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1 logical similarity
Большой англо-русский и русско-английский словарь > logical similarity
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2 logical similarity
Математика: логическое подобие -
3 logical similarity
мат. -
4 similarity
1) адекватность2) аналог, аналогия3) мат. гомотетия4) однородность5) подобие7) сходство•association by similarity — мат. ассоциация по сходству
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5 логическое подобие
logical similarity мат.Русско-английский научно-технический словарь Масловского > логическое подобие
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6 логическое подобие
Большой англо-русский и русско-английский словарь > логическое подобие
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7 логическое подобие
Mathematics: logical similarityУниверсальный русско-английский словарь > логическое подобие
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8 law
1) закон3) правило4) принцип•under the law — по закону, согласно закону, в соответствии с законом
- Biot law- converse law of double negation- cube law- distributive law of disjunction over conjunction - double law of the mean - fifth power law - first distributive law - first law of mean- gas law- idempotency law - infinitely decomposable law - infinitely divisible law - inverse sine law - inverse square law - law of addition of probability - law of alteration of quantifiers - law of associativity of disjunction - law of comparative judgment - law of constant angles - law of double complementation - law of equal significance - law of mass action - law of random function - law of random vector - law of requisite variety - law of right invertibility - law of statistical regularity - law of universal causation - law of universal gravitation - Newton's first law of motion - Newton's law of gravitation - Newton's second law of motion - Newton's third law of motion - normal law of composition - normal law of errors - one-sided modular law - probabilistic law - probability law - product law of probability - quadratic reciprocity law - second law of mean - second order law - similitude law- time law- weak law -
9 theorem
- analytical hierarchy theorem - arithmetical hierarchy theorem - closed range theorem - formally provable theorem - implicit function theorem - initial value theorem - integral representation theorem - local limit theorem - maximal ergodic theorem - mean value theorem - normal form theorem - ratio limit theorem - rational root theorem - second mean value theorem - theorem of consistency proofs - theorem of corresponding states - three line theorem - three series theorem - uniform convergence theorem - uniform ergodic theorem - uniform mean value theoremtheorem implies — из теоремы следует, что…
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10 matrix
1) мат. матрица || матричный2) форма, шаблон4) растр5) решётка6) таблица7) геол. материнская порода, основная масса ( породы)8) основа кристаллического вещества; кристаллическая решётка•- absolutely equivalent matrices - adjoint matrices - almost perfect matrix - almost periodic matrix - almost superdiagonal matrix - associative matrix - birth-death coefficient matrix - cocycle matrix - commutative matrix - commute matrices - commuting matrix - complex conjugate matrix - compound matrix - conjunctive matrices - consistently ordered matrix - constituent matrices - deficient matrix - doubly degenerated matrix - doubly stochastic matrix - encoding matrix - essentially positive matrix - magnetic core matrix - matrix of linear transformation - multiplicatively cogredient matrix - multiply degenerate matrix - mutually consistent matrices - nearly triangular matrix - negatively semidefinite matrix - nonnegatively semidefinite matrix - orthogonally similar matrices - positively definite matrix - positively semidefinite matrix - regularly partitioned matrix - strictly upper triangular matrix - strongly equivalent matrices - totally nonnegative matrix - totally positive matrix - totally unimodular matrix - uniformly tapered matrix - vertex incidence matrix - vertically symmetrical matrix - weakly cyclic matrix -
11 principle
1) правило; принцип2) закон3) начало, первооснова, (перво)источник•- distributed maximum principle - least number principle - principle of adiabatic invariance - principle of contraction mapping - principle of extension of inequalities - principle of fixed point - principle of harmonic balance - principle of harmonic measure - principle of hyperbolic measure - principle of least squares - principle of length and area - principle of mathematical induction - principle of maximum likelihood - principle of point estimation - principle of stationary phase - principle of stochastic balance - principle of transfinite induction - principle of unsufficient reason - virtual work principle - weak likelihood principle -
12 theory
ˈθɪərɪ сущ.
1) теория to advance, present, propose, suggest a theory ≈ предлагать, отстаивать теорию to advocate theory ≈ отстаивать теорию to combine theory and practice ≈ объединять теорию и практику to confirm a theory ≈ подтверждать теорию to develop a theory ≈ развивать теорию to disprove, explode, refute a theory ≈ опровергать, подрывать, разбивать теорию to formulate a theory ≈ формулировать теорию to test a theory ≈ проверять теорию pet theory ≈ излюбленная теория a theory evolves ≈ теория возникает, появляется a theory holds up ≈ теория подтверждается in theory ≈ в теории, теоретически In theory their plan makes sense. ≈ Теоретически их план имеет смысл. on a theory ≈ согласно теории They proceeded on the theory that the supplies would arrive on time. ≈ Они исходили из предположения, что припасы прибудут вовремя. She has a theory that drinking milk prevents colds. ≈ У нее была теория, что если будешь пить молоко, то не заболеешь. scientific theory game theory information theory political theory quantum theory systems theory big bang steady state theory theory of relativity numbers theory
2) разг. предположение теория;
- сoherent * последовательная теория - social-science theories социологические теории - general relativity * общая теория относительности - * of evolution теория эволюции - essays in * теоретические очерки - to formulate a * сформулировать теорию - to put forward a new * выдвинуть новую теорию - the theories that have sprung up in recent years теории, появившиеся в последние годы - the * of economic integration has made rapid strides теория экономической интеграции быстро развивалась (математика) раздел( математики), теория - game * туория игр - * of similarity теория подобия - the * of numbers теория чисел( разговорное) предположение, догадка;
особое мнение, взгляд - to have a * полагать - what's your * of the case? что вы думаете по этому поводу? - my * is that he is lying я думаю, что он лжет - my * has been amply born out моя точка зрения полностью подтвердилась теоретические правила, основы - the * of education теоретические основы воспитания без артикля: абстрактные, теоретические знания - * and practice теория и практика - in * в теории;
теоретически, абстрактно, отвлеченно - your plan is good in * вообще ваш план неплох applied decision ~ прикладная теория принятия решений automata ~ теория автоматов axiomatic ~ аксиоматическая теория communication ~ теория связи deterrence ~ теория устрашения expectation ~ теория вероятностей game ~ теория игр graph ~ теория графов theory разг. предположение;
to have a theory that... полагать, что... hemline ~ бирж. теория "длины дамских юбок" (шуточная теория о том, что цены акций движутся в одном направлении с длиной дамских юбок) information ~ теория информации intimidation ~ теория устрашения legal ~ правовая теория linear programming ~ теория линейного программирования liquidity preference ~ теория предпочтения ликвидности logic ~ матлогика logical ~ логическая теория nonlinearized ~ нелинейная теория ~ теория;
numbers theory теория чисел operations research ~ теория исследования операций optimal control ~ оптимальная теория управления optimization ~ теория оптимизации price ~ полит.эк. теория цен probabilistic decision ~ вероятностная теория принятия решений probability ~ теория вероятностей queueing ~ стат. теория массового обслуживания queueing ~ теория массового обслуживания representation ~ теория представлений sampling ~ теория выборочного метода theory разг. предположение;
to have a theory that... полагать, что... ~ теоретические основы ~ теоретические правила ~ теория;
numbers theory теория чисел ~ теория ~ of large samples теория больших выборок ~ of law теория права ~ of matrices теория матриц ~ of programming вчт. теория программирования ~ of queues стат. теория массового обслуживания ~ of random processes теория случайных процессов ~ of sets теория множеств ~ of statistical decision теория статистических решений ~ of stochastic processes теория случайных процессов ~ of testing hypothesis теория проверки гипотез ~ of time series теория временных рядов ~ of wages теория заработной платы ~ of waiting lines теория массового обслуживания ~ of weighted smoothing теория взвешенного сглаживания waiting line ~ стат. теория массового обслуживания -
13 relation
1) отношение; соотношение2) (взаимо)связь; зависимость•-
adjunct relation
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arbitrary relation
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associative relation
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binary relation
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direct relation
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dispersion relation
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elastic stress-strain relation
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force-separation relation
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functional relation
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hardening temperature-hardness relation
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inverse relation
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logical relation
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numerical relation
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one-to-one relation
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ordering relation
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order relation
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ordinal relation
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precedence relation
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precipitation-runoff relation
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preference relation
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preference-indifference relation
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reciprocity relation
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similarity relation
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stage-discharge relation
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thermodynamic relation
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viscosity-temperature relation -
14 अनुमानम् _anumānam
अनुमानम् 1 Inferring as the instrument of an अनुमिति, conclusion; from given premises; an inference, conclusion, one of the four means of obtaining know- ledge according to the Nyāya system; (अनुमितिकरणमनुमानं तच्च धूमो वह्निव्याप्य इति व्याप्तिज्ञानम्. It is of two kinds स्वार्था- नुमानम् & परार्थानुमानम्); प्रत्यक्षं चानुमानं च शास्त्रं च विविधागमम् । त्रयं सुविदितं कार्यं धर्मशुद्धिमभीप्सता ॥ Ms.12.15.-2 A guess, conjecture, sign to know; इङ्गितैरनुमानैश्च मया ज्ञैया भविष्यति Rām.-3 Analogy, similarity; आत्मनो हृदयानुमानेन प्रेक्षसे Ś.5 you judge (of others) by the analogy of your own heart; स्वानुमानात्कादम्बरीमुत्प्रेक्ष्य K.35.-4 (In Rhet.) A figure which consists in a notion, expressed in a peculiarly striking manner, of a thing established by proof; S. D.711; यत्र पतत्यबलानां दृष्टिर्निशिताः पतन्ति तत्र शराः । तच्चापरोपितशरो धावत्यासां पुरः स्मरो मन्ये ॥ अनुमानं तदुक्तं यत्साध्यसाधनयोर्वचः K. P.1.-Comp. -उक्ति f. reasoning; logical inference. -
15 simile
an imaginative comparison of two unlike objects belonging to two different classes on the grounds of similarity of some qualityThe one which is compared is called the tenor, the one with which it is compared, is called the vehicle. The tenor and the vehicle form the two semantic poles of the simile, which are connected by one of the following link words: "like", "as", "as though", "as if", "as like", "such as", "as... as", etc.She is like a rose.
He stood immovable like a rock in a torrent. (J.Reed)
His muscles are hard as rock. (T.Capote)
The conversation she began behaved like green logs: they fumed but would not fire. (T.Capote)
Source: V.A.K.••characterisation of one object by bringing it into contact with another object belonging to an entirely different class of things- excludes all the properties of the two objects except one which is made common to them;- forcibly set one object against another regardless of the fact that they may be completely alien to each other;Maidens, like moths, are ever caught by glare. (Byron)
Other words live but a short time and are like bubbles on the surface of water - they disappear leaving no trace of their existence. (I.R.G)
His mind was restless, but it worked perversely and thoughts jerked through his brain like the misfirings of a defective carburettor. (S.Maugham)
It was that moment of the year when the countryside seems to faint from its own loveliness, from the intoxication of tis scents and sounds. (J.Galsworthy)
Source: I.R.G.Compare: logical comparisonEnglish-Russian dictionary of stylistics (terminology and examples) > simile
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16 criterion
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17 relation
1) зависимость, (взаимо)связь2) отношение; соотношение4) геол. условия залегания•- almost universal relation - cause-effect relation - generalized semigroup relation - logically irreducible relation - parametrically definable relation - partial ordering relation - recursively enumerable relation - recursively invariant relation - recursively representable relation - strongly definable relation - weakly symmetric relation -
18 variable
1) переменная (величина) || переменный2) изменчивый3) изменяемый; варьируемый4) регулируемый•variable unrestricted in sign — переменная, не ограниченная в знаке
- absolutely integrable variable - anonymous free variable - complex free variable - complex random variable - discontinuous variable - discrete random variable - discrete variable variable - discrete variable - essentially free variable - excessive random variable - exchangeable random variables - generalized random variable - geometric random variable - infinitesimal random variable - jointly normal random variables - linguistic random variable - multinomial random variable - multinormal random variable - multiplicative random variable - mutually independent random variables - nonanticipative random variable - normed random variable - number variable - optimal stopping variable - orthonormal random variables - pairwise independent random variables - spatial variable - symmetrized random variable - two-state variable - two-valued variable - uniformly limited variableto separate variables — мат. разделять переменные
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19 Language
Philosophy is written in that great book, the universe, which is always open, right before our eyes. But one cannot understand this book without first learning to understand the language and to know the characters in which it is written. It is written in the language of mathematics, and the characters are triangles, circles, and other figures. Without these, one cannot understand a single word of it, and just wanders in a dark labyrinth. (Galileo, 1990, p. 232)It never happens that it [a nonhuman animal] arranges its speech in various ways in order to reply appropriately to everything that may be said in its presence, as even the lowest type of man can do. (Descartes, 1970a, p. 116)It is a very remarkable fact that there are none so depraved and stupid, without even excepting idiots, that they cannot arrange different words together, forming of them a statement by which they make known their thoughts; while, on the other hand, there is no other animal, however perfect and fortunately circumstanced it may be, which can do the same. (Descartes, 1967, p. 116)Human beings do not live in the object world alone, nor alone in the world of social activity as ordinarily understood, but are very much at the mercy of the particular language which has become the medium of expression for their society. It is quite an illusion to imagine that one adjusts to reality essentially without the use of language and that language is merely an incidental means of solving specific problems of communication or reflection. The fact of the matter is that the "real world" is to a large extent unconsciously built on the language habits of the group.... We see and hear and otherwise experience very largely as we do because the language habits of our community predispose certain choices of interpretation. (Sapir, 1921, p. 75)It powerfully conditions all our thinking about social problems and processes.... No two languages are ever sufficiently similar to be considered as representing the same social reality. The worlds in which different societies live are distinct worlds, not merely the same worlds with different labels attached. (Sapir, 1985, p. 162)[A list of language games, not meant to be exhaustive:]Giving orders, and obeying them- Describing the appearance of an object, or giving its measurements- Constructing an object from a description (a drawing)Reporting an eventSpeculating about an eventForming and testing a hypothesisPresenting the results of an experiment in tables and diagramsMaking up a story; and reading itPlay actingSinging catchesGuessing riddlesMaking a joke; and telling itSolving a problem in practical arithmeticTranslating from one language into anotherLANGUAGE Asking, thanking, cursing, greeting, and praying-. (Wittgenstein, 1953, Pt. I, No. 23, pp. 11 e-12 e)We dissect nature along lines laid down by our native languages.... The world is presented in a kaleidoscopic flux of impressions which has to be organized by our minds-and this means largely by the linguistic systems in our minds.... No individual is free to describe nature with absolute impartiality but is constrained to certain modes of interpretation even while he thinks himself most free. (Whorf, 1956, pp. 153, 213-214)We dissect nature along the lines laid down by our native languages.The categories and types that we isolate from the world of phenomena we do not find there because they stare every observer in the face; on the contrary, the world is presented in a kaleidoscopic flux of impressions which has to be organized by our minds-and this means largely by the linguistic systems in our minds.... We are thus introduced to a new principle of relativity, which holds that all observers are not led by the same physical evidence to the same picture of the universe, unless their linguistic backgrounds are similar or can in some way be calibrated. (Whorf, 1956, pp. 213-214)9) The Forms of a Person's Thoughts Are Controlled by Unperceived Patterns of His Own LanguageThe forms of a person's thoughts are controlled by inexorable laws of pattern of which he is unconscious. These patterns are the unperceived intricate systematizations of his own language-shown readily enough by a candid comparison and contrast with other languages, especially those of a different linguistic family. (Whorf, 1956, p. 252)It has come to be commonly held that many utterances which look like statements are either not intended at all, or only intended in part, to record or impart straightforward information about the facts.... Many traditional philosophical perplexities have arisen through a mistake-the mistake of taking as straightforward statements of fact utterances which are either (in interesting non-grammatical ways) nonsensical or else intended as something quite different. (Austin, 1962, pp. 2-3)In general, one might define a complex of semantic components connected by logical constants as a concept. The dictionary of a language is then a system of concepts in which a phonological form and certain syntactic and morphological characteristics are assigned to each concept. This system of concepts is structured by several types of relations. It is supplemented, furthermore, by redundancy or implicational rules..., representing general properties of the whole system of concepts.... At least a relevant part of these general rules is not bound to particular languages, but represents presumably universal structures of natural languages. They are not learned, but are rather a part of the human ability to acquire an arbitrary natural language. (Bierwisch, 1970, pp. 171-172)In studying the evolution of mind, we cannot guess to what extent there are physically possible alternatives to, say, transformational generative grammar, for an organism meeting certain other physical conditions characteristic of humans. Conceivably, there are none-or very few-in which case talk about evolution of the language capacity is beside the point. (Chomsky, 1972, p. 98)[It is] truth value rather than syntactic well-formedness that chiefly governs explicit verbal reinforcement by parents-which renders mildly paradoxical the fact that the usual product of such a training schedule is an adult whose speech is highly grammatical but not notably truthful. (R. O. Brown, 1973, p. 330)he conceptual base is responsible for formally representing the concepts underlying an utterance.... A given word in a language may or may not have one or more concepts underlying it.... On the sentential level, the utterances of a given language are encoded within a syntactic structure of that language. The basic construction of the sentential level is the sentence.The next highest level... is the conceptual level. We call the basic construction of this level the conceptualization. A conceptualization consists of concepts and certain relations among those concepts. We can consider that both levels exist at the same point in time and that for any unit on one level, some corresponding realizate exists on the other level. This realizate may be null or extremely complex.... Conceptualizations may relate to other conceptualizations by nesting or other specified relationships. (Schank, 1973, pp. 191-192)The mathematics of multi-dimensional interactive spaces and lattices, the projection of "computer behavior" on to possible models of cerebral functions, the theoretical and mechanical investigation of artificial intelligence, are producing a stream of sophisticated, often suggestive ideas.But it is, I believe, fair to say that nothing put forward until now in either theoretic design or mechanical mimicry comes even remotely in reach of the most rudimentary linguistic realities. (Steiner, 1975, p. 284)The step from the simple tool to the master tool, a tool to make tools (what we would now call a machine tool), seems to me indeed to parallel the final step to human language, which I call reconstitution. It expresses in a practical and social context the same understanding of hierarchy, and shows the same analysis by function as a basis for synthesis. (Bronowski, 1977, pp. 127-128)t is the language donn eґ in which we conduct our lives.... We have no other. And the danger is that formal linguistic models, in their loosely argued analogy with the axiomatic structure of the mathematical sciences, may block perception.... It is quite conceivable that, in language, continuous induction from simple, elemental units to more complex, realistic forms is not justified. The extent and formal "undecidability" of context-and every linguistic particle above the level of the phoneme is context-bound-may make it impossible, except in the most abstract, meta-linguistic sense, to pass from "pro-verbs," "kernals," or "deep deep structures" to actual speech. (Steiner, 1975, pp. 111-113)A higher-level formal language is an abstract machine. (Weizenbaum, 1976, p. 113)Jakobson sees metaphor and metonymy as the characteristic modes of binarily opposed polarities which between them underpin the two-fold process of selection and combination by which linguistic signs are formed.... Thus messages are constructed, as Saussure said, by a combination of a "horizontal" movement, which combines words together, and a "vertical" movement, which selects the particular words from the available inventory or "inner storehouse" of the language. The combinative (or syntagmatic) process manifests itself in contiguity (one word being placed next to another) and its mode is metonymic. The selective (or associative) process manifests itself in similarity (one word or concept being "like" another) and its mode is metaphoric. The "opposition" of metaphor and metonymy therefore may be said to represent in effect the essence of the total opposition between the synchronic mode of language (its immediate, coexistent, "vertical" relationships) and its diachronic mode (its sequential, successive, lineal progressive relationships). (Hawkes, 1977, pp. 77-78)It is striking that the layered structure that man has given to language constantly reappears in his analyses of nature. (Bronowski, 1977, p. 121)First, [an ideal intertheoretic reduction] provides us with a set of rules"correspondence rules" or "bridge laws," as the standard vernacular has it-which effect a mapping of the terms of the old theory (T o) onto a subset of the expressions of the new or reducing theory (T n). These rules guide the application of those selected expressions of T n in the following way: we are free to make singular applications of their correspondencerule doppelgangers in T o....Second, and equally important, a successful reduction ideally has the outcome that, under the term mapping effected by the correspondence rules, the central principles of T o (those of semantic and systematic importance) are mapped onto general sentences of T n that are theorems of Tn. (P. Churchland, 1979, p. 81)If non-linguistic factors must be included in grammar: beliefs, attitudes, etc. [this would] amount to a rejection of the initial idealization of language as an object of study. A priori such a move cannot be ruled out, but it must be empirically motivated. If it proves to be correct, I would conclude that language is a chaos that is not worth studying.... Note that the question is not whether beliefs or attitudes, and so on, play a role in linguistic behavior and linguistic judgments... [but rather] whether distinct cognitive structures can be identified, which interact in the real use of language and linguistic judgments, the grammatical system being one of these. (Chomsky, 1979, pp. 140, 152-153)23) Language Is Inevitably Influenced by Specific Contexts of Human InteractionLanguage cannot be studied in isolation from the investigation of "rationality." It cannot afford to neglect our everyday assumptions concerning the total behavior of a reasonable person.... An integrational linguistics must recognize that human beings inhabit a communicational space which is not neatly compartmentalized into language and nonlanguage.... It renounces in advance the possibility of setting up systems of forms and meanings which will "account for" a central core of linguistic behavior irrespective of the situation and communicational purposes involved. (Harris, 1981, p. 165)By innate [linguistic knowledge], Chomsky simply means "genetically programmed." He does not literally think that children are born with language in their heads ready to be spoken. He merely claims that a "blueprint is there, which is brought into use when the child reaches a certain point in her general development. With the help of this blueprint, she analyzes the language she hears around her more readily than she would if she were totally unprepared for the strange gabbling sounds which emerge from human mouths. (Aitchison, 1987, p. 31)Looking at ourselves from the computer viewpoint, we cannot avoid seeing that natural language is our most important "programming language." This means that a vast portion of our knowledge and activity is, for us, best communicated and understood in our natural language.... One could say that natural language was our first great original artifact and, since, as we increasingly realize, languages are machines, so natural language, with our brains to run it, was our primal invention of the universal computer. One could say this except for the sneaking suspicion that language isn't something we invented but something we became, not something we constructed but something in which we created, and recreated, ourselves. (Leiber, 1991, p. 8)Historical dictionary of quotations in cognitive science > Language
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