Charles S. (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley, USA) Chihara
Meer over de auteurs
Charles S. (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley, USA) Chihara,
,
Charles S. Chihara
e druk, 1991
9780198239758
Constructibility and Mathematical Existence
Specificaties
Paperback, 298 blz.
|
Engels
|
e druk, 1991
ISBN13: 9780198239758
Rubricering
Onderdeel van serie
Clarendon Paperbacks
Verwachte levertijd ongeveer 11 werkdagen
Samenvatting
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.
Specificaties
Inhoudsopgave
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.