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ἀπόδειξις

apodeixis

showing forth, making

Appears 36 times across Plato's dialogues.

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Dictionary (LSJ)

ἀπόδειξις, Ion. -δεξις, εως, ἡ, (ἀποδείκνυμι) A. 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. 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. 2.736d; ἀ. ποιεῖσθαι τῶν ἐφήβων IG 2.470.40; ἀ. τέχνης specimen, Dionys.Com. 3.4; ἀ. αὑτοῖς δοῦναί τινος Plu. 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. 1p.25U., 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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