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Axiom of infinity
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1	And the Winners Are... An Axiomatic Approach to Selection from a Set Add to Reading List Source URL: ftp.iza.org Language: English - Date: 2014-07-30 08:59:45 Z notation Axiom S Combination Foundations of mathematics Metric Axiom of infinity Peano axioms
2	Many Roads from the Axiom of Completeness* Andrew Nightingale Abstract “We all grow up believing in the existence of real numbers . . .” (Abbot, 2001, pThe “property that distinguishes” the real numbers i Add to Reading List Source URL: tigger.uic.edu Language: English - Date: 2014-05-26 17:34:36 Philosophy of mathematics Mathematical logic Mathematical induction Proof theory Number system Real number Axiom Charles Sanders Peirce Infinity Mathematics Logic Elementary mathematics
3	SPRING[removed]FIFTY-FOURTH SERIES MATH Add to Reading List Source URL: www.sonoma.edu Language: English* - Date: 2004-08-25 13:22:09 Calculus Infinity Mathematician Mathematical logic Mereology Axiom Function Theorem Geometry Logic Mathematics Philosophy of mathematics
4	Index associative law see law – associative law Augustine, Aurelius, 23–4, 114, 496 axiom of infinity, 393 Add to Reading List Source URL: media.wiley.com Language: English - Date: 2013-08-29 16:18:54 Logical consequence Philosophical logic Logical truth Formal systems Mathematical logic Commutative property Entailment Direct proof Theorem Logic Mathematics Logical syntax
5	Preface This book is an undergraduate introduction to pure mathematics. It can serve as a course bridging the gap between “procedural” mathematics (that emphasizes calculation) and “conceptual” mathematics (that Add to Reading List Source URL: www.math.unm.edu Language: English - Date: 2013-11-19 13:03:40 Logic Mathematical object Mathematical logic Mereology Infinity Mathematical proof Intuitionism Axiom Metaphysics Mathematics Philosophy of mathematics Philosophy
6	Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets Kannan Nambiar In set theory [1], two sets are considered to have the same cardinality, if a one-to-one correspondence can be set up between them. Canto Add to Reading List Source URL: www.e-atheneum.net Language: English - Date: 2003-12-02 07:10:41 Cardinal numbers Infinity Ordinal numbers Forcing Aleph number Continuum hypothesis Georg Cantor Constructible universe Transfinite number Mathematical logic Mathematics Set theory
7	Annals of the Japan Association for Philosophy of Science Vol[removed] Add to Reading List Source URL: math.bu.edu Language: English - Date: 2012-03-06 14:12:29 Cardinal numbers Infinity Set theory Formal systems Real number Georg Cantor Axiom of choice Uncountable set Continuum hypothesis Mathematics Mathematical logic Logic
8	Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis Add to Reading List Source URL: www.maa.org Language: English - Date: 2013-07-12 13:40:31 Cardinal numbers Infinity Ordinal numbers Forcing Axiom of choice Zermelo–Fraenkel set theory Transfinite number Continuum hypothesis Constructible universe Mathematical logic Mathematics Set theory
9	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
10	Matheology § 001 A matheologian is a man, or, in rare cases, a woman, who believes in thoughts that nobody can think, except, perhaps, a God, or, in rare cases, a Goddess. Add to Reading List Source URL: www.hs-augsburg.de Language: English - Date: 2013-10-26 02:12:40 Cardinal numbers Infinity Mathematical analysis Definable real number Axiom of choice Well-order Countable set Finite set Real number Mathematics Mathematical logic Set theory