3 ms·
In which case every logical statement belonging to the set of “statements that begin with `∀ e ⊂ ∅` and are false” is true as well.
by thih9 3y ago
In which case every logical statement belonging to the set of “statements that begin with `∀ e ⊂ ∅` and are false” is true as well.
- jraph 3y agoYes. Try me and find one single counter example to contradict me :-) (edit: You could try something like ∀ e ⊂ ∅ ∨ ⊤ - adding "or true" at the end - but that's not really what littlestymaar meant)
- littlestymaar 3y agohttps://en.wikipedia.org/wiki/Russell%27s_paradox https://en.wikipedia.org/wiki/Russell%27s_paradox
- jraph 3y agoNot sure it's related, this set of statements is not about statements containing themselves or the set itself. You need a set of sets for the Russell paradox to have chances to kick in.