<h2> <SPAN name="article09"></SPAN> The Mathematical Mind </h2>
<p>My daily paper just now is full of mathematical difficulties,
submitted by its readers for the amusement of one of its
staff. Every morning he appeals to us for assistance in
solving tricky little problems about pints of water and
herrings and rectangular fields. The magic number
“9” has a great fascination for him. It is
terrifying to think that if you multiply any row of figures
by 9 the sum of the figures thus obtained is divisible by 9.
It is uncanny to hear that if a clock takes six seconds to
strike six it takes as much as thirteen seconds and a fifth
to strike twelve.</p>
<p>As a relief from searching for news in a press devoid of
news, the study of these problems is welcome enough, and to
the unmathematical mind, no doubt, the solutions appear to be
something miraculous. But to the mathematical mind a thing
more miraculous is the awe with which the unmathematical
regard the simplest manipulation of figures. Most of my life
at school was spent in such pursuits that I feel bound to
claim the mathematical mind to some extent, with the result
that I can look down wonderingly upon these deeps of
ignorance yawning daily in the papers--much, I dare say, as
the senior wrangler looks down upon me. Figures may puzzle me
occasionally, but at least they never cause me surprise or
alarm.</p>
<p>Naturally, then, I am jealous for the mathematical mind. If a
man who makes a false quantity, or attributes Lycidas to
Keats, is generally admitted to be uncultured, I resent it
very much that no stigma attaches to the gentleman who cannot
do short division. I remember once at school having to do a
piece of Latin prose about the Black Hole of Calcutta. It was
a moving story as told in our prose book, and I had spent an
interesting hour turning into fairly correct and wholly
uninspired Latin--the sort of Latin I suppose which a small
uneducated Roman child (who had heard the news) would have
written to a school-boy friend. The size of the Black Hole
was given as “twenty foot square.” I had no idea
how to render this idiomatically, but I knew that a room 20
ft. square contained 400 square feet. Also I knew the Latin
for one square foot. But you will not be surprised to hear
that my form master, a man of culture and education, leapt
upon me.</p>
<p>“Quadringenti,” he snapped, “is 400, not
20.”</p>
<p>“Quite so,” I agreed. “The room had 400
square feet.”</p>
<p>“Read it again. It says 20 square feet.”</p>
<p>“No, no, 20 feet square.”</p>
<p>He glared at me in indignation. “What’s the
difference?” he said.</p>
<p>I sighed and began to explain. I went on explaining. If there
had not been other things to do than teaching cultured and
educated schoolmasters, I might be explaining still.</p>
<p>Yes, I resented this; and I resent now the matter-of-fact way
in which we accept the ignorance of mathematics shown by our
present teachers--the press. At every election in which there
are only two candidates a dozen papers discover with
amazement this astounding coincidence in the figures: that
the decrease in, say, the Liberal vote subtracted from the
increase in the Conservative vote is exactly equal to the
increase in the poll. If there should happen to be three
candidates for a seat, the coincidences discovered are yet
more numerous and astonishing. Last Christmas a paper let
itself go still further, and dived into the economics of the
plum pudding. A plum pudding contains raisins, flour, and
sugar. Raisins had gone up 2d. a pound, or whatever it was,
flour 6d., and sugar 1d. Hence the pudding now would cost 9d.
a pound more!</p>
<p>Consider, too, the extraordinary antics of the press over the
methods of scoring in the cricket championship. Wonderful new
suggestions are made which, if followed, could only have the
effect of bringing the teams out in exactly the same order as
before. The simplest of simple problems in algebra would have
shown them this, but they feared to mix themselves up with
such unknown powers of darkness. The Theory of Probability,
again, leaves the press entirely cold, so that it is ready to
father any childish “system” for Monte Carlo. And
nine men out of ten really believe that, if you toss a penny
five times in the air and it comes down heads each time, it
is more likely to come down tails than heads next time.</p>
<p>Yet papers and people who think like this are considered
quite capable of dealing with the extraordinarily complicated
figures of national finance. They may boom or condemn
insurance bills and fiscal policies, and we listen to them
reverently. As long as they know what Mr. Gladstone said in
’74, it doesn’t seem to matter at all what Mr.
Todhunter said in his “Arithmetic for Beginners.”</p>
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