Relating Quine's NF to Feferman's EM

Studia Logica 62 (2):141-162 (1999)
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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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Andrea Cantini
Università degli Studi di Firenze

Citations of this work

Explicit mathematics: power types and overloading.Thomas Studer - 2005 - Annals of Pure and Applied Logic 134 (2-3):284-302.

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References found in this work

On ordered pairs.W. V. Quine - 1945 - Journal of Symbolic Logic 10 (3):95-96.
Systems of combinatory logic related to Quine's ‘New Foundations’.M. Randall Holmes - 1991 - Annals of Pure and Applied Logic 53 (2):103-133.
On power set in explicit mathematics.Thomas Glass - 1996 - Journal of Symbolic Logic 61 (2):468-489.

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