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Relating Quine's NF to Feferman's EM

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Abstract

We show that, if non-uniform impredicative stratified comprehension is assumed, Feferman's theories of explicit mathematics are consistent with a strong power type axiom. This result answers a problem, raised by Jäger. The proof relies upon an interpretation into Quine's set theory NF with urelements.

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Authors and Affiliations

  1. Dipartimento di Filosofia, Università di Firenze, via Bolognese 52, I-50139, Firenze, Italy

    Andrea Cantini

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  1. Andrea Cantini
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Cantini, A. Relating Quine's NF to Feferman's EM. Studia Logica 62, 141–162 (1999). https://doi.org/10.1023/A:1026495301622

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  • DOI: https://doi.org/10.1023/A:1026495301622

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