Essential Infinity

#infinity
Before beginning this section, because we are going to be talking about infinity, I would like to make a distinction between essential infinity and “real” infinity—the latter being a concept we cannot really comprehend. It is a mystery. However, essential infinity is an approximation, and can sometimes even be looked at as a number.[^1] It is your horizon, after which it disappears i.e., continues, into the vast unknown, beyond which we can only surmise. For instance, if its unimaginably larger than the largest thing you could ever imagine. Or, if it is unfillable—in that as much as you have added to it, you can always add more. Alternatively, it could be unemptiable—as much as you dig, as much as you remove, there is always more. Tangibly, as many numbers as you might remove from all the numbers in the set of numbers, there will still be more… more than you could ever remove. That is the “real” infinity that I am speaking of here.

The real Infinity, I will represent with a capital. This Infinity, also called the Infinity of Infinities, is the only infinite that is neither finite nor infinite, yet is both. It is the simple cause of everything, as it has no precursor. It is to express the inexpressible which results in paradoxical, even conflicting, statements.

Starting from the axiom of existence, something, let’s call it I, exists. Thus, there is also something (perhaps) that enables I to manifest. If I is finite, then there is ~I that is all that I is not, and thus will be infinite. This is of course based on the assumption that the totality of everything is infinite.

Having let the “infinite” cat out of the bag, there is no going back. Once, having conceived of infinity, we cannot but know that surrounding every finite being, there must be an infinite “beingness” or “not-beingness”, if you prefer.

Nothing infinite exists

For if it exists, it must be finite. It must have had a beginning, else it could not exist. And thus, it must have an end too. Everything that exists must have been the result of some sort of constraint upon infinity. If it exists, it must, by definition, then be finite.

Now, I ask, how, who or what recognised the finite? What part of the infinite was “trained” or “programmed” to be able to perceive itself as finite, when all it had know up till then was infinite? As finite beings, how can we know of the infinite unless we are part of an infinity?

Even though it might require an infinite constraint to constrain infinity for the finite to emerge, we find ourselves in a verbal landscape that is littered with paradoxes and contradictions when dealing with the infinite. For, what is infinity actually? Can one even speak of the finite without the concept of the infinite? Do they emerge together? Can the one exist without the other?

Assuming that there is more than one infinite element – or even an unknown amount – we then could have an infinite amount of infinities. For instance, even if we assume that there is a finite amount of stars in the universe, we do not know how many universes there are! Now, when dealing with simple events like numbers, We cannot say how many numbers there are on the number line, but we do know it is infinite.

[!warning] #math Logic
The logic one would use in this case goes something like: "Choose a number, any number as large as you like. Call that number, $N$. Now we know that even if $N$ is humongous, there is a number greater than $N$, say, $N+1$, which we will call $N\prime$. We conclude that for any system, as long as we assume infinity exists, there is no finite system that is not contained within a larger, infinite system.
In the opposite direction it is more difficult. If there is only the infinite, how does the finite even emerge? For this infinite would not even be called infinite, but just Itself – for it would know of nothing else. Here I ask the question, does infinite only exist, or is derived from, the finite? In other words, only once the finite has somehow emerged, can one refer to the infinite!