Paradigms succeed when you can strip them for parts

I'm speaking at DDD Europe about Empirical Software Engineering!1 I have complicated thoughts about ESE and foolishly decided to update my talk to cover studies on DDD, so I'm going to be spending a lot of time doing research. Newsletters for the next few weeks may be light.

The other day I was catching myself up on the recent ABC conjecture drama (if you know you know) and got reminded of this old comment:

The methods in the papers in question can be used relatively quickly to obtain new non-trivial results of interest (or even a new proof of an existing non-trivial result) in an existing field. In the case of Perelman’s work, already by the fifth page of the first paper Perelman had a novel interpretation of Ricci flow as a gradient flow which looked very promising, and by the seventh page he had used this interpretation to establish a “no breathers” theorem for the Ricci flow that, while being far short of what was needed to finish off the Poincare conjecture, was already a new and interesting result, and I think was one of the reasons why experts in the field were immediately convinced that there was lots of good stuff in these papers. — Terence Tao

"Perelman's work" was proving the Poincaré conjecture. His sketch was 68 pages of extremely dense math. Tao's heuristic told him it was worth working through is that it had interesting ideas that were useful to other mathematicians, even if the final paper was potentially wrong.

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