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Mathematics Quotes

Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy’s main source of problems. That is why it is of the utmost importance to examine attentively the very words we use Picture Quote #1

Mathematics may be a way of developing physically, that is anatomically, new connections in the brain Picture Quote #1

I read one or two other books which gave me a background in mathematics other than logic Picture Quote #1

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs Picture Quote #1

An early fascination with higher mathematics at the university level blossomed into speculative thinking that could provide a basis for dealing with economic issues Picture Quote #1

When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas and truths until the primary ones are reached. It is this way that in mathematics speculative theorems and practical canons are reduced by analysis to definitions, axioms and postulates Picture Quote #1

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I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about Picture Quote #1

The definition of a good mathematical problem is the mathematics it generates rather than the problem itself Picture Quote #1

We’ve lost something that’s been with us for so long, and something that drew a lot of us into mathematics. But perhaps that’s always the way with math problems, and we just have to find new ones to capture our attention Picture Quote #1

The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. We should be grateful for it and hope that it will remain valid in future research and that it will extend, for better or for worse, to our pleasure, even though perhaps also to our bafflement, to wide branches of learning Picture Quote #1

I don’t agree with mathematics; the sum total of zeros is a frightening figure Picture Quote #1

Even stranger things have happened; and perhaps the strangest of all is the marvel that mathematics should be possible to a race akin to the apes Picture Quote #1

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To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas Picture Quote #1

In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure Picture Quote #1

Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting Picture Quote #1

Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality Picture Quote #1

In my youth it was said that what was too silly to be said may be sung. In modern economics it may be put into mathematics Picture Quote #1

There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world Picture Quote #1

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Being a language, mathematics may be used not only to inform but also, among other things, to seduce Picture Quote #1

Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week Picture Quote #1

If a lunatic scribbles a jumble of mathematical symbols it does not follow that the writing means anything merely because to the inexpert eye it is indistinguishable from higher mathematics Picture Quote #1

I am too good for philosophy and not good enough for physics. Mathematics is in between Picture Quote #1

There is much of economic theory which is pursued for no better reason than its intellectual attraction; it is a good game. We have no reason to be ashamed of that, since the same would hold for many branches of mathematics Picture Quote #1

I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium and symptoms of schizophrenia Picture Quote #1

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To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls Picture Quote #1

Abstractness, sometimes hurled as a reproach at mathematics, is its chief glory and its surest title to practical usefulness. It is also the source of such beauty as may spring from mathematics Picture Quote #1

Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty Picture Quote #1

There are a multitude of allied branches of knowledge connected with mans condition; the relation of these to political economy is analogous to the connexion of mechanics, astronomy, optics, sound, heat, and every other branch more or less of physical science, with pure mathematics Picture Quote #1

Cryptography shifts the balance of power from those with a monopoly on violence to those who comprehend mathematics and security design Picture Quote #1

Strange as it may sound, the power of mathematics rests on its evasion of all unnecessary thought and on its wonderful saving of mental operations Picture Quote #1

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Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy’s main source of problems. That is why it is of the utmost importance to examine attentively the very words we use (Mathematics Quotes) Mathematics may be a way of developing physically, that is anatomically, new connections in the brain (Mathematics Quotes) I read one or two other books which gave me a background in mathematics other than logic (Mathematics Quotes) Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs (Mathematics Quotes) An early fascination with higher mathematics at the university level blossomed into speculative thinking that could provide a basis for dealing with economic issues (Mathematics Quotes) When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas and truths until the primary ones are reached. It is this way that in mathematics speculative theorems and practical canons are reduced by analysis to definitions, axioms and postulates (Mathematics Quotes) I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about (Mathematics Quotes) The definition of a good mathematical problem is the mathematics it generates rather than the problem itself (Mathematics Quotes) We’ve lost something that’s been with us for so long, and something that drew a lot of us into mathematics. But perhaps that’s always the way with math problems, and we just have to find new ones to capture our attention (Mathematics Quotes) The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. We should be grateful for it and hope that it will remain valid in future research and that it will extend, for better or for worse, to our pleasure, even though perhaps also to our bafflement, to wide branches of learning (Mathematics Quotes) I don’t agree with mathematics; the sum total of zeros is a frightening figure (Mathematics Quotes) Even stranger things have happened; and perhaps the strangest of all is the marvel that mathematics should be possible to a race akin to the apes (Mathematics Quotes) To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas (Mathematics Quotes) In most sciences one generation tears down what another has built and what one has established another undoes. In mathematics alone each generations adds a new story to the old structure (Mathematics Quotes) Mathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting (Mathematics Quotes) Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality (Mathematics Quotes) In my youth it was said that what was too silly to be said may be sung. In modern economics it may be put into mathematics (Mathematics Quotes) There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world (Mathematics Quotes) Being a language, mathematics may be used not only to inform but also, among other things, to seduce (Mathematics Quotes) Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week (Mathematics Quotes) If a lunatic scribbles a jumble of mathematical symbols it does not follow that the writing means anything merely because to the inexpert eye it is indistinguishable from higher mathematics (Mathematics Quotes) I am too good for philosophy and not good enough for physics. Mathematics is in between (Mathematics Quotes) There is much of economic theory which is pursued for no better reason than its intellectual attraction; it is a good game. We have no reason to be ashamed of that, since the same would hold for many branches of mathematics (Mathematics Quotes) I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics, delirium and symptoms of schizophrenia (Mathematics Quotes) To isolate mathematics from the practical demands of the sciences is to invite the sterility of a cow shut away from the bulls (Mathematics Quotes) Abstractness, sometimes hurled as a reproach at mathematics, is its chief glory and its surest title to practical usefulness. It is also the source of such beauty as may spring from mathematics (Mathematics Quotes) Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty (Mathematics Quotes) There are a multitude of allied branches of knowledge connected with mans condition; the relation of these to political economy is analogous to the connexion of mechanics, astronomy, optics, sound, heat, and every other branch more or less of physical science, with pure mathematics (Mathematics Quotes) Cryptography shifts the balance of power from those with a monopoly on violence to those who comprehend mathematics and security design (Mathematics Quotes) Strange as it may sound, the power of mathematics rests on its evasion of all unnecessary thought and on its wonderful saving of mental operations (Mathematics Quotes)

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