(February 22, 2016 at 10:26 pm)Living in Death Wrote:(February 22, 2016 at 9:34 pm)Tiberius Wrote: 0 doesn't equal infinity, simply because 0 is a valid number, and infinity is not. Infinity cannot be properly placed in any equation, so "0 = Infinity" makes as much sense (that is to say, none at all) as "1/0 = Infinity".
There are numbers which have an infinite amount of digits, for instance 0.111... but if infinity was equal to 0, then these numbers would have 0 repeating digits, which is obviously untrue.
0 is even though: https://en.wikipedia.org/wiki/Parity_of_zero
I personally find that down to interpretation whether it is valid or not. As I claimed before, it appears to primarily indicate a null space. Yet most calculations (at least most that I can conjure up in my mind) either have the 0 allowing a negligible effect or becoming an impossibility (eg. dividing by 0).
Though mathematics at this level is not particularly my strong suit, so I could easily be making simple work out of a not so simple issue. Your point about the reciprocal decimals is a very strong counter argument, by the way.
(February 22, 2016 at 9:39 pm)SteelCurtain Wrote: Yeah it's a pretty easy contradiction to show inductively, as well.
You can't assume something in a proof that is itself a contradiction, namely that zero has no mathematical meaning or purpose. As soon as you assume the negation, you are embarking on proving the contradiction.
I agree with you on this. My own negation of the value could well be the cause of my outlook upon it. However, from my experience, 0 appears to have some in common with infinity. Being irrational is only a single component.
(February 22, 2016 at 9:55 pm)scoobysnack Wrote: I don't have an answer to your question. Zero considered it can't be divided or multiplied by anything and result in anything else than zero, might mean it's infinite, but I don't have an answer to that.
Something I want to share is a documentary about fractals which talk about infinity. One of the more interesting videos I've seen. Nothing about religion, this was shown to me by my friend who is a member of mensa and super smart. What this talks about is how things are infinitely small, or infinitely big. For example when trying to measure the circumference of a nation, or anything it's infinitely long depending on how close you measure it.
This is a great doc:
https://www.youtube.com/watch?v=HvXbQb57lsE
I think I know what you're talking about regarding the infinitely large / infinitely small paradox. I read about something similar in one of my books on space; if you were to roughly map Britain, it would come to a value slightly larger or slightly smaller than if you were to measure more accurately. If you got right down to it and measured every last rock, cave and cliff edge, it would come to a very different value than if regarding it as a simple issue and just roughly estimating. However, this must surely end at some point, presumably when we get down to the quantum level of subatomic particles and such. This paradox assumes we can keep going smaller. The question is; can we?
Well to be honest I'm not smart enough to answer that. All I can say is can we measure beyond subatomic particles or is that the smallest things are or that we can measure? For me what interested me what the concept of infinity and whether is it was small or large, yet observed from the human eye as being finite.
The documentary was interesting because it started measuring trees and how to measure a forest based on a tree's growth. This is beyond me, but something I'd like to learn more about.
