This is intended as a textbook on the history, philosophy and
foundations of mathematics, primarily for students specializing in
mathematics, but we also wish to welcome interested students from the
sciences, humanities and education. We have attempted to give
approximately equal treatment to the three subjects: history, philosophy
and mathematics. History We must emphasize that this is not a scholarly
account of the history of mathematics, but rather an attempt to teach
some good mathematics in a historical context. Since neither of the
authors is a professional historian, we have made liberal use of
secondary sources. We have tried to give ref- cited facts and opinions.
However, considering that this text erences for developed by repeated
revisions from lecture notes of two courses given by one of us over a 25
year period, some attributions may have been lost. We could not resist
retelling some amusing anecdotes, even when we suspect that they have no
proven historical basis. As to the mathematicians listed in our account,
we admit to being colour and gender blind; we have not attempted a
balanced distribution of the mathematicians listed to meet today's
standards of political correctness. Philosophy Both authors having wide
philosophical interests, this text contains perhaps more philosophical
asides than other books on the history of mathematics. For example, we
discuss the relevance to mathematics of the pre-Socratic philosophers
and of Plato, Aristotle, Leibniz and Russell. We also have vi Preface
presented some original insights.