“math had become too big; nobody could understand more than 1/4 of
it”.

"But with four neighbors I can compute most of it" ;-)

On Sat, Feb 10, 2024, 5:25 AM David Eric Smith <desm...@santafe.edu> wrote:

> There’s a famous old rant by von Neumann, known at least by those who were
> around to hear it, or so I was told by Martin Shubik.
>
> von Neumann was grumping that “math had become too big; nobody could
> understand more than 1/4 of it”.  As always with von Neumann, the point of
> saying something included an element of self-aggrandizement: von Neumann
> was inviting the listener to notice that _he_ was the one who could
> understand a quarter of all existing math at the time (whether or not such
> an absurdity could be called “true” in any sense).
>
> I have wondered if this problem marks a qualitative threshold from which
> to define a “complex systems” science.  The premise would be that all
> innovations ultimately occur in individual human heads, triggered somehow.
>  (And much of the skill of science is to structure your environment of
> reading and experience and people to “trigger” you in productive ways,
> since insight isn’t something that can be willed into existence).  But
> those ideas need to be answerable to the fullest scope of whatever is
> currently understood that is pertinent.
>
> The old answer used to be to cram more and more of current knowledge into
> single heads as the fuel for their insights, and then to limit to more and
> more rarified heads that could hold the most and still come up with
> something.
>
> But at some point, that model no longer works because there is a limit
> (some kind of extreme-value distribution, I guess) to what human heads can
> hold, at all.
>
> The project then shifts over into an effort of community design with
> explicit concerns that are not reducible to head-packing.  How do good
> insights come into existence, still limited by heads, but properly
> responsible to much more knowledge than the heads do, or even could,
> contain?
>
>
> I can, of course, shoot down my own way of saying this, immediately.  In a
> sense, engineers have been doing this for some very very long time.  No
> “person” knows what is in a 777 aircraft (or for the Europeans, an A380).
> Those cases still feel different to me somehow, and like a more standard
> expansion of the concept of the assembly line and modularization of tasks
> through reliable interfaces (the various ideas behind object design etc.)
>  I imagine that the interesting problem of idea-finding for complex
> phenomena are those that arise when you have modularized as much as you
> can, and you have run out of interesting things to add within the modules,
> because the things you can’t see transcend them.
>
> But of course I haven’t “made” anything of this string of words, like a
> self-help consultancy or the presidency of any institution.
>
> Eric
>
>
> On Feb 9, 2024, at 7:45 PM, Roger Critchlow <r...@elf.org> wrote:
>
> Yeah, it seems like the premise of the cartoon, or maybe Jochen's
> interpretation, was that people have limited scopes of application, and the
> average scope of application doesn't include interdisciplinary research.
> But there are people who have larger scope and have a lot of fun doing
> interdisciplinary projects.  And if an interdisciplinary group can adapt to
> its participant areas of strength, lots of interesting things can happen.
>
> -- rec --
>
> On Fri, Feb 9, 2024 at 3:19 PM Frank Wimberly <wimber...@gmail.com> wrote:
>
>> I didn't read the article but Carnegie Mellon, where I worked for almost
>> 20 years, prides itself on the amount of interdisciplinary research
>> accomplished there..  Herb Simon had appointments in psychology, computer
>> science, business and public policy, I believe.  I was a coauthor of papers
>> in robotics, public policy, computer science and philosophy.
>>
>> On Fri, Feb 9, 2024 at 1:54 PM Jochen Fromm <j...@cas-group.net> wrote:
>>
>>> Tom Gauld describes most of the problems of interdisciplinary research
>>> in a single image
>>>
>>> https://www.newscientist.com/article/2389834-tom-gauld-on-areas-of-expertise/
>>>
>>> -J.
>>>
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>>
>> --
>> Frank Wimberly
>> 140 Calle Ojo Feliz
>> Santa Fe, NM 87505
>> 505 670-9918
>>
>> Research:  https://www.researchgate.net/profile/Frank_Wimberly2
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