WEll tell me this: Do you find a God lacking who internally has cause and effect acting on the finite parts that compose his infinite whole?

Yes.

The internal cause and effect has internal composition of A as the cause of internal composition B - the effect.

At the point of the A he lacks B, and when he has B he lacks A.

PJ said:

0 is not infinitely small. The infinitely small is just that: Infinitely small.

Ah - the dive into mathematics.

0.99999.... recurring - do you agree that this is infinitely close to 1? (i.e. that there is an infinitely small number between this and 1.0)

Okay, let 0.999999... recurring = X

10X = 9.999999.... recurring.

10X - X = 9.99999.... recurring minus 0.999999.... recurring = 9

Therefore X = 1 = 0.99999.... recurring.

Thus, the infinitely small = 0.

This is a mathematical proof only - and is merely the unreachable limit of the infinitely small.

PJ said:

0 times infinity would remain zero. **A non-zero infinitely small times infinity would equal infinity.** Accordingly, the latter must be the value of the infinitely small.

The part in bold is not true.

There are an infinite number of infinitely small points between 1 and 2.

And there are an equally infinite number of infinitely small points between 1 and 10, or 1 and 10^10^20.

PJ said:

Incorrect. It is certainly now reachable, as infinity - 1, despite it not producing an answer aside from "infinity - 1" - is finite.

Your understanding of the infinite is, I feel, flawed.

PJ said:

One away from a limit never reached is certainly reachable, as it is only unreachable at that limit - not at one before.

One away from an unreachable limit is unreachable - otherwise you could reach the "one less" limit and then add one - and thus "reach the unreachable". Absurd.

And not true.

PJ said:

The equivalent of one second's work would be forever lacking, thus it would never have taken space over an infinite period of time. Or rather, the number would no longer reflect this.

Infinite does not mean ALL.

It merely means "not ending".

If you take the numbers from 1 to INFINITY - there are an INFINITE number of ODDS and an INFINITE number of EVENS.

PJ said:

This is inconsistant with your notion that the infinitely small = 0.

IF all the parts of infinity are equal to 0, than an infinite amount of 0 cannot take away even a single thing from an infinite series. 0 * infinity = Zero.

They are only tend to 0 when compared to the whole - not in isolation. As you look closer and closer at the infinite whole, any finite constituent part tends to 0 in comparison.

We need to stop looking at Infinity as a number - as it isn't. It is a concept - an unreachable limit.

To start using it as a number generates real headaches (1/Inf = 0 = 2/Inf thus 1 = 2, etc).

You can not take away an element and suddenly make it finite.

It just doesn't work like that - hopefully shown by the examples I have given.