Fun little game!(I bet you cant solve it!)

A crocodile steals a son from his father, and promises to return the child if the father can correctly guess what the crocodile will do. What happens if the father guesses that the child will not be returned to him?

A man goes back in time, and kills his grandfather before the grandmother can meet his grandmother. This means that one of the man’s parents will not have been born, and the man in turn, will not have been born. This would mean that he could not have traveled back in time after all, which means the grandfather would still be alive, and the traveler would have been conceived allowing him to travel back in time and kill his grandfather?

There are 1,000,000 grains of sand in a heap. If we remove one grain, it is still a heap. If we remove another grain, if it still a heap. If we continue removing one grain at a time, when we’re left with one grain, is that still a heap?

Epimenides, in a poem wrote: “The Cretans, always liars, evil beasts, idle bellies!” However, Epimenides himself was a Cretan. If Epimenides is a Cretan and a liar, then his statement, “The Cretans, always liars” is a lie. This means all Cretans are truthful, then Epimenides’ statement is the truth. The paradox will infinitely regress.

What happens when an unstoppable force meets an unmovable object? If the force moves the object, then it is not unmovable. If the force doesn’t, the force is not unstoppable?

If God is omnipotent and knows what we will do before he created us, how can we have free will?

These are all paradoxes. Some have solutions, others don't. Here are the rules.

1:No cheating!
2:A paradox is a seemingly true statement or group of statements that lead to a contradiction or a situation which seems to defy logic or intuition.
3:Don't get mad at me if you keep getting the answer wrong. It might not be right or have a solution. If your friend got your riddle wrong multiple times why would you say it was right?
4:Don't make things up for the paradox. You can have a question, but not a question with the answer in it.
5:This gets your mental juice going. Too long exposure to these paradoxes can give you headaches.

A crocodile steals a son from his father, and promises to return the child if the father can correctly guess what the crocodile will do. What happens if the father guesses that the child will not be returned to him?

Option one: father guess - don't give the child back, corocdile action - give the child back, outcome - the child is not given back. (father guess = false)
Option two: father guess - don't give the child back, corocdile action - don't give the child back, outcome - the child is given back. (father guess = true)
However there's something aspectly wrong in the question (duh! thats what makes it a paradox), the question should ask that the crocodile is *planning* to do.
As the question present it i can also say that the crocodile doesn't care about that the father will say, because if the crocodile doesn't plan on giving the child back and the fatehr guesses truely, the crocodile takes the child away.
Conclusion: fix the question.

A man goes back in time, and kills his grandfather before the grandmother can meet his grandmother. This means that one of the man’s parents will not have been born, and the man in turn, will not have been born. This would mean that he could not have traveled back in time after all, which means the grandfather would still be alive, and the traveler would have been conceived allowing him to travel back in time and kill his grandfather?

Not true (considering one of the red grandmothers is a grandfather).
Killing the grandfather stops the timeline for his bloodline, the grandfather is dead, thus the man is never born, true so far, but thats really the end of the story. If you follow this timeline you'll see the grandmother probably married someone els, since the grandfather is dead.

There are 1,000,000 grains of sand in a heap. If we remove one grain, it is still a heap. If we remove another grain, if it still a heap. If we continue removing one grain at a time, when we’re left with one grain, is that still a heap?

Have you ever heard the say "3 is a crowd"? Anyways, we will need an answer to this question first: how do you measure a heap of grains? I'll go by the saying and say that 3 grains are the smallest heap you can get.

Epimenides, in a poem wrote: “The Cretans, always liars, evil beasts, idle bellies!” However, Epimenides himself was a Cretan. If Epimenides is a Cretan and a liar, then his statement, “The Cretans, always liars” is a lie. This means all Cretans are truthful, then Epimenides’ statement is the truth. The paradox will infinitely regress.

This is again a very narrow minded statement. Assuming Epimenides is a liar doesn't necessarily mean all the Cretans are liars, it might be a part of the Cretans, it could be only one Cretan, and it could be that Epimenides is so frustrated with the fast that nearly all of the Cretan are liars to the point he says that all of them are, a lirical exaggeration as in many works of art.

What happens when an unstoppable force meets an unmovable object? If the force moves the object, then it is not unmovable. If the force doesn’t, the force is not unstoppable?

And what if something els happens? Like they cancel eachother and disapear from existance? Or maybe such a thing will create and alternate reality? Or maybe the unmovable force will absord all of the unstoppable forces' energy and they will trade places at the same moment, changing roles thus keeping eachothers existance? Hell, anything might happen!

If God is omnipotent and knows what we will do before he created us, how can we have free will?

Gods knowlage does not negate free will. On the contrary - he knows we will do those actions out of our free will. What do you have to say to this statement? Huh?!

=P
-By Magus's logic.