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Constructibility and Mathematical Existence.

Author: Chihara.
Publisher: Oxford University Press : Oxford University Press.
Edition/Format:   Print book : English

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  Read more...


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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Chihara.
ISBN: 0198239750 9780198239758
OCLC Number: 473784710
Notes: DatabaseOxford Scholarship Online.
Contents: 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.


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'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 Read more...

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