Lexicon of Arguments

 Philosophical and Scientific Issues in Dispute
 
[german]


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Theses I
Theses II

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I 66
Finiteness/Heyting: what the finitist denies in intuitionism is the notion that mathematics has something to do with the infinite.
>Infinity, >Mathematics.
Intuitionism: of course, its extreme finiteness guarantees maximum security. Every student, however, understands the natural numbers and can see that they go on infinitely.
>Induction, >Numbers.
Letter: that a person understands it, is suggested to him or her.
Intuitionism: this is not an objection, because communication with language can always be regarded as a suggestion.
>Understanding.
Euclid also knew what he was talking about when he proved that the set of prime numbers is infinite.
>Euclide, >Primes.

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