A.N. Kolmogorov
Born
in Tambov, Russian Empire
April 25, 1903
Died
October 20, 1987
Genre
Influences
More books by A.N. Kolmogorov…
“At any moment there is only a fine layer between the 'trivial' and the impossible. Mathematical discoveries are made in this layer.”
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“The most common issue from this difficulty among mathematicians that avoid philosophy is limitation of the domain of “existence”. [. . . ]. This position — though the most placid one — suffers from unprincipledness, which is expressed most evidently in the fact that bounds of what each mathematician is “ready to admit” depend on his personal interests.”
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“The fact that I have solved a problem is a purely subjective fact that in itself has as yet no general interest. However, the logical and mathematical problems possess the special property of the general validity of their solutions: If I have solved a logical or a mathematical problem, then I can present this solution in a way that is intelligible to all and it is necessary that it be recognized as a correct solution although this necessity has to a certain extent an ideal character, for it presupposes a sufficient intelligence on the part of the listener.”
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