Closed PeepNSheep closed 10 months ago
You're right that the first one makes no sense. But your replacement isn't a well-formed formula. I think you meant (\not !A \lif \lfalse) \lif !A
.
You're right that the first one makes no sense. But your replacement isn't a well-formed formula. I think you meant
(\not !A \lif \lfalse) \lif !A
.
Good catch. I just fixed the typo.
Thanks!
By the BHK interpretation, $\lnot \varphi$ is a shorthand for $\varphi \implies \perp$. The original statement was just the definition of negation in intuitionistic logic, not the LEM.