Cahiers du Centre de Logique, vol. 16


Marcel Crabbé and Thomas Forster (eds), Proceedings of the 70th anniversary NF meeting in Cambridge
volume 16 of the Cahiers du Centre de logique, Academia-Bruylant, Louvain-la-Neuve (Belgium), 2009, 171 pages
ISBN 978-2-87209-937-5

This Cahier can be ordered from the publisher Academia-L'Harmattan.


This cahier contains almost all the contributions to the two day meeting, commemorating the 70th year of the publication of Quine's seminal paper "New Foundations for Mathematical Logic", in which he describes for the first time the remarkable set theory NF. It contains also some other contributions which were prompted by this meeting. This meeting follows the 50th meeting held in Oberwolfach in 1987, organized by M. Boffa and E. Specker in the presence of Quine, and the 60th anniversary meeting in Cambridge in 1997. The two first papers are concerned with permutation techniques and unstratified formulae. Next, R. M. Holmes shows a model of type theory wherein all elements are the denotations of closed terms. In the two following articles, M. Crabbé and S. Tupailo show how to export results arising in NF to standard set theory. Then, A. Tzouvaras explores different combinatorial techniques in order to reduce the consistency problem of NF. The cahier ends with T. E. Forster, "A tutorial on constructive NF".

Table of contents

Dang, H. V.
McKenzie, Z.

A permutation method yielding models of the stratified axioms of Zermelo Fraenkel set theory

cover p. 4

Forster, T. E.
Holmes, M. R.

Permutation methods in NF and NFU


Holmes, M. R.

There is a Forster term model of simple type theory


Crabbé, M.

Ambiguous cardinals


Tupailo, S.

NF and indiscernibles in ZF


Tzouvaras, A.

Combinatorics related to NF consistency


Forster, T. E.

A tutorial on constructive NF



17 l 15 l 14 l 13 l 12 l 11 l 10 l 9 l 8 l 7 l 6 l 5 l 4 l 3 l 2 l 1




September 14, 2009