On: Gödel's Incompleteness Theorem explained

[cop359]

Seems like a silly paradox. Why is it important?

Also it seems very similar to this famous paradox: (from 600BC btw.) http://en.wikipedia.org/wiki/Epimenides_paradox

[rcthompson → cop359]

Constructing the paradox is just the means of proving the theorem. The paradox itself is not particularly important. Also, the paradox in Godel's theorem is "This statement is unprovable" not "This statement is false".