UID:
almahu_9947367821702882
Format:
1 online resource (237 p.)
ISBN:
1-281-71646-4
,
9786611716462
,
9780080880022
,
1-4356-8697-7
,
0-08-088004-5
Series Statement:
Studies in logic and the foundations of mathematics ; v. 113
Content:
``Platonism and intuitionism are rival philosophies of Mathematics, the former holding that the subject matter of mathematics consists of abstract objects whose existence is independent of the mathematician, the latter that the subject matter consists of mental construction... both views are implicitly opposed to materialistic accounts of mathematics which take the subject matter of mathematics to consist (in a direct way) of material objects...'' FROM THE INTRODUCTIONAmong the aims of this book are: - The discussion of some important philosophical issues using the precision
Note:
Description based upon print version of record.
,
Front Cover; Intensional Mathematics; Copyright Page; Table of Contents; Chapter 1. Introduction: Intensional Mathematics and Constructive Mathematics; Chapter 2. Epistemic and Intuitionistic Arithmetic; Chapter 3. Intensional Set Theory; Chapter 4. A Genuinely Intensional Set Theory; Chapter 5. Extending Gödel's Modal Interpretation to Type Theory and Set Theory; Chapter 6. Church's Thesis is Consistent with Epistemic Arithmetic; Chapter 7. Calculable Natural Numbers; Chapter 8. Modality and Self-Reference; Chapter 9. Some Principles Related to Löb's Theorem
,
English
Additional Edition:
ISBN 0-444-87632-4
Language:
English
