Philosophy of
Mathematics:

A study of
mathematical truth and related questions of ontology and epistemology.

We will begin
with the foundations crisis in the early part of the twentieth century, study
GodelŐs Incompleteness theorems and their implications, and move on to
contemporary work in this area.

Studies will
read papers on and discuss the topics listed below and then write a paper of 10
to 20 pages with a specific focus on a related topic.

Topics:

Set theory and
the infinite

Foundations
Crisis

Logicism

Finitism

Intuitionism

Incompleteness

Existence of
Mathematical Objects

The nature of
mathematical truth

Texts:

1)
__Philosophies
of Mathematics__ by ALEXANDER GEORGE and DANIEL VELLEMAN (Blackwell 2001)

2)
__What is
Mathematics, Really?__ by Reuben Hersh, Oxford University Press, 1997.

and selections from

3)__ Philosophy of Mathematics:
An Anthology__, edited by Dale Jacquette (Blackwell 2002)

4
__) Philosophy of Mathematics: Selected Readings__,
edited by Paul Benacerraf & Hilary Putnam, 2nd edition 1983 (reprinted
1997)