Q: In Fluke, you describe
coincidences, flukes, and serendipity. How do they overlap, and what are their
differences?
A: A coincidence requires a
surprise as well as a non-apparent cause. It could be the basis of an
interesting story, the bearer of good or bad luck, or simply a benign collision
of two events that have no qualitative effect on fortune.
A fluke is a rare event whose
cause might be apparent, but whose rareness suggests a surprise.
The real problem with
coincidences is in its definition. Coincidences are events that happen without
apparent cause. But we have to ask: Apparent to whom?
It does not mean there is no
cause. There is always a cause that could easily be hidden from understanding,
waiting to be discovered. The moment we learn the cause of a coincidental
phenomenon, its status diminishes to a simple fluke. It means that coincidences
are relative to the people affected by them.
Serendipity is always a good
event that might be less of a surprise than a coincidence.
Q: How would you define a
"meaningful coincidence," and what are some particularly striking
examples of this phenomenon?
A: Meaning is one of those
tricky words used freely without much thought about what it, itself, means. The
dictionary definition tells us: meaning is the thing one intends to convey by
an act or especially by language.
Ordinarily it is an element
of language that — through context and actions — sculpts the definitions of the
words we use. Often it is the target study of semiotic linguistic theory,
communication theory, and other philosophical theories.
I take your question to be
more than just a matter of words or sentences in a language that force us to
think of their implications.
The meaning of X — whatever
else meaning might be — must excite an emotional experience to the person who
is experiencing X. It might even sync with memories triggered by imperceptible
associations that can go far back in our long-forgotten past.
To me, a meaningful
coincidence brings with it transference, an imperceptibly swift subconscious
enrapturing diversion, possibly spiritual, or possibly something that makes one
think differently. This example of a meaningful coincidence appears on page 33
in Fluke:
On the night of October 19,
2006, my wife’s ninety-year-old mother died. A week before, after my
mother-in-law announced that she was ready to join her deceased husband, my
wife said, “Send me a sign.” The next day, after a heavy rain, the most sharply
defined, brilliant, double rainbow appeared, and moments later the two rainbows
gradually joined together as one. Was it a coincidence? It could not have
happened without the particular timing of my wife’s looking out the window to
notice the event. Rainbows don’t last long, and their periods of sharpness are
very limited. Was its cause apparent? Well, yes. Scientifically, rainbows are
caused by sunlight diffracting through tiny spheres of raindrops in the
atmosphere; however, the scientific explanation is not the cause of its timing
and being noticed. It may very well have been the promised sign. But what
caused the concurrence of timing and being noticed? Whatever it was is not
apparent, at least in the sense of how we defined nonapparent in the Introduction.
It is a case of evident meaning without an apparent cause. It surely touched
us, even tingled our spine. For a few moments, that rainbow and its archetypal
connection gave meaning to the entire concurrence.
Q: You write, "People
love coincidence stories, and think they are very rare." What intrigues
people about coincidences, and are they as rare as people think?
A: I think that people love
coincidence stories because they are rare, or seemingly rare. They like
diamonds because diamonds are stunningly beautiful, but also because they are
rare.
People like to hear about
archeological discoveries in remote parts of the world because we subliminally
yearn for an understanding of our past and of who we are, but also because
those discoveries are rare. In the ‘70s and ‘80s we were intrigued with NASA
satellite launches. They were rare then.
We take coincidence stories
as surprising events, marvel at their rarities, and ignore any sensible
explanations, even though many of the finest can be explained as mathematically
predictable.
We pay attention to apparent
rarity, but the deeper reason for our interest in coincidences is that they
transmit a strong sense of inclusive human connectivity, encourage evidence of
existential significance, and validate our longing for individuality.
In reality, coincidences
happen far more often than we think. Fluke shows us that they are all around
us. We become aware of them only when we unavoidably collide with them in the
routines of our lives. However, their frequency increases when we pay
attention. It’s all about paying
attention.
Q: What surprised you most in
the course of your research for this book?
A: Research for my books
involve imbedding myself in the surrounding subjects for several months or
possibly a year before I begin to write. I think of myself as a journalist with
a troop of experts whom I can consult.
Most of my research entails
interviews with helpful advisors and with reading articles and books that cover
aspects of history, psychology, and literature. It’s straightforward to someone
who has written extensively on connections between mathematics and its
peripheral fields.
The two biggest surprises are
how much people love coincidence stories and that everyone I meet tells me at
least one with great excitement. I was not surprised to learn that almost
everyone I spoke with in writing Fluke felt that coincidence stories are rare.
Q: What are you working on now?
A: I usually don’t like to
say what I’m working on too far in advance of my work. That’s because my work
does not always satisfy the great expectations of my followers and friends, a
published paper or book.
Understanding that, I can
tell you that at the moment I am exploring the question of luck, what it is,
how people think of it, and how it relates to the likelihood of a person’s good
or bad fortune. The topic is an outgrowth of two of my books, What’s Luck Got
to Do with It? (2010), and my present book, Fluke.
Another exploratory project
is on the history and mental powers of simple geometry, on how we came to the
simple concepts of a dimensionless points and breadth-less lines, and on how
far we have come from such simple yet powerfully creative concepts.
Q: Anything else we should
know?
A: One thing I learned over
the many years of learning, doing and teaching mathematics is that the
frontiers cannot be seriously understood without passing through an
understanding of the basics.
I’ve seen too many students
bury themselves so deeply in quagmires of advanced jargons that a sound
understanding never ripens. I’ve seen students drawn to the language of
generalizations in mathematics, learning the language with no ability to apply
it to anything specific. Their achievements level off to cocktails of fancy
words that amount to generalized jabberwocky.
My books follow the
philosophy of understanding the basics on the way to learning something deep. If
I promise that a book is for the general audience, I mean that my writing will
guide the general reader through all the layers of profundity that the book
offers.
And so, my writing style is suited
to exposing complex subjects in a friendly way. A reviewer once put it this
way: “Maybe the greatest compliment I can pay Mazur is that he doesn’t come
across like a professor in his writing–he’s more like a very interesting guy
sitting next to you on a plane ride out to Las Vegas, who’s got several hours
worth of anecdotes and an occasional mathematical proof to back them up.”
I always try to bring readers
to places they have never been and to tell them things they have not known, and
to keep readers reading with the feeling of being alive in a human
experience.
I do that with anecdotal
entrances and anecdotal relief, which are there to hook, amuse and then to give
clues to what the book is about or where it is going. When possible, I try to
bring in something that the reader can identify with, an historical character,
a place, an object, or a brief amusement.
--Interview with Deborah Kalb