Theoretical resolution of "intuitively obvious" paradoxes such as these are important. If we cannot find a theoretical resolution, it can indicate a flaw in ou

Theoretical resolution of "intuitively obvious" paradoxes such as these are important. If we cannot find a theoretical resolution, it can indicate a flaw in our theories, and that will likely provide a more accurate set of theories. The problems around the speed of light gave rise to Einstein's theories of relativity. Another of those flaws ("the set of all sets that are not members of themselves") gave rise to modern set theory and formal logic. Still a nice quote from Einstein though :-)