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eBay-Artikelnr.:315223846809
Artikelmerkmale
- Artikelzustand
- Book Title
- Constructibility and Mathematical Existence Hardcover Charles S.
- ISBN
- 9780198248170
Über dieses Produkt
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0198248172
ISBN-13
9780198248170
eBay Product ID (ePID)
1254818
Product Key Features
Number of Pages
298 Pages
Language
English
Publication Name
Constructibility and Mathematical Existence
Subject
History & Philosophy, General, Logic
Publication Year
1990
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
18.3 Oz
Item Length
8.5 in
Item Width
5.4 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
89-037162
Dewey Edition
20
Reviews
'I regard this as an important book, for, in presenting the details of a linguistic modal interpretation of much of scientifically applicable mathematics, it helps sharpen and deepen our understanding of some of the most interesting issues in the philosophy of mathematics, and it therebypushes our subject forward.Geoffrey Hellman, Philosophia Mathematica, Series III, 1993, 'an important work in the philosophy of mathematics, well deserving of more careful study and analysis than there has been room for here'John P. Burgess, Princeton University, The Philosophical Review, Vol. 101, No. 4, (October 1992), 'More than half of this important book is devoted to extended, largely informal discussions of just about everybody engaged in post-Quinean philosophy of mathematics ... Especially delightful are Chihara's exchanges with all or almost all of these philosophers in the form of personalcorrespondence.'Review of Metaphysics, 'the book is written in a lively, engaging style and is filled with penetrating analyses and careful thought ... I recommend it to anyone with a serious interest in the philosophy of mathematics.'Stewart Shapiro, Ohio State University, Mind, Vol. 101, No. 402, April 1992, 'More than half of this important book is devoted to extended, largely informal discussions of just about everybody engaged in post-Quinean philosophy of mathematics ... Especially delightful are Chihara's exchanges with all or almost all of these philosophers in the form of personal correspondence.'Review of Metaphysics'the book is written in a lively, engaging style and is filled with penetrating analyses and careful thought ... I recommend it to anyone with a serious interest in the philosophy of mathematics.'Stewart Shapiro, Ohio State University, Mind, Vol. 101, No. 402, April 1992'I regard this as an important book, for, in presenting the details of a linguistic modal interpretation of much of scientifically applicable mathematics, it helps sharpen and deepen our understanding of some of the most interesting issues in the philosophy of mathematics, and it thereby pushes our subject forward.Geoffrey Hellman, Philosophia Mathematica, Series III, 1993'an important work in the philosophy of mathematics, well deserving of more careful study and analysis than there has been room for here'John P. Burgess, Princeton University, The Philosophical Review, Vol. 101, No. 4, (October 1992)
Illustrated
Yes
Dewey Decimal
813.6
Table Of Content
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.
Synopsis
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., 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.
LC Classification Number
QA8.4.C45 1990
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