ISBN: 9789048158850

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 List_Books

2010, ISBN: 9789048158850

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[ED: Softcover], [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. Softcover reprint of hardcover 1st ed. 2002. 2010. xiii, 329 S. XIII, 329 p. 235 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)

ISBN: 9048158850

[EAN: 9789048158850], Neubuch, [SC: 0.0], [PU: Springer Netherlands], CALCULUS; DIFFERENTIAL EQUATION; LOGIC; MEASURE; PROOF; SEQUENT SET THEORY, Druck auf Anfrage Neuware - 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. 348 pp. Englisch, Books

ISBN: 9789048158850

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. Books > Mathematics Soft cover, Springer Shop

2010, ISBN: 9789048158850

gebonden uitgave

Erscheinungsdatum: 06.12.2010, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum, Titelzusatz: Symposium Proceedings, San Servolo, Venice, Italy, May 16-22, 1999, Auflage: Softcover reprint of hardcover 1st ed. 2002, Redaktion: Berger, Ulrich // Osswald, Horst // Schuster, Peter, Verlag: Springer Netherlands // Springer Netherland, Sprache: Englisch, Schlagworte: Mathematische Grundlagen // Mathematische Analysis // allgemein // Logik, Rubrik: Mathematik // Grundlagen, Seiten: 348, Informationen: Paperback, Gewicht: 528 gr, Verkäufer: averdo Belletristik