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"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."

— Johann Wolfgang von Goethe
johann wolfgang von goethe Quotes Formulas,Conclusion,Mathematical

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Johann Wolfgang von Goethe
Formulas
Conclusion
Mathematical
Mathematics
Nothing New
Goes On
Reputation
Fades
Infallible
Infallibility

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After five years' work I allowed myself to speculate on the subject, and drew up some short notes; these I enlarged in 1844 into a sketch of the conclusions, which then seemed to me probable: from that period to the present day I have steadily pursued the same object. I hope that I may be excused for entering on these personal details, as I give them to show that I have not been hasty in coming to a decision.‎

— Charles Darwin

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