I was recently listening to a podcast about Godel's incompleteness theory. I don't claim to fully understand it, but I do find it very interesting. As i understand it, his theory states that mathematics is not perfect and has contradictions. One such contradiction is the shaving problem. I don't know if we have any mathamaticians here, but we have a lot of people who know a lot about shaving. So I thought some of you might like to have a crack at the shaving problem.
So here it is.
There is an island and every man on this island shaves, there are no beards.
There is a barber on the island who shaves some of the men.
Some of the men do not shave themselves.
The barber shaves all the men who do not shave themselves.
The barber does not shave any of the men who shave themselves.
Because he is a man on this island the barber shaves himself.
But as the barber he does not shave any man who shaves themselves.
And so the contradiction

So can anyone make sense os this, or does it make your head hurt?