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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Grundlagen Foundations of Constructive Mathematics
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Foundations of Constructive Mathematics
M.J. Beeson (Gebundene Ausgabe, Englisch)
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Beschreibung
This book is about some recent work in a subject usually considered part of "logic" and the" foundations of mathematics", but also having close connec tions with philosophy and computer science. Namely, the creation and study of "formal systems for constructive mathematics". The general organization of the book is described in the" User's Manual" which follows this introduction, and the contents… of the book are described in more detail in the introductions to Part One, Part Two, Part Three, and Part Four. This introduction has a different purpose; it is intended to provide the reader with a general view of the subject. This requires, to begin with, an elucidation of both the concepts mentioned in the phrase, "formal systems for constructive mathematics". "Con structive mathematics" refers to mathematics in which, when you prove that l a thing exists (having certain desired properties) you show how to find it. Proof by contradiction is the most common way of proving something exists without showing how to find it - one assumes that nothing exists with the desired properties, and derives a contradiction. It was only in the last two decades of the nineteenth century that mathematicians began to exploit this method of proof in ways that nobody had previously done; that was partly made possible by the creation and development of set theory by Georg Cantor and Richard Dedekind. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.03.1985
Sprache
Englisch
EAN
9783540121732
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
Sonderedition
Nein
Autor
M.J. Beeson
Seitenanzahl
466
Einbandart
Gebundene Ausgabe
Buch Untertitel
Metamathematical Studies
Bandzählung
6
Schlagwörter
model theory, computer, forcing, Cantor, computer science, Mathematics, development, proving, computability theory, philosophy, proof by contradiction, organization, eXist, set theory, proof
Thema-Inhalt
PBC - Mathematische Grundlagen
PBCD - Mathematik: Logik
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