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1 Mathematics
The world of mathematics, which you contemn, is really a beautiful world; it has nothing to do with life and death and human sordidness, but is eternal, cold and passionless. To me pure mathematics is one of the highest forms of art; it has a sublimity quite special to itself, and an immense dignity derived from the fact that its world is exempt from change and time. I am quite serious in this....athematics is the only thing we know of that is capable of perfection; in thinking about it we become Gods. (Russell [to Helen Thomas, 30 December 1901], 1992, Letter No. 98, p. 224)One of the deepest problems of nature is the success of mathematics as a language for describing and discovering features of physical reality. In short, why does mathematics work?...We humans have stripped back the clouds that cloak our understanding of our cosmic beginning and our current persistence to the stage that exposes the mathematical structure of the world more clearly than it has ever been observed before.... Furthermore, the attention of seriously equipped thinkers, those thinkers we call scientists, is at last beginning to turn to that other great conundrum of being: consciousness.... If we can understand why that supreme construct of the human intellect, that archdisembodiment of intellect, mathematics, works as a description of the world, then maybe we shall have an insight into cognition....The name deep structuralism is intended to convey the idea that the physical world has the same logical structure as mathematics. By implication, the reason why mathematics works as a description of physical reality is that they share the same logical structure.... By weak deep structuralism I shall mean that mathematics and physical reality merely share the same logical structure and mathematics is a mirror that can be held up to nature. By strong deep structuralism I shall mean that mathematics and physical reality do not merely share the same logical structure but are actually the same. In other words, according to the hypothesis of strong deep structuralism, physical reality is mathematics and mathematics is physical reality.... The reason why we may be conscious of the world, including the inner, introspective world of emotion and intellect, may be that our brains are material portrayals of the same deep structure. That may also be the reason why brains can generate the mathematics that we need to comprehend the world. (Atkins, 1992, pp. 99-101, 109-111)Historical dictionary of quotations in cognitive science > Mathematics
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2 быть также известным под названием
Mathematics: be also known by the name, be also known under the nameУниверсальный русско-английский словарь > быть также известным под названием
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3 обозначим ещё R=max
Mathematics: ( a1, a2, (...),an) let us also set R=max (a1, a2, (...),an), let us also set R=max (a1, a2, (...),an; a1, a2, (...),an)Универсальный русско-английский словарь > обозначим ещё R=max
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4 Независимо от детального знания решений
Mathematics: Apart from detailed knowledge of the solutions (it is also essential to know...)Универсальный русско-английский словарь > Независимо от детального знания решений
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5 будем также предполагать
Mathematics: we shall also assumeУниверсальный русско-английский словарь > будем также предполагать
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6 верно также и обратное
Mathematics: the converse is also true (утверждение)Универсальный русско-английский словарь > верно также и обратное
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7 если u=1 аппроксимируется достаточно хорошо, то и суперпозиция u (v) также аппроксимируется (...)
Mathematics: when u =1 is approximated closely, the composition u (v) is also approximated (...)Универсальный русско-английский словарь > если u=1 аппроксимируется достаточно хорошо, то и суперпозиция u (v) также аппроксимируется (...)
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8 задача (1) также решается элементарно
Mathematics: the problem (1) is also solved in an elementary wayУниверсальный русско-английский словарь > задача (1) также решается элементарно
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9 искомые неизвестные
Mathematics: the unknowns (x, y can also be obtained using a simple recalculation in terms...)Универсальный русско-английский словарь > искомые неизвестные
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10 могут быть также получены, используя
Mathematics: (the unknowns x, y) can also be obtained using (a simple recalculation in terms...)Универсальный русско-английский словарь > могут быть также получены, используя
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11 можно сказать и обратное
Mathematics: the reverse statement can also be madeУниверсальный русско-английский словарь > можно сказать и обратное
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12 можно также немедленно проверить, что
Универсальный русско-английский словарь > можно также немедленно проверить, что
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13 мы будем также использовать следующее обозначение
Mathematics: we shall also make use of the notationУниверсальный русско-английский словарь > мы будем также использовать следующее обозначение
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14 наряду с детальным знанием (решений)
Mathematics: apart from detailed knowledge of (the solutions, it is also essential to know for what range of loads existence and uniqueness of the solution can be guaranteed)Универсальный русско-английский словарь > наряду с детальным знанием (решений)
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15 натуральные числа
Mathematics: natural numbers are also known as counting numbers -
16 наши аргументы в пользу (...)
Mathematics: our argument in favor of a modification of the classical potential in the direction envisaged here may also be (...)Универсальный русско-английский словарь > наши аргументы в пользу (...)
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17 наши аргументы в пользу модификации (...)
Mathematics: our argument in favor of a modification of the classical potential in the direction envisaged here may also be (...)Универсальный русско-английский словарь > наши аргументы в пользу модификации (...)
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18 не только... но и
Mathematics: not only... but also -
19 независимо от детального знания решений
Mathematics: Apart from detailed knowledge of the solutions (it is also essential to know...)Универсальный русско-английский словарь > независимо от детального знания решений
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20 обозначим ещё R=max ( a1 , a2 , (...) ,an)
Mathematics: let us also set R =max (a1, a2, (...),an)Универсальный русско-английский словарь > обозначим ещё R=max ( a1 , a2 , (...) ,an)
См. также в других словарях:
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