A Logical Journey: From Gödel to Philosophy

Couverture
MIT Press, 3 févr. 1997 - 408 pages

Hao Wang (1921-1995) was one of the few confidants of the great mathematician and logician Kurt Gödel. A Logical Journey is a continuation of Wang's Reflections on Gödel and also elaborates on discussions contained in From Mathematics to Philosophy. A decade in preparation, it contains important and unfamiliar insights into Gödel's views on a wide range of issues, from Platonism and the nature of logic, to minds and machines, the existence of God, and positivism and phenomenology.

The impact of Gödel's theorem on twentieth-century thought is on par with that of Einstein's theory of relativity, Heisenberg's uncertainty principle, or Keynesian economics. These previously unpublished intimate and informal conversations, however, bring to light and amplify Gödel's other major contributions to logic and philosophy. They reveal that there is much more in Gödel's philosophy of mathematics than is commonly believed, and more in his philosophy than his philosophy of mathematics.

Wang writes that "it is even possible that his quite informal and loosely structured conversations with me, which I am freely using in this book, will turn out to be the fullest existing expression of the diverse components of his inadequately articulated general philosophy."

The first two chapters are devoted to Gödel's life and mental development. In the chapters that follow, Wang illustrates the quest for overarching solutions and grand unifications of knowledge and action in Gödel's written speculations on God and an afterlife. He gives the background and a chronological summary of the conversations, considers Gödel's comments on philosophies and philosophers (his support of Husserl's phenomenology and his digressions on Kant and Wittgenstein), and his attempt to demonstrate the superiority of the mind's power over brains and machines. Three chapters are tied together by what Wang perceives to be Gödel's governing ideal of philosophy: an exact theory in which mathematics and Newtonian physics serve as a model for philosophy or metaphysics. Finally, in an epilog Wang sketches his own approach to philosophy in contrast to his interpretation of Gödel's outlook.

 

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Table des matières

VII
25
VIII
26
IX
35
X
42
XI
46
XII
51
XIII
54
XIV
61
XLI
193
XLII
203
XLIII
205
XLIV
209
XLV
211
XLVI
221
XLVII
232
XLVIII
237

XV
62
XVI
67
XVII
70
XVIII
76
XIX
81
XX
90
XXI
101
XXII
104
XXIII
111
XXIV
121
XXV
129
XXVI
130
XXVII
132
XXVIII
137
XXIX
147
XXX
153
XXXII
155
XXXIII
162
XXXIV
164
XXXV
172
XXXVI
177
XXXVII
183
XXXIX
184
XL
190
XLIX
242
L
247
LII
248
LIII
253
LIV
259
LV
264
LVI
269
LVII
273
LVIII
280
LIX
287
LXI
289
LXII
297
LXIII
305
LXIV
308
LXV
318
LXVI
323
LXVII
326
LXVIII
335
LXIX
342
LXX
353
LXXI
361
LXXII
375
LXXIII
381
Droits d'auteur

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Expressions et termes fréquents

Fréquemment cités

Page 19 - The reciprocal relationship of epistemology and science is of noteworthy kind. They are dependent upon each other. Epistemology without contact with science becomes an empty scheme. Science without epistemology is—insofar as it is thinkable at all—primitive and muddled

À propos de l'auteur (1997)

Hao Wang is Professor of Logic at The Rockefeller University and author of scores of articles and several books on logic, computers, and philosophy, including From Mathematics to Philosophy (extensively discussed with Gödel and containing contributions by him) and Beyond Analytic Philosophy: Doing Justice to What We Know (MIT Press Bradford Books). He is currently preparing a companion volume, Conversations with Kurt Gödel which will concentrate on Gödel's unpublished ideas.

Informations bibliographiques