4 ms·
You can have set theories that allows sets to contain themselves without allowing Russell's Paradox. You can read about non-well-founded set theory[1] if you're
by tikhonj 3y ago
You can have set theories that allows sets to contain themselves without allowing Russell's Paradox. You can read about non-well-founded set theory[1] if you're curious.
[1]: https://en.wikipedia.org/wiki/Non-well-founded_set_theory https://en.wikipedia.org/wiki/Non-well-founded_set_theory
- hackandthink 3y agoI like the diagram of "the set containing itself". It illustrates non-well-foundedness niceley.
- l33t7332273 3y agoWhich diagram are you referring to?
- hackandthink 3y agoThis one: https://abuseofnotation.github.io/category-theory-illustrated/01_set/set_contains_itself.svg https://abuseofnotation.github.io/category-theory-illustrate...