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Reuniting The Antipodes - Constructive And Nonstandard Views Of The Continuum: Symposium Proceedings, San Servolo, Venice, Italy,
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ISBN: 9781402001529

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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. Books, Science and Nature, Reuniting The Antipodes - Constructive And Nonstandard Views Of The Continuum: Symposium Proceedings, San Servolo, Venice, Italy, Books>Science and Nature, Springer Netherlands

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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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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. Symposion Proceedings, San Servolo, Venice, Italy, May 16-22, 1999 Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum
Autor:

Schuster, Peter

Titel:

Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum

ISBN-Nummer:

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 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.

Detailangaben zum Buch - Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum


EAN (ISBN-13): 9781402001529
ISBN (ISBN-10): 1402001525
Gebundene Ausgabe
Erscheinungsjahr: 2002
Herausgeber: Springer-Verlag GmbH
348 Seiten
Gewicht: 0,684 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 22.05.2007 11:39:57
Buch zuletzt gefunden am 16.11.2016 20:23:24
ISBN/EAN: 9781402001529

ISBN - alternative Schreibweisen:
1-4020-0152-5, 978-1-4020-0152-9

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