A mathematician , like a painter or poet, is a maker of patterns . If his patterns are more permanent than theirs, it is because they are made with ideas.G.H. Hardy
The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things.
Aristotle, Metaphysica 1-5
a group under construction.