ἀπόδειξις: Difference between revisions

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|Definition=Ion. <b class="b3">-δεξις</b>, εως, ἡ, (ἀποδείκνυμι) <span class="sense"><p>&nbsp;&nbsp;&nbsp;<span class="bld">A</span> <b class="b2">showing forth, making</b> <b class="b2">known, exhibiting</b>, δι' ἀπειροσύνην . . κοὐκ ἀπόδειξιν τῶν ὑπὸ γαίας <span class="bibl">E. <span class="title">Hipp.</span>196</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">2</span> <b class="b2">setting forth, publication</b>, Ἠροδότου . . ἱστορίης ἀπόδεξις Hdt.<b class="b2">Prooem.;</b> <b class="b3">ἀρχῆς ἀ</b>. <b class="b2">an exposition, sketch</b> of it, <span class="bibl">Th.1.97</span>; ἀ. περὶ τὸν πολιτικόν <span class="bibl">Pl.<span class="title">Plt.</span>277a</span>; περί τινος <span class="bibl"><span class="title">R.</span>358b</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">3</span> <b class="b2">proof</b>, βουλομένοισί σφι γένοιτ' ἂν ἀ. <span class="bibl">Hdt.8.101</span>; ἀ. ποιεῖσθαι <span class="bibl">Lys.12.19</span>, etc.; esp. by words, ἀποδείξεις εὑρίσκειν τινός <span class="bibl">Isoc.10.3</span>; ἀ. λέγειν <span class="bibl">Pl.<span class="title">Tht.</span> 162e</span>; -ξεις φέρειν <span class="bibl">Plb.12.5.5</span>; <b class="b3">χρῆσθαί τινι ἀποδείξει τινός</b> use it <b class="b2">as a proof</b> of a thing, Plu.2.160a: in pl., <b class="b2">proofs</b>, or <b class="b2">arguments in proof</b> of, τινός <span class="bibl">D.18.300</span>, cf. <span class="bibl">Pl.<span class="title">Phd.</span>73a</span>; λέγειν τι ἐς ἀπόδειξιν τοῦ περιέσεσθαι τῷ πολέμῳ <span class="bibl">Th.2.13</span>; ἄνευ ἀποδείξεως <span class="bibl">Pl.<span class="title">Phd.</span>92d</span>; μετ' ἀ. <span class="bibl">Plb.3.1.3</span>, al.; <b class="b3">ἀ. λαμβάνειν . . τῶν μανθανόντων</b> <b class="b2">test</b> them by examination, etc., Plu.2.736d; ἀ. ποιεῖσθαι τῶν ἐφήβων <span class="title">IG</span>2.470.40; ἀ. τέχνης <b class="b2">specimen</b>, <span class="bibl">Dionys.Com.3.4</span>; ἀ. αὑτοῖς δοῦναί τινος Plu.2.79f, etc.; <b class="b2">citation</b>, ποιητῶν καὶ ἱστοριαγράφων ἀποδείξεις <span class="title">SIG</span>685.93 (Crete, ii B. C.). </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">b</span> in the Logic of Arist., <b class="b2">demonstration</b>, i. e. <b class="b2">deductive proof by syllogism</b>, AP0.71b17, al., cf. <span class="bibl">Epicur.<span class="title">Ep.</span> 1p.25U.</span>, <span class="title">Stoic.</span>2.89; opp. inductive proof (ἐπαγωγή), Arist.<span class="title">AP</span>0.81a40:—sts. in a loose sense, ἀ. ῥητορικὴ ἐνθύμημα <span class="bibl">Id.<span class="title">Rh.</span>1355a6</span>. </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">4</span> <b class="b2">appointment</b>, θεωρῶν <span class="title">SIG</span>402.29 (Delph., iii B. C.). </span><span class="sense">&nbsp;&nbsp;&nbsp;<span class="bld">II</span> (from Med.) <b class="b3">ἀ. ἔργων μεγάλων</b> <b class="b2">display, achievement</b> of mighty works, <span class="bibl">Hdt.1.207</span>, cf. <span class="bibl">2.101</span>,<span class="bibl">148</span>.</span>

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