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POLYMATH


                                                    January   9, 2019
                                                    February  7, 2019
The question is this:                               February 18, 2019

Is it better to specialize in a          This is a question I haven't
particular field, or to be more          bothered to ask for some time:
wide-ranging, learning                   I have pretensions of being a
something about many fields?             generalist without a strong
                                         commitment to any specialty,
Is it better to go deep or go wide?      but this is more a matter of
                                         personal temperament rather
Or as Robert Root-Bernstein put it:      than belief in a strategy.

  "So, monomaniacal precocity or               I would've said that the smart
  profligate breadth?  Intense focus           money is on avoiding "jack of
  or combinatorial permutations?"              all trades" syndrome;  "Being
                                               a Renaissance Man went out
                                               with the Rennaissance."


   It turns out that there's some evidence
   that going wide can be an effective strategy:      [link]

  "Multiple Giftedness in Adults: The Case of Polymaths"
   by Robert Root-Bernstein of Michigan State University, Jan 2009:

   "A survey of the scientists in 1988 determined the number and
   types of their adult avocations and these were then correlated
   with the scientists’ publication, citation, and impact factor
   data and evaluated in light of their previous interviews.
   Significant correlations were found between the number of adult
   avocations each scientist participated in and their success, as
   well as between specific avocations and success. Scientists who
   painted and drew were very significantly more likely to be among
   the Nobelists and National Academy members than were those who
   did not."

       Some of the studies summarized by
       Root-Bernstein work with surveys            I don't think Root-Bernstein
       conducted over a long period of             makes it clear whether the
       time, before anyone could know what         the 1988 study was conducted
       the scientists careers would be             this way.
       like-- that makes selection effects
       a lot less likely.

                                          And I suspect issues with
                                          sample-size though: some of the
                                          studies Root-Bernstein describes
                                          were fairly small (~40 people).


  Using Nobel Prize winners is a good
  way of delegating the need to
  evaluate creative geniuses: we're       To be aggressively skeptical
  mostly willing to concede that your     though: winning a Nobel isn't
  average Nobel winner qualifies.         just doing bright work, it's
                                          a long social process of attracting
  But the Nobel Laureates are up at       attention and impressing people
  the top of the scale, and it's a        with your intelligence.  The
  pretty small circle.  You might         "polymath" strategy *could* be
  wonder how well the polymath            less about mental capability
  strategy works lower down the           and more about posing--
  scale where most of us-- even
  most intelligent, creative              Banging out some Mozart or
  people-- are going to spend our         Chopin on the piano always helps
  lives.                                  to rack up genius points.

  It's not hard for me to think of        (How many Creative Geniuses
  examples of people who are very         are there who remain heroes
  bright, well-rounded intellects         unsung by the Nobel selection
  who nevertheless seem very under        committes?)
  utilized by the modern world.
                                             And if the advocates of
  We-- excuse me, I mean *they*--            polymathy succeed in putting
  generally get by pretty well, but          over their cause, and
  do so by taking work that utilizes         everyone believes that the
  a tiny slice of our-- excuse me,           *real* hot-shots always
  *their*-- capabilities.                    dabble widely, isn't it
                                             likely the mediocre will
  Much of the activity of the modern         start faking it?
  world is run by large organizations
  and you can't possibly expect that         Just the thought of the inevitable
  they'll be set-up to depend on             accusations of phoniness makes me
  finding Rennaissance (Wo)Men that          tired ("Aren't you just padding out
  can cover multiple roles-- when you        that "Other Interests" section at
  build with human beings you need           the bottom of your resume?").
  lots of reliable interchangeable
  parts, not a bunch of flashy
  intellects who might turn in
  brilliant work now and then.

  A typical endeavor only needs a
  limited number of creative geniuses      "Too many chiefs"
  developing radically new ideas.
                                            All jack-of-all and
                                            no players makes
                                            jacks a dull game.

                                                      (Oops.  Just lost
                                                      some genius points.)

Some other points:

It at least used to be a common
criticism that the conventional
academic disciplines have arbitrary         The "one or many?" question
boundaries which were put in place for      presumes you can count.
historical reasons and then preserved
out of tribal habit.


There are many definitional problems
here that won't go away, and can
make the question murkier. To summarize:


   To evalutate the idea that a
   background in many fields leads
   to great successes, we need
   some grasp of:

     o  fields
     o  membership in fields
     o  success
     o  the connection between
        success and knowledge        I.e. was knowledge of the
        of a field                   field useful for the success,
                                     or an irrelevant factor?

                                     Identifying correlations is a good first
                                     step.  The casual claim seems to be
                                     largely supported by anecdote (maybe it
                                     can't be any better).


And granting the polymath thesis,
I think it remains an open
question as to whether it would
work prescriptively--

Can you consciously
develop a wide range of
side interests to
improve your success in
your chosen field?
                              Phrasing the question as "deep or wide?"
                              no doubt oversimplifies.

                              Going for infinite width without
                              any depth at all is unlikely to
                              work terribly well.

                                      Many of Root-Bernstein's better examples
                                      of polymathy aren't just a shallow
                                      aquaintence with a few other fields,
                                      it's more of a matter of going deep
                                      in multiple areas instead of just one.

                                          Rather than ask "should I
                                          specialize in a field?"
                                          better question might be
                                          "how many fields should I
                                          specialize in?"

                                          There are more than two strategies.




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