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
Constructibility and mathematical existence
โ Scribed by Chihara C.S.
- Publisher
- Oxford University Press
- Year
- 1990
- Tongue
- English
- Leaves
- 298
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
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.
โฆ Subjects
Mathematics -- Philosophy.;Constructive mathematics.;Logic, Symbolic and mathematical.;Humaniora -- Filosofi.
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