"It remains to discuss briefly what general requirements may be justly laid down for the solution of a mathematical problem. I should say first of all, this: that it shall be possible to establish the correctness of the solution by means of a finite number of steps based upon a finite number of hypotheses which are implied in the statement of the problem and which must always be exactly formulated. This requirement of logical deduction by means of a finite number of processes is simply the requirement of rigor in reasoning."
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David Hilbert, Mathematical Problems (1900) address, International Congress of Mathematicians at Paris, Tr. Maby Winton Newson, Bulletin of the American Mathematical Society 8 (1902)
https://en.wikiquote.org/wiki/Foundations_of_mathematics
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Foundations of mathematics
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