quotes about Finite Number
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Definitions must contain the means of reaching a decision in a finite number off steps, and existence proofs must be conducted so that the quantity in question can be calculated with any degree of accuracy.
-- Leopold Kronecker -
Euclid manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does.
-- Lucio RussoSource : "The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn". Book by Lucio Russo, 2004.