The duration of a moment is 0. How many moments are in any length of time? An infinite amount.
So there is the same number of moments in a millisecond and a millennium?
Two points. First, infinities are numbers but a special kind of number, different from finite numbers, as indeed the names just say. We need to take that into account, in particular whenever our perception and understanding of the world come to be concerned.
Second, to take moments as of zero duration is a mathematical abstraction. So, here again, we need to look at how we experience moments. In particular, I doubt very much that humans, or any living organism, could experience any moments of zero duration. It seems obvious that our experience is of moments of a few milliseconds at least, possibly more. I wouldn't know exactly, but I suspect there must be some scientific results here. And we probably have different cognitive processes with different values.
Then time really is an emergent property of human perception.
In effect, yes, it is. I think we need to distinguish three things. First, our subjective experience of time, which is definitely an object emerging from our brain processes.
Second, the mathematical abstractions we use to represent time. That's just an abstraction that may or may not fit real time, if any.
Third, something that would be actual time, if there is such a thing.
And then, there's the science of time, whereby we try to connect and relate these three very different things.
I’m a little confused - is it all semantics?
If that’s the case, infinity’s utility in descriptions and math make it just as “real” as any other number or word.
I think the debate is still going on between those scientists who see science as an effort to describe reality, and those who think it's good enough for science to be useful in practical terms.
Me, I would think that assuming time has a finite number of moments in one second should be good enough for practical purposes, whether time is continuous or not. In both cases, we wouldn't see the difference in terms of our ability to measure the real world, provided this number is large enough.
Still, we would need to be able to agree on a particular number. But, who knows how large it should be? Anybody out there prepared to venture a particular figure?
If we can't agree on a figure, assuming infinity seems just as effective to me.
EB