Philosophy Lexicon of Arguments

Author Item Excerpt Meta data
Heyting, A.
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Finiteness Arend Heyting Ein StreitgesprÃĪch 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.
Heyting, A.

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Ed. Martin Schulz, access date 2017-04-24