Annals of the Japan Association for Philosophy of Science

Online ISSN : 1884-1228
Print ISSN : 0453-0691
ISSN-L : 0453-0691

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Volume 20

Displaying 1-12 of 12 articles from this issue

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[title in Japanese]

Article type: Cover
2012 Volume 20 Pages Cover1-
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_Cover1

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[title in Japanese]

Article type: Cover
2012 Volume 20 Pages Cover2-
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_Cover2

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Preface to the Special Section : Infinity in Philosophy and Mathematics

Sakaé FUCHINO

Article type: Article
2012 Volume 20 Pages 1-
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_1

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The Mathematical Infinite as a Matter of Method(<Special Section>Infinity in Philosophy and Mathematics)

Akihiro KANAMORI

Article type: Article
2012 Volume 20 Pages 3-15
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_3

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I address the historical emergence of the mathematical infinite, and how we are to take the infinite in and out of mathematics. The thesis is that the mathematical infinite in mathematics is a matter of method.

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Axioms of Infinity as the Starting Point for Rigorous Mathematics(<Special Section>Infinity in Philosophy and Mathematics)

John P. BURGESS

Article type: Article
2012 Volume 20 Pages 17-28
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_17

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A more than sufficient starting point for the development of all currently accepted rigorous mathematics is provided by a pair of assumptions about how many individuals there are: the relative assertion that there are as many of them as there are small classes of them, and the absolute assertion that there are indescribably many of them. But explaining what the foregoing assertion means is more work than establishing that it is true.

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A Sneak Preview of Proof Theory of Ordinals(<Special Section>Infinity in Philosophy and Mathematics)

Toshiyasu ARAI

Article type: Article
2012 Volume 20 Pages 29-47
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_29

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This article is a sneak preview of the project, 'proof theory for theories of ordinals'. Background, aims and survey on the project are given.

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The Set-theoretic Multiverse as a Mathematical Plenitudinous Platonism Viewpoint(<Special Section>Infinity in Philosophy and Mathematics)

Sakaé FUCHINO

Article type: Article
2012 Volume 20 Pages 49-54
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_49

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We address aspects of mathematical Platonism and examine the possibility of Platonism viewpoint in mathematics in wake of recent devolopments in set theory.

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[title in Japanese]

Article type: Appendix
2012 Volume 20 Pages App1-
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_App1

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[title in Japanese]

Article type: Appendix
2012 Volume 20 Pages App2-
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_App2

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[title in Japanese]

Article type: Appendix
2012 Volume 20 Pages App3-
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_App3

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[title in Japanese]

Article type: Appendix
2012 Volume 20 Pages App4-
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_App4

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[title in Japanese]

Article type: Cover
2012 Volume 20 Pages Cover3-
Published: March 25, 2012
Released on J-STAGE: August 01, 2017

DOIhttps://doi.org/10.4288/jafpos.20.0_Cover3

JOURNAL FREE ACCESS

Download PDF (16K)

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