What is Mathematics, Really? 0195113683, 0195130871, 9780195113686, 9780585356662, 0585356661, 9781602561922, 1602561923

Contents; Preface: Aims and Goals; Acknowledgments; Dialogue with Laura; 1 Survey and Proposals; 2 Criteria for a Philos

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English Pages 368 pages Year 2001;1997

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What is Mathematics, Really?
0195113683, 0195130871, 9780195113686, 9780585356662, 0585356661, 9781602561922, 1602561923

Author / Uploaded
Hersh
Reuben

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.

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