[lioeters]

Here's a glimpse that may change your mind about mathematics as an experimental science:

Mathematics: An Experimental Science - https://www.math.upenn.edu/~wilf/website/Mathematics_AnExper... (PDF)

> A computer is used by a pure mathematician in much the same way that a telescope is used by a theoretical astronomer. It shows us "what’s out there."

> From such explorations there can grow understanding, and conjectures, and roads to proofs, and phenomena that would not have been imaginable in the pre-computer era. This role of computation within pure mathematics seems destined only to expand over the near future and to be imbued into our students along with Euclid’s axioms and other staples of mathematical education.

Also:

Turtle Geometry: The Computer as a Medium for Exploring Mathematics - https://mitpress.mit.edu/books/turtle-geometry

[andrepd]

>Mathematics: An Experimental Science

That was an amazing read. It certainly made me rethink my position. Thanks!