Complexity gaps

This is something Iโ€™ve been thinking about a lot lately, that is poorly covered by science as it is cross-discipline and that is frowned upon these days.

And I have no credentials so even if my ideas are 100% right, no one will care. So that leaves me free to do what the hell I want, just as I like it.

But what Iโ€™ve been pondering is the complexity gap, as Iโ€™ve been calling it. There is an idea pervasive in science that more information leads to better predictive ability. This seems obviously true, right? Yes? Well, but is it? (And there is follow-on that everything can be measured and has a mathematical solution, even if just in principle.)

Just because something seems true means nothing; it actually has to be true.

But there are and always will be enormous complexity gaps in reality. Computer science majors will probably know what I am getting at right away without me having to spell it out, but thatโ€™s one of the problems: many scientists Iโ€™ve met (save a few like a friend of mine) know almost nothing about any other field!

For problems of certain n complexity, adding even a billion or a trillion, etc., times the information will not change your predictive ability at all. (Computer scientists are probably laughing now; others might be puzzled.)

For certain phenomena, more information might actually lead to worse results.

More information is better than not having it, but it doesnโ€™t magically lead to the truth falling out.

0 thoughts on “Complexity gaps

  1. I wouldn’t expect the truth to fall out of any system, whether it’s an information system or some other kind of system.

    We may have reached the limits of getting more predictive ability out of more information, but I want to believe (in the tradition of Fox Mulder?) at least that lower (or absent, or “transparent”) silos surrounding information hordes does mean more or better predictive ability, or decision support, or design strategies, or something of practical value. I want to believe this because I want to believe that deliberate, open, explicit and (as a bonus) highly granular communication of information can “incorporate more information” than “price signals” which seem to me rather scalar (i.e., one dimensional). Also, I might rather enjoy the prospect of knowing things about things other than what they’re “worth” compared to each other.

    I try of course to be very careful to label clearly and indelibly my actual beliefs and my desired beliefs, whether I’m scribbling down ideas, or just thinking, or even communicating with others (even though in the latter case it seems to create tactical weaknesses when arguing with some people).

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