MPG.eBooks - Search Results - "axiom of choice"

1

Zermelo’s Axiom of Choice : Its Origins, Development, and Influence

by Moore, G.H.
Published 1982

Springer New York

Table of Contents: “... Relations Concerning the Axiom of Choice -- Journal Abbreviations Used in the Bibliography -- Index...”

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2

Introduction to Axiomatic Set Theory

by Krivine, J.L.
Published 1971

Springer Netherlands

Table of Contents: “.... Relative Consistency of the Axiom of Choice -- VII: Fraenkel/Mostowski Models. Relative Consistency...”

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3

Handbook of Logic and Proof Techniques for Computer Science

by Krantz, Steven G.
Published 2002

Birkhäuser

Table of Contents: “... by Contradiction -- 8.4 Direct Proof -- 8.5 Other Methods of Proof -- 9 The Axiom of Choice -- 9.1 Enunciation...”

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4

Sets and integration An outline of the development

by van Dalen, D.
Published 1972

Springer Netherlands

Table of Contents: “... -- The paradoxes -- The axiom of choice -- Zermelo takes over -- Making inconsistent sets respectable...”

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5

Introduction to Axiomatic Set Theory

by Takeuti, G., Zaring, W.M.
Published 1982

Springer New York

Table of Contents: “... and the Rank Function -- 10 The Axiom of Choice and Cardinal Numbers -- 11 Cofinality, the Generalized...”

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6

Introduction to Axiomatic Set Theory

by Takeuti, G., Zaring, W.M.
Published 1971

Springer New York

Table of Contents: “... and the Rank Function -- 10 Cardinal Numbers -- 11 The Axiom of Choice, the Generalized Continuum Hypothesis...”

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7

Set Theory

by Jech, Thomas
Published 1997

Springer Berlin Heidelberg

“.... Ordinal Numbers 12 3. Cardinal Numbers 22 4. Real Numbers 29 5. The Axiom of Choice 38 6. Cardinal...”

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8

Lectures in Set Theory : With Particular Emphasis on the Method of Forcing

by Jech, Thomas J.
Published 1971

Springer Berlin Heidelberg

Table of Contents: “... sets -- Real numbers -- Axiom of choice -- Cardinal arithmetic -- Axiom of regularity -- Transitive...”

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9

Logical Theory and Semantic Analysis : Essays Dedicated to STIG KANGER on His Fiftieth Birthday

Published 1974

Springer Netherlands

Table of Contents: “... Set Theoretical Statement Equivalent to the Axiom of Choice -- On Characterizing Elementary Logic...”

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10

Ideal Spaces

by Väth, Martin
Published 1997

Springer Berlin Heidelberg

“...-valued functions and on the constructive viewpoint of the theory (without the axiom of choice...”

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11

Foundations of Mathematics : Questions of Analysis, Geometry & Algorithmics

by Engeler, Erwin
Published 1993

Springer Berlin Heidelberg

Table of Contents: “... Elementary Theory of Real Numbers -- §4 Non-Standard Analysis -- §5 Axiom of Choice and Continuum Hypothesis...”

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12

Cambridge Summer School in Mathematical Logic : Held in Cambridge /U. K., August 1-21, 1971

Published 1973

Springer Berlin Heidelberg

Table of Contents: “... -- On descendingly complete ultrafilters -- XVI. A model for the negation of the axiom of choice -- Filters closed...”

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13

Set Theory : Techniques and Applications Curaçao 1995 and Barcelona 1996 Conferences

Published 1998

Springer Netherlands

Table of Contents: “... -- Weak forms of the axiom of choice and partitions of infinite sets -- A taste of proper forcing...”

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14

Naive Set Theory

by Halmos, P. R.
Published 1974

Springer New York

Table of Contents: “... Inverses and Composites -- 11 Numbers -- 12 The Peano Axioms -- 13 Arithmetic -- 14 Order -- 15 The Axiom...”

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15

Categorical Topology : Proceedings of the L’Aquila Conference (1994)

Published 1996

Springer Netherlands

Table of Contents: “...Compactness and the Axiom of Choice -- On Categorical Notions of Compact Objects -- Reflective...”

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16

Sets, Logic and Categories

by Cameron, Peter J.
Published 1998

Springer London

“... effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem...”

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17

Real and Abstract Analysis : A modern treatment of the theory of functions of a real variable

by Hewitt, E., Stromberg, K.
Published 1965

Springer Berlin Heidelberg

Table of Contents: “... -- Section 3. The axiom of choice and some equivalents -- Section 4. Cardinal numbers and ordinal numbers...”

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18

Introduction to Cardinal Arithmetic

by Holz, Michael, Steffens, Karsten, Weitz, E.
Published 1999

Birkhäuser

“... of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which...”

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19

Set Theory : The Third Millennium Edition, revised and expanded

by Jech, Thomas
Published 2003

Springer Berlin Heidelberg

Table of Contents: “... -- The Axiom of Choice and Cardinal Arithmetic -- The Axiom of Regularity -- Filters, Ultrafilters and Boolean...”

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20

ISILC - Logic Conference : Proceedings of the International Summer Institute and Logic Colloquium, Kiel 1974

Published 1975

Springer Berlin Heidelberg

Table of Contents: “... to recursion on general structures -- Closed models and hulls of theories -- Axioms of choice in Morse-Kelley...”

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