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Axiom of regularity
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1	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) the Add to Reading List Source URL: alexanderpruss.com Language: English - Date: 2014-04-15 12:18:35 Logic Banach–Tarski paradox Event Axiom of choice Probability axioms Constructible universe Conditional probability Independence Zermelo–Fraenkel set theory Probability theory Mathematics Mathematical logic
2	Something from Nothing Tom Davis [removed] http://www.geometer.org/mathcircles October 24, 2000 Add to Reading List Source URL: www.geometer.org Language: English - Date: 2007-11-02 18:11:05 Axioms of set theory Z notation Function Zermelo–Fraenkel set theory Axiom schema of specification Constructible universe Axiom of choice Principia Mathematica Axiom of regularity Mathematical logic Mathematics Set theory
3	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 o Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2010-02-03 12:15:01 Ordinal numbers Axioms of set theory Z notation Constructible universe Ordinal arithmetic Axiom of regularity S Hartogs number Reflection principle Mathematical logic Mathematics Set theory
4	Nonstandard Set Theories and Information Management VAROL AKMAN Add to Reading List Source URL: www.cs.bilkent.edu.tr Language: English - Date: 2006-07-04 07:58:01 Axioms of set theory Z notation Urelements Self-reference Zermelo–Fraenkel set theory S Axiom of choice New Foundations Axiom of regularity Mathematical logic Set theory Mathematics
5	Math 220 Axioms for set theory Add to Reading List Source URL: www.math.tamu.edu Language: English - Date: 2003-11-16 17:03:44 Axioms of set theory Z notation Axiom of empty set Nothing Axiom of choice Zermelo–Fraenkel set theory Axiom of regularity Axiom of union Axiom of infinity Mathematical logic Mathematics Set theory
6	Vocabulaire technique et analytique de l’épistémologie Paris, Presses Universitaires de France coll. Premier Cycle, 1999, 872 p. Add to Reading List Source URL: www.er.uqam.ca Language: French - Date: 2011-01-11 05:26:07 Ceteris paribus Axiom schema of specification Pierre Duhem Classical definition of probability Fallacy Axiom of choice Axiom of regularity Axiom of infinity Axiom of extensionality Mathematical logic Set theory Axioms of set theory
7	PDF Document Add to Reading List Source URL: research.microsoft.com Language: English - Date: 2007-11-15 13:55:59 Z 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