ἀπόδειξις: Difference between revisions

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|Definition=Ion. [[ἀπόδεξις]], εως, ἡ, ([[ἀποδείκνυμι]]) <span class="sense"><span class="bld">A</span> [[showing forth]], [[making]] [[known]], [[exhibiting]], δι' ἀπειροσύνην . . κοὐκ ἀπόδειξιν τῶν ὑπὸ γαίας <span class="bibl">E. <span class="title">Hipp.</span>196</span>. </span><span class="sense"><span class="bld">2</span> [[setting forth]], [[publication]], Ἠροδότου . . ἱστορίης ἀπόδεξις Hdt.Prooem.; <b class="b3">ἀρχῆς ἀπόδειξις</b> an [[exposition]], [[sketch]] 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"><span class="bld">3</span> [[proof]], 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 as a [[proof]] of a thing, Plu.2.160a: in plural, [[proof]]s, or [[argument]]s in [[proof]] 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.; ἀ. λαμβάνειν . . τῶν μανθανόντων = [[test]] them by [[examination]], etc., Plu.2.736d; ἀ. ποιεῖσθαι τῶν ἐφήβων <span class="title">IG</span>2.470.40; ἀ. τέχνης [[specimen]], <span class="bibl">Dionys.Com.3.4</span>; ἀ. αὑτοῖς δοῦναί τινος Plu.2.79f, etc.; [[citation]], ποιητῶν καὶ ἱστοριαγράφων ἀποδείξεις <span class="title">SIG</span>685.93 (Crete, ii B. C.). </span><span class="sense"><span class="bld">b</span> in the Logic of Arist., [[demonstration]], i. e. [[deductive]] proof by [[syllogism]], 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, ἀπόδειξις ῥητορικὴ [[ἐνθύμημα]] <span class="bibl">Id.<span class="title">Rh.</span>1355a6</span>. </span><span class="sense"><span class="bld">4</span> [[appointment]], θεωρῶν <span class="title">SIG</span>402.29 (Delph., iii B. C.). </span><span class="sense"><span class="bld">II</span> (from Med.) <b class="b3">ἀπόδειξις ἔργων μεγάλων</b> [[display]], [[achievement]] of [[mighty]] [[work]]s, <span class="bibl">Hdt.1.207</span>, cf. <span class="bibl">2.101</span>,<span class="bibl">148</span>.</span>
|Definition=Ion. [[ἀπόδεξις]], εως, ἡ, ([[ἀποδείκνυμι]]) <span class="sense"><span class="bld">A</span> [[showing forth]], [[making]] [[known]], [[exhibiting]], δι' ἀπειροσύνην . . κοὐκ ἀπόδειξιν τῶν ὑπὸ γαίας <span class="bibl">E. <span class="title">Hipp.</span>196</span>. </span><span class="sense"><span class="bld">2</span> [[setting forth]], [[publication]], Ἠροδότου . . ἱστορίης ἀπόδεξις Hdt.Prooem.; <b class="b3">ἀρχῆς ἀπόδειξις</b> an [[exposition]], [[sketch]] 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"><span class="bld">3</span> [[proof]], 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 as a [[proof]] of a thing, Plu.2.160a: in plural, [[proof]]s, or [[argument]]s in [[proof]] 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.; ἀ. λαμβάνειν . . τῶν μανθανόντων = [[test]] them by [[examination]], etc., Plu.2.736d; ἀ. ποιεῖσθαι τῶν ἐφήβων <span class="title">IG</span>2.470.40; ἀ. τέχνης [[specimen]], <span class="bibl">Dionys.Com.3.4</span>; ἀ. αὑτοῖς δοῦναί τινος Plu.2.79f, etc.; [[citation]], ποιητῶν καὶ ἱστοριαγράφων ἀποδείξεις <span class="title">SIG</span>685.93 (Crete, ii B. C.). </span><span class="sense"><span class="bld">b</span> in the Logic of Arist., [[demonstration]], i. e. [[deductive]] proof by [[syllogism]], 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, ἀπόδειξις ῥητορικὴ [[ἐνθύμημα]] <span class="bibl">Id.<span class="title">Rh.</span>1355a6</span>. </span><span class="sense"><span class="bld">4</span> [[appointment]], θεωρῶν <span class="title">SIG</span>402.29 (Delph., iii B. C.). </span><span class="sense"><span class="bld">II</span> (from Med.) <b class="b3">ἀπόδειξις ἔργων μεγάλων</b> [[display]], [[achievement]] of [[mighty]] [[work]]s, <span class="bibl">Hdt.1.207</span>, cf. <span class="bibl">2.101</span>,<span class="bibl">148</span>.</span>
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{{DGE
|dgtxt=-εως, ἡ<br /><b class="num">• Alolema(s):</b> jón. -δεξις Hdt.8.101<br /><b class="num">I</b> en cont. de acción<br /><b class="num">1</b> [[manifestación]] c. gen. obj. τοῦ τρόπου τοῦ αὑτῶν ἀπόδειξιν ἐποιήσαντο Lys.12.19, ἐν ἀποδείξει Πνεύματος καὶ δυνάμεως 1<i>Ep.Cor</i>.2.4.<br /><b class="num">2</b> [[realización]] c. gen. de resultado ἔργων μεγάλων Hdt.1.207, cf. 2.101, 148.<br /><b class="num">3</b> c. gen. de n. de oficios [[nombramiento]] θεωρῶν <i>SIG</i> 402.29 (Delfos III a.C.).<br /><b class="num">II</b> gener. en cont. de ‘[[decir]]’<br /><b class="num">1</b> [[acción de mostrar por la palabra]] c. gen. δι' ... οὐκ ἀπόδειξιν τῶν ὑπὸ γαίας porque nadie explica las cosas de bajo la tierra</i> E.<i>Hipp</i>.196<br /><b class="num">•</b>cita ποιητῶν καὶ ἱστοριαγράφων ἀποδείξεις <i>ICr</i>.3.4.9.93 (Itanos II a.C.).<br /><b class="num">2</b> [[prueba]], [[demostración]] abs. οὐδ' αὐτὸς ὁ κατήγορος οὐδεμίαν ἀπόδειξιν εἴρηκεν Gorg.B 11a.29, γένοιτ' ἂν ἀ. Hdt.8.101, ἀπόδειξιν οὐδ' ἡντινοῦν λέγετε no estáis presentando prueba alguna</i> Pl.<i>Tht</i>.162e, [[ἄνευ]] ἀποδείξεως Pl.<i>Phd</i>.92d, X.<i>Mem</i>.4.6.13, ἔφερον ἀποδείξεις Plb.12.5.5, μετὰ ἀποδείξεως [[LXX]] 3<i>Ma</i>.4.20, cf. Numen.26.64<br /><b class="num">•</b>c. gen. obj. ἑνὸς ὄντος ... ἀποδείξεις εὑρίσκειν Isoc.10.3, ὅπερ γνώμης ἀπόδειξίς ἐστιν εὖ φρονούσης D.60.18, τῆς [[ἑαυτοῦ]] δυνάμεως Plb.12.25a.5, cf. Th.2.13, Pl.<i>Phd</i>.73a, D.25.9, 18.300, Dionys.Com.3.4, Ph.2.10, Plu.2.79f, Aristid.Quint.2.21, <i>POxy</i>.1012.fr.1.2.22<br /><b class="num">•</b>como pred. οἶμαι ... ἀποδείξει κεχρῆσθαι ... τοῦ μὴ ἀποθνῄσκειν τῷ μὴ τρέφεσθαι creo ... que usó como prueba de que no mueren por no comer</i> Plu.2.160a<br /><b class="num">•</b>c. gen. subjet. ἀ. ἔλαβεν ... τῶν μανθανόντων examinó a los alumnos</i> Plu.2.736d, ἐποήσατο δὲ καὶ τὰς ἀποδείξεις αὐτῶν (τῶν ἐφήβων) <i>IG</i> 2<sup>2</sup>.1011.40<br /><b class="num">•</b>c. ὅτι: ἡ δ' [[ἀπόδειξις]] ... ὅτι Hp.<i>Carn</i>.9<br /><b class="num">•</b>[[recibo]], <i>POxy</i>.1898.29 (IV d.C.).<br /><b class="num">3</b> lóg. [[demostración]], [[prueba deductiva mediante silogismo]] ἀπόδειξιν δὲ λέγω συλλογισμὸν ἐπιστημονικόν Arist.<i>APo</i>.71<sup>b</sup>18, cf. <i>Metaph</i>.1039<sup>b</sup>28, <i>APo</i>.85<sup>b</sup>23, <i>APr</i>.25<sup>b</sup>30, Epicur.<i>Ep</i>.[2] 73, Chrysipp.<i>Stoic</i>.2.89, op. [[ἐπαγωγή]] ‘[[prueba inductiva]]’, Arist.<i>APo</i>.81<sup>a</sup>40, ἔστι δ' [[ἀπόδειξις]] ῥητορικὴ [[ἐνθύμημα]] la demostración retórica es un entimema</i> Arist.<i>Rh</i>.1355<sup>a</sup>6<br /><b class="num">•</b>esp. mat. [[prueba]] μετὰ ἀποδείξεως Democr.B 299, cf. <i>PMich</i>.145.3.6.<br /><b class="num">III</b> en cont. de textos escritos [[tema]], [[finalidad]] Ἡροδότου ... ἱστορίης Hdt.proem.<br /><b class="num">•</b>[[exposición]] ἀρχῆς ἀ. Th.1.97, περὶ τὸν πολιτικόν Pl.<i>Plt</i>.277a, περὶ ἑκατέρου Pl.<i>R</i>.358b, περὶ ἰητρικῆς Hp.<i>de Arte</i> 3.
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|btext=εως (ἡ) :<br /><b>I. 1</b> action de montrer;<br /><b>2</b> exposition (de faits), publication;<br /><b>3</b> démonstration, preuve;<br /><b>II.</b> accomplissement, achèvement.<br />'''Étymologie:''' [[ἀποδείκνυμι]].
|btext=εως (ἡ) :<br /><b>I. 1</b> action de montrer;<br /><b>2</b> exposition (de faits), publication;<br /><b>3</b> démonstration, preuve;<br /><b>II.</b> accomplissement, achèvement.<br />'''Étymologie:''' [[ἀποδείκνυμι]].
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{{DGE
|dgtxt=-εως, ἡ<br /><b class="num">• Alolema(s):</b> jón. -δεξις Hdt.8.101<br /><b class="num">I</b> en cont. de acción<br /><b class="num">1</b> [[manifestación]] c. gen. obj. τοῦ τρόπου τοῦ αὑτῶν ἀπόδειξιν ἐποιήσαντο Lys.12.19, ἐν ἀποδείξει Πνεύματος καὶ δυνάμεως 1<i>Ep.Cor</i>.2.4.<br /><b class="num">2</b> [[realización]] c. gen. de resultado ἔργων μεγάλων Hdt.1.207, cf. 2.101, 148.<br /><b class="num">3</b> c. gen. de n. de oficios [[nombramiento]] θεωρῶν <i>SIG</i> 402.29 (Delfos III a.C.).<br /><b class="num">II</b> gener. en cont. de ‘[[decir]]’<br /><b class="num">1</b> [[acción de mostrar por la palabra]] c. gen. δι' ... οὐκ ἀπόδειξιν τῶν ὑπὸ γαίας porque nadie explica las cosas de bajo la tierra</i> E.<i>Hipp</i>.196<br /><b class="num">•</b>cita ποιητῶν καὶ ἱστοριαγράφων ἀποδείξεις <i>ICr</i>.3.4.9.93 (Itanos II a.C.).<br /><b class="num">2</b> [[prueba]], [[demostración]] abs. οὐδ' αὐτὸς ὁ κατήγορος οὐδεμίαν ἀπόδειξιν εἴρηκεν Gorg.B 11a.29, γένοιτ' ἂν ἀ. Hdt.8.101, ἀπόδειξιν οὐδ' ἡντινοῦν λέγετε no estáis presentando prueba alguna</i> Pl.<i>Tht</i>.162e, [[ἄνευ]] ἀποδείξεως Pl.<i>Phd</i>.92d, X.<i>Mem</i>.4.6.13, ἔφερον ἀποδείξεις Plb.12.5.5, μετὰ ἀποδείξεως [[LXX]] 3<i>Ma</i>.4.20, cf. Numen.26.64<br /><b class="num">•</b>c. gen. obj. ἑνὸς ὄντος ... ἀποδείξεις εὑρίσκειν Isoc.10.3, ὅπερ γνώμης ἀπόδειξίς ἐστιν εὖ φρονούσης D.60.18, τῆς [[ἑαυτοῦ]] δυνάμεως Plb.12.25a.5, cf. Th.2.13, Pl.<i>Phd</i>.73a, D.25.9, 18.300, Dionys.Com.3.4, Ph.2.10, Plu.2.79f, Aristid.Quint.2.21, <i>POxy</i>.1012.fr.1.2.22<br /><b class="num">•</b>como pred. οἶμαι ... ἀποδείξει κεχρῆσθαι ... τοῦ μὴ ἀποθνῄσκειν τῷ μὴ τρέφεσθαι creo ... que usó como prueba de que no mueren por no comer</i> Plu.2.160a<br /><b class="num">•</b>c. gen. subjet. ἀ. ἔλαβεν ... τῶν μανθανόντων examinó a los alumnos</i> Plu.2.736d, ἐποήσατο δὲ καὶ τὰς ἀποδείξεις αὐτῶν (τῶν ἐφήβων) <i>IG</i> 2<sup>2</sup>.1011.40<br /><b class="num">•</b>c. ὅτι: ἡ δ' [[ἀπόδειξις]] ... ὅτι Hp.<i>Carn</i>.9<br /><b class="num">•</b>[[recibo]], <i>POxy</i>.1898.29 (IV d.C.).<br /><b class="num">3</b> lóg. [[demostración]], [[prueba deductiva mediante silogismo]] ἀπόδειξιν δὲ λέγω συλλογισμὸν ἐπιστημονικόν Arist.<i>APo</i>.71<sup>b</sup>18, cf. <i>Metaph</i>.1039<sup>b</sup>28, <i>APo</i>.85<sup>b</sup>23, <i>APr</i>.25<sup>b</sup>30, Epicur.<i>Ep</i>.[2] 73, Chrysipp.<i>Stoic</i>.2.89, op. [[ἐπαγωγή]] ‘[[prueba inductiva]]’, Arist.<i>APo</i>.81<sup>a</sup>40, ἔστι δ' [[ἀπόδειξις]] ῥητορικὴ [[ἐνθύμημα]] la demostración retórica es un entimema</i> Arist.<i>Rh</i>.1355<sup>a</sup>6<br /><b class="num">•</b>esp. mat. [[prueba]] μετὰ ἀποδείξεως Democr.B 299, cf. <i>PMich</i>.145.3.6.<br /><b class="num">III</b> en cont. de textos escritos [[tema]], [[finalidad]] Ἡροδότου ... ἱστορίης Hdt.proem.<br /><b class="num">•</b>[[exposición]] ἀρχῆς ἀ. Th.1.97, περὶ τὸν πολιτικόν Pl.<i>Plt</i>.277a, περὶ ἑκατέρου Pl.<i>R</i>.358b, περὶ ἰητρικῆς Hp.<i>de Arte</i> 3.
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