L. E. J. Brouwer and the foundations of mathematics. (L. E. J. Brouwer en de grondslagen van de wiskunde.) (Dutch) Zbl 1024.03003

van Dalen, Dirk

Epsilon Uitgaven 51. Utrecht: Epsilon Uitgaven (ISBN 90-5041-061-8/pbk). iv, 209 p. (2001).

This is a reprint of the 1907 doctoral dissertation (in Dutch) of L. E. J. Brouwer, together with some other early texts by Brouwer. Dirk van Dalen edited the booklet with great care. Corrections and additions that Brouwer made when he considered publishing a second edition at the end of World War I, have been inserted. Van Dalen wrote an introduction, included important letters that Brouwer and his supervisor Korteweg exchanged. He added philosophical fragments that Korteweg refused to accept and texts that give us an idea of what was said when Brouwer defended the thesis. Mannoury’s critical reviews of the dissertation are included and Brouwer’s reaction to them as well.

Reviewer: Teun Koetsier (Amsterdam)

MSC:

03-03	History of mathematical logic and foundations
01A60	History of mathematics in the 20th century
03F55	Intuitionistic mathematics
01A75	Collected or selected works; reprintings or translations of classics

Keywords:

L. E. J. Brouwer’s dissertation; intuitionism