382
submitted 2 months ago by silverchase@sh.itjust.works to c/mathmemes
you are viewing a single comment's thread
view the rest of the comments
[-] sushibowl@feddit.nl 25 points 2 months ago

Then again, I thought 1+1=2 is axiomatic (2 being the defined by having a count of one and then another one) So I don't understand why Bertrand Russel had to spend 86 pages proving it from baser fundamentals.

Well, he was trying to derive essentially all of contemporary mathematics from an extremely minimal set of axioms and formalisms. The purpose wasn't really to just prove 1+1=2; that was just something that happened along the way. The goal was to create a consistent foundation for mathematics from which every true statement could be proven.

Of course, then Kurt Gödel came along and threw all of Russell's work in the trash.

[-] UnderpantsWeevil@lemmy.world 3 points 2 months ago

Someone had to take him down a peg

[-] tetris11@lemmy.ml 2 points 2 months ago

Smarmy git, strolling around a finite space with an air of pure arrogant certainty.

[-] silasmariner@programming.dev 3 points 2 months ago

Saying it was all thrown in the trash feels a bit glib to me. It was a colossal and important endeavour -- all Gödel proved was that it wouldn't help solve the problem it was designed to solve. As an exemplar of the theoretical power one can form from a limited set of axiomatic constructions and the methodologies one would use it was phenomenal. In many ways I admire the philosophical hardball played by constructivists, and I would never count Russell amongst their number, but the work did preemptively field what would otherwise have been aseries of complaints that would've been a massive pain in the arse

this post was submitted on 20 Oct 2024
382 points (100.0% liked)

Math Memes

1606 readers
2 users here now

Memes related to mathematics.

Rules:
1: Memes must be related to mathematics in some way.
2: No bigotry of any kind.

founded 2 years ago
MODERATORS