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Inequivalence of the fragments of New Foundations. (English) Zbl 0468.03034

MSC:

03E70 Nonclassical and second-order set theories
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References:

[1] Boffa, M., Crabbé, M.: Les théorèmes 3-stratifiés deNF 3. Comptes Rendus de l’Académie des Sciences de Paris280, 1657–1658 (1975).
[2] Grisin, V.N.: Consistency of a fragment of quine’sNF system. Soviet Math. Dokl.10, 1387–1390 (1969).
[3] Grisin, V.N.: The method of stratification in set theory. Academy of Science of the USSR, Moscow 1973.
[4] Oswald, U.: Fragmente von ”New Foundations” und Typentheorie, mimeographed. Swiss Federal Institute of Technology, Zürich 1976.
[5] Quine, W.V.: New foundations for mathematical logic. Am. Math. Monthly44, 70–80 (1937). · Zbl 0016.19301
[6] Specker, E.P.: Typical ambiguity, pp. 116–124. Proceedings of the 1960 Congress of Logic, Methodology and Philosophy of Science, Stanford 1962. · Zbl 0156.02101
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