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Students doing math in school learn about well defined
sets. They learn to discern whether something is or isn't in a
set. The number "two" is in a set of even numbers,
and not in a set of odd numbers, and no number can be both even and
odd.
Recently physicists and engineers started talking about fuzzy
sets, where some things can belong to a certain degree in a
set. Fuzzy scientists think about questions that are matters
of degree. It's clear that you wouldn't put a four foot two
inch man in a set of tall men. But where does a five foot ten
inch man fit? Asians might not agree with North Americans
about whether to put him in a tall set or not.
Any property like height, which is continuous, leaves us in a
difficult situation. If six foot is tall, how do we classify
five foot eleven inches?
All this is not just philosophy, because engineers are using
fuzzy sets to produce more flexible machines. So, a fuzzy
washing machine has an electronic eye that keeps track of a range of
variables. It adjusts its instructions in response to many
quantities which come in degrees of difference. How dirty is
it? How big is the load? Similarly, smart T.V.s monitor
and adjust the brightness and contrast of a shifting image.
So next time you are accused of fuzzy thinking, take
comfort that today's scientists use fuzzy logic to deal with a world
that is grey, rather than white and black.
MOVING BEYOND MATTER
With Christopher Shennan
Fuzzy thinking is not always bad, and admitting doubts may be the
door through which we pass into certainty.
It is interesting to note that scientists often admit their
ignorance regarding some aspects of the field they are
studying. In a previous science short, Dr. David
Humphreys, said, "How stars wield power over an entire galaxy
is an ongoing mystery to astronomers."* The very act of
admitting their ignorance spurs them on to further study and
exploration. No one enjoys being around someone who gives the
impression he knows it all; that there is no possibility that he may
have missed a point, or could learn something new.
So it is with life - no matter how much we know and have proved
to ourselves, there is a vast universe of knowledge out there we can
only imagine. Of course, there are things we can be sure of,
or life would be a shifting sea with no landfall possible, and no
compass to steer by either. But doubts and fuzzy thinking are
inevitable. What we do with our doubts is what determines our
ultimate destination, though - either we arrive at satisfying
answers, or we drown in a sea of doubtful conclusions.
Doubts may not be such a bad thing, so long as you are prepared
to confront them with courage and diligent enquiry.
Too many people are content to be ignorant, or at least casual
about spiritual things. They cling to vague ideas that comfort
them without considering the big questions of life in any meaningful
kind of way. How long has it been since you gave serious
thought to spiritual things?
*(See:
Science Shorts - Action
in the Galactic Atmosphere)
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