Re: [math-fun] Publishing new proofs of old results

Q: How does Mathematics treat papers which are new proofs of old results?

It depends on how different the techniques are. My memory (which I am unable to confirm by web searching) says that in 1957 someone named Reed proved that differentiable = analytic in the complex domain without using the Cauchy integral theorem. People had been trying to do it for years without success and that was considered very significant. I also believe that a lot of algebraic topology in mid 20th Century was an attempt to get known geometric results by purely algebraic techniques. Whit