Brouwer's Cambridge lectures on intuitionism
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Brouwer's Cambridge lectures on intuitionism
UT Back-in-Print Service, 1999
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Note
Bibliography: p. 103-105
Includes index
Reprint. Originally published : Cambridge [Eng.] ; New York : Cambridge University Press , 1981
Description and Table of Contents
Description
Luitzen Egburtus Jan Brouwer founded a school of thought whose aim was to include mathematics within the framework of intuitionistic philosophy; mathematics was to be regarded as an essentially free development of the human mind. What emerged diverged considerably at some points from tradition, but intuitionism has survived well the struggle between contending schools in the foundations of mathematics and exact philosophy. Originally published in 1981, this monograph contains a series of lectures dealing with most of the fundamental topics such as choice sequences, the continuum, the fan theorem, order and well-order. Brouwer's own powerful style is evident throughout the work.
Table of Contents
- Frontispiece L. E. J. Brouwer
- Editorial preface
- 1. Historical introduction and fundamental notions
- 2. General properties of species, spread directions, spreads and spaces
- 3. Order
- 4. Precision analysis of the continuum
- 5. The bunch theorem
- Appendix
- Notes
- References
- Index.
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