RE: Actual Infinity in Reality?
February 14, 2018 at 11:16 pm
(This post was last modified: February 14, 2018 at 11:17 pm by GrandizerII.)
(February 14, 2018 at 11:14 pm)RoadRunner79 Wrote:(February 14, 2018 at 11:08 pm)Grandizer Wrote: Wiki articles tend to be a confusing mess, and it's not always clear who is saying what, and in response to what, and in what context.
Yes, mathematical infinity doesn't automatically translate to physical infinity but, short of evidence to the contrary, it does mean that it is at least possible in the actual world. If there are logical constraints in the physical world that would prevent an actual infinity from being a thing, what are they then? Point them out if you have any.
Why can't a physical infinity have ALL the elements present already? Maybe your problem is that you're focusing on the "ends" too much and thinking about how you are able to get there? How about thinking the elements are all there, but as for whether or not I can go through them one by one is another story?
You don’t see a problem in having all the elements present, and it being infinite. If the are all there, then they are limited and thus finite. You still have a contradiction.
They are all there, but there is an infinite number of them. That's what makes it an infinity.
I'm not arguing that it's intuitive, btw. Just saying that there is no logical problem with it.