A Look Back at Research from 1875

bcmullins.github.io

22 points by wannabebarista 5 days ago


wannabebarista - 5 days ago

This is a fun side project I've been working on now for a few years that looks back at research from 100, 150, and 200 years ago. Some stuff is well-known, others have been forgotten, and still others were never read at the time.

I've had lots of great suggestions from HN readers in the past. If I've missed anything cool that you like, please share!

kibwen - 2 days ago

These are great! I'd read an entire book of this. Especially interesting would be to summarize, decade-by-decade, the prevailing themes, trends, and focuses.

lmm - 2 days ago

> Within the scope of mathematical logic, there’s a counterexample with Gödel’s first incompleteness theorem, which says that any theory sufficiently strong enough to model arithmetic contains a true sentence that’s not provable, called a Gödel sentence for the theory. The Gödel sentence is verifiable by its construction; however, it’s not provable from below.

I don't think this is a valid counterexample. The Gödel sentence is only verifiable from outside the theory, and you can prove it from outside the theory in the same way (e.g. with a large cardinal assumption for ZFC).