Mathematics as a prominent tool for artificial thinking development? Hammer and nail saying...

[Richard White]

About strength and weaknesses of mathematics:
- Mathematics always are efficient at winning school competitions
(Thus, winners love mathematics).
- Mathematics often are strong at drawing paths outside known
boundaries whenever an extrapolation is justified.
- Mathematics sometimes are inefficient at describing phenomena as
common as plumes of smoke. But they do their best at it, and they are
improving.
- Mathematics remain inefficient whenever you need a new idea.
General knowledge including mathematics will help more. Focusing on
mathematics, you will end lacking in general knowledge! "When all you
have is a hammer, everything looks like a nail".

Why would we rely on mathematics in finding, testing and selecting
artificial thinking algorithms? Mathematics will help as everything
else can do, no more... no less.