[FOM] re: philosophical literature on intuitionism
Robert Tragesser
rtragesser at mac.com
Tue Oct 14 13:40:29 EDT 2008
re: T.Forster's query about "philosophical literature on
intuitionism". I kept in mind Forster's "I'm curious to know what the
people who dreamt this stuff up actually
thought they were doing."
[1] Mark van Atten's extraordinarily lucid, brief (95pp) ON BROUWER
in Wadsworth Philosophers Series [Thomson:Wadsworth; 2004) is the
best and most accurate "first introduction" noteworthy for its
Chapter 4, "Brouwer's Proof of the Bar Theorem", giving an account of
Brouwer's "proof" and a good discussion of its philosophical interest.
[2] W.P. van Stigt's BROUWER'S INTUITIONISM (North-Holland 1990) is a
rather lush account of Brouwer's philosophical ideas with instructive
appendices (best read with van Atten's little book and a reading of
Dirk van Dalen's two volume MYSTIC, GEOMETER, AND INTUITIONIST:THE
LIFE OF L.E.J.BROUWER (Oxford 1999 for Vol.1) under your belt.
[3] For source materials well introduced, Paolo Mancosu's FROM
BROUWER TO HILBERT (Oxford 1998), especially the parts on Brouwer &
Weyl.
Dummett's book simplifies Brouwer's "philosophy" virtually beyond
recognition or, rather, interest IF what is uppermost is the desire
(which Forster expressed) to satisfy curiosity about "what the people
who dreamt this stuff up actually
thought they were doing".
Robert Tragesser
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