Left Hand of the Electron by Isaac Asimov
Author:Isaac Asimov [Asimov, Isaac]
Format: epub
Published: 2010-05-22T00:24:06.435000+00:00
HO THE P R O B L E M OF N U M B E R S AND L I N E S
theory. It is perfectly easy to understand the system for writing
and handling numbers in a 30-based system, but to try to do so
in actual manipulations on paper is a one-way ticket to the booby
hatch—at least if your mind is no nimbler than mine.
The gain in prime-concentration in passing to a 30-based system (and I won't even talk about a 210-based system or anything
higher) is simply not worth the tremendous loss in manipulability.
Let us therefore stick with the 6-based system, which is not only
more efEcient as a prime-concentrator than our ordinary 10-based
system is, but is actually easier to manipulate once you are used
to it.
Or we can put it another way. It is the 6-based system which is,
in this respect at least, of prime quality.*
* Let there be no groaning in the galleryl
l O E U C L I D S F I F T H
Some of my articles stir up more reader comment than others,
and one of the most effective in this respect was one I once wrote
in which I listed those who, in my opinion, were scientists of the
first magnitude and concluded by working up a personal list of
the ten greatest scientists of all time.
Naturally, I received letters arguing for the omission of one or
more of my ten best in favor of one or more others, and I still
get them, even now, seven and a half years after the article was
written.
Usually, I reply by explaining that estimates as to the ten greatest scientists (always excepting the case of Isaac Newton, concerning whom there can be no reasonable disagreement) are largely a
subjective matter and cannot really be argued out.
Recently, I received a letter from a reader who argued that
Archimedes, one of my ten, ought to be replaced by Euclid, who
was not one of my ten. I replied in my usual placating manner,
but then went on to say that Euclid was "merely a systematizer"
while Archimedes had made very important advances in physics
and mathematics.
But later my conscience grew active. I still adhered to my own
opinion of Archimedes taking pride of place over Euclid, but the
phrase "merely a systematizer" bothered me. There is nothing necessarily "mere" about being a systematizer.*
For three centuries before Euclid (who flourished about 300
B.C.) Greek geometers had labored at proving one geometric
theorem or another and a great many had been worked out.
What Euclid did was to make a system out of it all. He began
* Sometimes there is. In all my non-fiction writings I am "merely" a
systematizer. —Just in case you think I'm never modest.
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