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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum: Symposium Proceedings, San Servolo, Venice, Italy, May 16-22, 1999 Pete
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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum: Symposium Proceedings, San Servolo, Venice, Italy, May 16-22, 1999 Pete - new book

ISBN: 9781402001529

At first glance, Robinson's original form of nonstandard analysis appears nonconstructive in essence, because it makes a rather unrestricted use of classical logic and set theory and, in … More...

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Reuniting the Antipodes Constructive and Nonstandard Views of the Continuum Synthese Library Symposium Proceedings, San Servolo, Venice, Italy, May 1622, 1999 306 - Paperback

2001, ISBN: 9781402001529

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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum: Symposium Proceedings, San Servolo, Venice, Italy, May 16â€"22, 1999 (Synthese Library, 306) - hardcover

2002

ISBN: 1402001525

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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum: Symposium Proceedings, San Servolo, Venice, Italy, May 16–22, 1999 (Synthese Library,
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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum: Symposium Proceedings, San Servolo, Venice, Italy, May 16–22, 1999 (Synthese Library, - hardcover

2002, ISBN: 1402001525

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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum: Symposium Proceedings, San Servolo, Venice, Italy, May 16–22, 1999 (Synthese Library,
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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum: Symposium Proceedings, San Servolo, Venice, Italy, May 16–22, 1999 (Synthese Library, - hardcover

2002, ISBN: 1402001525

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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum: Symposium Proceedings, San Servolo, Venice, Italy, May 16-22, 1999 Pete

At first glance, Robinson's original form of nonstandard analysis appears nonconstructive in essence, because it makes a rather unrestricted use of classical logic and set theory and, in particular, of the axiom of choice. Recent developments, however, have given rise to the hope that the distance between constructive and nonstandard mathematics is actually much smaller than it appears. So the time was ripe for the first meeting dedicated simultaneously to both ways of doing mathematics ¿ and to the current and future reunion of these seeming opposites. Consisting of peer-reviewed research and survey articles written on the occasion of such an event, this volume offers views of the continuum from various standpoints. Including historical and philosophical issues, the topics of the contributions range from the foundations, the practice, and the applications of constructive and nonstandard mathematics, to the interplay of these areas and the development of a unified theory.

Details of the CD - Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum: Symposium Proceedings, San Servolo, Venice, Italy, May 16-22, 1999 Pete


EAN (ISBN-13): 9781402001529
ISBN (ISBN-10): 1402001525
Hardcover
Paperback
Publishing year: 2002
Publisher: Springer Netherlands Core >2 >T
348 Pages
Weight: 0,684 kg
Language: eng/Englisch

CD in our database since 2007-05-22T05:39:57-04:00 (New York)
Detail page last modified on 2023-11-02T06:57:10-04:00 (New York)
EAN: 1402001525

EAN - alternate spelling:
1-4020-0152-5, 978-1-4020-0152-9
Alternate spelling and related search-keywords:
CD artist: peter berger, ulrich horst, horst osswald, kim schuster, peter robinson
CD title: reuniting antipodes constructive nonstandard views continuum, reuniting the antipodes, four views, antipode, venice, library, san


Information from Publisher

Author: Peter Schuster; Ulrich Berger; Horst Osswald
Title: Synthese Library; Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum - Symposium Proceedings, San Servolo, Venice, Italy, May 16–22, 1999
Publisher: Springer; Springer Netherland
329 Pages
Publishing year: 2002-01-31
Dordrecht; NL
Weight: 1,470 kg
Language: English
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD
XIII, 329 p.

BB; Mathematical Logic and Foundations; Hardcover, Softcover / Mathematik/Grundlagen; Mathematik: Logik; Verstehen; calculus; differential equation; logic; measure; proof; sequent calculus; set theory; Analysis; Logic; Mathematical Logic and Foundations; Analysis; Logic; Mathematische Grundlagen; Mathematische Analysis, allgemein; Philosophie: Logik; BC; EA

Foreword. Nonstandard construction of stable type Euclidean random field measures; S. Albeverio, Jiang-Lun Wu. The continuum in smooth infinitesimal analysis; J.L. Bell. Constructive unbounded operators; D. Bridges, H. Ishihara. The points of (locally) compact regular formal topologies; G. Curi. Embedding a linear subset of Beta(H) in the dual of its predual; L.V. Dediu. Nonstandard analysis by means of ideal values of sequences; M. di Nasso. Nilpotent infinitesimals and synthetic differential geometry in classical logic; P. Giordano. On hyperfinite approximations of the field R; E.I. Gordon, O.A. Rezvova. Various continuity properties in constructive analysis; H. Ishihara, R. Mines. Loeb measures and Borel algebras; H.J. Keisler, Yeneng Sun. On Brouwerian bar induction; B.A. Kushner. Curt Schmieden's approach to infinitesimals. An eye-opener to the historiography of analysis; D. Laugwitz. A sequent calculus for constructive ordered fields; S. Negri. The Puritz order and its relationship to the Rudin-Keisler order; S.-A. Ng, H. Render. Unifying constructive and nonstandard analysis; E. Palmgren. Positive lattices; J. von Plato. Constructive mathematics without choice; F. Richman. Pointwise differentiability; F. Richman. On Conway numbers and generalized real numbers; F. Rosemeier. The constructive content of nonstandard measure existence proofs - is there any? D.A. Ross. Kruskal's tree theorem in a constructive theory of inductive definitions; M. Seisenberger. Real numbers and functions exhibited in dialogues; R. Taschner. On the quantitative structure of Delta02; S.A. Terwijn. Understanding and usingBrouwer's continuity principle; W. Veldman. Peirce and the continuum from a philosophical point of view; J. Zink.
Symposion Proceedings, San Servolo, Venice, Italy, May 16-22, 1999;

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