A question of numbers (one for the maths fans)

I understand that thought, but that very thought, seems to go against the very concept of infinity, or an infinite set of numbers. Exactly, I can understand that. I am fine with that, but the possibility remains that this also could be wrong. Like I showed before:∞ - ∞ +1 = 1
∞ +1 - ∞ = 0So it would seem to matter very much where infinity gets placed in an equation. Where as whole numbers it does not. That means one of several things.
Infinity is way beyond our grasp of understanding it.
Infinity cannot be used in regular equations.
Infinity is actually another demension (lol)
etc.

Well I used to smoke, but for 2.5 years now. It was a casual thing anyway, but not when I was younger.Tell me, what stoner doesn't wonder about infinity?Anyway, let me just clear up what I meant, I think cavediver knows what I was hinting at.I could tell you about God all day, and it will never be anything more than subjective, and subjectively He could exist. You won't know He exists until you experience something objective.Same thing with infinity. We can talk about it all day, and say things like, well imagine the biggest number you can, now add 1, it never ends. But if we apply that to objective things, and start counting, then it becomes another story. we just don't know if infinity will ever exist but inside our own subjective minds.Look, there is a possibility, that it may not even exist subjectively, just look at .999... it is actually 1. But this is a different kind of infinity. But to me, it just shows what can happen when you have too many numbers.

Talk - Wikipediaroof_that_0.999..._equals_1I just realized that wikipedia has discussions. Don't worry, I'll leave it alone.Edited by AdminModulous, : disabling smilies because Talkroof was sticking its tongue out

It's funny, I know, I laughed when I wrote it.But think about it. does .999... even exist? I asled that earlier in the thread. Maybe it cannot exist, because it is 1.Look at converging series, another funny thing that happens when you too many numbers.From an ignorant view, it looks like anytime we have all these numbers in a row, our minds can't handle it, so we make hillarious rules to make the numbers fit into our minds.

Edited by AdminAsgara, : took out ridiculously long set of quote tags to fix page width

Is 1 finite?

Yea, yea, I know, I can't wait to actually learn it.

I have been pondering this whole thing, ever since the thread started.Most of what I came up with aside from a few errors, is not new, and still argued about today. For practical purposes, and to make calculus a reality, I guess the formulas are good enough. I don't know enough to even say that.My main question, is, does infinity exist. Like Nosy pointed out, we have been talking about 2 kinds of infinity. One that goes on and on, and the recurring decimal kind.To me, if .999... can equal 1, then there is a limit to how many recurring 9's you can have. What bothers me, is that this only happens with 9 in a 10 base number system. If we were using a 3 base number system, then .222... would equal 1. .999... in a 12 base system would not equal 1, it would just be .9999... I was wondering if there was a way to make a forumla using to different bases to prove something.I think I understand Zenos problem, in that the gap between .999 and 1 becomes infinitly smaller as you go. Something that is infinitly small doesn't exist, right? If that's true, I tend to disagree. To say it doesn't exist puts it at an end.On that same note, I was thinking about an explosion in infinite vacum. The particles head out, and are on a infinite path, and will just keep going and going. But one problem is that they will always be a finite distance from their starting point, and from each other, no matter how far they go, to infinity.I start seeing a lot of relavance between time and infinity. They say we are talking purely numbers. But every number we blurt out of our mouths, comes at a certain time. There is even a discussion about it in wikipedia, and it matches what I was saying..999... / 2 = .499...5They say, how can you add a finite number to the end of an infinite string? I don't know, but I feel it needs to be there, I just don't know how to prove it, and it could take me years, and I may never be able to prove it.I can say this. .999... = 3/3Of course 3/3=1..333... never resolves to anything, but it does, it resolves to 1/3.
Just like .999... resolves to 3/3.It's all fine and dandy, if we are talking about thirds of one. Of course three thirds = one.That's why I was asking the question, does any two numbers multiplied together equal .999... I wanted to see if I could use that in an equation to prove that .999... can also not=one.But, as I write this, I just thought of something.
.44 +.55 = .99
But .444... + .555.. =1
Can .444... or .555... be sum of any multiplier?
Do these numbers even exist, but on paper? As a concept?What's the point of converging numbers anyway, from a purely number point of view. Why can't a series of numbers just continue forever? Why can't it just get infinitly smaller, who cares, they are just numbers.Of course I see the practicality of it in the real world, but not in an imaginary number world.Ok, my head hurts, going to sleep, I am probably too tired to even be writing this stuff. Infinity is actually the way in and out of our universe.

I don't think I really confused terms. I did not know of a lot of these things before this thread. Like my last post, I know I am speaking of many different things, but I am not confused about the terms, I think I got it.I really did a lot of reading on this one, but it's kind of hard to learn calculus over the internet in a couple days. Like if you go to wikipedias definition of recurring decimals, the page is full of links to help define what it is. There is actually a similar discussion there as well.I had some problems when studying it, as I didn't understand some of the symbols used in the equations. One symbol looked like a funny looking E, what does that mean?