Paradoxes, statements that somehow seem both true and false or otherwise self-contradictory, have always been a favorite topic among math geeks. They seem to indicate cases where our desire for airtight logic and mathematical precision runs headlong into a brick wall. Often they show some kind of previously misunderstood limitation in the logical structures we have been building, or some kind of fundamental disconnect between our human languages and the underlying mathematics.
There are also some cases that seem like paradoxes at first due to limitations of our intuition of our linguistic description, ...
