I saw this one in an anime.

 

The enigmatic giant blocked the bridge and said:-

 

To cross this bridge you must make a statement, if what you say is a lie I will strangle you with my bare hands, if what you say is the truth I will stab you with my sword.

 

What do you have to say to cross this bridge?

 

You will strangle me

 

If you try to stab me with your sword, I will shoot you in the head with my gun : )

Tres Juicy, it looks like you've seen the episode.

No, but I do like these types of puzzle.

 

Look up the hardest logic puzzle ever

Tell him - you strangle me with his bare hands.

"alternate trousers are not commutative"

I say nothing. Instead I attack the giant and take his eye. Without his eye the giant is now a gant. I place the enigmatic glove on my hand and proceed across the bridge.

I am tall.

It's a variation of the Liars Paradox.

 

http://en.wikipedia.org/wiki/Liar_paradox

 

http://en.wikipedia.org/wiki/G%C3%B6del's_incompleteness_theorems#Relation_to_the_liar_paradox

Tres Juicy, it looks like you've seen the episode.

It's a pretty famous riddle.

I'm telling a lie.

I will say you will strangle me with your bare hands. This way the It would create a paradox:

 

He strangles me if I lie, but if he will strangle me than what I am saying is not a lie.

He will kill me with sword if I am telling the truth, but since I said he will strangle me, that cannot be the truth either.