Really, you are all missing it entirely. Your minds are so narrowed upon human mathematics that you don't see actual reality. Mathematics are numbers and paper, that represent reality *approximately*.

This is a mathematical question. The mathematics shows that 1 is exactly equal to 0.9 recurring. There are a number of mathematical proofs that have been presented. A mathematical proof is a fact within the formal system of mathematics. Your argument about reality is stupid. How often, in "reality," do you have to deal with equations including the number 0.9 recurring? The thing about mathematical proofs is that you can't deny them with reason, you have to mathematically prove that they are incorrect. In this case, that is impossible.

We are not infinite creatures, therefore our mathematics are not infinite; though in some equations we use symbols to represent infinite quantities. These infinite quantities are not actually truly usable in exact math, they would result in no solution in any formula that used them. But, to humans, such a difference does not matter. An infinitely small difference is the same as no difference, *to us*. We have margins which anything that falls into them is "exact" *to us*, though technically just *approximately exact*.

This is completely false. Parts of mathematics would not exist without the concept of infinity. The problem is that you don't understand infinity, or maths. What is your training in maths? What level have you studied? Maths is exact and it's not a case of there being differences so small that the don't matter, rather, if you understand the maths, you'll see that there really is absolutely no difference at all.

In mathematics, the 0.999... is expressed as 1 because the difference makes no difference. 0.0...1 has no effect on humanity, as it is infinitely small and an infinitely small difference *always* falls within our margin of error.

What are you talking about? In mathematics 0.9r is expressed as 1 because there are

**mathematical proofs** that demonstrate that they are the same number. These are not approximate proofs, and they have nothing to do with the effect on humanity, but rather, are facts within the mathematical formal system. Nobody decided that because the differences are so small it didn't matter, they demonstrated, clearly, that the numbers are absolutely equal.

This does not change reality, just our rational human use of it. Reality is infinite, but humans experience it finitely.

You keep saying this, but can you actually provide any evidence that this is actually the case? I don't think what you're saying is a fact at all, and it is misleading to continually present it as a fact, unless you have some evidence to back it up. What you're expressing is your evidence, based on the fact that you have had no serious mathematical training.

Our perceptions are not able to directly experience reality, but do so through filters (our minds and sensory organs) that only picks up finite portions of the infinite reality; this means that *our subjective reality* is finite, but does not change the actualities of reality (they are simply irrelevant to us, part of a different world entirely separate from us).

If what you're saying is correct, which you have provided no evidence to suggest is the case, how would we see things, hear things, smell things, taste things or touch things differently if we could see reality? What is your evidence that we do not experience reality? How is the world, in factual terms, different from how we perceive it? If you're going to make claims about the world, please put forward evidence to show that you're not just putting forward baseless speculation.

So, to us, 0.0...1 = 0, because we are finite and such a number has no effect on anything human; it is irrelevant; but in reality, 0.0...1 does exist, and we can reason that it does exist (everything is made up of infinite infinitely small quantities).

Please give an example of 0.0...1 existing in reality. You claim that it does, so you must have seen a place where it does exist. Or are you just speculating and presenting your speculation as fact?

This means that 0.0...1 does not truly equal 0, just that our only use for it is as a 0. The same is for 0.999, because of the same reason; the difference is so small it makes no difference, so we take it as 1 (but in reality it is not 1, just as close as it can possibly get to being 1; which makes *no difference to us*).

Mathematical proofs don't work like that. They work by having a given fact, that is already accepted as true, and then using the formal rules of mathematics to show that a new fact has to be true if the previous fact was true. if 1/3 = 0.3 recurring, you have to accept that 0.9 recurring = 1. Approximations are not made in the various mathematical proofs, they are dealing with facts.

I've beaten this dead horse to bits. It really isn't so complex. Do you understand yet?

What you've done is present a number of statements as facts, without providing any evidence of that they are actually facts. You've failed to put forward and rebuttal of the actual mathematical proofs that have been presented, or of the fact that a number of mathematical bodies have demonstrated that they support the mathematical proofs. You've given no indication of any serious knowledge or training in mathematics and then you've acted like those of us who do understand maths can't understand what you're saying. We completely understand, it's just that all the actual observational evidence demonstrates conclusively that you're wrong, and there has been no evidence to suggest that you're right.

Rather than putting forward your speculative opinions on a subject that you have not received formal education in, why don't you give up this debate and go and learn about what you're talking about. Just because you fail to understand something, it doesn't mean that it is wrong. In fact your understanding of a concept has nothing to do with the factuality of that statement. This is why I believe that it is crucial that we formulate our opinions based on things that we know are facts, rather than speculating and then behaving as if our speculations are correct. Dogmatic thinking, as far as I can see, is the source of all the evil in the world.