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, 1990
9780198248170
Constructibility and Mathematical Existence
Specificaties
Gebonden, 298 blz.
|
Engels
|
e druk, 1990
ISBN13: 9780198248170
Rubricering
Levertijd ongeveer 10 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 in an examination of the writings of Field, Burgess, Maddy, Kitcher, and others.
Specificaties
ISBN13:9780198248170
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:298
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.