Happy Labor Day, to those of my readers who live in the United States.  It’s not a terribly big holiday, in a certain sense, but when I was growing up, it was almost always the occasion for a big family get-together, usually with some cooking out on the grill and, when I was little, playing outdoors.  It was a sort of celebration of the end of the summer, if you will, or perhaps rather a last hurrah‒a final weekend of enjoyment before the waning of the seasons.  Anyway, I don’t have the day off today, so I’m at the train station now, waiting for the train (they are running only once an hour due to holiday scheduling).

I walked to the station this morning, and in fact, I went roughly a half a mile (total) out of my way to get something to drink at a Race Track gas station that’s not quite on the route.  I almost badly mis-estimated the time it would take!  I expected to be waiting for quite a while here at the station, but I actually arrived a mere ten minutes before the train.  It’s a good thing I didn’t do that on a regular day, or I would have had to take a later train than that to which I am used, and that would have caused me significant stress.  Actually, just screwing up my schedule would have been what really would have caused me stress and distress.  I get very angry at myself for stupid mistakes.

Anyway, I’m on the train now, and I’m headed in to work, and it’s all very (un)exciting.  I wish we didn’t have work today, honestly.  That’s not because I’m averse to working‒I’m certainly not‒but because I honestly don’t feel like I want to do anything, anymore, as I think you all know.  I keep moving and acting mainly just out of habit and duty and guilt‒mainly preemptive guilt‒but not out of any positive, proactive, beneficent desire.  Well, maybe not wanting to make a certain few people feel sad is a somewhat beneficent impulse, but it’s not all that impressive.

We had a terrible day at the office on Saturday, unfortunately, at least as far as business goes.  We did none, to be specific.  It’s one of those frustrating situations in which, if you knew ahead of time that you were not going to make any sales, you could just have everybody stay home for the day.  But of course, you cannot know ahead of time that you will not do business on any given day.  And if you don’t work on a particular day because you think you might not do any business, it might be that, on that day, you would have done a great deal of business.  So, since we are uncertain about the future, we have to hedge our bets, and sometimes waste effort that would have, in hindsight, been better to conserve.

“Laplace’s Demon” would know when to go and when not to go to the office, but then again, it’s hard to imagine such an all-knowing entity needing to have a regular job.  In fact, a Laplace’s Demon that lived within the reality in which it knew the positions and momenta of all particles (so to speak) would know itself and its own future just as completely and inevitably as it does everything else.  It could not take any action in response to that knowledge though, or so I think, because that would change what it knows about the future.  And if it were a victim of being unable to change its actions in response to its knowledge, it might even be difficult for it to know that its knowledge was correct.  Maybe that’s incorrect; I haven’t thought it through very carefully.

Of course, it could simply be that the Laplace’s Demon can know itself and everything else in a predictive fashion, an “if…then” sort of situation.  Then it might well know what action to take, exactly, to ensure a desired outcome.  This doesn’t avoid the problem of how a mind can know itself completely and entirely, in all aspects.  Is it even possible?  As I’ve conjectured in the past, for a mind to know all of its own workings in full detail would require an exponential, possibly infinite, expansion of that mind.  The capacity to understand everything about, say, a human brain,  would require something much larger and more complex, overall, than that human brain…and then to understand everything about that larger brain, in full detail, would require a larger brain, still*.

Of course, it’s possible to understand the gist of the workings of a brain, and just to say, in a sense, “more of this same kind of thing is added”, but that’s very nonspecific and I don’t think it’s what Laplace had in mind when he imagined his all-knowing entity.

I think he was sort of imagining a being outside of the universe, looking in, though I could be wrong.  At least that would obviate the problem of the recursive acts of its thought and actions on the universe and thence back upon itself.  Such a being might well not have a full, internal understanding of itself in all details, but might be able to understand completely everything happening within the realm it was observing‒like a spectator looking down upon flatland from a three-dimensional perspective.

Anyway, that’s enough stochastic nonsense for today, going from walking to the train to the desire not to do anything, to the fact that work was bad, to the notion of not being able to know a bad day ahead of time, and so on to Laplace’s Demon.  I hope you all have a good day, whether it’s a holiday for you or not, whether you’re working or not.  Thank you for reading.

*This may mean that no so-called deep learning system can ever really know how it makes its decisions and what it understands, just as we don’t know about our own deep systems in precise detail.