Brouwer's Cambridge Lectures on Intuitionism

Originally published in 1981, this monograph contains a series of lectures dealing with most of the fundamental topics in intuitionism.

D. van Dalen (Edited by), Luitzen Egbertus Jan Brouwer (Author)

9780521177368, Cambridge University Press

Paperback, published 28 April 2011

122 pages
21.6 x 14 x 0.7 cm, 0.17 kg

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.

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.

Subject Areas: Mathematical foundations [PBC]