Constructibility and Mathematical Existence

Charles S. Chihara (Autor)

Buch | Hardcover

298 Seiten

1990
Clarendon Press (Verlag)
978-0-19-824817-0 (ISBN)

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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.

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 in 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	12.4.1990
Zusatzinfo	line drawings
Verlagsort	Oxford
Sprache	englisch
Maße	143 x 224 mm
Gewicht	514 g
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-19-824817-2 / 0198248172
ISBN-13	978-0-19-824817-0 / 9780198248170
Zustand	Neuware