Full Idea
I argue that mathematical knowledge has its roots in pattern recognition and representation, and that manipulating representations of patterns provides the connection between the mathematical proof and mathematical truth.
Gist of Idea
Maths is pattern recognition and representation, and its truth and proofs are based on these
Source
Michael D. Resnik (Maths as a Science of Patterns [1997], One.1)
Book Reference
Resnik,Michael D.: 'Mathematics as a Science of Patterns' [OUP 1999], p.9
A Reaction
The suggestion that patterns are at the basis of the ontology of mathematics is the most illuminating thought I have encountered in the area. It immediately opens up the possibility of maths being an entirely empirical subject.