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|Finiteness||Arend Heyting Ein Streitgespräch 1956 in Kursbuch 8 Mathematik 1967
Finiteness/Heyting: What the finitist denies in intuitionism is the notion that mathematics has something to do with the infinite.
Intuitionism: of course, its extreme finiteness guarantees maximum security. Every student, however, understands the natural numbers and can see that they go on infinitely.
Letter: That he understands it, is suggested to him.
Intuitionism: this is not an objection, because communication with language can always be regarded as a suggestion. Euclid also knew what he was talking about when he proved that the set of prime numbers is infinite.