"Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point of constraint and freedom that is the very essence of human nature." — Hermann Weyl (via @johncarlosbaez )
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"We cannot help the feeling that certain mathematical structures which have evolved through the combined efforts of the mathematical community bear the stamp of a necessity not affected by the accidents of their historical birth." (3/3)
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My favorite Weyl quote is that "... this house [of mathematical analysis] is to a large degree built on sand." Still a valid criticism and an advice not to build on ungrounded assumptions even if it is just mathematics.
End of conversation
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