On Simultaneity:

Required Reading: Simultaneity, Relativity of simultaneity, the present, the paradox of infinite divisibility

I'd like to note, before I get down to business that the wikipedia page for simultaneity has an interesting point, which is that the root of the word "simultaneous" - simult - is indicative of a supernatural or divine coincidence. Understand, as you read the rest of this entry, just how supernatural a coincidence it would have to be for two events to occur simultaneously. Thought for food.

Simultaneity is improbable for the same reasons that pinpointing “the present” is impossible. I say improbable, because it is possible that two events could occur at the exact same time - no matter how infinitely small the increments of time-measurement are.

However, the smaller the measurements are (and remember, the increments of measurement could become infinitely smaller) the more likely it is that you'll discover that two events that appear to be simultaneous are in fact set apart by such and such an infinitely small duration. So, simultaneous events are extremely rare, to the point that it is likely that they have either never occurred or will never occur.

That said it is possible for events in progress to be happening simultaneously, provided that the "happening" of the event is described in a nonspecific way. For example, “burning” refers to the process of being burnt, but does not refer to any specific part of that process. So, two candles can be burning simultaneously, but it can't be determined by any accurate means whether they were lit simultaneously, or burnt out simultaneously, or put out simultaneously, or reached the middle of the candle simultaneously, or began to melt simultaneously, etc.

Because the occurrence of events is asymptotic (approaching zero or infinity), we have to assume (again) that it is either impossible to determine simultaneity, or it must be the case that simultaneity itself is not possible.

Just like we need relative durations in order to talk about the present, we need to think of occurrences relatively in order to assume that some of them happen simultaneously. Without turning a blind eye to the indeterminacy that's packaged in with these concepts, we would lack the ability to experience or comprehend time in a stable and cohesive sort of way.

Meanwhile simultaneity as an objective concept cannot be considered a true possibility - rather, a theoretical concept.

Next week: On the infinite, in which I tackle infinite divisibility a little more directly and try to explain what it really means for something to be infinite.