In every framework of thought which man had ever devised, the circle was
prominent, vital. It played its part in every creed of every race, of
every time. It was as essential to the ancient arts of magic as to the
current methods of science. It played its part in the movement of
planets, the shape of stars, perhaps the essence of the total universe.
Man might be too didactic in requiring that awareness develop a physical
science comparable to his own, but surely awareness, whatever form it
took, would know the circle.
He sank down on his haunches beside the smooth sand, and with the tip of
his finger he quickly drew a circle.
The furrow, scratched in the sand, did not close or smooth out!
He sat back and waited. Nothing happened. It was almost as if the
invisible intelligence were saying, "All right. You are aware of a
circle. That was obvious to us from your artifacts. What else do you
know?"
He leaned forward, and as nearly as he could estimate, he dotted the
center of the circle with a finger, then scratched a radius to the
perimeter. It stayed. To one side he drew another line, approximating
the radius and in parenthesis he drew a small 2. Beside this he wrote
R². He drew an equals sign. He scratched the pi sign.
Then he drew another circle and with the palm of his hand he smoothed
all its interior. That should be plain enough. The symbols stayed. They
understood his mathematics, then. The equation seemed undisturbed, yet
there was something wrong with it. He had to look closely at the sand
before he saw what it was.
The = had changed to : !
Why had they changed the meaning by substituting "proportionate to" for
"equals"? He felt a flash of exasperation. Well sure, without tools he
could not draw a perfect circle, nor two of them entirely equal. It was
pedantic of them to split hairs over that? He must practice, without
tools, to draw a perfect circle?
Or was that running around inside his low fence?
He looked down at the sand, and saw the entire scratching was now
smoothed out. Apparently he was on the wrong track. Hadn't got what they
meant.
He wrote again in the sand: "pi = 3.14159265...."
Again = changed to : .
Again he felt his flash of exasperation. It must be obvious by his
string of dots that he knew pi had never been exactly resolved. They
were being too pedantic. He must exactly resolve it? Yet the numbers
could be continued to infinity and never exactly resolved. He looked
down again, and the equation was gone.
Wrong track again.
He sat forward, hugged his knees, and stared into the water.
The equation had never been exactly resolved, yet man used it as a
constant, an absolute. An obvious fallacy. Was the difference between
physical science and psi science based in this insignificant difference
in exactness? Try something else. See what happens. There was an
equation which had proved its effectiveness, upon which the whole
science of atomics was based.
"E = MC²," he wrote.
Again = changed to : .
Public-domain text, read in full here on John Shaqi.
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