Proving God Existence

[little_monkey]

S1= {U(1), U(2), ….}, S2={U(-∞), U(-∞+1), U(-∞+2),….}

So that's an assumption. Your conclusion S1 is finite, S2 cannot exist is just circular.

It is not circular it is a derivative of the premises
It is obvious that S1 will be finite, however it is not my conclusion as the conclusion is about S2 not S1

Let's take a refresher look at your derivation:

Set 1: All Statuses separated from (1/1/2000 00:00:00) by a finite number of seconds
Set 2: All Statuses separated from (1/1/2000 00:00:00) by an infinite number of seconds
S1= {U(1), U(2), ….}, S2={U(-∞), U(-∞+1), U(-∞+2),….}

Each set can have (Finite, Infinite or 0) number of members
So the options are:
1. S1 = ɸ (i.e. it is empty)
False, as it contradicts with the ability to measure (time/seconds)

2. S1 has infinite no. of elements
False, as it contradicts with the definition of Set 1; it has only Statuses separated by a finite number of seconds so it must have a finite No. of elements.

3. S1 is finite & S2≠ɸ
False: it means that Set 1 has a last point where next points are away by an infinite time/seconds, but as the next point is separated by an extra 1 second, that point does not exist

4. S1≠ɸ & S2= ɸ

Your premise: S1 is finite.

Your derivation: S1 is not empty, S1 is not infinite.

Your conclusion: therefore S1 is finite.

You can't get more circular than that.

In that case, according to your "logic", if God is infinite then he's not real

Yes, but what do you mean by infinite here?

Isn't it that God is eternal (existed an infinite time in the past, will exist an infinite time in the future)? Isn't he infinitely powerful? Infinitely knowledgeable? Infinitely beneficent?