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2010

Nonstandard arithmetic and recursive comprehension

11 years 5 months ago
Nonstandard arithmetic and recursive comprehension
First order reasoning about hyperintegers can prove things about sets of integers. In the author's paper Nonstandard Arithmetic and Reverse Mathematics, Bulletin of Symbolic Logic 12 (2006), it was shown that each of the "big five" theories in reverse mathematics, including the base theory RCA0, has a natural nonstandard counterpart. But the counterpart RCA0 of RCA0 has a defect: it does not imply the Standard Part Principle that a set exists if and only if it is coded by a hyperinteger. In this paper we find another nonstandard counterpart, RCA0 , that does imply the Standard Part Principle.
H. Jerome Keisler
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2010
Where APAL
Authors H. Jerome Keisler
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