First Page | Document Content | |
---|---|---|
![]() Date: 2007-11-15 13:55:59Z notation Urelements Axioms of set theory Zermelo–Fraenkel set theory New Foundations Axiom of choice Von Neumann universe Axiom of regularity Large cardinal Mathematical logic Set theory Mathematics | Source URL: research.microsoft.comDownload Document from Source WebsiteFile Size: 206,07 KBShare Document on Facebook |
![]() | REGULAR PROBABILITY COMPARISONS IMPLY THE BANACH-TARSKI PARADOX ALEXANDER R. PRUSS Abstract. Consider the regularity thesis that each possible event has non-zero probability. H´ ajek challenges this in two ways: (a) theDocID: PxFu - View Document |
![]() | Something from Nothing Tom Davis [removed] http://www.geometer.org/mathcircles October 24, 2000DocID: FTk7 - View Document |
![]() | Axiomatic Set Theory: Problem sheet[removed]a) Assuming ZF (ie. ZF∗ +Foundation) prove that the following two definitions of “ordinal” are equivalent: (i) An ordinal is a transitive set well-ordered by ∈. (ii) An oDocID: 9o0j - View Document |
![]() | Nonstandard Set Theories and Information Management VAROL AKMANDocID: 3WfL - View Document |
![]() | Math 220 Axioms for set theoryDocID: 3nnd - View Document |