×

On the necessary use of abstract set theory. (English) Zbl 0483.03030


MSC:

03E35 Consistency and independence results
03E30 Axiomatics of classical set theory and its fragments
Full Text: DOI

References:

[1] Blass, A., A partition theorem for perfect sets, Proc. Amer. Math. Soc., 82, No. 2, 271-277 (June 1981) · Zbl 0472.03038
[2] Cohen, P. J., The independence of the continuum hypothesis, (Proc. Nat. Acad. Sci. U.S.A., 51 (1964)), 105-110 · Zbl 0182.01301
[3] Friedman, H., Higher set theory and mathematical practice, Ann. Math. Logic, 2, 326-357 (1971) · Zbl 0215.32702
[4] Friedman, H., Borel structures in mathematics, I (August 1979), Ohio State University, unpublished notes
[5] H. Friedman; H. Friedman
[6] Harrington, L., A powerless proof of a theorem of Silver (November 1976), University of California, at Berkeley, unpublished notes
[7] Harrington, L., Analytic determinacy and \(0^#\), J. Symbolic Logic, 43, 685-693 (1978) · Zbl 0398.03039
[8] Hewitt, E.; Savage, L. J., Symmetric measures on cartesian products, Trans. Amer. Math. Soc., 80, 470-501 (1955) · Zbl 0066.29604
[9] Martin, D. A., Measurable cardinals and analytic games, Fund. Math., 66, 287-291 (1970) · Zbl 0216.01401
[10] Martin, D. A., Borel determinacy, Ann. of Math., 102, 363-371 (1975) · Zbl 0336.02049
[11] Martin, D. A., Analysis and ∑\(^0_4\) games (March 1974), Rockefeller University, unpublished notes
[12] Paris, J.; Harrington, L., A mathematical incompleteness in Peano arithmetic, (Barwise, Jon, Handbook of Mathematical Logic (1977), North-Holland: North-Holland Amsterdam), 1133-1142
[13] Ramsey, F. P., On a problem in formal logic, Proc. London Math. Soc. Ser., 2, 30, 264-286 (1930) · JFM 55.0032.04
[14] Schmeri, J. H., A partition property characterizing cardinals hyperinaccessible of finite type, Trans. Amer. Math. Soc., 188, 281-291 (1974) · Zbl 0253.02057
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.