Source: Quanta Magazine, Feb 2017

“There are two conceptions of mathematics,” Abouzaid said. “There’s mathematics as: **The currency of mathematics is ideas.** And there’s mathematics as: **The currency of mathematics is proofs.**

It’s hard for me to say on which side people stand. My personal attitude is: **The most important thing in mathematics is ideas, and the proofs are there to make sure the ideas don’t go astray.”**

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