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on
Mathematics, Form and Function
by
Saunders Mac Lane
Introduction
The questions Mac Lane endeavours to answer come in six groups as follows:
What is the
Origin
of Mathematics?
What is the
Organisation
of Mathematics?
Are the formalisms of Mathematics based on or derived from the facts; if not, how are they derived?
How does Mathematics develop?
Is there an absolute standard of rigour? And what are the correct foundations of Mathematics?
Logicism
Set Theory
Platonism
Formalism
Intuitionism
Empricists
Concerning the Philosophy of Mathematics
What are the objects of Mathematics and where do they exist (if indeed they do exist)?
What is the nature of Mathematical truth?
How is it that we can have knowledge of Mathematical truth or Mathematical knowledge?
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