In response to Jane?s comments ? I admit that understanding and
prediction are not the same thing but they are much more closely
related than most people appreciate, in my opinion. I would go so far
as to say that prediction is a necessary if not sufficient condition
of understanding. So while it is possible to predict without
understanding (as in Jane?s Babylonian?s example ? although I knew
nothing about the Babylonians and their ability to predict, I have no
doubt that?s true) I think it is impossible to demonstrate
understanding without prediction. In fact, I realized that I can?t
come up with a definition of understanding that satisfies me without
talking about prediction (none of the on-line definitions that I found
worked very well for me). My definition of understanding would be
?The ability to make specific predictions based on a general
description of how the world works.? Now, I guess it?s possible that
somebody could understand how the world works but not be able to make
any predictions but that means that they can?t demonstrate their
understanding. In my opinion, understanding that can?t be
demonstrated has little(no?) value because I can?t distinguish that
person from all the people who claim they have understanding but have
none.
My above definition leaves room for ?thinking? you understand when you
don?t, in situations where you make good predictions for the wrong
reasons. But, even here prediction is critical because we will only
detect our mistake when we try to make a new prediction and our
?understanding? leads us astray. That is, the only evidence of our
mistake will be poor prediction.
So, my original claim was not that understanding and prediction are
the same thing but that understanding cannot be demonstrated without
prediction. And predictions have to better than we would make by
chance. And the only way to evaluate that is through some measure of
probability/likelihood. Best.
Jeff Houlahan
PS I would be interested to hear any examples where understanding can
be demonstrated without prediction.