Well, but which is it, Tillers: logic or structure?
Well, that's the problem, you see. I'm not entirely sure which word I should use to characterize my subject: (i) logic or (ii) structure.
"Logic" is a strong word -- perhaps too strong. "Structure" is a warm and flexible word -- perhaps too comfortable and flexible, too ... cheap and easy.
There is a lot of awful talk around about the role of stories in proof and inference; it is said that (i) a good story has an actor (or that a story [good or bad] does not necessarily have an actor), (ii) a good story has a beginning, a middle, and an end (or not); (iii) a good story has a theme (or not necessarily); and (iv) so on.
In response to such assertions (of either kind), one often wants to scream: Who or what sez so?!?
The answer might be: well, (i) most people do; (ii) my intuition sez so; (iii) respectable thinkers think so; and (iv) so on.
But -- one again (perhaps) wants to yell, "That's not good enough! Prove to me -- demonstrate -- that what you say is true -- and don't just tell me that you think it's true or that many people do ... and so on."
But then the tables are turned on me: "Do you really think, Tillers, that logic alone can prove the importance of stories -- and of a specific kind of story?"
My honest answer: "Well, I'm not sure it can. Granted, I can (and should) tell you that there is now a logic that goes by the name (sometimes) temporal logic. But I must 'fess up: I can't prove or demonstrate -- I am probably just intellectually and logically weak --, I can't prove that temporal logic (and all that it implies) tells us necessary things about human existence and (less grandiosely) about matters such as factual inference or fact investigation."
Sensing the weakness of my "logical" position, but sensing (and believing) that some kind of "story" is a fundamental feature of human existence and (less grandiosely) of any rational argument about any question of fact, my instinct is to turn to "ontology" -- a theory of being, a theory of the way the world (the cosmos) is made -- and say, "You see, time and space are fundamental and unavoidable features of human existence and, thus, they must be part of any argument from evidence about what happened, is happening, or will happen in the world!"
Well, this ontological turn is all well and good. The trouble is that the people who know a few things about the cosmos, the "space-time continuum," and all that sort of thing -- I mean modern physicists -- they would (if asked) almost invariably say, "Well, Tillers, you're wrong! You really don't understand our best understanding of nature, the world or cosmos in which human beings live and act. There is nothing in physics that shows that time runs only in one direction and that it cannot run backward. Au contraire! The direction of time means nothing for the kinds of puzzles physics works with!"
I am left in despair.
But now a ray of hope (see the NYTimes article): some physicists who are smart enough to be invited to take part in a conference at MIT say that physics must do better: it must develop an account of the kind of time that human beings experience - unidirectional time - and (perhaps) this new account must be one that acknowledges that for human beings time really does run only forward, and not backward.
So I am reassured; my ontological intuition is not necessarily hogwash, not even in the eyes of (some) reputable physicists.
But I am still left in a bit of a pickle, nicht wahr? For even if time runs forwards (for many purposes), accounts of how events are connected to each other can still vary a lot.
But perhaps once the temporal character of existence (in some sense) is admitted, temporal logic can take over and drive us to some conclusions? I have some hope that this is the case -- although I strongly suspect that it will turn out to be the case that we will have to feed experience back into our logic -- now our temporal logic -- and the difficulty here (as always!) will be that our experience will fall short of a strict proof of telling us which variant of temporal logic best explains the world in which we live.
Conclusion: You must forgive these sophomoric ruminations. But in my defense I say: problems such as this one -- the role of time in human existence -- are very old. If problems such as these do not plague us and weigh on us, it is usually only because we have decided that we just shall not dwell on them. Don't you agree?