<h2> <SPAN name="article33"></SPAN> Some Old Companions </h2>
<p>In the days of the last-war-but-thirty-seven, when (as you
will remember) the Peers were fighting the People, Lord
Curzon defended the hereditary system by telling us that it
worked very well in India, where a tailor’s son
invariably became a tailor. The obvious answer, if anyone
bothered to give it, was that the tailor’s son, having
had his career mapped out for him at birth, presumably
prepared to be a tailor, whereas a peer’s eldest son,
as far as one observed, did not prepare to be a statesman.
Indeed, the only profession in this country to which one is
apprenticed in one’s childhood is that of royalty. The
future King can begin to learn the “tactful
smile,” the “memory for faces,” the
knowledge of foreign languages and orders, almost as soon as
he begins to learn anything. He alone need not regret his
youth and say, “If only I had been taught this, that,
and the other instead!”</p>
<p>These gloomy reflections have been forced on me by the
re-discovery of all those educational books which I absorbed,
or was supposed to have absorbed, at school and college. They
made an imposing collection when I had got them all together;
fifty mathematical works by eminent Den, from a well-thumbed,
dog’s-eared <i>Euclid</i> to a clean uncut copy of
<i>Functions of a Quaternion</i>. It is doubtful if you even
know what a quaternion is, still less how it functions;
probably you think of it as a small four-legged animal with a
hard shell. You may be right--it is so long since I bought
the book. But once I knew all about quaternions; kept them,
possibly, at the bottom of the garden; and now I ask myself
in Latin (for I learnt Latin too), <i>“Cui
bono?”</i> How much better if I had learnt this, that,
and the other instead!</p>
<p>History for instance. How useful a knowledge of history would
be to me now. To lighten an article like this with a
reference to what Garibaldi said to Cavour in ’53; to
round off a sentence with the casual remark, “As was
the custom in Alexander’s day”; to trace back a
religious tendency, or a fair complexion, or the price of
boots to some barbarian invasion of a thousand years ago--how
delightfully easy it would be, I tell myself, to write with
such knowledge at one’s disposal. One would never be at
a loss for a subject, and plots for stories, plays, and
historical novels would be piled up in one’s brain for
the choosing. But what can one do with mathematics--save
count the words of an article (when written) with rather more
quickness and accuracy than one’s fellow writer? Did I
spend ten years at mathematics for this? The waste of it!</p>
<p>But perhaps those years were not so wasted as they seem to
have been. Not only Functions of a Quaternion, but other of
these books, chatty books about hydro-mechanics and dynamics
of a particle (no, not an article--that might have been
helpful--a particle), gossipy books about optics and
differential equations, many of these have a comforting air
of cleanness; as if, having bought them at the instigation of
my instructor, I had felt that this was enough, and that
their mere presence in my bookcase was a sufficient talisman;
a talisman the more effective because my instructor had
marked some of the chapters “R”--meaning, no
doubt, <i>“Read carefully”</i>--and other
chapters “RR” or <i>“Read twice as
carefully.”</i> For these seem to be the only marks in
some of the books, and there are no traces of midnight oil
nor of that earnest thumb which one might expect from the
perspiring seeker after knowledge.</p>
<p>So I feel--indeed, I seem to remember--that the years were
not so wasted after all. When I should have been looking
after my quaternions, I was doing something else, something
not so useful to one who would be a mathematician, but
perhaps more useful to a writer who had already learnt enough
to count the words in an article and to estimate the number
of guineas due to him. But whether this be so or not, at
least I have another reason for gratitude that I treated some
of these volumes so reverently. For I have now sold them all
to a secondhand bookseller, and he at least was influenced by
the clean look of those which I had placed upon the top.</p>
<p>So they stand now, my books, in a shelf outside the shop
waiting for a new master. Fifteen shillings I paid for some
of them, and you or anybody else can get them for three and
sixpence, with my autograph inside and the “R”
and “RR” of some of our most learned
mathematicians. I should like to hear from the purchaser, and
to know that he is giving my books as kind a home as I gave
them, treating them as reverently, exercising them as gently.
He can never be a mathematician, or anything else, unless he
has them on his shelves, but let him not force his attentions
upon them. Left to themselves they will exert their own
influence.</p>
<p>I shall wonder sometimes what he is going to be, this young
fellow who is now reading the books on which I was brought
up. Spurred on by the differential equations, will he decide
to be a lawyer, or will the dynamics of a particle help him
to realize his ambition of painting? Well, whatever he
becomes, I wish him luck. And when he sells the books again,
may he get a better price than I did.</p>
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