In that he shows, with great logical skill, as well as with some humour,
how the man who, on rising in the morning, finds the parlour window open,
the spoons and teapot gone, the mark of a dirty hand on the window-sill,
and that of a hob-nailed boot outside, and comes to the conclusion that
some one has broken open the window and stolen the plate, arrives at that
hypothesis--for it is nothing more--by a long and complex train of
inductions and deductions, of just the same kind as those which,
according to the Baconian philosophy, are to be used for investigating
the deepest secrets of Nature.
This is true, even of those sciences which involve long mathematical
calculations. In fact, the stating of the problem to be solved is the
most important element in the calculation; and that is so thoroughly a
labour of common sense that an utterly uneducated man may, and often
does, state an abstruse problem clearly and correctly; seeing what ought
to be proved, and perhaps how to prove it, though he may be unable to
work the problem out, for want of mathematical knowledge.
But that mathematical knowledge is not--as all Cambridge men are surely
aware--the result of any special gift. It is merely the development of
those conceptions of form and number which every human being possesses;
and any person of average intellect can make himself a fair mathematician
if he will only pay continuous attention; in plain English, think enough
about the subject.
There are sciences, again, which do not involve mathematical calculation;
for instance, botany, zoology, geology, which are just now passing from
their old stage of classificatory sciences into the rank of organic ones.
These are, without doubt, altogether within the scope of the merest
common sense. Any man or woman of average intellect, if they will but
observe and think for themselves, freely, boldly, patiently, accurately,
may judge for themselves of the conclusions of these sciences, may add to
these conclusions fresh and important discoveries; and if I am asked for
a proof of what I assert, I point to 'Rain and Rivers,' written by no
professed scientific man, but by a colonel in the Guards, known to fame
only as one of the most perfect horsemen in the world.
Let me illustrate my meaning by an example. A man--I do not say a
geologist, but simply a man, squire or ploughman--sees a small valley,
say one of the side-glens which open into the larger valleys in the
Windsor forest district. He wishes to ascertain its age.
Public-domain text, read in full here on John Shaqi.
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