Originally posted by epiphinehasHow does statement '3' follow from '2' ???
1. In order for the present moment ..., temporal existence would have to pass through an infinite number of prior events
2. i.e., in order for the present moment to occur, the event immediately prior to it would have to occur, and the event before that, ..., ad infinitum),
3. Making and beginning-less since this would make the observation of present events an impossibility.
Originally posted by wolfgang59P1: "...In a beginning-less universe, temporal existence would have to pass through an infinite number of prior events (i.e., in order for the present moment to occur, the event immediately prior to it would have to occur, and the event before that, and the event before that, ad infinitum), making it impossible for any event to occur."
no. I've just numbered the statements in your argument for clarity and stopped
at the problem. I don't see how "3" follows from "2". Can you make it clearer
please?
P2: "But, obviously, events do occur, and do so successively."
C: "Therefore, it cannot be the case that the past is infinite and beginning-less since this would make the observation of present events an impossibility."
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You left out a key premise (P2). The conclusion follows from both premises P1 and P2. The statement in parenthesis (which you made "2" ) is a reiteration of P1.
Originally posted by epiphinehasAt least you are trying to be logical now.
P1: "...In a beginning-less universe, temporal existence would have to pass through an infinite number of prior events (i.e., in order for the present moment to occur, the event immediately prior to it would have to occur, and the event before that, and the event before that, ad infinitum), making it impossible for any event to occur."
P2: "But, obvio ...[text shortened]... es P1 and P2. The statement in parenthesis (which you made "2" ) is a reiteration of P1.
However P1 contains at least two premises (so if you argue "reductio ad
absurdum" that would mean either one or both were wrong) and a conclusion
making it impossible for any event to occur.
Can you please have another bash at it?
Thanks. 🙂
Originally posted by epiphinehasAs wolfgang59 asks, I would like to see the actual argument for the claim "making it impossible for any event to occur."
P1: "...In a beginning-less universe, temporal existence would have to pass through an infinite number of prior events (i.e., in order for the present moment to occur, the event immediately prior to it would have to occur, and the event before that, and the event before that, ad infinitum), making it impossible for any event to occur."
Originally posted by epiphinehasI had presented the paradox in a different form:
But the half-way points in Zeno's paradox aren't actual. You can't just say, "well, what if they are actual..." and expect your critique to suddenly hold more water. It's like saying, what if unicorns existed. Well, yeah, if unicorns existed, I'd have to admit they are comparable to horses. But, given unicorns don't exist, it's an irrelevant point.
I think to be a more accurate analogy, suppose I claim that I arrived at the current point in time by first going through yesterday, and half the day before that, and a quarter of a day before that, in an infinite sequence. If epiphinehas is to be believed, then I could not possibly be here, even if time is finite.
So are you claiming that time is necessarily quantum?
Originally posted by wolfgang59I'll do my best.
At least you are trying to be logical now.
However P1 contains at least two premises (so if you argue "reductio ad
absurdum" that would mean either one or both were wrong) [b]and a conclusion
making it impossible for any event to occur.
Can you please have another bash at it?
Thanks. 🙂[/b]
P1: In a beginning-less universe, for any event to occur an infinite number of sequential prior events must occur.
P2: In a beginning-less universe, for any event an infinite series of prior events would take an infinite length of time to traverse.
P3: It is impossible to arrive at the end of infinity.
P4: Events occur.
C: Therefore, the universe had a beginning.
Originally posted by epiphinehasPlease explain/justify P3.
I'll do my best.
P1: In a beginning-less universe, for any event to occur an infinite number of sequential prior events must occur.
P2: In a beginning-less universe, for any event an infinite series of prior events would take an infinite length of time to traverse.
P3: It is impossible to arrive at the end of infinity.
P4: Events occur.
C: Therefore, the universe had a beginning.
Explain how it doesn't rule out the existence of the integer 0, given that there are an infinite number of negative integers ie explain where you used some property of time in your argument that does not apply to integers.
Originally posted by epiphinehasP1 agreed
I'll do my best.
P1: In a beginning-less universe, for any event to occur an infinite number of sequential prior events must occur.
P2: In a beginning-less universe, for any event an infinite series of prior events would take an infinite length of time to traverse.
P3: It is impossible to arrive at the end of infinity.
P4: Events occur.
C: Therefore, the universe had a beginning.
P2 is not strictly true but it does not matter for this argument.
P3 true (but I do not see the relevance)
P4 true
It seems to me your argument - as I pointed out before - is trying to prove
that the origin in Cartesian coordinates does not exist because both the x and y
axes extend back infinitely in the negative.
"All the evidence seems to indicate, that the universe has not existed forever, but that it had a beginning, about 15 billion years ago. This is probably the most remarkable discovery of modern cosmology. Yet it is now taken for granted. We are not yet certain whether the universe will have an end." -- Stephen Hawking
http://www.hawking.org.uk/the-beginning-of-time.html
Originally posted by twhiteheadI don't see the relevance of integers here (perhaps you can explain that). The proposition seems obvious otherwise. Were it possible to arrive at the end of infinity, it would not be infinity, by definition.
Please explain/justify P3.
Explain how it doesn't rule out the existence of the integer 0, given that there are an infinite number of negative integers ie explain where you used some property of time in your argument that does not apply to integers.
Originally posted by RJHinds
[b] "All the evidence seems to indicate, that the universe has not existed forever, but that it had a beginning, about 15 billion years ago. This is probably the most remarkable discovery of modern cosmology. Yet it is now taken for granted. We are not yet certain whether the universe will have an end." -- Stephen Hawking
http://www.hawking.org.uk/the-beginning-of-time.html[/b]
The universe will evolve from the Big Bang, completely independently of what it was like before. Even the amount of matter in the universe, can be different to what it was before the Big Bang, as the Law of Conservation of Matter, will break down at the Big Bang.
Since events before the Big Bang have no observational consequences, one may as well cut them out of the theory, and say that time began at the Big Bang. Events before the Big Bang, are simply not defined, because there's no way one could measure what happened at them. This kind of beginning to the universe, and of time itself, is very different to the beginnings that had been considered earlier.
Originally posted by epiphinehasThe integers are infinite in the negative direction. It appears to be your claim that the integer 0 is 'the end of infinity' in relation to the set of negative integers. If this is not your claim, then please explain further.
I don't see the relevance of integers here (perhaps you can explain that). The proposition seems obvious otherwise. Were it possible to arrive at the end of infinity, it would not be infinity, by definition.