 |
 |
 |
 |
 |
 |
 |
 |
 |
Pure
math is a logical system based on assumptions, called
|
|
|
axioms. It might be called a “game” of
inference. Math is
|
|
|
as
real (and as abstract) as the game of chess.
|
|
|
The
best book I know on the subject is WHAT IS
|
|
|
MATHEMATICS,
REALLY? by Reuben Hersh (Oxford
|
|
|
University
Press).
|
|
|
For
a working definition of what pure math is, the best thing
|
|
I
could recommend is the 65 page “NOTES” section of
|
|
|
Hersh’s
book, which shows the core of math very cleanly,
|
|
|
and
gives a feel for it.
|
|