OK, this sounds cool. If you're still following this thread, Alex, I'd like to hear about one of these different types of ordered sets that could be used to conceive a different cause-effect relationship. If not, maybe I'll bug you with a PM.
There are an infinite number of different partially ordered sets that are possible.
In a totally ordered set, every element is related to everything other element. For example, if we order the real numbers by < and > (greater than and less than) that's a totally ordered set. This means that for any two distinct numbers
x and
y, either
x >
y or
x <
y.
In a partially ordered set, some elements may be related while others are not. For example, we can order the whole numbers by divisibility. (In mathematical shorthand
x|
y means "
x dividesy".) So for instance 2|12, but it's not true that 2|11. Now for some pairs of elements, such as 4 and 6, we see clearly that neither 4|6 nor 6|4, so those two elements are not related in this partial ordering in any way.
Now, in relation to the topic of time, time within the universe is a totally ordered set. If we identify two moments in time and call them
A and
B, either
A came earlier than
B or
A came later than
B. This relates to the idea of cause and effect because every cause must come before its effect as long as they are bounded by time.
However, we have no reason to presuppose that in the cosmos as a whole, cause and effect are a totally ordered set. They may, instead, be partially ordered set. Imagine an analogy to the whole numbers and divisibility again. Imagine that the time in our universe corresponds to the powers of two: 2, 4, 8, 16, 32, 64, 128, ...Those numbers would be the only 'times' that we can comprehend. Meanwhile God is present at
all whole numbers. So if God chose to act at the number 3 or 17 or 99, we would not be able to relate that to anything taking place in our universe because those numbers don't divide any number that's a 'time' in our universe, nor are they divided by any number that's a 'time' in our universe.
Obviously I'm not saying that this is literally how the causes and effects in cosmos are arranged. I'm merely offering it as an illustration of how, if we expand beyond the understanding of time as a straight line, we can begin to understand how God might exist in ways that are "outside of time". It's worth noting as well that some of the great mystics report that while in communication with the divine, they experienced great lengths of time while relatively small amounts of time were observed to pass in this world, thus providing some backup for the suggestion that God's relation to time is not our own.