PeterDonis said:
I do.I don't. This does not follow. See, for example,
@martinbn's argument in post #26, and my response in post #38 to a counter-argument from
@PAllen. You have not addressed those points at all.This isn't a matter of anyone "choosing". You can't just wave your hands and make claims. You have to support them with arguments. So far you have not given any arguments, just repeated assertions. If that's the best you can do, we'll just close this thread.
Post 26:
"Say the space is R3, the each such conversation happens in a small part of space and we can assume that all these parts are disjoint. The in each of them pick a point with rational coordinates. This way you get a bijection of all conversation places and some points with rational coordinates. These points are countable."I do not follow this. I have no idea what the R3 is. I don't know what "disjoint" is. Is that supposed to be "disjoined" I have no idea if the poster just speaks (or types LOL) bad English or that is supposed to be some technical term. The second sentence is obviously missing at least a word or two. Have no clue what "bijection" is.
Maybe translate that into plain English so I can understand it? More than happy to shoot it down!Post 38:
"But conversations don't happen in isolation. They happen as part of a larger history, for example, the history of Earth since its formation. And the repetition argument would ultimately have to apply to histories to have any force. But if histories are open-ended to the future, then you can't impose a finite time limit on them, and you can't say that any history must be repeated elsewhere in an infinite universe."
I could have SWORN I already answered this. Yes, the repetition argument would have to apply to history. Yes, histories are open ended. A universe that started all at the same time but was infinite in expanse would have infinite number of histories. And right this second, an infinite number of them would be having this precise conversation (and an infinite number would not be). A slip second later, an *infinite* number of those infinite number that were a split second earlier having this precise conversion would diverge from our own, but an *infinite* number would still be having this very conversation! That is the nature if INFINITE. It is not a large number, that is what follows from the word and meaning of infinite.
Nobody is limiting any time on any thing, you just made that up.
"This isn't a matter of anyone "choosing". You can't just wave your hands and make claims. You have to support them with arguments. So far you have not given any arguments, just repeated assertions. If that's the best you can do, we'll just close this thread."
I'm telling you what infinite means. You (or maybe not you, others here, I lose track), don't seem to grasp it. I'm telling you what the logical conclusion of saying "the universe is infinite in expanse" has to be (unless, like I said, you were to say something like "the universe only has the properties we see in our visible universe, in our visible universe". Infinite is not, like so many here are thinking, some really really REALLY big number. It means keep going, over and over again, FOREVER. So of course in an infinite universe we would be having this exact conversation elsewhere. It naturally and logically follows.
Let me say it another way:
In an infinite universe, whatever is possible, will happen not once, not twice, but an infinite number of times.
Do you actually disagree with that statement? If so, please explain in simple terms how it is wrong!