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Interpretability in Robinson's Q
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Orientador(es)
Resumo(s)
Edward Nelson published in 1986 a book defending an extreme formalist view of
mathematics according to which there is an impassable barrier in the totality of exponentiation.
On the positive side, Nelson embarks on a program of investigating how much mathematics can
be interpreted in Raphael Robinson’s theory of arithmetic Q. In the shadow of this program,
some very nice logical investigations and results were produced by a number of people, not only
regarding what can be interpreted in Q but also what cannot be so interpreted. We explain some
of these results and rely on them to discuss Nelson’s position.
Descrição
Palavras-chave
Robinson's Q Weak theory of arithmetic Interpretability in Q Bounded theory