Abstract
The interpretation of Second-Order Peano Arithmetic is now complete. As pointed out in Chapter 36, this is also an interpretation of a formal theory of analysis containing variables for real numbers, the axioms for a complete ordered field, and classical predicate calculus. Real numbers are present in this system in all their impredicative glory, due to the Comprehension Axiom Schema of 2PA.
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© 1998 Springer Science+Business Media Dordrecht
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Fletcher, P. (1998). Conclusions on Analysis. In: Truth, Proof and Infinity. Synthese Library, vol 276. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3616-9_49
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DOI: https://doi.org/10.1007/978-94-017-3616-9_49
Publisher Name: Springer, Dordrecht
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