this post was submitted on 26 Mar 2024
118 points (88.3% liked)
Asklemmy
43833 readers
845 users here now
A loosely moderated place to ask open-ended questions
Search asklemmy ๐
If your post meets the following criteria, it's welcome here!
- Open-ended question
- Not offensive: at this point, we do not have the bandwidth to moderate overtly political discussions. Assume best intent and be excellent to each other.
- Not regarding using or support for Lemmy: context, see the list of support communities and tools for finding communities below
- Not ad nauseam inducing: please make sure it is a question that would be new to most members
- An actual topic of discussion
Looking for support?
Looking for a community?
- Lemmyverse: community search
- sub.rehab: maps old subreddits to fediverse options, marks official as such
- [email protected]: a community for finding communities
~Icon~ ~by~ ~@Double_[email protected]~
founded 5 years ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
Russel's paradox is so wild. Set theory was supposed to unify mathematics and logic into a single coherent system and Russel was like actually, no.
And honestly, the story isn't over. We brought axioms into set theory after that, but Godel showed that that was never going to be a cure-all, and people like Woodin later on have added to the pile. At this point, you can have two totally reasonable axioms which don't just prove different things, but actually can prove opposite answers about the same thing.
I think it's fair to say even platonism is starting to look a bit threatened at this point, and there's people (the Sydney school) who want to go back to looking at math as descriptive rather than ideal. Finitism is also worth a look, I think, and avoids things like Russel's paradox easily, although interestingly MIP*=RE implies that there may be directly measurable infinities in quantum mechanics.