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1 hold some validity
Математика: иметь под собой некоторую почву -
2 иметь под собой некоторую почву
Русско-английский научно-технический словарь переводчика > иметь под собой некоторую почву
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3 иметь под собой некоторую почву
Mathematics: hold some validityУниверсальный русско-английский словарь > иметь под собой некоторую почву
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4 иметь под собой некоторую почву
Русско-английский научно-технический словарь переводчика > иметь под собой некоторую почву
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5 ἵστημι
ἵστημι (Hom.+, ins, pap [Mayser 353]; LXX [Thackeray 247f]; pseudepigr., Philo, Joseph., apolog. exc. Ar.) and also ἱστάνω (since I B.C. SIG 1104, 26 ἱστανόμενος; pap [Mayser, loc. cit., with ἀνθιστάνω documented here as early as III B.C.]; Epict. 3, 12, 2; LXX [Ezk 17:14; Thackeray, loc. cit.]; later wr. in Psaltes 236) Ro 3:31; Hs 8, 1, 10 (s. Whittaker on 8, 1, 8; s. B-D-F §93; Mlt-H. 202). Fut. στήσω; 1 aor. ἔστησα; 2 aor. ἔστην, impv. στῆθι, inf. στῆναι, ptc. στάς; pf. ἕστηκα ( I stand), ptc. ἑστηκώς, ός and ἑστώς En 12:3; JosAs 7:2; J 12:29,-ῶσα J 8:9 v.l., neut. ἑστώς Rv 14:1 v.l. (s. B-D-F §96; W-S. §14, 5; Mlt-H. 222) and ἑστός, inf. always ἑστάναι; plpf. εἱστήκειν ( I stood) or ἱστήκειν GPt 2:3, third pl. εἱστήκεισαν Mt 12:46; J 18:18; Ac 9:7; Rv 7:11 (W-H. spell it ἱστ. everywhere); ἑστάκαμεν w. act. mng. 1 Macc 11:34; fut. mid. στήσομαι Rv 18:15. Pass.: 1 fut. σταθήσομαι; 1 aor. ἐστάθην (PEg2 65). S. στήκω. Trans.: A. Intr.: B, C, D.A. trans. (pres., impf., fut., 1 aor. act.; s. B-D-F §97, 1; Mlt-H. 241) gener. ‘put, place, set’.① to cause to be in a place or position, set, place, bring, allow to come τινά someone, lit. ἐν τῷ συνεδρίῳ Ac 5:27. εἰς αὐτούς before them 22:30. ἐκ δεξιῶν τινος at someone’s right (hand) Mt 25:33. ἐν μέσῳ in the midst, among 18:2; Mk 9:36; J 8:3. ἐνώπιόν τινος before someone Ac 6:6. Also κατενώπιόν τινος Jd 24. ἐπί τι upon someth. Mt 4:5; Lk 4:9. παρά τινι beside someone 9:47.② to propose someone for an obligation, put forward, propose, lit. (e.g. Just., A I, 60, 3 Μωυσέα … τύπον σταυροῦ … στῆσαι ἐπὶ τῇ ἁγίᾳ σκηνῇ) τινά for a certain purpose: the candidates for election to the apostleship Ac 1:23. μάρτυρας ψευδεῖς 6:13 (cp. Mel., P. 93, 700 ψευδομάρτυρες).③ to set up or put into force, establish, fig. ext. of 1 (cp. Gen 26:3 τὸν ὅρκον; Ex 6:4) τὴν ἰδίαν δικαιοσύνην Ro 10:3. τὸ δεύτερον (opp. ἀναιρεῖν τὸ πρῶτον, a ref. to sacrificial system) Hb 10:9.—Of legal enforcement κύριε, μὴ στήσῃς αὐτοῖς ταύτην τ. ἁμαρτίαν Lord, do not hold this sin against them Ac 7:60 (contrast ἀφίημι 1 Macc 13:38f; 15:5; Stephen’s expression=ἄφες Lk 23:34; s. Beginn. IV, ad loc.).④ to validate someth. that is in force or in practice, reinforce validity of, uphold, maintain, validate τὶ someth. fig. ext. of 1 (1 Macc 2:27 τὴν διαθήκην) τὴν παράδοσιν ὑμῶν validate or maintain your own tradition Mk 7:9. νόμον ἱστάνομεν we uphold (the) law Ro 3:31 (s. καταργέω 2).⑤ to cause to be steadfast, make someone stand δυνατεῖ ὁ κύριος στῆσαι αὐτόν Ro 14:4.ⓐ set/fix a time a period of time ἡμέραν (s. ἡμέρα 3a) Ac 17:31.ⓑ determine a monetary amount οἱ δὲ ἔστησαν αὐτῷ τριάκοντα ἀργύρια Mt 26:15 (=Zech 11:12 ἔστησαν τὸν μισθόν μου τριάκοντα ἀργύρους), presents a special problem for interpreters because of the author’s theological and narrative interests, which prompt him to connect an allusion here to Zech 11:12 in anticipation of a fulfillment statement at Mt 27:9f, which in haggadic fashion draws on Zech 11:13 in the longer form of the Mt and Jer 32 (Mt 39):7–9 (s. JDoeve, Jewish Hermeneutics in the Synoptic Gospels and Acts, ’54, 185–87). Jer 39:9 and Zech 11:12 use the verb ἱ. in the sense weigh out on scales (Hom.; X., Cyr. 8, 2, 21, Mem. 1, 1, 9 al.; GDI p. 870, n49 A [Ephesus VI B.C.] 40 minas ἐστάθησαν; Is 46:6; Jer 39:9; 2 Esdr 8:25), and some (e.g. BWeiss, HHoltzmann, JWeiss; FSchulthess, ZNW 21, 1922, 227f; Field, Notes 19f) interpret Mt 26:15 in this sense. Of course Mt’s readers would know that coinage of their time was not ‘weighed out’ and would understand ἱ. in the sense of striking a bargain (ἵστημι=set a price, make an offer, close a bargain: Herodas 7, 68 pair of shoes; BGU 1116, 8 [I B.C.]; 912, 25 [I A.D.]; PRainer 206, 10 [II A.D.] κεφάλαιον), they set out (=offered, allowed) for him (=paid him) 30 silver coins (Wlh., OHoltzmann, Schniewind), but the more sophisticated among them would readily recognize the obsolete mng. Ac 7:60 is sometimes interpreted in a related sense, but the absence of a direct object of amount paid suggests that the pass. is better placed in 3 above.B. intr., aor. and fut. forms① to desist from movement and be in a stationary position, stand still, stop (Hom., Aristot.; Philostrat., Ep. 36, 2 ὁ ποταμὸς στήσεται; TestSol 7:3 οὕτως ἔστη ἡ αὔρα) Lk 24:17. στὰς ὁ Ἰησοῦς ἐφώνησεν αὐτούς Mt 20:32.—Mk 10:49; Lk 7:14; 17:12; 18:40. στῆναι τὸ ἅρμα Ac 8:38. ἀπὸ μακρόθεν ἔστησαν Rv 18:17; cp. vs. 15. ἔστησαν ἐν τῷ τόπῳ τοῦ σπηλαίου GJs 19:2. ἔστη ἐπὶ τόπου πεδινοῦ he took his stand on a level place Lk 6:17. Of a star ἐστάθη ἐπάνω οὗ ἦν τὸ παιδίον Mt 2:9; also ἐπὶ τὴν κεφαλὴν τοῦ παιδίου GJs 21:3. Of a flow of blood come to an end ἔστη ἡ ῥύσις τ. αἵματος Lk 8:44 (cp. Ex 4:25 [though HKosmala, Vetus Test. 12, ’62, 28 renders it as an emphatic εἶναι] Heraclid. Pont., Fgm. 49 W.; POxy 1088, 21 [I A.D.]; Cyranides p. 117 note γυναικὶ … αἷμα ἵστημι παραχρῆμα). στῆθι stand Js 2:3. ἡ χεὶρ αὐτοῦ ἔστη ἄνω his hand remained (motionless) upraised GJs 18:3 (not pap).② to come up in the presence of others, come up, stand, appear ἔμπροσθέν τινος before someone Mt 27:11; Lk 21:36. Also ἐνώπιόν τινος Ac 10:30; GJs 11:2 (κατενώπιον TestSol 22:13; Just., D. 127, 3) or ἐπί τινος: σταθήσεσθε you will have to appear Mt 10:18 v.l.; Mk 13:9; ἐπί τοῦ παλατίου AcPl Ha 9, 20. στῆθι εἰς τὸ μέσον Lk 6:8; cp. vs. 8b; J 20:19, 26 (Vi. Aesopi I c. 6 p. 243, 15 Αἴσωπος στὰς εἰς τὸ μέσον ἀνέκραξεν). Also ἐν μέσῳ Lk 24:36; Ac 17:22; Ox 1 verso, 11 (s. Unknown Sayings, 69–71). ἔστη εἰς τὸ κριτήριον she stood before the court GJs 15:2. Cp. J 21:4; Rv 12:18; Lk 7:38. Step up or stand to say someth. or make a speech Lk 18:11. Cp. 19:8; Ac 2:14; 5:20; 11:13 al. ἔστησαν … προσδοκῶντες τὸν Ζαχαρίαν they stood waiting for Z. GJs 24:1. Pract. in the sense of the pf. δυνάμενοι … ἀλλʼ οὐδὲ στῆναι (the cult images) which could not remain standing AcPl Ha 1, 20 (cp. ἵστατο δένδρον κυπάρισσος TestAbr A 3 p. 79, 17 [Stone p. 6]; ὁ τόπος ἐν ᾧ ἱστάμεθα GrBar 6:13).③ to stand up against, resist, w. πρὸς and acc. offer resistance (Thu. 5, 104) Eph 6:11; abs. resist (Ex 14:13) vs. 13. (Cp. the term στάσις in the sense of ‘rebellion’.)④ stand firm so as to remain stable, stand firm, hold one’s ground (Ps 35:13) in battle (X., An. 1, 10, 1) Eph 6:14. σταθήσεται will stand firm Ro 14:4a. τίς δύναται σταθῆναι; Rv 6:17. εἰς ἣν στῆτε stand fast in it (Goodsp., Probs. 198) 1 Pt:12. Of house, city, or kingdom Mt 12:25f; Mk 3:24f; Lk 11:18. Cp. Mk 3:26. The OT expr. (Dt 19:15) ἵνα ἐπὶ στόματος δύο μαρτύρων ἢ τριῶν σταθῇ πᾶν ῥῆμα Mt 18:16; 2 Cor 13:1.⑤ come to a standing position, stand up ἐπὶ τοὺς πόδας on one’s feet (Ezk 2:1) Ac 26:16; Rv 11:11. Abs. Ac 3:8.C. intr., perf. and plupf.① to be in a standing position, I stand, I stood of bodily position, e.g. of a speaker J 7:37; Ac 5:25, of hearers J 12:29 or spectators Mt 27:47; Lk 23:35; Ac 1:11, of accusers Lk 23:10. Cp. J 18:5, 16, 18ab, 25; 19:25; Ac 16:9 al.② to be at a place, stand (there), be (there), w. the emphasis less on ‘standing’ than on ‘being, existing’.ⓐ position indicated by adv. of place ἔξω Mt 12:46f; Lk 8:20; 13:25. μακρόθεν Lk 18:13. ἀπὸ μακρόθεν at a distance 23:49; Rv 18:10. ἐκεῖ Mk 11:5. ὅπου 13:14. ὧδε Mt 16:28; 20:6b. αὐτοῦ Lk 9:27; ἀπέναντι AcPl Ha 3, 30.ⓑ w. place indicated by a prep. ἐκ δεξιῶν τινος at the right (hand) of someone or someth. Lk 1:11; Ac 7:55f (HOwen, NTS 1, ’54/55, 224–26). ἐν αὐτοῖς among them Ac 24:21; w. ἐν and dat. of place Mt 20:3; 24:15; J 11:56; Rv 19:17. ἐν μέσῳ J 8:9 v.l. μέσος ὑμῶν 1:26 (v.l. στήκει). ἐπί w. gen. (X., Cyr. 3, 3, 66; Apollodorus [II B.C.]: 244 Fgm. 209 Jac. ἐπὶ τ. θύρας) Ac 5:23; 21:40; 24:20; 25:10; Rv 10:5, 8; AcPl Ha 7, 37; w. dat. Ac 7:33; w. acc. Mt 13:2; Rv 3:20; 7:1; 14:1; 15:2; GJs 5:2 (ἕστηκας codd., ἔστης pap). παρά w. acc. of place Lk 5:1f. πέραν τῆς θαλάσσης J 6:22. πρό w. gen. of place Ac 12:14. πρός w. dat. of place J 20:11. σύν τινι Ac 4:14. μετά τινος AcPl Ha 11, 3. κύκλῳ τινός around someth. Rv 7:11. W. ἐνώπιον (functioning as prep.) ἐνώπιόν τινος Rv 7:9; 11:4; 12:4; 20:12.ⓒ abs. (Epict. 4, 1, 88 ἑστῶσα of the citadel, simply standing there; Tat. 26, 2 παρατρέχοντας μὲν ὑμᾶς, ἑστῶτα δὲ τὸν αἰῶνα) Mt 26:73; J 1:35; 3:29; 20:14; Ac 22:25. τὰ πρόβατα εἱστήκει the sheep stood still GJs 18:2 (not pap). The verb standing alone in the sense stand around idle (Eur., Iph. Aul. 861; Aristoph., Av. 206, Eccl. 852; Herodas 4, 44) Mt 20:6a. ἀργός can be added (Aristoph., Eccl. 879f, Pax 256 ἕστηκας ἀργός) vs. 6a v.l., 6b (w. the question cp. Eubulus Com., Fgm. 15, 1 K. τί ἕστηκας ἐν πύλαις; Herodas 5, 40). W. modifying words (Pla., Phdr. 275d ἕστηκε ὡς ζῶντα τὰ ἔκγονα) εἱστήκεισαν ἐνεοί they stood there speechless Ac 9:7. ὡς ἐσφαγμένον Rv 5:6. cp. Ac 26:6. εἱστήκει ἀπεκδεχόμενος AcPl Ant 13, 22 (=Aa I, 237, 5).③ to stand in attendance on someone, attend upon, be the servant of Rv 8:2 (RCharles, Rv ICC vol. 1, p. 225).④ stand firm in belief, stand firm of personal commitment in gener. (opp. πεσεῖν), fig. ext. of 1, 1 Cor 10:12; 2 Cl 2:6. τ. πίστει ἕστηκας you stand firm because of your faith Ro 11:20; cp. 2 Cor 1:24. ὸ̔ς ἕστηκεν ἐν τ. καρδίᾳ αὐτοῦ ἑδραῖος one who stands firm in his heart 1 Cor 7:37. ὁ θεμέλιος ἕστηκεν the foundation stands (unshaken) 2 Ti 2:19 (Stob. 4, 41, 60 [vol. V, p. 945]: Apelles, when he was asked why he represented Tyche [Fortune] in a sitting position, answered οὐχ ἕστηκεν γάρ=because she can’t stand, i.e. has no stability; Hierocles 11, 441 ἑστῶτος τοῦ νόμου=since the law stands firm [unchanged]; Procop. Soph., Ep. 47 μηδὲν ἑστηκὸς κ. ἀκίνητον; 75).⑤ to be in a condition or state, stand or be in someth., fig. ext. of 1; grace (Hierocles 12, 446 ἐν ἀρετῇ) Ro 5:2; within the scope of the gospel 1 Cor 15:1; in truth J 8:44.D. intr., pres. mid. to have a beginning, begin, calendaric expression (as old as Hom.) μὴν ἱστάμενος the month just beginning (oft. ins) MPol 21—B. 835. DELG. M-M. TW. -
6 рассуждение
(= аргументация) reasoning, argument• Более совершенным рассуждением можно показать, что... - By a more refined argument it can be shown that...• В меньшей степени подобные рассуждения приложимы для/к... - То a lesser extent, similar considerations hold for...• В общем случае рассуждение становится строгим, если использовать... - For the general case the argument is made precise by use of...• Второе заключение может быть доказано подобным рассуждением. - The second conclusion can be proved by a similar argument.• Далее рассуждения осложняются тем обстоятельством, что... - Matters are complicated further by the fact that...• Дальнейшие рассуждения затем привели бы к идее... - Further argument would then lead to the idea of...• Данная последовательность рассуждений подобна той, что... - The chain of reasoning is similar to that of...• Данное рассуждение можно одинаково хорошо применить к/в... - The argument can be applied equally well to...• Данное рассуждение можно провести в обратном порядке, следовательно... - The argument is reversible so that...• Данное рассуждение повторяет предыдущее, за исключением того, что... - The argument proceeds as before, except that...• Данные рассуждения зависят от справедливости... - These arguments depend on the validity of...• Здесь требуется более тонкое (= сложное) рассуждение. - A more subtle argument is required.• Используя те же самые рассуждения, мы находим... - Using precisely the same reasoning, we find...• Легкое изменение приведенного выше рассуждения показывает, что... - A slight modification of the above reasoning shows that...• Мы будем часто иллюстрировать наши рассуждения с помощью... - We shall often illustrate our arguments by...• Мы могли бы применить эти рассуждения, например, к/в... - We may apply these considerations, for example, to...• Мы могли бы продолжить это рассуждение дальше. - We may take this argument further.• Мы могли бы продолжить это рассуждение и заключить, что... - We may continue this argument and so deduce that...• Мы не приводим это рассуждение со всеми подробностями по следующим причинам. - We do not present this argument in detail for the following reasons.• Мы ограничим наши рассуждения случаем... - We shall restrict our considerations to the case of...• Наши рассуждения в предыдущем параграфе могли бы привести нас к предположению, что... - Our work in the previous section might lead us to suspect that...• Несколько иное рассуждение показывает, что... - A slightly different argument shows that...• Обобщая данное рассуждение, видим, что... - By an extension of this argument it is seen that...• Однако из нашего рассуждения понятно, что... - However, it is clear from our discussion that...• По аналогии с предыдущими рассуждениями... - By analogy with our above discussion,...• Повторяя приведенное выше рассуждение, мы получаем... - By repeating the above argument we obtain...• Повторяя это рассуждение, мы обнаруживаем, что... - Repeating this argument, we find that...• Подобное же рассуждение покажет нам... - A similar argument will show that...• Подобное рассуждение доказало бы, что... - A similar argument would prove that...• Подобное рассуждение могло бы быть проведено, используя... - A similar argument may be made using...• Подобное рассуждение можно использовать, когда... - A similar argument can be used when...• Подобное рассуждение применяется в случае, когда а > 1. - A similar argument applies when a > 1.• Посмотрим, как это рассуждение может быть применено к... - Let us now see how this argument carries over to...• Предыдущее рассуждение требует некоторых дополнительных комментариев. - The foregoing reasoning requires some further comment.• Предыдущие рассуждения базируются на предположении... - The foregoing arguments rely on the assumption that...• Предыдущие рассуждения можно было бы с равным успехом приложить к... - The above considerations may be applied equally well to...• Приведенное здесь рассуждение игнорирует... - The argument given here ignores...• Рассуждение, приведенное в конце последней главы, показывает, что... - The argument at the end of the last chapter shows that...• Рассуждения Гильберта относительно этого уравнения показывают, что... - Hubert's discussion of this equation shows that...• Рассуждениями того же типа мы приходим к... - By the same sort of reasoning we are led to...• Рассуждениями, которые полностью аналогичны представленным в предыдущей главе, мы приходим к заключению, что... - By arguments that are completely analogous to those presented in the previous chapter we conclude that...• Следующее простое рассуждение может дать некоторое понимание... - The following simple reasoning may give some insight into...• Следующее рассуждение иллюстрирует метод... - The following treatment illustrates the method of...• Следуя рассуждениям Баутина, мы теперь можем легко показать... - Following the argument of Bautin we can now easily show that...• Сущностью этого рассуждения является то, что... - The essence of the argument is that...• Та же самая последовательность рассуждений говорит нам, что... - The same line of argument tells us that...• Рассуждения такого же типа доказывают следующий результат. - Arguments of the same type prove the following result.• Теперь мы построим строгую версию предыдущего рассуждения. - We shall now construct a rigorous version of the above argument.• То же самое рассуждение показывает, что... - The same reasoning shows that...• То же самое рассуждение применяется в/к... - The same argument applies to...• То же самое рассуждение четко показывает, что... - The same reasoning evidently shows that...• То же самое рассуждение, что и выше, показывает, что... - The same argument as above shows that...• Эта цепь рассуждений не выдерживает критики. - This chain of reasoning does not stand up under scrutiny.• Эти рассуждения диктуют, что... - These considerations dictate that...• Эти рассуждения наводят на мысль, что... - These considerations suggest that...• Эти рассуждения показывают нам, что... - These considerations show us that...• Эти рассуждения показывают, как мы можем... - These considerations show how we can...• Это нестрогое рассуждение приводит нас к... - This crude argument leads to...• Это обсуждение основывается на рассуждениях Кельвина [1]. - This discussion is based on that given by Kelvin [1].• Это ограничение не влияет на наши рассуждения. - This limitation does not concern us.• Это рассуждение может быть обосновано, если мы напишем... - This argument can be justified if we write...• Это рассуждение можно одинаково хорошо применить к... - The argument can be applied equally well to...• Это рассуждение подобно тому, что было использовано для установления... - The argument is similar to that used to establish...• Это рассуждение правильно лишь тогда, когда... - This argument is only correct when...• Это рассуждение, в основном, является распространением... - The argument is essentially an extension of... -
7 Creativity
Put in this bald way, these aims sound utopian. How utopian they areor rather, how imminent their realization-depends on how broadly or narrowly we interpret the term "creative." If we are willing to regard all human complex problem solving as creative, then-as we will point out-successful programs for problem solving mechanisms that simulate human problem solvers already exist, and a number of their general characteristics are known. If we reserve the term "creative" for activities like discovery of the special theory of relativity or the composition of Beethoven's Seventh Symphony, then no example of a creative mechanism exists at the present time. (Simon, 1979, pp. 144-145)Among the questions that can now be given preliminary answers in computational terms are the following: how can ideas from very different sources be spontaneously thought of together? how can two ideas be merged to produce a new structure, which shows the influence of both ancestor ideas without being a mere "cut-and-paste" combination? how can the mind be "primed," so that one will more easily notice serendipitous ideas? why may someone notice-and remember-something fairly uninteresting, if it occurs in an interesting context? how can a brief phrase conjure up an entire melody from memory? and how can we accept two ideas as similar ("love" and "prove" as rhyming, for instance) in respect of a feature not identical in both? The features of connectionist AI models that suggest answers to these questions are their powers of pattern completion, graceful degradation, sensitization, multiple constraint satisfaction, and "best-fit" equilibration.... Here, the important point is that the unconscious, "insightful," associative aspects of creativity can be explained-in outline, at least-by AI methods. (Boden, 1996, p. 273)There thus appears to be an underlying similarity in the process involved in creative innovation and social independence, with common traits and postures required for expression of both behaviors. The difference is one of product-literary, musical, artistic, theoretical products on the one hand, opinions on the other-rather than one of process. In both instances the individual must believe that his perceptions are meaningful and valid and be willing to rely upon his own interpretations. He must trust himself sufficiently that even when persons express opinions counter to his own he can proceed on the basis of his own perceptions and convictions. (Coopersmith, 1967, p. 58)he average level of ego strength and emotional stability is noticeably higher among creative geniuses than among the general population, though it is possibly lower than among men of comparable intelligence and education who go into administrative and similar positions. High anxiety and excitability appear common (e.g. Priestley, Darwin, Kepler) but full-blown neurosis is quite rare. (Cattell & Butcher, 1970, p. 315)he insight that is supposed to be required for such work as discovery turns out to be synonymous with the familiar process of recognition; and other terms commonly used in the discussion of creative work-such terms as "judgment," "creativity," or even "genius"-appear to be wholly dispensable or to be definable, as insight is, in terms of mundane and well-understood concepts. (Simon, 1989, p. 376)From the sketch material still in existence, from the condition of the fragments, and from the autographs themselves we can draw definite conclusions about Mozart's creative process. To invent musical ideas he did not need any stimulation; they came to his mind "ready-made" and in polished form. In contrast to Beethoven, who made numerous attempts at shaping his musical ideas until he found the definitive formulation of a theme, Mozart's first inspiration has the stamp of finality. Any Mozart theme has completeness and unity; as a phenomenon it is a Gestalt. (Herzmann, 1964, p. 28)Great artists enlarge the limits of one's perception. Looking at the world through the eyes of Rembrandt or Tolstoy makes one able to perceive aspects of truth about the world which one could not have achieved without their aid. Freud believed that science was adaptive because it facilitated mastery of the external world; but was it not the case that many scientific theories, like works of art, also originated in phantasy? Certainly, reading accounts of scientific discovery by men of the calibre of Einstein compelled me to conclude that phantasy was not merely escapist, but a way of reaching new insights concerning the nature of reality. Scientific hypotheses require proof; works of art do not. Both are concerned with creating order, with making sense out of the world and our experience of it. (Storr, 1993, p. xii)The importance of self-esteem for creative expression appears to be almost beyond disproof. Without a high regard for himself the individual who is working in the frontiers of his field cannot trust himself to discriminate between the trivial and the significant. Without trust in his own powers the person seeking improved solutions or alternative theories has no basis for distinguishing the significant and profound innovation from the one that is merely different.... An essential component of the creative process, whether it be analysis, synthesis, or the development of a new perspective or more comprehensive theory, is the conviction that one's judgment in interpreting the events is to be trusted. (Coopersmith, 1967, p. 59)In the daily stream of thought these four different stages [preparation; incubation; illumination or inspiration; and verification] constantly overlap each other as we explore different problems. An economist reading a Blue Book, a physiologist watching an experiment, or a business man going through his morning's letters, may at the same time be "incubating" on a problem which he proposed to himself a few days ago, be accumulating knowledge in "preparation" for a second problem, and be "verifying" his conclusions to a third problem. Even in exploring the same problem, the mind may be unconsciously incubating on one aspect of it, while it is consciously employed in preparing for or verifying another aspect. (Wallas, 1926, p. 81)he basic, bisociative pattern of the creative synthesis [is] the sudden interlocking of two previously unrelated skills, or matrices of thought. (Koestler, 1964, p. 121)11) The Earliest Stages in the Creative Process Involve a Commerce with DisorderEven to the creator himself, the earliest effort may seem to involve a commerce with disorder. For the creative order, which is an extension of life, is not an elaboration of the established, but a movement beyond the established, or at least a reorganization of it and often of elements not included in it. The first need is therefore to transcend the old order. Before any new order can be defined, the absolute power of the established, the hold upon us of what we know and are, must be broken. New life comes always from outside our world, as we commonly conceive that world. This is the reason why, in order to invent, one must yield to the indeterminate within him, or, more precisely, to certain illdefined impulses which seem to be of the very texture of the ungoverned fullness which John Livingston Lowes calls "the surging chaos of the unexpressed." (Ghiselin, 1985, p. 4)New life comes always from outside our world, as we commonly conceive our world. This is the reason why, in order to invent, one must yield to the indeterminate within him, or, more precisely, to certain illdefined impulses which seem to be of the very texture of the ungoverned fullness which John Livingston Lowes calls "the surging chaos of the unexpressed." Chaos and disorder are perhaps the wrong terms for that indeterminate fullness and activity of the inner life. For it is organic, dynamic, full of tension and tendency. What is absent from it, except in the decisive act of creation, is determination, fixity, and commitment to one resolution or another of the whole complex of its tensions. (Ghiselin, 1952, p. 13)[P]sychoanalysts have principally been concerned with the content of creative products, and with explaining content in terms of the artist's infantile past. They have paid less attention to examining why the artist chooses his particular activity to express, abreact or sublimate his emotions. In short, they have not made much distinction between art and neurosis; and, since the former is one of the blessings of mankind, whereas the latter is one of the curses, it seems a pity that they should not be better differentiated....Psychoanalysis, being fundamentally concerned with drive and motive, might have been expected to throw more light upon what impels the creative person that in fact it has. (Storr, 1993, pp. xvii, 3)A number of theoretical approaches were considered. Associative theory, as developed by Mednick (1962), gained some empirical support from the apparent validity of the Remote Associates Test, which was constructed on the basis of the theory.... Koestler's (1964) bisociative theory allows more complexity to mental organization than Mednick's associative theory, and postulates "associative contexts" or "frames of reference." He proposed that normal, non-creative, thought proceeds within particular contexts or frames and that the creative act involves linking together previously unconnected frames.... Simonton (1988) has developed associative notions further and explored the mathematical consequences of chance permutation of ideas....Like Koestler, Gruber (1980; Gruber and Davis, 1988) has based his analysis on case studies. He has focused especially on Darwin's development of the theory of evolution. Using piagetian notions, such as assimilation and accommodation, Gruber shows how Darwin's system of ideas changed very slowly over a period of many years. "Moments of insight," in Gruber's analysis, were the culminations of slow long-term processes.... Finally, the information-processing approach, as represented by Simon (1966) and Langley et al. (1987), was considered.... [Simon] points out the importance of good problem representations, both to ensure search is in an appropriate problem space and to aid in developing heuristic evaluations of possible research directions.... The work of Langley et al. (1987) demonstrates how such search processes, realized in computer programs, can indeed discover many basic laws of science from tables of raw data.... Boden (1990a, 1994) has stressed the importance of restructuring the problem space in creative work to develop new genres and paradigms in the arts and sciences. (Gilhooly, 1996, pp. 243-244; emphasis in original)Historical dictionary of quotations in cognitive science > Creativity
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