Constructibility and Mathematical Existence

Charles S. Chihara (Autor)

Buch | Softcover

298 Seiten

1991
Clarendon Press (Verlag)
978-0-19-823975-8 (ISBN)

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Concerned with the problem of existence in mathematics, this volume develops a mathematical system in which there are no existence assertions but only assertions of constructibility. It explores the philosophical implications of such an approach in the writings of Field, Burgess, Maddy and Kitcher.

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.

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.

Erscheint lt. Verlag	6.6.1991
Reihe/Serie	Clarendon Paperbacks
Zusatzinfo	line drawings
Verlagsort	Oxford
Sprache	englisch
Maße	139 x 218 mm
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-19-823975-0 / 0198239750
ISBN-13	978-0-19-823975-8 / 9780198239758
Zustand	Neuware