BUILDING A LOGICAL MIND --- Episode 5 x

                             Oops, I Gotta Go Back To Induction 
             { Plus, I Forgot To Discuss Abstract Thinking } 

                            ABSTRACT THINKING 

   The dreads and dangers of abstract thinking are a big reason why we now like to stay constantly busy and bombarded with stimuli from TV, iPods, radio, smart phones, the social media on the internet, and the search engines on computers. We sit for hours staring at computer screens and we walk down crowded sidewalks of large cities with electronic "buds" plugged into our ears. Abstract thinking tends most often to strike during moments of quiet repose, such as, for example, in the early morning before the alarm goes off. You might lie there in the quiet of your bedroom without the slightest doubt that the floor will support you when your feet eventually touch down. But, then you start thinking that it's at least theoretically possible that some flaw in the floor's construction or its molecular integrity could make it buckle, or that even some aberrant bit of quantum flux or something could cause you to melt right through. I mean, it's not logically impossible or anything. Obviously you're too smart to be much concerned that the floor might give way when you finally do get out of bed. It's just that certain moods and systems of thinking are more abstract, not just focused on whatever needs or obligations you're going to get out of bed to attend to. This, of course, is just a silly example. The abstract question you're lying there considering is whether you are truly justified in your confidence about the floor. The initial answer, which is yes, lies in the fact that you've gotten out of bed in the mornings thousands --- actually well over tend thousand times so far, and each time the floor has supported you. It's the same way you're also justified in believing that the sun will come up, that your spouse or companion will know your name, that when you feel a certain set of sensations it means you are getting ready to sneeze, etc., etc. Because they've happened over and over before. The principle involved is really the only way we can predict any of the phenomena we just automatically count on without having to think about them.  And the vast bulk of daily life is composed of these sorts of phenomena ; and without this confidence based on past experience we'd all go insane, or at least we'd be unable to function because we'd have to stop and deliberate every last little thing. It's a fact : life as we know it would be impossible without this confidence. Still, though : Is the confidence actually justified, or just highly convenient ? This is abstract thinking, with its distinctive staircase-shaped graph, and you're now several levels up. You're no longer thinking just about the floor and your weight, or about your confidence concerning same and how necessary to basic survival this kind of confidence seems to be. You're now thinking about some more general rule, law, or principle by which this unconsidered confidence in all its myriad forms and intensities is in fact justified instead of being just being a series of tics or reflexes that propel you through the day. Another sure sign it's abstract thinking : You haven't moved yet.  It feels like tremendous energy and effort is being expended and you're still lying perfectly still. All this is just going on in your mind. It's extremely weird ; no wonder most people don't like it. It suddenly makes sense why the insane are so often represented as grabbing their head or beating it against something. If you had the right classes in school, however, you might now recall that the rule or principle you want does exist ---- its official name is the Principle of Induction.  It is the fundamental principle of modern science. Without the Principle of Induction, experiments couldn't confirm a hypothesis, and nothing in the physical universe could be  predicted with any confidence at all. There could be no natural laws or scientific truths. The Principle of Induction states that if something x has happened in certain particular circumstances n times in the past, we are justified in believing that the same circumstances will produce x  on the ( n + 1 )th occasion.  The Principle of Induction is wholly respectable and authoritative, and it seems like a well-lit exit out of the whole problem. Until, that is, it happens to strike you (as can occur only in very abstract moods or when there's an unusual amount of time before the alarm goes off) that the Principle of Induction is itself merely an abstraction from experience----and so now what exactly is it that justifies our confidence in the Principle of Induction ? This latest thought may or may not be accompanied by a concrete memory of several weeks spent on a relative's farm during childhood. There were four chickens in a wire coop off the garage, the brightest of whom was called Mr. Chicken. Every morning, the farm's hired man's appearance in the coop area with a certain burlap sack caused Mr. Chicken to get excited and start doing warmup-pecks at  the ground, because he knew it was feeding time. It was always around the same time t every morning, and Mr. Chicken had figured out that t(man + sack) = food, and thus was confidently doing his warmup-pecks on that last Sunday morning when the hired man suddenly reached out and grabbed Mr. Chicken and in one smooth motion wrung his neck and put him in the burlap sack and bore him off to the kitchen. Memories like this tend to remain quite vivid, if you have any. But with the thrust of the story, lying here in your bed, being that Mr. Chicken appears now actually to have been correct---according to the Principle of Induction --- in expecting nothing but breakfast from that (n + 1)th appearance of man + sack at t. Something about the fact that Mr. Chicken not only didn't suspect a thing but appears to have been wholly justified in not suspecting a thing---this seems concretely creepy and upsetting. Finding some higher-level justification for your confidence in the Principle of Induction seems much more urgent when you realize that, without this justification, our own situation is basically indistinguishable from that of Mr. Chicken. But the conclusion, abstract as it is, seems inescapable : what justifies our confidence in the Principle of Induction is that it has always worked in the past, at least up to now. Meaning that our only real justification for the Principle of Induction is the Principle of Induction, which seems shaky and question-begging in the extreme.