Zeno's paradox was resolved when some clever fellows invented calculus. The coastline paradox became somewhat more tractable with the discovery of fractals. And some we're stuck with, at least for the moment - Grelling's paradox, inter alia (my Latinate contribution for the evening), is a real bastard in first-order logic, and not much fun in higher-order logics either. Feel free to take a whack, if you like - if you're paradox-free, you must have something extremely clever up your sleeve. ;)
== the "Cretan" paradox;
== "Russell's paradox
If "heterological" describes words that do not describe themselves, is "heterological" heterological?
"All Cretans are liars.
I am a Cretan."
Etc.
Certainly nothing new; Kurt Godel used it to good effect.
--Boris