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ISBN: 9781402001529

ID: 7debd732f2df76c7110cb2d8480dfd62

Symposion Proceedings, San Servolo, Venice, Italy, May 16-22, 1999 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. This book will be of interest to mathematicians, logicians, and philosophers, as well as theoretical computer scientists, physicists, and economists who are interested in theories of the continuum and in constructive or nonstandard mathematics. The major part is accessible for the non-expert professional reader, from graduate student to academic level. Bücher / Fremdsprachige Bücher / Englische Bücher 978-1-4020-0152-9, Springer

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2002, ISBN: 9781402001529

[ED: Hardcover], [PU: Springer Netherlands], 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. 2002. xiii, 329 S. XIII, 329 p. 235 mm Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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ISBN: 9781402001529

ID: 9781402001529

Mathematics; Mathematical Logic and Foundations; Analysis; Logic calculus, differential equation, logic, measure, proof, sequent calculus, set theory Books Book, Springer Science+Business Media

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Title: | ## Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum |

ISBN: |

** Details of the book - Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum**

EAN (ISBN-13): 9781402001529

ISBN (ISBN-10): 1402001525

Hardcover

Publishing year: 2002

Publisher: Springer-Verlag GmbH

348 Pages

Weight: 0,684 kg

Language: eng/Englisch

Book in our database since 22.05.2007 11:39:57

Book found last time on 30.01.2017 13:00:08

ISBN/EAN: 1402001525

ISBN - alternate spelling:

1-4020-0152-5, 978-1-4020-0152-9

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