L. E. J. Brouwer Quotes About Foundation

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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.
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L. E. J. Brouwer

Foundation Attention Asking

3189
One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.
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L. E. J. Brouwer

Essence Mind Foundation

1001

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