Time Travel! A thing of the past...?

Ahh time travel, i can't wait until the figure it out, well i shouldn't have to because if they figured it out in the future then surely they would have come to the past and told us the secret but seeing as how no such thing has happened yet that means we will never discover the secret to time travel... or we are all selfish gits in the future!

Anyways, I wanted to talk to you about the age old dilemma of killing your grandfather in the past, the 'Grandfather Paradox'. ( Oh and remember i am talking about the theory of time travel, not time travel its self, trust me they're two completely different things. In the theory of time travel logic still applies whereas in actual time travel logic breaks down and is thrown out of the window.*Poof* not that it hasn't already... ) Anyway, it goes like this: If you went back in time and killed your own grandfather, you yourself would cease to exist. But! if you where able to go back in time and kill your grandfather then you wouldn't exists. But if you didn't exist then no one would have been around to kill your grandfather in the first place which enabled you to be born and then go and kill your grandfather ect ect as you can see it goes on for ever. Basically to kill your grandfather and therefore kill yourself would be rather illogical and by the laws of logic and reasoning rather impossible. But then again its just the theory of time travel. We could carry this conversation on for ever.

By Dan's explanation, this would mean you would be trapped in a time-space loop, meaning normal life would not be able to continue, as everything would be trapped in this loop forever. So i think that the best thing in this situation would be not to kill you grandfather in the past; but kill him in the present if you have that much of a grudge on him.
I Like paradoxes though, they are used quite a lot in literature as Oscar Wilde famously said: "I can resist everything except temptation." I believe this is so true for me, as I live by that quote. In Shakespeare he says "though this be madness, yet there is method in’t". Oh the joys ^__^. Although back to time travel, I would like to point out about "Bill and Teds excellent Adventure" if anyone remembers that. Bill and Ted are constantly realizing that their plans are foiled by the lack of a certain item, decide to later travel back in time and deliver themselves the necessary item, often indicating a specific place in which the item will appear. Upon searching the location, the item is invariably there. So it could help in the future.