Thank you, Mentat, I’m glad to be here.
I think “predestined” is not precisely the term to be used here, since it implies that events are set on stone, or that we cannot alter time events because they are already determined. But as I said before, it is exactly our deliberations and actions that determine the way things are, were or will be. I’m not arguing that whatever we do is futile.
For example: suppose a visitor were to arrive here and now from the year 2045. He shakes my hand, and then sits and chats with me about what is in store during the next years. I take notes and record them in my diary. A year from now, I even publish some of these notes. The visitor from the future (year 2045) has not changed the past (i.e. the past relative to the year 2045): he has contributed to making the past just the way it was. By traveling back to the year 2003, he caused certain events to occur in 2003 and in 2004. Nothing was changed from the way it was; but the past was changed from the way it would have been if he had not traveled back from 2045 to 2003.
…it doesn't really effect the paradox that I've been talking about (which is that, if you travel to a moment before the time you start travelling, then you haven't started traveling yet, so how did you get to where you are?). Can you see some way how it could be applied to my paradox? Or are they unrelated?
I see that what you’re talking about is not the same kind of time travel that most of us here are referring to. You’re referring to time travel from your own three dimensional perspective, that is, to time travel in a manner that you would revive past experiences in a first person basis, but that sort of time travel is meaningless. Since your mind and rest of the body, would also be pushed backward or forward in time, therefore you wouldn’t remember of whether you time traveled or not. Actually, from that perspective you haven’t time traveled at all (no pun intended).
In the simplest view of time travel, paradoxes are a given possibility. If (time travel) paradoxes could exist in reality is something we couldn't know until we have time travel to play with. Since reality does tend to abhore paradoxes, I suspect you are right, however just assuming that a paradox cannot occur is an assumption. You cannot use this assumption to prove itself.
Well, at least it is theoretically right until confirmed by hard evidence.
You seem to have discovered paradoxes and are trying to prove that it cannot occur because it is a paradox. The whole reason things are paradoxes is that they produce a logical impossibility. By this reasoning, all paradoxes have NO POSSIBILITY of occurring. This is an argument flaw. You cannot acknowledge that paradoxes are defined as logical impossibilities, then use that definition to prove them impossible. The key aspect of paradoxes involves the exacting conditions that require them. This generally involves mathematically precise declaration of conditions - under such conditions a paradox is required under the conditions specified. That doesn't mean that the paradox will translate into reality.
Does it seem that way? Believe me, I didn’t take my conclusions out of such a vague reasoning. In fact, the reason why I consider the grandfather paradox as illogical is because the argument explicitly commits a modal fallacy. Let me explain:
Since it is possible that someone should have prevented your grandparents from having met one another, and since it is impossible for you to travel into the past and to have prevented your grandparents from having met one another, you conclude that it is thus impossible to travel into the past. Let "P" stand for "preventing your grandparents from meeting" and "T" stand for "travel into the past" (patched up as needed to be proper statements). Then the argument is:
#P
~#(T & P)
---------------------
therefore ~#T
The argument is invalid. From the conjoint impossibility of T and P, and the possibility of P, the impossibility of T does not follow. (Just to drive the point home, now let "T" stand for "the coffee table is four-sided" and let "P" stand for "the coffee table is six-sided".)
Arguments like the “grandfather paradox” have been persisting for ages, they are especially tricky because they involve what are called modal concepts, in particular the notions of possibility and impossibility.
Of course a time machine which allowed one to change the past is logically impossible, but making that the (unrealizable) goal is to trivialize the problem, to pose it in a question-begging manner, to stack the deck. Even if one does stack the deck in this way, there still remains the question: Is it logically possible to build a time machine which allows travel into the past where one does not change the past? And the answer to this latter, nontrivial, version of the question is: yes.
What is logically impossible is that BOTH one travels into the past AND changes the past (from what it was). But so long as one does not change the past, there is no logical contradiction in positing travel into the past.
The implication of the above statement is time travel isn't possible, since the time traveler just being there (in the past), is a change in what occurred. A presumption that this is not the case is required to consider time travel.
Allow me to say that your quoting of my statement is incomplete, because I also said that although we cannot change the past, we can change the past from the way it might have been. When I argue for the logical possibility of travel into the past, I do not mean as a disembodied watcher of past events. I mean as a 'real' participant in the activity of the past.