Existence is necessarily infinite in all dimensions. Paradoxical otherwise:
Bear the following in mind when you read the rest of this post. You can never have two different things in the same place at at the same time. It would be paradoxical to say that you can. Bear the following key words/meanings in mind: Infinite (without beginning and without end) Semi-infinite (with a beginning but without an end) Finite (with both a beginning and an end)
The core argument+conclusion is as follows:
A) You can’t have two beings occupy the same place and time. B) You can’t have something come from nothing
This yields the following conclusion:
C) Only Existence is necessarily infinite in all dimensions. Any alternative to C will either lead to A or B or both. Try it, you’ll see.
Infinity has to be treated as a whole. It can’t be infinite in some dimensions whilst being finite or semi-infinite in others (absurdity B as you can’t have any dimension come from nothing or border non-existence) So it is necessarily infinite in all dimensions and can never be anything other than this and has never been anything other than this.
Bearing in mind A, no other being can be infinite in any dimension.
With regards to all dimensions, Existence is necessarily infinite. Consider time. You necessarily can’t have two infinite time lines as that amounts to A. But you can have two or more semi-infinite timelines within this infinite time line/dimension purely because an infinite time line allows for a semi-infinite amount of start points. Simply, this amounts to a semi-infinite amount of semi-infinite time lines. If there were no start points, then it’d be infinite and that would amount to A.
This applies to all dimensions. You can have a semi-infinite number of lines in/on any two dimensions. So long as it’s two dimensions or more and with a different start point, then no paradoxes occur.