A Budget of Paradoxes, Volume IIDe Morgan, Augustus
Philosophy
A Budget of Paradoxes, Volume II
De Morgan, Augustus
Circle-squaring; Perpetual motion; Science -- Miscellanea; Trisection of angle
"The uncultivated reason proceeds by a process almost entirely material.
Though the necessary law of thought {121} must determine the conclusion of
the ploughboy as much as that of Aristotle himself, the ploughboy's
conclusion will only be tolerably sure when the matter of it is such as
comes within his usual cognizance. He knows that geese being all birds does
not make all birds geese, but mainly because there are ducks, chickens,
partridges, etc. A beginner in geometry, when asked what follows from
'Every A is B,' answers 'Every B is A.' That is, the necessary laws of
thought, except in minds which have examined their tools, are not very sure
to work correct conclusions except upon familiar matter.... As the
cultivation of the individual increases, the laws of thought which are of
most usual application are applied to familiar matter with tolerable
safety. But difficulty and risk of error make a new appearance with a new
subject; and this, in most cases, until new subjects are familiar things,
unusual matter common, untried nomenclature habitual; that is, until it is
a habit to be occupied upon a novelty. It is observed that many persons
reason well in some things and badly in others; and this is attributed to
the consequence of employing the mind too much upon one or another subject.
But those who know the truth of the preceding remarks will not have far to
seek for what is often, perhaps most often, the true reason.... I maintain
that logic tends to make the power of reason over the unusual and
unfamiliar more nearly equal to the power over the usual and familiar than
it would otherwise be. The second is increased; but the first is almost
created."
Mr. James Smith, by bringing ignorance, folly, dishonesty into contact with
my name, in the way of conditional insinuation, has done me a good turn: he
has given me right to a freedom of personal remark which I might have
declined to take in the case of a person who is useful and respected in
matters which he understands.
Tit for tat is logic all the world over. By the way, what has become of the
rest of the maxim: we never hear it {122} now. When I was a boy, in some
parts of the country at least, it ran thus:
"Tit for tat;
Butter for fat:
If you kill my dog,
I'll kill your cat."
Public-domain text, read in full here on John Shaqi.
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