Monday, June 11, 2012

The Redhead Has Nothing To Do With This Post...

I just like her. She seems to have a low level of complexity, which feature I'm learning to appreciate. All of which makes more sense when.....well, ok, let's just get on with it.
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How many variables can humans process?

Three. Maybe Four.

No. Really. It's an experimental fact.
"The conceptual complexity of problems was manipulated to probe the limits of human information processing capacity. Participants were asked to interpret graphically displayed statistical interactions. In such problems, all independent variables need to be considered together, so that decomposition into smaller subtasks is constrained, and thus the order of the interaction directly determines conceptual complexity. As the order of the interaction increases, the number of variables increases. Results showed a significant decline in accuracy and speed of solution from three-way to four-way interactions. Furthermore, performance on a five-way interaction was at chance level. These findings suggest that a structure defined on four variables is at the limit of human processing capacity."
Abstract of Research Publication: "How many variables can humans process?"
Halford GS, Baker R, McCredden JE, Bain JD., School of Psychology, University of Queensland, Brisbane, Australia
http://www.psychologicalscience.org/pdf/ps/mind_variables.pdf
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We are capable of perceiving three dimensions, four if you count what we do with time as perception. However, for some number of years now, it's been pretty clear that multidimensional thinking is required to understand even some fairly common features of our universe. Matrix math was invented essentially to deal with simultaneous solutions of large wads of variables in multiple equations, which turns out to be pretty useful in describing features of multiple dimensions.

So, our math permits us to calculate the volume of an n-dimensional polyhedron, but we still can't really grasp the concept of something actually existing in n-dimensional space. We simply haven't got the mental horsepower to "see" the solution like we can with 3-D objects.

In every direction, from the very large to the very small, from deep time to micro-time, and in every scientific endeavor, we are bumping up against limits that we have simply not evolved to deal with. 

The problem is that we've outrun ourselves.

Our hunter-gatherer brains, evolved over a million or so years to accurately evaluate threats or opportunities based on about four different variables. By the time we're evaluating a situation with five variables, we're doing no better than chance at doing something that's going to have a positive outcome. That was plenty in most of our 150,000 years of hunter-gatherer history, but that's not the case anymore. 

Never mind cosmology and quantum events - we're dealing with stuff that directly affects us, like global politics, economics, nuclear strategy, and on, and on...even the climate, which has thousands on thousands of complex, poorly understood, and generally chaotic variables. The odds that humans (even Holy Man/Prophet AlGore) have any foggiest notion what the results of our attempts to "fix" it will be is as near to zero as anything in the universe.

We are on the verge, in short, not of running out of questions - we still have a lot of those - but of running out of the capacity to understand the answers. We have maxed out our cognitive abilities, and it is incredibly likely that we will soon be literally unable to even theoretically or conceptually make the mental leap necessary to answer whatever the next question is, or grasp even a vague understanding of the answer even if we happen to stumble across it. This is not to say that we don't THINK we know how to come up with an answer. All this is directly related to the frankly horribly bad capabilities of humans in estimating risk in even the most trivial exercises.

As the complexity of our lives increases, along with the new variables and populations, there are going to be an increasingly large number of questions, the answers to which we will be no more even theoretically able to understand than a field mouse is to understand cosmic red-shift. We are simply out of brainpower, and none new appears to have made an appearance.

Machines can probably do it. Machines believe whatever they're told without question, and are just as happy considering quantum level effects in 11-dimensional string space as they are calculating the time/space projections of the arc of an artillery round or the forces acting on an apple falling on Newton's head, and have zero difficulty in conceptualizing the data.

In fact, it's been demonstrated that a certain class of machines (the so-called Eureka machines) which have no information as to physics, mass, or gravity, can watch a pendulum and within a few hours use only those observations to derive simple laws of the universe, like "F=ma." If that doesn't sound too impressive, keep in mind that derivation took more-or-less humans some fairly broad hints and about 150,000 years to come up with.


Further, after cogitating on certain multi-body chaotic events, they've come up with equations to describe how to predict that certain things will happen. And they work. And we do NOT understand why they work. The machines simply say "This is the answer."  If they had a bit more sentience, they'd probably add, "You cannot grasp how this answer is derived, nor how the physics of it works. Use this formula, and you'll get an answer. Just trust us."

So, what can we take from this? I don't know. Which version do you like? That we've created a world that we are utterly incapable of controlling, and have therefore evolved to the end of our fitness to survive?

Probably.

But it's remotely possible that we're in the middle of the next evolutionary step. All of our Androids and iThingies, our phones, our computers and devices...they've become extensions of us, part of us. We are about .10 inch from being cyborgs. We have, in short, supplemented our brains with gigantic world-wide servers which will eventually feed us the answers to multi-phase, multi-complexity, multi-variable questions in near-instinctive time that we will rely on to be correct, much as our (very) recent ancestors did when they had to evaluate four variables in real time. We have instant knowledge, instant memory, instant records at our fingertips, faster than thought. For the first time in history, access to the most obscure fact, calculation, opinion, and communication is part of our gestalt.

In short, we may be well into our evolution from a purely biological life-form to -- something else.

It remains to be seen whether this new version of us is better suited to pass our genes to the next Darwinian level than our Kalahari-Desert brethren who're still living subsistence lives in their 4-factor-variable universe.


In Our Next Episode:

5 comments:

  1. Phrases like this, "to deal with simultaneous solutions of large wads of variables " are one of the reasons I like your writing (just spelled that righting) so much. Real earthy words mixed with fancy ones.

    The book I just finished (by de Waal, I forget the title) ended by suggesting the possibility that we humans are done evolving brain-wise. What we do now is use our big brains to adjust the world around us to fit what we think our needs are, so there isn't that outward influence (people with weak some kind of genes dying at childbirth, for example) adjusting our species. He wasn't claiming we have any real idea about evolution, since we're barely a blip in time. But, it was an interesting thought.

    For me, what your talking about is interesting (very) but there's nothing problematic about it. It doesn't seem you think it's a problem, either. Do you?

    I like being full of questions, knowing any "answers" I get are fluid. I also like knowing there's so much unknowable because of my brain's limited capacity.

    At Target yesterday, Maya said, "That looks so 3-dimensional!" about a sign that looked like an enormous ball. It did look 3-dimensional, in the sense that it looked like a round ball in the air. I pointed out to Maya that it *is* 3-dimensional like everything we see (that teeny edge of the cardboard circle being the 3rd side). I like those kinds of things, how we live thinking we are able to experience only 2 dimensions of physical space when we really can't.

    Glad you are blogging! Still hate every image of every human being you refer to as an object! You are so you, AD. :-)

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  2. It's way easier than that.

    Follow the money.

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  3. The object pictured is most pleasing, and I fully expect many of her dimensions are variable when placed under pressure.

    As for our near-future fate as cyborgs, it's inevitable. Unfortunately the Governments and the Googles will design the network in such a way as to keep most of humanity happy and placid. Liberty will be even more of an illusion than it is now. And they will surely make sure that if you unplug, you will be miserable.

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  4. serenebabe sez: "For me, what your talking about is interesting (very) but there's nothing problematic about it. It doesn't seem you think it's a problem, either. Do you?"

    No, I just think it is. What IS the problem is the subject of an upcoming expansion on this - people's inability to judge risk, which is directly related to the limitations noted, as well as people's tendency to believe they have solutions for multi-variant problems, when all they really have is a less than blind guess approximation based on their hunter-gatherer grasp of the situation. Makes just horrible policy.

    Dick sez: "Follow the money."
    Correct. But that's working backward from a known outcome. Doesn't help in projecting outcomes...

    Don sez: "And they will surely make sure that if you unplug, you will be miserable."
    They're already headed that way. That's why it's important to stay on top of information freedom. They've never in history really been able to get inside of our heads, but if we're going to use our machines as the next evolutionary step, we'd just as well let them put a Government jack in our heads if we let them control the data.

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  5. Your response to me about how we can't know outcomes talks about an upcoming problem (that you can't actually predict) and this makes me smile.

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