@tomr,
Quote:Since space is increasing between particles as the universe expands, and there are infinite particles, we could conclude the volume would be infinite after a finite amount of time.
Wow Tom, that's 'way beyond me but even so, still sounds fishy
Quote:I go back and forth on the idea of infinity as something that is apart of objective reality. The concept is definitely useful in mathematics and science.
suppose so; but the idea of all those Dales and Toms somehow engenders doubt
Quote:Is there a reason you chose a galaxy as the requirement for identicalness?
Purely arbitrary
Quote:
Tom you have to explain that. I presume by "twin galaxies" you mean them identical but I thought we had already agreed that with interacting fields they couldn't be
Quote:I meant identical in appearance to an observer in one of the twin galaxies (galaxies that are either identical or very very near identical).
I'd suppose that if they were close enough together that they could see each other, the similarity might be quite a surprise but they couldn't be identical given the interacting fields
Quote:What about a human being, could infinite identical human beings be created?
That's my q. Given an analog Universe perhaps not. But as I said before we could have an infinite number of galaxies so nearly identical that the difference is not detectable
Quote:Or infinite identical meteorites.
Infinite numbers of identical anything, in steps of maybe one quantum
Quote:To me these seem more likely to be identical since they are smaller.
Meaning there would be more of such identical rocks within a given volume of space. But still given an infinite number of such volumes…..
Quote:But these too could not be isolated from the fields of surrounding objects.
Yes that's a point that has long bothered me too; although it doesn't rule out objects so nearly identical as to be indistinguishable
Still nobody has satisfactorily addressed the basic q and that is, how nearly identical could two or more objects become in my infinite Universe, and I think the answer lies in "the math of infinity" (whatever that means)