Charles S. Chihara

Constructibility and Mathematical Existence

• Broschiertes Buch

Produktbeschreibung

This book is concerned with 'the problem of existence in mathematics'. It develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. It explores the philosophical implications of such an approach through an examination of the writings of Field, Burgess, Maddy, Kitcher, and others.

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Chihara here develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. He utilizes this system in the analysis of the nature of mathematics, and discusses many recent works in the philosophy of mathematics from the viewpoint of the constructibility theory developed. This innovative analysis will appeal to mathematicians and philosophers of logic, mathematics, and science.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: OUP Oxford
• Seitenzahl: 300
• Erscheinungstermin: 31. August 2001
• Englisch
• Abmessung: 216mm x 140mm x 18mm
• Gewicht: 426g
• ISBN-13: 9780198239758
• ISBN-10: 0198239750
• Artikelnr.: 22147495

Inhaltsangabe

PART I: THE CONSTRUCTIBILITY THEORY: The Problem of Existence in Mathematics
The Constructibility Quantifiers
Constructibility and Open-Sentences
The Deductive System
Cardinality and Number Theory
Measurable Quantities and Analysis. PART II: PHILOSOPHICAL DEVELOPMENTS: Mathematical Structuralism
Science Without Numbers
Why Burgess is a Moderate Realist
Maddy's Solution to the Problem of Reference
Kitcher's Ideal Agents
Deflationism and Mathematical Truth. Appendix
Field's Nominalistic Logical Theory.