How many times does the number 2 occur in infinity?

Once, because if it occurred twice, the result would be infinity plus something.

The number of numbers, and their values must match in an infinite pair for the definition infinte to be true. Otherwise, it's something greater than infinite. The number of numbers cannot be changed (they'd remain distinct because that isn't an overlap), but their values can be rearranged where they can overlap/knot and remain balanced.

If two occurs twice, then that second two came from another infinity. The infinites must balance each other. How they balance each other is greater than the sum of either in terms of combinations. The numbers can be swapped while maintaining balance in the form of rational pairs. What is balance? - the word balance is misleading... whether or not balance exists, infinity cannot exceed the sum of infinity, and it cannot contain fewer or more values, but pairs of values can be exchanged between two or more infinities.

Imagine two pieces of string, they can be tied together in any number of ways but any action that would join or permanently alter them cannot be done. If they already represent the concept of maximum or limit, any permanent change would seem not to happen.

For that matter, the values in infinity can't rearrange themselves, it always goes large to small or small to large. This is because the nature of infinity isn't "numerical". Imagine two triangles forming a quad, one triangle is all positive numbers, the other is negative numbers. When you look at it, going from one side to it's opposite, as the negative increases the positive decreases and vice versa. Expressing infinity in terms of numbers is inaccurate, using geometry or other symbolic representation allows every value to be present and observed.

As some people evolve, naturally or artificially, into better tools, they'll create languages to describe a level of thought which makes the internet look like people with styrofoam cups and string.

Infinity alone doesn't explain existence, because time would not pass if everything was perfectly balanced. Either a pair of infinities are interacting, or an infinite number of infinities...

That's where the real problems begin; the universe appears to be too consistent.

Stars, planets, gravity... The fact that anything can remain constant.

The only way that could happen is if we are only observing a fraction of what existence is, and...

What really happens is a "mirror" effect that directly relates to what we perceive as time. The universe can go on forever because it's not wholly distinct or unique. Even when you move, things in "differnent parts" of the entire universe also change. How they change is based on a kind of translation, like a fun-house mirror.

What we observe as existence is actually a tangled mass of probability, acting in a seemingly unpredictable way. It appears predictable and follows "laws" because we are distorted along with what distorts.

When you see stars at night, you're seeing a distorted reflection of where you are. That's why everything appears consistent. That's why, wherever you go, there you are; you never left.

Imagine two mirrors reflecting each other, the points that reflect the most appear darkest. Stars and planets are the rational pairs of infinities, that overlap. We're part of that stuff, and that's where the effect of sentience appears. Therefore, empty space can't be sentient, it's effectively balanced and inactive from our perspective, but it is part of sentience neverless. (Remember the triangle/quad analogy?)

Sentience itself is the reaction caused by infinite overlap, the overlaps themselves form a system analogous to binary, but only with stability and coherence from what we perceive as the present time.

There's the possibility that empty space could be a kind of anti sentience, but really not in a way we could ever perceive. It's most likely just the other half of what makes our minds possible.

The meaning of sentience is meaning. As life grows, and growth requires change, sentience was spawned as a concentration of that accumulated complexity. By that reasoning, sentience is a system parallel to growth and inherently must react with the existence from it's perspective, to exist. Interestingly, sentience and meaning are derived from imperfection, not the other way around. If everything was perfect, everything would be stationary and unchanging without any meaning by the definition of the word.

And I think I said it elsewhere, but the meaning of life is growth, when you define life as, "what all living things have in common". If you don't define life and assume life refers to everything, the question is unanswerable. It has to be divided into a series of questions, and in a funny way the individual questions and their answers mean more than a single question about "everything".

That's the reason this post is so long, I just divided "the structure of existence" into a series of problems.

Conclusion: The structure of existence is imperfection and probability.