Journal of Symbolic Logic 64 (2):486-488 (1999)

John L. Bell
University of Western Ontario
then E has a subset which is the domain of a model of Peano's axioms for the natural numbers. (This result is proved explicitly, using classical reasoning, in section 3 of [1].) My purpose in this note is to strengthen this result in two directions: first, the premise will be weakened so as to require only that the map ν be defined on the family of (Kuratowski) finite subsets of the set E, and secondly, the argument will be constructive, i.e., will involve no use of the law of excluded middle. To be precise, we will prove, in constructive (or intuitionistic) set theory3, the following..
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DOI 10.2307/2586481
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Speaking with Shadows: A Study of Neo-Logicism.Fraser MacBride - 2003 - British Journal for the Philosophy of Science 54 (1):103-163.
Frege Meets Brouwer.Stewart Shapiro & Øystein Linnebo - 2015 - Review of Symbolic Logic 8 (3):540-552.
Finite Sets and Frege Structures.John L. Bell - 1999 - Journal of Symbolic Logic 64 (4):1552-1556.

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