Your explanation of why a powerset of a countable set is not countable didn't make intuitive sense to me, but wikipedia concurs ( http://en.wikipedia.org/wiki/Cantor%27s_Theorem ): ...the power set of a countably infinite set is uncountably infinite...
You've made an excellent and entirely counter-intuitive observation, sir.
You've made an excellent and entirely counter-intuitive observation, sir.