Bulletin of Symbolic Logic

Interpretability in Robinson's Q

Fernando Ferreira and Gilda Ferreira

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Abstract

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.

Article information

Source
Bull. Symbolic Logic, Volume 19, Issue 3 (2013), 289-317.

Dates
First available in Project Euclid: 6 January 2014

Permanent link to this document
https://projecteuclid.org/euclid.bsl/1389017495

Digital Object Identifier
doi:10.2178/bsl.1903010

Mathematical Reviews number (MathSciNet)
MR3134895

Zentralblatt MATH identifier
1325.03072

Citation

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


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