Proof and Other Dilemmas Mathematics and Philosophy~tqw~ darksiderg

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INFO
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Title................: Proof and Other Dilemmas Mathematics and Philosophy
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 24.2 MB
Torrent Hash.........: 5841A0783680CB8F80F4478F7D43DC82F89238A0
Posted by............: ~tqw~

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CONTENTS
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Synopsis:
Has the advent of computers changed the nature of mathematical knowledge?
Should it? Is the importance of proof decreasing? Is there an empirical
aspect to mathematics after all? To what extent is mathematics socially
constructed? Is mathematics the "science of patterns?" Recently emerging
questions like these are discussed in this book along with some recent
thinking about classical questions.

Table Of Contents:
Acknowledgments
Introduction
I. Proof and How it is Changing
1. Proof: Its Nature and Significance
2. Implications of Experimental Mathematics for the Philosophy of Mathematics
3. On the Roles of Proof in Mathematics
II. Social Constructivist Views of Mathematics
4. When Is a Problem Solved?
5. Mathematical Practice as a Scientific Problem
6. Mathematical Domains: Social Constructs?
III. The Nature of Mathematical Objects and Mathematical Knowledge
7. The Existence of Mathematical Objects
8. Mathematical Objects
9. Mathematical Platonism
10. The Nature of Mathematical Objects
11. When is One Thing Equal to Some Other Thing?
IV. The Nature of Mathematics and its Applications
12. Extreme Science: Mathematics as the Science of Relations as Such
13. What is Mathematics? A Pedagogical Answer to a Philosophical Question
14. What Will Count as Mathematics in 2100?
15. Mathematics Applied: The Case of Addition
16. Probability—A Philosophical Overview
Glossary of Common Philosophical Terms

Product Details:
* ISBN: 0883855674
* ISBN-13: 9780883855676
* Format: Hardcover, 350pp
* Publisher: Mathematical Association of America
* Pub. Date: February 2008

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Greetz Fellow UL'ers
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