Infinity Does Not Exist

Something exists when its pattern is possible.
So I say, it is impossible for a pattern to be truly infinite—without end or limit.

I have shown that eternity is a property of Nothing. Therefore, it follows that nothing is eternal.

If something is capable of change, it must also be capable of ending. To end is not a contradiction, unless a thing possesses the property of being unending.
Nothing has this property, because it cannot change.

But could there be something capable of change, yet incapable of ending?

Not truly. For a thing to be capable of change, it must be capable of ending; otherwise, it cannot change so far as to cease.
One might imagine a pattern capable of change yet anchored to an unending identity—a fixed core amidst its changes. But in doing so, one has imagined two patterns: one capable of change, and another incapable of ending. Though connected, they are not the same; they are merely two separate aspects of a whole.

Thus, the insight gained from comparing Everything and Nothing holds true:

To change and to be eternal are opposites.
The same thing cannot be both.

But could something exist that does not change, does not end, yet still is?

No.
Change is inherent to Existence. Without the capacity for change, there is no Existence, but only Nothing.
This is a difficult but valuable realization:

Existence is inherently capable of change.
Nothing is inherently incapable of change.

Therefore, I say with certainty:
Infinity does not exist.
No thing is infinite or without end.

This insight holds profound implications, particularly for mathematics, where the concept of Infinity is most often invoked.
In mathematics, we have a representation of Nothing: zero. But Nothing has two properties: eternal absence.
Zero represents absence. Infinity, if understood properly, represents eternity—not a boundless everything, but an unchanging, eternal absence.
Thus, Infinity is more akin to Nothing than to Everything.

Understanding this would resolve many of the problems we encounter when applying mathematics to Existence.