If math is more than proof, we need to better celebrate the rest of it
Grant Sanderson argues that the mathematics community should place greater value on intuitive explanations rather than just formal proofs. He suggests that prioritizing clear communication helps the public understand the true value of mathematical research.
Why it matters
It challenges the academic status quo by proposing a shift in how intellectual contributions are credited, potentially bridging the gap between specialized research and public understanding.
[This is a guest post by Grant Sanderson . This blog post was initially written in a different file format and converted using AI. — T.]
A sentiment echoing throughout the mathematics community right now is that solving problems and generating proofs have always served as proxies for the true goal of mathematicians, which is to further human understanding. When proofs can be generated without that understanding, it undermines their value as a proxy.
This immediately raises a question: What other proxies should we use instead?
I want to propose that we more firmly define a notion of a “motivated explanation” and that we give novel and compelling motivated explanations academic credit similar to what generating new proofs of open problems has had historically.
Get smarter about the news
Sign up free for a feed built around what you actually care about, Dive Deeper research on any story, and the full text of every article.
Create free accountAlready have an account? Sign in