Consistency results about ordinal definability

作者: Kenneth McAloon

DOI: 10.1016/0003-4843(71)90005-2

关键词: StatisticsMathematicsOrdinal dataOrdinal analysisConsistency (statistics)

摘要:

参考文章(14)
PAUL J. COHEN, INDEPENDENCE RESULTS IN SET THEORY The Theory of Models#R##N#Proceedings of the 1963 International Symposium at Berkeley. pp. 39- 54 ,(2014) , 10.1016/B978-0-7204-2233-7.50012-5
Saul Kripke, An extension of a theorem of Gaifman-Hales-Solvay Fundamenta Mathematicae. ,vol. 61, pp. 29- 32 ,(1967) , 10.4064/FM-61-1-29-32
A. Lévy, Principles of reflection in axiomatic set theory Fundamenta Mathematicae. ,vol. 49, pp. 1- 10 ,(1960) , 10.4064/FM-49-1-1-10
Ronald Jensen, Definable Sets of Minimal Degree Mathematical Logic and Foundations of Set Theory, Proceedings of an International Colloquium Held Under the Auspices of The Israel Academy of Sciences and Humanities. ,vol. 59, pp. 122- 128 ,(1970) , 10.1016/S0049-237X(08)71934-7
Jean-Louis Krivine, Théorie axiomatique des ensembles ... Presses universitaires de France. ,(1972)
S. Feferman, Some applications of the notions of forcing and generic sets Fundamenta Mathematicae. ,vol. 56, pp. 325- 345 ,(1964) , 10.4064/FM-56-3-325-345
Azriel Levy, Definability in Axiomatic Set Theory II Mathematical Logic and Foundations of Set Theory, Proceedings of an International Colloquium Held Under the Auspices of The Israel Academy of Sciences and Humanities. ,vol. 59, pp. 129- 145 ,(1970) , 10.1016/S0049-237X(08)71935-9
R.B. Jensen, R.M. Solovay, Some Applications of Almost Disjoint Sets Mathematical Logic and Foundations of Set Theory, Proceedings of an International Colloquium Held Under the Auspices of The Israel Academy of Sciences and Humanities. ,vol. 59, pp. 84- 104 ,(1970) , 10.1016/S0049-237X(08)71932-3
J. Myhill, The Hypothesis that all Classes are Nameable. Proceedings of the National Academy of Sciences of the United States of America. ,vol. 38, pp. 979- 981 ,(1952) , 10.1073/PNAS.38.11.979