On the consistency of a slight (?) modification of Quine’s ’New Foundations’. (English) Zbl 0202.01001

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[1] A. Ehrenfeucht, and A. Mostowski, ?Models of Axiomatic Theories admitting Automorphism?,Fundamenta Mathematica 43 (1956) 50-68. · Zbl 0073.00704
[2] P. Erdös, and R. Rado, ?A Partition Calculus in Set Theory?,Bulletin of the American Mathematical Society 62 (1956) 427-488. · Zbl 0071.05105
[3] Th. Hailperin, ?A Set of Axioms for Logic?,Journal of Symbolic Logic 9 (1944) 1-19. · Zbl 0060.02201
[4] G. Kreisel, and Hao Wang, ?Some Applications of Formalized Consistency Proofs?,Fundamenta Mathematica 42 (1955) 101-110. · Zbl 0067.25201
[5] W. V. Quine, ?New Foundations for Mathematical Logic?, reprinted inFrom a Logical Point of View, Harvard Univ. Press, Cambridge, Mass., 1953.
[6] F. Ramsey, ?On a Problem of Formal Logic?, reprinted inThe Foundations of Mathematics, Kegan Paul, London, 1931.
[7] E. Specker, ?The Axiom of Choice in Quine’s ?New Foundations for Mathematical Logic??,Proceedings of the National Academy of Sciences, U.S.A. 29 (1953) 366-368. · Zbl 0051.03705
[8] E. Specker, ?Typical Ambiguity in Logic?,Methodology and Philosophy of Science. Proceedings of the 1960 International Congress (ed. by E. Nagel, P. Suppes and A. Tarski), Stanford University Press, 1962, pp. 116-123.
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