by Luke Wolcott
Definition: meta-mathematics – the study of the human context of research mathematics. Includes the sociology of the math community, the psychology and cognitive science of mathematics, and implicitly the history and philosophy of math. (Yes, I’m co-opting the term.)
Have you ever wanted to get inside the head of one of those “brilliant” mathematicians? Did you know that the mathematician Jacques Hadamard conducted a survey of well-known mathematicians – asking them specific questions about how they do math – and carefully analyzed the responses?
Have you ever stopped to think about beauty in mathematics? Did you know Thomas Tymoczko wrote an article exploring the possibility of a theory of mathematical aesthetics?