Brouwer's Cambridge Lectures on Intuitionism

Erscheinungsjahr 2011
ISBN: 978-0-521-17736-8
Verlag: Cambridge University Press

Buch, Englisch, 122 Seiten, Format (B × H): 140 mm x 216 mm, Gewicht: 165 g

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.

Autoren/Hrsg.

Brouwer, Luitzen Egbertus Jan

Brouwer

Dalen, D. van

Fachgebiete

• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik

Inhaltsverzeichnis

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.