>>12502128>why don't you plot it on a graphHere's the very most simple difference between the two
>Smaller than an infinityAn infinity is nothing but more of the same. "1" does not magically appear once a certain number of "9"'s are added to 0.99...
If the change occurs at any point, it must occur prior to hitting infinity, since it is impossible for anything to hit infinity. There isn't infinite *anything* out there. Not even infinite interactions between subatomic particles.
>Taylor seriesI read that page and it didn't include even one real-life thing in it, just pure math. Those are just a bunch of symbols that can mean whatever the author wants them to mean, they're not real events. No, you show me an infinite line -- a real infinite line. Something which has no beginning and no end. In real life. Not another mathematical construct that doesn't mean anything at all.
> everything I said still applies because it can be done with pure mathThat is exactly the thing. It's pure math. It doesn't apply to reality at all. It's meaningless nonsense.
>try moving to an infinite multiverse and repeating the experiment.There is no multiverse that the person can go to which will magically turn the "9's" into a single "1", unless by some stroke of luck all "9's" in that universe do magically turn to a single "1", but that doesn't seem a reasonable road to go down. Given literally infinite time in infinite multiverses, the 9's will never become 1. You make it 1 out of convenience, not because it is true.
>It can be applied to the set of real numbers, though.Numbers are only meaningful when applied to real objects. If it has no application to reality then it is worthless drivel.
>It is a demonstration that the same thing can be written two different ways and that infinite series can converge to finite values.The numbers work that way because they're defined to work that way, not because they're reflective of anything in reality.
