What is Mathematics, Really?

✍ Scribed by Hersh, Reuben

• Publisher: Oxford University Press
• Year: 2001;1997
• Tongue: English
• Category: Library

✦ Synopsis

Contents; Preface: Aims and Goals; Acknowledgments; Dialogue with Laura; 1 Survey and Proposals; 2 Criteria for a Philosophy of Mathematics; 3 Myths/Mistakes/Misunderstandings; 4 Intuition/Proof/Certainty; 5 Five Classical Puzzles; 6 Mainstream Before the Crisis; 7 Mainstream Philosophy at Its Peak; 8 Mainstream Since the Crisis; 9 Foundationism Dies/Mainstream Lives; 10 Humanists and Mavericks of Old; 11 Modern Humanists and Mavericks; 12 Contemporary Humanists and Mavericks; Summary and Recapitulation; 13 Mathematics Is a Form of Life; Mathematical Notes/Comments; Bibliography; Index; A; B.;Tries to refine the philosophy of mathematics to reflect what mathematicians really do, and argues that mathematics must be understood in a social context.

✦ Table of Contents

Contents
Preface: Aims and Goals
Acknowledgments
Dialogue with Laura
1 Survey and Proposals
2 Criteria for a Philosophy of Mathematics
3 Myths/Mistakes/Misunderstandings
4 Intuition/Proof/Certainty
5 Five Classical Puzzles
6 Mainstream Before the Crisis
7 Mainstream Philosophy at Its Peak
8 Mainstream Since the Crisis
9 Foundationism Dies/Mainstream Lives
10 Humanists and Mavericks of Old
11 Modern Humanists and Mavericks
12 Contemporary Humanists and Mavericks
Summary and Recapitulation
13 Mathematics Is a Form of Life
Mathematical Notes/Comments
Bibliography
Index
A
B. CD
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z.

✦ Subjects

Mathematics--Philosophy;Mathematics;Philosophy;;Mathematics -- Philosophy