FOM: ReplyToThayer
Harvey Friedman
friedman at math.ohio-state.edu
Mon Nov 10 11:37:56 EST 1997
I wrote:
>>Question with psychological, and sociological overtones: when do formulas
>>get too complicated, >so that mathematicians simplify them by introducing
>>new >>abbreviations? We all know that this is a crucially interesting
>>matter, since otherwise mathematicians could not actually be done. Maybe
>>there is a >>complexity theorem here somewhere - and maybe this is
>>related to the fact that, also, humans generally can only efficietnly
>>process relatively short >>sentences and phrases.
Thayer wrote:
> If you are not already aware of it, there is a lot in the experimental
>literature on what George Miller called "The magic number 7 +/- 2". This
>>evidence supports the conclusion that "clumping-up" or consolidating
>things into higher order chunks is a necessary part of human perception
>and thought >processes. Of course there is also the somewhat newer work
>which point out how good we are at pattern matching, which may work in a
>different way.
Please note that in your reply, you forgot to mention any ideas, or any
useful information such as references. Was the e-mail cut off?
More information about the FOM
mailing list