Rh. 1355a6.
      • 4 appointment, θεωρῶν SIG 402.29 (Delph., iii B. C.).
    • II (from Med.) ἀ. ἔργων μεγάλων display, achievement of mighty works, Hdt. 1.207, cf. 2.101, 148.

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