Bulletin of Symbolic Logic
- Bull. Symbolic Logic
- Volume 19, Issue 3 (2013), 289-317.
Interpretability in Robinson's Q
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.
Bull. Symbolic Logic Volume 19, Issue 3 (2013), 289-317.
First available in Project Euclid: 6 January 2014
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Ferreira, Fernando; Ferreira, Gilda. Interpretability in Robinson's Q. Bull. Symbolic Logic 19 (2013), no. 3, 289--317. doi:10.2178/bsl.1903010. https://projecteuclid.org/euclid.bsl/1389017495