Brouwer's incomplete objects
Joop Niekus
Abstract:
Brouwer's papers after 1945 are characterized by a technique, known as
the method of the creating subject. It has been supposed that the
method was radically new in his work, since Brouwer seems to introduce
an idealized mathematician into his mathematical practice. A newly
opened source, the unpublished text of a lecture of Brouwer from 1934,
fully supports the conclusions of our analysis that:
-There is no idealized mathematician involved in the method.
-The method was not new at all.
-Brouwer uses an incomplete sequence, also known as choice sequence,
in this method, which is special. The method does not take its place
in the standard works on choice sequences.