- Johnson, Steven.
The Ghost Map.
New York: Riverhead Books, 2006.
ISBN 1-59448-925-4.
-
From the dawn of human civilisation until sometime in the
nineteenth century, cities were net population
sinks—the increased mortality from infectious
diseases, compounded by the unsanitary conditions,
impure water, and food transported from the hinterland
and stored without refrigeration so shortened the lives
of city-dwellers (except for the ruling class and the
wealthy, a small fraction of the population) that a city's
population was maintained only by a constant net migration
to it from the countryside. In densely-packed cities, not
only does an infected individual come into contact with many
more potential victims than in a rural environment, highly
virulent strains of infectious agents which would
“burn out” due to rapidly killing their hosts
in farm country or a small village can prosper in
a city, since each infected host still has the opportunity
to infect many others before succumbing. Cities can be
thought of as Petri dishes for evolving killer microbes.
No civic culture medium was as hospitable to pathogens
as London in the middle of the 19th century. Its population,
2.4 million in 1851, had exploded from just one million
at the start of the century, and all of these people had been
accommodated in a sprawling metropolis almost devoid of
what we would consider a public health infrastructure.
Sewers, where they existed, were often open and simply
dumped into the Thames, whence other Londoners drew
their drinking water, downstream. Other residences
dumped human waste in cesspools, emptied
occasionally (or maybe not) by “night-soil men”.
Imperial London was a smelly, and a deadly place.
Observing it first-hand is what motivated
Friedrich Engels to document and deplore
The
Condition of the Working Class in England
(January 2003).
Among the diseases which cut down inhabitants of
cities, one of the most feared was cholera. In 1849,
an outbreak killed 14,137 in London, and nobody knew when
or where it might strike next. The prevailing theory of disease
at this epoch was that infection was caused by and spread
through
“miasma”:
contaminated air. Given how
London stank and how deadly it was to its inhabitants,
this would have seemed perfectly plausible to people
living before the
germ
theory of disease was propounded.
Edwin Chadwick,
head of the General Board of Health in London
at the epoch, went so far as to assert (p. 114)
“all smell is disease”. Chadwick was, in
many ways, one of the first advocates and implementers
of what we have come to call “big government”—that
the state should take an active role in addressing social
problems and providing infrastructure for public health.
Relying upon the accepted “miasma” theory and
empowered by an act of Parliament, he spent the 1840s trying
to eliminate the stink of the cesspools by connecting them to
sewers which drained their offal into the Thames. Chadwick was,
by doing so, to provide one of the first demonstrations of
that universal concomitant of big government,
unintended consequences:
“The first defining act of a modern, centralized public-health
authority was to poison an entire urban population.”
(p. 120).
When, in 1854, a singularly virulent outbreak of cholera
struck the Soho district of London, physician and pioneer
in anæsthesia
John Snow
found himself at the fulcrum of a
revolution in science and public health toward which he had
been working for years. Based upon his studies of the 1849
cholera outbreak, Snow had become convinced that the pathogen
spread through contamination of water supplies by the excrement
of infected individuals. He had published a monograph laying
out this theory in 1849, but it swayed few readers from the
prevailing miasma theory. He was continuing to document the
case when cholera exploded in his own neighbourhood. Snow's
mind was not only prepared to consider a waterborne infection
vector, he was also one of the pioneers of the emerging science
of epidemiology: he was a founding member of the
London Epidemiological Society in 1850. Snow's real-time analysis
of the epidemic caused him to believe that the vector of infection
was contaminated water from the Broad Street pump, and his
persuasive presentation of the evidence to the Board of Governors
of St. James Parish caused them to remove the handle from that
pump, after which the contagion abated. (As the
author explains, the outbreak was already declining at the time,
and in all probability the water from the Broad Street pump was
no longer contaminated then. However, due to subsequent
events and discoveries made later, had the handle not been
removed there would have likely been a second wave of the
epidemic, with casualties comparable to the first.)
Afterward, Snow, with the assistance of initially-sceptical
clergyman Henry Whitehead, whose intimate knowledge of the
neighbourhood and its residents allowed compiling the data
which not only confirmed Snow's hypothesis but identified what
modern epidemiologists would call the “index case”
and “vector of contagion”, revised his monograph
to cover the 1854 outbreak, illustrated by a map which illustrated
its casualties that has become a classic of on-the-ground
epidemiology and the graphical presentation of data. Most
brilliant was Snow's use (and apparent independent invention) of
a Voronoi
diagram to show the boundary, by streets, of the distance,
not in Euclidean space, but by walking time, of the
area closer to the Broad Street pump than to others in the
neighbourhood. (Oddly, the complete map with this crucial
detail does not appear in the book: only a blow-up of the central
section without the boundary. The
full
map is here; depending on your browser, you may have to click on
the map image to display it at full resolution. The dotted and dashed
line is the Voronoi cell enclosing the Broad Street pump.)
In the following years, London embarked upon a massive program
to build underground sewers to transport the waste of its millions
of residents downstream to the tidal zone of the Thames and later,
directly to the sea. There would be one more cholera outbreak in
London in 1866—in an area not yet connected to the new
sewers and water treatment systems. Afterward, there has not
been a single epidemic of cholera in London. Other cities in the
developed world learned this lesson and built the infrastructure
to provide their residents clean water. In the developing world,
cholera continues to take its toll: in the 1990s an outbreak in South
America infected more than a million people and killed almost
10,000. Fortunately, administration of
rehydration therapy
(with electrolytes) has drastically reduced the likelihood of
death from a cholera infection. Still, you have to wonder why,
in a world where billions of people lack access to clean water
and third world mega-cities are drawing millions to live in
conditions not unlike London in the 1850s, that some believe
that laptop computers are the top priority for children growing up
there.
A paperback edition is now available.
- Hoagland, Richard C. and Mike Bara.
Dark Mission.
Los Angeles: Feral House, 2007.
ISBN 1-932595-26-0.
-
Author
Richard C. Hoagland
first came to prominence as an “independent researcher”
and advocate that
“the
face on Mars” was an artificially-constructed
monument built by an ancient extraterrestrial civilisation. Hoagland
has established himself as one of the most indefatigable and
imaginative pseudoscientific crackpots on the contemporary scene,
and this œuvre pulls it all together into a side-splittingly
zany compendium of conspiracy theories, wacky physics, imaginative
image interpretation, and feuds within the “anomalist”
community—a tempest in a crackpot, if you like.
Hoagland seems to possess a visual system which endows him with a
preternatural ability, undoubtedly valuable for an anomalist, of seeing
things that aren't there. Now you may look at a print of a
picture taken on the lunar surface by an astronaut with a Hasselblad
camera and see, in the black lunar sky, negative scratches, film
smudges, lens flare, and, in contrast-stretched and otherwise
manipulated digitally scanned images, artefacts of the image
processing filters applied, but Hoagland immediately perceives
“multiple layers of breathtaking ‘structural
construction’ embedded in the NASA frame; multiple surviving
‘cell-like rooms,’ three-dimensional
‘cross-bracing,’ angled ‘stringers,’
etc… all following logical structural patterns for a
massive work of shattered, but once coherent, glass-like
mega-engineering” (p. 153, emphasis in the
original). You can
see these wonders
for yourself on Hoagland's site,
The
Enterprise Mission. From other Apollo images
Hoagland has come to believe that much of the near side of the Moon is
covered by the ruins of glass and titanium domes, some which still
reach kilometres into the lunar sky and towered over some of the
Apollo landing sites.
Now, you might ask, why did the Apollo astronauts not remark upon
these prodigies, either while presumably dodging them when
landing and flying back to orbit, nor on the surface,
nor afterward. Well, you see, they must have been sworn to
secrecy at the time and later (p. 176) hypnotised to
cause them to forget the obvious evidence of a super-civilisation
they were tripping over on the lunar surface. Yeah, that'll
work.
Now, Occam's
razor advises us not to unnecessarily multiply assumptions
when formulating our hypotheses. On the one hand, we have the
mainstream view that NASA missions have honestly reported the
data they obtained to the public, and that these data, to date,
include no evidence (apart from the ambiguous Viking biology
tests on Mars) for extraterrestrial life nor artefacts of another
civilisation. On the other, Hoagland argues:
- NASA has been, from inception, ruled by three contending
secret societies, all of which trace their roots to the
gods of ancient Egypt: the Freemasons, unrepentant Nazi SS,
and occult disciples of
Aleister
Crowley.
- These cults have arranged key NASA mission events to
occur at “ritual” times, locations, and
celestial alignments. The Apollo 16 lunar landing
was delayed due to a faked problem with the SPS engine
so as to occur on Hitler's birthday.
- John F. Kennedy was assassinated by a conspiracy including
Lyndon Johnson and Congressman Albert Thomas of Texas
because Kennedy was about to endorse a joint Moon mission
with the Soviets, revealing to them the occult reasons
behind the Apollo project.
- There are two factions within NASA: the “owls”,
who want to hide the evidence from the public, and the
“roosters”, who are trying to get it out by
covert data releases and cleverly coded clues.
But wait, there's more!
- The energy of the Sun comes, at least in part, from
a “hyperdimensional plane” which couples
to rotating objects through gravitational torsion (you
knew that was going to come in sooner or
later!) This energy expresses itself through a tetrahedral
geometry, and explains, among other mysteries, the Great
Red Spot of Jupiter, the Great Dark Spot of Neptune,
Olympus Mons on Mars, Mauna Kea in Hawaii, and the
precession of isolated pulsars.
- The secrets of this hyperdimensional physics, glimpsed
by James Clerk Maxwell in his quaternion (check off another
crackpot checklist item) formulation of classical
electrodynamics, were found by Hoagland to be encoded in
the geometry of the “monuments” of Cydonia
on Mars.
- Mars was once the moon of a “Planet V”, which
exploded (p. 362).
And that's not all!
- NASA's Mars rover Opportunity
imaged
a fossil in a Martian rock and then promptly ground it
to dust.
- The terrain surrounding the rover Spirit
is littered with
artificial
objects.
- Mars Pathfinder
imaged
a Sphinx on Mars.
And if that weren't enough!
- Apollo 17 astronauts photographed the
head of an
anthropomorphic robot resembling C-3PO lying in Shorty
Crater on the Moon (p. 487).
It's like Velikovsky meets
The Illuminatus! Trilogy,
with some of the darker themes of “Millennium”
thrown in for good measure.
Now, I'm sure, as always happens when I post a review like this,
the usual suspects are going to write to demand
whatever possessed me to read something like this and/or berate me
for giving publicity to such hyperdimensional hogwash. Lighten up!
I read for enjoyment, and to anybody with a grounding in the
Actual Universe™, this stuff is absolutely hilarious: there's
a chortle every few pages and a hearty guffaw or two in each chapter.
The authors actually write quite well: this is not your usual
semi-literate crank-case sludge, although like many on the far
fringes of rationality they seem to be unduly challenged by the
humble apostrophe. Hoagland is inordinately fond of the word
“infamous”, but this becomes rather charming after the
first hundred or so, kind of like the verbal tics of your crazy
uncle, who Hoagland rather resembles. It's particularly amusing
to read the accounts of Hoagland's assorted fallings out and
feuds with other “anomalists”; when
Tom
Van Flandern concludes you're a kook, then you know
you're out there, and I don't mean hanging with the truth.
- Gurstelle, William.
Whoosh Boom Splat.
New York: Three Rivers Press, 2007.
ISBN 0-307-33948-3.
-
So you've read The
Dangerous Book for Boys and now you're
wondering, “Where's the dangerous book for
adults?”. Well, here you go.
Subtitled “The Garage Warrior's Guide to Building
Projectile Shooters”,
in just 160 pages with abundant illustrations, the
author shows how with inexpensive materials,
handyman tools, and only the most modest of tinkering
skills, you can build devices including a potato
cannon which can shoot a spud more than 200 metres
powered by hairspray, a no-moving-parts pulse
jet built from a mason jar and pipe fittings, a steam cannon,
a “snap shooter” made from an ordinary spring-type
wooden clothespin which can launch small objects across
a room (or, should that not be deemed dangerous enough,
flaming matches [outside, please!]), and more. The
detailed instructions for building the devices and
safety tips for operating them are accompanied by
historical anecdotes and background on the science
behind the gadgets. Ever-versatile PVC pipe is used
in many of the projects, and no welding or metalworking
skills (beyond drilling holes) are required.
If you find these projects still lacking that certain
frisson, you might want
to check out the author's
Adventures
from the Technology Underground (February 2006),
which you can think
of as The Absurdly Dangerous Book for
Darwin Award
Candidates, albeit without the detailed
construction plans of the present volume. Enough
scribbling—time to get back to work on that
rail gun.
- Edwards-Jones, Imogen.
Fashion Babylon.
London: Corgi Books, 2006.
ISBN 0-552-15443-1.
-
This is a hard-to-classify but interesting and enjoyable
book. I'm not sure even whether to call it fiction or
nonfiction: the author has invented a notional co-author,
“Anonymous”, who relates, condensed into a
single six-month fashion season, anecdotes from a
large collection of sources within the British fashion
industry, all of which the author vouches for as authentic.
Celebrities appear under their own names, and the stories
involving them (often bizarre) are claimed to be genuine.
If you're looking for snark, cynicism, cocaine, cigarettes, champagne,
anorexia, and other decadence and dissipation, you'll find it, but
you'll also take away a thorough grounding in the economics of a
business fully as bizarre as the software industry. The gross margin
is almost as high and, except for the brand name and associated logos,
there is essentially zero protection of intellectual property (as long
as you don't counterfeit the brand, you can knock-off any design, just
as you can create a work-alike for almost any non-patent-protected
software product and sell it for a tiny fraction of the price of the
prototype). The vertiginous plunge from the gross margin to the meagre
bottom line is mostly promotional hype: blow-outs to “build the
brand”. So it may increasingly become in the software business
as increases in functionality in products appeal to a smaller and
smaller fraction of the customer base, or even reduce usability
(Windows Vista, anybody?).
A U.S. Edition will be published in
February 2008.
- Zubrin, Robert
Energy Victory.
Amherst, NY: Prometheus Books, 2007.
ISBN 1-59102-591-5.
-
This is a tremendous book—jam-packed with nerdy data of every
kind. The author presents a strategy aiming for the total replacement
of petroleum as a liquid fuel and chemical feedstock with an explicit
goal of breaking the back of OPEC and, as he says, rendering the
Middle East's near-monopoly on oil as significant on the world
economic stage as its near-monopoly on camel milk.
The central policy recommendation is a U.S. mandate that all new
vehicles sold in the U.S. be “flex-fuel” capable: able to
run on gasoline, ethanol, or methanol in any mix whatsoever.
This is a proven technology; there are more than 6 million
gasoline/ethanol vehicles on the road at present, more than five times
the number of gasoline/electric hybrids (p. 27), and the added
cost over a gas-only vehicle is negligible. Gasoline/ethanol flex-fuel
vehicles are approaching 100% of all new sales in Brazil
(pp. 165–167), and that without a government mandate.
Present flex vehicles are either gasoline/ethanol or
gasoline/methanol, not tri-fuel, but according to Zubrin that's just a
matter of tweaking the exhaust gas sensor and reprogramming the
electronic fuel injection computer.
Zubrin argues that methanol capability in addition to ethanol is
essential because methanol can be made from coal or natural gas, which
the U.S. has in abundance, and it enables utilisation of natural gas
which is presently flared due to being uneconomical to bring to market
in gaseous form. This means that it isn't necessary to wait for a
biomass ethanol economy to come on line. Besides, even if you do
produce ethanol from, say, maize, you can still convert the cellulose
“waste” into methanol economically. You can also react
methanol into dimethyl ether, an excellent diesel fuel that burns
cleaner than petroleum-based diesel. Coal-based methanol production
produces greenhouse gases, but less than burning the coal to make
electricity, then distributing it and using it in plug-in hybrids,
given the efficiencies along the generation and transmission chain.
With full-flex, the driver becomes a genuine market player: you simply
fill up from whatever pump has the cheapest fuel among those available
wherever you happen to be: the car will run fine on any mix you end up
with in the tank. People in Brazil have been doing this for the
last several years, and have been profiting from their flex-fuel
vehicles now that domestic ethanol is cheaper than gasoline. Brazil,
in fact, reduced its net petroleum imports to zero in 2005 (from 80%
in 1974), and is now a net exporter of energy (p. 168),
rendering the Brazilian economy entirely immune to the direct effects
of OPEC price shocks.
Zubrin also demolishes the argument that ethanol is energy neutral or
a sink: recent research indicates that corn ethanol multiplies the
energy input by a factor between 6 and 20. Did you know that of the
two authors of an oft-cited 2005 “ethanol energy sink”
paper, one (David Pimentel) is a radical Malthusian who wants to
reduce the world population by a factor of three and the other
(Tadeusz Patzek) comes out of the “all bidness”
(pp. 126–135)?
The geopolitical implications of energy dependence and independence
are illustrated with examples from both world wars and the
present era, and a hopeful picture sketched in which the world
transitions from looting developed countries to fill the
coffers of terror masters and kleptocrats to a future where
the funds for the world's liquid fuel energy needs flow instead
to farmers in the developing world who create sustainable,
greenhouse-neutral fuel by their own labour and intellect,
rather than pumping expendable resources from underground.
Here we have an optimistic, pragmatic, and open-ended
view of the human prospect. The post-petroleum era could be
launched on a global scale by a single act of the U.S. Congress
which would cost U.S. taxpayers nothing and have negligible
drag on the domestic or world economy. The technologies
required date mostly from the 19th century and are entirely
mature today, and the global future advocated has already
been prototyped in a large, economically and socially diverse
country, with stunning success. Perhaps people
in the second half of the 21st century will regard present-day
prophets of “peak oil” and
“global warming” as quaint as the
doomsayers who foresaw the end of civilisation when
firewood supplies were exhausted, just years before coal
mines began to fuel the industrial revolution.
- Brown, Paul.
The Rocketbelt Caper.
Newcastle upon Tyne: Tonto Press, 2007.
ISBN 0-9552183-7-3.
-
Few things are as iconic of the 21st century imagined by
visionaries and science fictioneers of the 20th as the personal
rocketbelt: just strap one on and take to the air, without
complications such as wings, propellers, pilots, fuselage, or landing
gear. Flying belts were a fixture of Buck Rogers comic strips and
movie serials, and in 1965 Isaac Asimov predicted that by 1990 office
workers would beat the traffic by commuting to work in their personal
rocketbelts.
The possibilities of a personal flying machine did not
escape the military, which imagined infantry soaring above
the battlefield and outflanking antiquated tanks and
troops on the ground. In the 1950s, engineers at the
Bell Aircraft Corporation, builders of the X-1, the first
plane to break the sound barrier, built prototypes of
rocketbelts powered by monopropellant hydrogen peroxide,
and eventually won a U.S. Army contract to demonstrate
such a device. On April 20th, 1961, the first free flight
occurred, and a public demonstration was performed the
following June 8th. The rocketbelt was an immediate sensation.
The Bell rocketbelt appeared in the James Bond film
Thunderball,
was showcased at the 1964 World's
Fair in New York, at Disneyland, and at the first Super Bowl of
American football in 1967. Although able to fly only twenty-odd
seconds and reach an altitude of about 20 metres, here was Buck Rogers
made real—certainly before long engineers would work out the
remaining wrinkles and everybody would be taking to the skies.
And then a funny thing happened—nothing. Wendell
Moore, creator of the rocketbelt at Bell, died in 1969
at age 51, and with no follow-up interest from the
U.S. Army, the project was cancelled and the Bell rocketbelt
never flew again. Enter Nelson Tyler, engineer and aerial
photographer, who on his own initiative built a copy
of the Bell rocketbelt which, under his ownership and
subsequent proprietors made numerous promotional appearances
around the world, including the opening ceremony of the
1984 Olympics in Los Angeles, before a television
audience estimated in excess of two billion.
All of this is prologue to the utterly bizarre story
of the RB-2000 rocketbelt, launched by three partners
in 1992, motivated both by their individual obsession
with flying a rocketbelt and dreams of the fortune they'd
make from public appearances: the owners of the
Tyler rocketbelt were getting US$25,000 per flight at
the time. Obsession is not a good thing to bring to a
business venture, and things rapidly went from bad
to worse to truly horrid. Even before the RB-2000's first
and last public flight in June 1995 (which was a
complete success), one of the partners had held a gun
to another's head who, in return, assaulted the first
with a hammer, inflicting serious wounds.
In July of 1998, the third partner was brutally
murdered in his home, and to this day no charges have been
made in the case. Not long thereafter one of the two
surviving partners sued the other and won a judgement
in excess of US$10 million and custody of the RB-2000,
which had disappeared immediately after its sole public
flight. When no rocketbelt or money was forthcoming,
the plaintiff kidnapped the defendant and imprisoned
him in a wooden box for eight days, when fortuitous
circumstances permitted the victim to escape. The kidnapper
was quickly apprehended and subsequently sentenced to
life plus ten years for the crime (the sentence was
later reduced to eight years). The kidnappee
later spent more than five months in jail for contempt of
court for failing to produce the RB-2000 in a civil suit.
To this day, the whereabouts of the RB-2000, if it still
exists, are unknown.
Now, you don't need to be a rocket scientist to figure out that
flitting through the sky with a contraption powered by highly volatile
and corrosive propellant, with total flight time of 21 seconds, and no
backup systems of any kind is a perilous undertaking. But who would
have guessed that trying to do so would entail the kinds of
consequences the RB-2000 venture inflicted upon its principals?
A final chapter covers recent events in rocketbelt land,
including the first International Rocketbelt Convention
in 2006. The reader is directed to Peter Gijsberts'
www.rocketbelt.nl site
for news and additional information on present-day rocketbelt
projects, including commercial ventures attempting to bring
rocketbelts to market. One of the most remarkable things about
the curious history of rocketbelts is that, despite occasional claims
and ambitious plans, in the more than 45
years which have elapsed since the first flight of the
Bell rocketbelt, nobody has substantially improved upon
its performance.
A U.S. Edition was published in
2005, but is now out of print.
- Lileks, James.
Gastroanomalies.
New York: Crown Publishers, 2007.
ISBN 0-307-38307-5.
-
Should you find this delightful book under your tree this
Christmas Day, let me offer you this simple plea. Do not curl
up with it late at night after the festivities are over and you're
winding down for the night. If you do:
- You will not get to sleep until you've
finished it.
- Your hearty guffaws will keep everybody else
awake as well.
- And finally, when you do drift off to sleep, visions of the
culinary concoctions collected here may impede digestion
of your holiday repast.
This sequel to
The
Gallery of Regrettable Food (April 2004) presents
hundreds of examples of tasty treats from cookbooks and
popular magazines from the 1930s through the 1960s. Perusal
of these execrable entrées will make it immediately obvious
why the advertising of the era featured so many patent remedies
for each and every part of the alimentary canal. Most illustrations
are in ghastly colour, with a few in merciful black and white.
It wasn't just Americans who outdid themselves crafting dishes in the
kitchen to do themselves in at the dinner table—a chapter is
devoted to Australian delicacies, including some
of the myriad ways to consume “baiycun”. There's
something for everybody: mathematicians will savour the
countably infinite beans-and-franks open-face sandwich (p. 95),
goths will delight in discovering the dish Satan always brings
to the pot luck (p. 21), political wonks need no longer
wonder which appetiser won the personal endorsement of Earl
Warren (p. 23), movie buffs will finally learn
the favourite Bisquick recipes of Joan Crawford, Clark Gable, Bing
Crosby, and Bette Davis (pp. 149–153),
and all of the rest of us who've spent
hours in the kitchen trying to replicate grandma's chicken
feet soup will find the secret revealed here (p. 41).
Revel in the rediscovery of aspic: the lost secret of turning
unidentifiable food fragments into a gourmet treat by
entombing them in jiggly meat-flavoured Jello-O.
Bon appétit!
Many other vintage images of all kinds are available on
the author's Web site.
- Hellman, Hal.
Great Feuds in Mathematics.
Hoboken, NJ: John Wiley & Sons, 2006.
ISBN 0-471-64877-9.
-
Since antiquity, many philosophers have looked upon
mathematics as one thing, perhaps the only thing,
that we can know for sure, “the last fortress
of certitude” (p. 200). Certainly then,
mathematicians must be dispassionate
explorers of this frontier of knowledge, and
mathematical research a grand collaborative endeavour,
building upon the work of the past and weaving the
various threads of inquiry into a seamless intellectual
fabric. Well, not exactly….
Mathematicians are human, and mathematical research is
a human activity like any other, so regardless of the
austere crystalline perfection of the final product,
the process of getting there can be as messy, contentious,
and consequently entertaining as any other enterprise
undertaken by talking apes. This book chronicles ten of
the most significant and savage disputes in the history
of mathematics. The bones of contention vary from the
tried-and-true question of priority (Tartaglia vs.
Cardano on the solution to cubic polynomials, Newton
vs. Leibniz on the origin of the differential and
integral calculus), the relation of mathematics to
the physical sciences (Sylvester vs. Huxley), the
legitimacy of the infinite in mathematics
(Kronecker vs. Cantor, Borel vs. Zermelo), the
proper foundation for mathematics (Poincaré vs.
Russell, Hilbert vs. Brouwer), and even
sibling rivalry (Jakob vs. Johann Bernoulli).
A final chapter recounts the incessantly disputed question
of whether mathematicians discover structures
that are “out there” (as John D. Barrow
puts it, “Pi in the Sky”)
or invent what is ultimately as much a human construct
as music or literature.
The focus is primarily on people and events, less so on the
mathematical questions behind the conflict; if you're unfamiliar with
the issues involved, you may want to look them up in other
references. The stories presented here are an excellent antidote to
the retrospective view of many accounts which present mathematical
history as a steady march forward, with each generation building upon
the work of the previous. The reality is much more messy, with the
directions of inquiry chosen for reasons of ego and national pride as
often as inherent merit, and the paths not taken often as interesting
as those which were. Even if you believe (as I do) that mathematics
is “out there”, the human struggle to discover and figure
out how it all fits together is interesting and ultimately inspiring,
and this book provides a glimpse into that ongoing quest.