Originally Posted by

**DrRocket**

The way you state it, in terms of the barber, captures the flavor, but is really more of a semantics problem, typical of self-referential sentences. But such self-referential sentences are at the heart of Russel's paradox and Goedel's incompleteness theorems.

You might want to "Google" the Banach-Tarski paradox, which is not a paradox at all, but rather a surprising theorem.

You might also want to look into the several Zeno paradoxes, which also are not paradoxes but rather examples of poor reasoning.