Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times … - Johann Wolfgang von Goethe

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It is equally impossible to forget our Friends, and to make them answer to our ideal. When they say farewell, then indeed we beginto keep them company. How often we find ourselves turning our backs on our actual Friends, that we may go and meet their ideal cousins.

Johann Wolfgang von Goethe

Mathematics has the completely false reputation of yielding infallible conclusions. Its infallibility is nothing but identity. Two times two is not four, but it is just two times two, and that is what we call four for short. But four is nothing new at all. And thus it goes on and on in its conclusions, except that in the higher formulas the identity fades out of sight.

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