The Proof Video

What are the analogies or metaphors that people in the video present to describe the process of doing mathematics and/or mathematical research?

How do people in the video describe what a proof is?

How do they describe what mathematics is and/or where it comes from?

What practices do mathematicians employ in order to encourage the flashes of insight they need for research?

Do they often collaborate (ie write papers with other mathematicians) or instead mostly work by themselves?

What are the connections made to geometry in the video?

What Kind of Mathematician are You?

Think about the above questions as they relate to yourself. Prepare to share an answer to one of them:
  • How would you describe the process of doing mathematics to someone else?
  • How do you get the flashes of insight that you need to do math?
  • Do you prefer to collaborate or instead mostly work by yourself?
  • How would you describe what mathematics is and where it comes from?