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Category: stories

group think

The
moment I read about it, I ordered the book, but received at least three
emails from Amazon.co.uk apologizing for not being able to find me a
copy of Lee Smolin’s The trouble with physics.
A very
considerate review of the book can be found at Background Independence, Christine Dantas’
old blog. Btw. I’m happy Christine has set up a new blog called
Theorema Egregium. Here’s the section
in her review that convinced me to have a look at the book myself.

I do not wish to make public some of my old, deep own
feelings about what I think science is and how it should be conducted.
There are of course certain points that I often do make public, but
there are some others that tormented me for quite a long time now, and
are so personal and even of emotive nature that I would rather keep them
to myself. But this is the fact per se that should be mentioned here,
since this is the contribution that I feel I can give on examining his
book: I found out that he was addressing some of my personal views and
doubts, of course from his own perspective and wisdom, but it was like
talking to an old friend who followed my own career in science and
understood what troubled me most for all those years. So this book is
for you if you want to be challenged over your own vision of science and
how you fit in it.

Finally, after all these months, just
before going on vacation I discovered a copy in one of my favourite
bookshops in Antwerp and took it along. I dont know Christine’s
favourite chapters of the book but I feel somehow I’ll be not too far
off mark in believing that chapter 16 “How Do You Fight Sociology?” will
be among them. This chapter (just 27 pages) should be read and reread by
all scientists. In it, Lee Smolin describes community behaviour of
certain scientific groups (he has the stringtheory-community in mind but
I’m sure anyone will recognise some of its behavior in groups closer to
ones own research-interests. I certainly did…). Here we go (citing
from page 284)

1. _Tremendous self-confidence_ ,
leading to a sense of entitlement and of belonging to an elite of
experts.
2. _An unusually monolithic community_ , with a
strong sense of consensus, whether driven by evidence or not, and an
unusual uniformity of views on open questions. These views seem related
to the existence of a hierarchical structure in which ideas of a few
leaders dictate the viewpoint, strategy, and direction of the field,
3. In some cases, a _sense of identification with the group_ ,
akin to identification with a religious faith or political platform.
4. A strong sense of the _boundary between the group and other
experts_ .
5. A _disregard for and disinterest in_ the
ideas, opinions, and work of experts who are not part of the group, and
a preference for talking only with other members of the commnity.
6. A tendency to _interpret evidence optimistically_ , to believe
exaggerated or incorrect statements of results, and to disregard the
possibility that the theory might be wrong. This is coupled with a
tendency to _believe results are true because they are widely
believed’_ even if one has not checked (or even seen) the proof
oneself.
7. A lack of appreciation for the extent to which a
research program ought to involve risk.

Although spotting
such behaviour can be depressing and/or frustrating, Smolin’s analysis
is that such groups are doomed to perish sooner or later for it is
exactly the kind of behaviour sociologists and psychologists recognize
as groupthink, following the Yale psychologist Irving Janis, “a mode
of thinking that people engage in when they are deeply involved in a
cohesive in-group, when the members’ strivings for unanimity override
their motivation to realistically appraise alternative courses of
action”. Groupthink is responsable for failures of decision making by
groups of experts such as the “failure of NASA to prevent the Challenger
disaster, the failure of the West to anticipate the collapse of the
Soviet Union, the failure of the American automobile companies to
feresee the demand for smaller cars, and most recently – and perhaps
most calamitously – the Bush administration’s rush to war on the basis
of a false belief that Iraq had weapons of mass destruction.” (Smolin,
page 286). An aspect of these groupthinking science-groups that worries
me most of all is their making of exagerated claims to potential
applications, not supported (yet) by solid proof. Short-time effect may
be to attract more people to the subject and to keep doubting followers
on board, but in the long term (at least if the claimed results remain
out of reach) this will destroy the subject itself (and, sadly enough,
also closeby subjects making no outrageous claims…). My advice to
people making such claims is : do a Perelman! Rather than doing a
PR-job, devote yourself for as long as it takes to prove your hopes,
somewhere in splendid isolation and come back victoriously. I have a
spare set of keys if you are in search for the perfect location…

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44 32’28.29″N, 4 05’08.61″E

Twenty
five years ago I was amazed that writing merely “Le
Travers,Sablieres,France” on an envelop did the job. Today I’m even more
surprised that typing just “Le Travers,Sablieres” into Google Maps or Google earth brings you there in seconds with an
offset of about 100 meters!

Actually, the Google mark may be more accurate as it depicts the spot on
an old mule-path entering ‘le hameau de travers’ which consists of two
main buildings : ‘le by’ just below us and what we call ‘the travers’
but locals prefer to call ‘le jarlier’ or ‘garlelier’ or whathever (no
consistent spelling for the house-name yet). If you are French and know
the correct spelling, please leave a comment (it may have to do
something with making baskets and/or pottery).

I’ve always
thought the building dated from the late 18th century, but now they tell
me part of it may actually be a lot older. How they decide this is
pretty funny : around the buildings is a regular grid of old chestnut
trees and as most of them are around 400 years old, so must be the
core-building, which was extended over time to accomodate the growing
number of people and animals, until some 100 yrs ago when the place was
deserted and became ruins…

The first
few days biking conditions were excellent. If you ever come to visit or
will be in the neighborhood and are in for an easy (resp. demanding,
resp. tough) one and a half hour ride here, are some suggestions.

Start/end
point is always the end of the loose green path in the middle (le
travers). An easy but quite nice route to get a feel for the
surroundings is the yellowish loop (gooing back over blue/green) from
Sablieres to Orcieres and gooing back along camping La Drobie. Slighly
more demanding is the blue climb to over 900 meters to Peyre (and back).
By far the nicest (but also hardest) small tour is the green one
(Dompnac-Pourcharesse-St.Melany). If you want to study
these routes in more detail using GoogleEarth here is the kmz-file. Btw.
this file was obtained from my GPS gpx-file using
GPS-visualizer. Two and a half years
ago I managed to connect the
place via a slow dial-up line and conjectured that broadband-internet
would never come this far. I may have to reconsider that now as the
village got an offer from Numeo.fr to set-up a
wireless (??!!) broadband-network with a pretty low subscription… But,
as no cell-phone provider has yet managed to cover this area, I’m a bit
doubtful about Numeo’s bizness-plan. Still, it would be great. Now, all
I have to do is to convince the university-administration that my online
teaching is a lot better than my in-class-act and Ill be taking up
residence here pretty soon…

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stalking the Riemann hypothesis

There
seems to be a neverending (sic) stream of books and posts on the
Riemann hypothesis. A while ago I
wrote about du Sautoy’s The music of primes and over a snow-sparse
skiing holiday I read Stalking the Riemann Hypothesis by Daniel N. Rockmore.
Here’s the blurb

Like a hunter who sees ‘a bit of blood’
on the trail, that’s how Princeton mathematician Peter Sarnak describes
the feeling of chasing an idea that seems to have a chance of success.
If this is so, then the jungle of abstractions that is mathematics is
full of frenzied hunters these days. They are out stalking big game: the
resolution of ‘The Riemann Hypothesis’, seems to be in their sights. The
Riemann Hypothesis is about the prime numbers, the fundamental numerical
elements. Stated in 1859 by Professor Bernhard Riemann, it proposes a
simple law which Riemann believed a ‘very likely’ explanation for the
way in which the primes are distributed among the whole numbers,
indivisible stars scattered without end throughout a boundless numerical
universe. Just eight years later, at the tender age of thirty-nine
Riemann would be dead from tuberculosis, cheated of the opportunity to
settle his conjecture. For over a century, the Riemann Hypothesis has
stumped the greatest of mathematical minds, but these days frustration
has begun to give way to excitement. This unassuming comment is
revealing astounding connections among nuclear physics, chaos and number
theory, creating a frenzy of intellectual excitement amplified by the
recent promise of a one million dollar bountry. The story of the quest
to settle the Riemann Hypothesis is one of scientific exploration. It is
peopled with solitary hermits and gregarious cheerleaders, cool
calculators and wild-eyed visionaries, Nobel Prize-winners and Fields
Medalists. To delve into the Riemann Hypothesis is to gain a window into
the world of modern mathematics and the nature of mathematics research.
Stalking the Riemann Hypothesis will open wide this window so that all
may gaze through it in amazement.

Personally, I prefer
this book over du Sautoy’s. Ok, the first few chapters are a bit pompous
but the latter half gives a (much) better idea of the ‘quantum chaos’
connection to the RH. At the Arcadian Functor, there was the post
Riemann rumbling on
pointing to the book Dr, Riemann’s zeros by Karl Sabbagh.

From
what Kea wrote I understand it also involves quantum chaos. Im not sure
whether I’ll bother to buy this one though, as one reviewer wrote

I stopped reading this rather fast: it had errors in it,
and while a lovely story for the non-mathematician, for anyone who knows
and loves mathematics (and who else really does buy these books?) it’s
really rather frustrating that, after a few chapters, you’re still not
much clearer on what Reimann’s Hypothesis really is.
Not worth the
money: try The Music of the Primes (utterly brilliant) instead. This
book simply cannot begin to compete.

The last line did it
for me, but then “Des gouts et des couleurs, on ne dispute pas”.
Speaking of which, over at Noncommutative geometry there was a post
by Alain Connes on his approach to the Riemann Hypothesis Le reve mathematique which
some found

A masterpiece of
mathematical blogging, a post by Alain Connes in Noncommutative
Geometry. Strongly recommended.

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