Answer #1 is called the Novikov self-consistency principle.
Basically, it says time paradoxes can't exist because, in very simple terms any localized changes you made would ether not affect your posibility of time travel (going back in time to place a letter on the moon that won't be discovered until after you return from your trip) or make travel completelly impossible (going back in time with the intent of killing yourself).
Someone mentioned Terminator and the imposibility of the machines to kill John Connor due to this problem. It's even worse than that. The Terminator series EXISTS in a paradox: John Connor only exists because the machines sent a Terminator to prevent his birth.
As for traveling in time being impossible, and only multiverse theory making it possible, that's not quiet right. There a places in OUR universe where time can go backwards; they are called black holes. Also, by bending space you can effectivelly travel back in time, too.
Basically, it says time paradoxes can't exist because, in very simple terms any localized changes you made would ether not affect your posibility of time travel (going back in time to place a letter on the moon that won't be discovered until after you return from your trip) or make travel completelly impossible (going back in time with the intent of killing yourself).
Someone mentioned Terminator and the imposibility of the machines to kill John Connor due to this problem. It's even worse than that. The Terminator series EXISTS in a paradox: John Connor only exists because the machines sent a Terminator to prevent his birth.
As for traveling in time being impossible, and only multiverse theory making it possible, that's not quiet right. There a places in OUR universe where time can go backwards; they are called black holes. Also, by bending space you can effectivelly travel back in time, too.