> Number Theory is basically the exploration of the deep consequences of a set of (ultimately arbitrary but apparently obvious) axioms.
Isn't that true for all fields of pure math?
Isn't that true for all fields of pure math?
Number theory uses a much smaller set of axioms.
It should be stated that most mathematicians don't really mind the logical foundations of their work when they are actually working in the same way that most programmers don't worry about assembly language or transistors.