Can set theory show that God can create an infinite and eternal universe?
In set theory there are different levels of infinity.
Aleph null would be lower than larger sets with a one to one match being impossible. This is different than a set containing odd numbers being the same size as a set with all numbers. So infinity does seem to have a size.
If time is represented spacially as a sequence of 3d events on after another like a flip comic, then if we can prove there can exist an infinite 3d space we can show an eternal (non finite in age) construct can exist.
If we define n dimensional space as a vector space Rn let of all points of Rn be in a set. The set (I believe) is above aleph null in size. If we have another space in which points are discrete (no representation of non integers for example) it would be aleph null.
If our space stops at plank length we have an aleph null space.
Which shows there can be a possible alternative space that is infinite in size but also greater even if our space is infinite in size (unless having a space with infinite resolution is impossible logically?).
That means since God is above all things including infinities like aleph null (given God is truly above all things), there can exist a spacial representation of an infinite timeline as well as an actual infinite space like ours but infinite, making an infinite eternal universe possible.
Posted Nov 1, 2023, 4:04 PM UTC