GE
Gertie wrote: ↑Yesterday, 5:27 pm
I struggle with infinity, but re Xeno isn't the point that to move from point A to B, which can lie anywhere along a timeline, the distance can always be halved, an infinite number of times? Effectively creating never-endingly closer 'first' points. So if the closest point is never-endingly divisible, it might as well be never-endingly far away? In which case nothing can ever change its position and we're in a static universe.
(I don't believe we are in a static universe btw, the point is that our logic can't resolve such apparent paradoxes).
Aristotle dealt with those paradoxes pretty well. He distinguished between "actual infinities" and "potential infinities." Actual infinities are those present in the external world; potential infinities are those that arise via our method of describing the world. E.g., the "points" on a line don't represent particles or any other physical or phenomena; they exist as concepts --- mental constructs --- only. A given point on a line is just a ratio of a portion of the line to its total length; not a physical "thing" or place. Physical motion is not constrained by such imaginary artifacts.
The points between location A and B represent real locations too tho.
The archer shoots the arrow from actual location A and it arrives at actual location B. But there are an infinite number of actual locations between location A and B, if the distance between any two actual locations can always be halved, creating a new actual location to reach, from the first moment of travel. It looks like a genuine real world paradox to me?
The same goes for time. If I move through time, the moment now to moment one hour from now is comprised of an infinitely divisible number of moments, so I can't move through time.
So back to the infinite universe. If nothing can move then the universe is static, not expanding. If nothing can move then nothing can change, time is meaningless anyway, imo. But if itime is somehow a thing in itself which flows onwards towards the future in a static universe, then it's in the same quandary of having to traverse infinitely divided moments.
Re a 'bounded expanding universe', if you take Bahman's position that the universe must be infinite because a created universe isn't logical, then if we apply the notion of infinity to the size of the universe we hit a paradox too. If the universe is infinite, it is everything, and if it's everything (including space) there's nothing for it to expand into, but it seems to be expanding.
I agree that if "the universe" is construed to mean, "everything that exists or has ever existed," then its creation is not logical; for that would entail that something was created from nothing.
Right, as far as our human 'in-universe'' logic' goes. But my point is our concept of what is logical derives from our observations and theorising on how our universe works (I think this might mean I'm with you on that 'metaphysics' doesn't really add anything, not sure exactly what metaphysics is to be honest, it's still on my list). To us, nothingness can't do anything. But we can't know anything about what does or doesn't lie 'beyond' what we can identify as our universe. What the rules are, how it works, if something can come from nothing, and whatever else might imaginably/unimaginably be going on. Or not.
It might be like expecting an ant to understand the standard model of physics. It doesn't have the toolkit.
Physicists, however, don't give that term so wide a scope; they consider it to be finite, with a size constrained by the speed of light (matter could only have traveled so far in the ~14 billion years since the Big Bang). If it is finite there is no problem with expansion --- it creates more space as it expands. It doesn't need space in which to expand --- it expands into nothingness (we can only speak of "space" when we have 2 or more separated entities).
I'll happily assume they know better than me, most 14 year olds probably understand cosmology better than me
. But... if nothingness has the quality of 'able to be expanded into', we're already saying something about its nature, and starting to blur the concept of nothing...
Again, my point is that a universe created from nothing and an infinite universe
both have logical probs. But if we remember that our logic arises from noting how our universe works, it isn't necessarily going to work when we're addressing issues of the universe's creation or infinity.
We can and should have a go at applying our logic to the question, but if our logic could handle it, we'd probably have cracked it.