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L E J Brouwer Inspirational Quotes (6)

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Alas, the spheres of truth are less transparent than those of illusion.
L. E. J. Brouwer
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The subject for which I am asking your attention deals with the foundations of mathematics. To understand the development of the opposing theories existing in this field one must first gain a clear understnding of the concept science for it is as a part of science that mathematics originally took its place in human thought.
L. E. J. Brouwer
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Oil is seldom found where it is most needed, and seldom most needed where it is found.
L. E. J. Brouwer
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...an incorrect theory, even if it cannot be inhibited by any contradiction that would refute it, is none the less incorrect, just as a criminal policy is none the less criminal even if it cannot be inhibited by any court that would curb it.
L. E. J. Brouwer
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Mathematics is nothing more, nothing less, than the exact part of our thinking.
L. E. J. Brouwer
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Beyond the natural numbers, addition, multiplication, and mathematical induction are intuitively clear.
L. E. J. Brouwer