Barber paradox

It was used by Bertrand Russell as an illustration of the paradox, though he attributes it to an unnamed person who suggested it to him.

[1] The puzzle shows that an apparently plausible scenario is logically impossible.

[1] Any answer to this question results in a contradiction: In its original form, this paradox has no solution, as no such barber can exist.

[3] This paradox is often incorrectly attributed to Bertrand Russell (e.g., by Martin Gardner in Aha!).

I once had a form suggested to me which was not valid, namely the question whether the barber shaves himself or not.

But in our previous form I think it is clear that you can only get around it by observing that the whole question whether a class is or is not a member of itself is nonsense, i.e. that no class either is or is not a member of itself, and that it is not even true to say that, because the whole form of words is just noise without meaning.This point is elaborated further under Applied versions of Russell's paradox.

Its truth value is false, as the existential clause is unsatisfiable (a contradiction) because of the universal quantifier

Another way to show this is to negate the entire sentence and arrive at a tautology.