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
I shall leave all comment for the second edition, if I publish one.[398] I
shall be sure to have something to laugh at. Anything said from a
respectable quarter, or supposed to be said, is sure to find defenders. Sam
Johnson, a sound arithmetician, comparing himself, and what he alone had
done in three years, with forty French Academicians and their forty years,
said it proved that an Englishman is to a Frenchman as 40 x 40 to 3, or as
1600 to 3. Boswell, who was no great hand at arithmetic, made him say that
an Englishman is to a Frenchman as 3 to 1600. When I pointed this out, the
supposed Johnson was defended through thick and thin in _Notes and
Queries_.
I am now curious to see whether the following will find a palliator. It is
from "Tristram Shandy," book V. chapter 3. There are two curious idioms,
"for for" and "half in half"; but these have nothing to do with my point:
"A blessing which tied up my father's tongue, and a misfortune which set it
loose with a good grace, were pretty equal: sometimes, indeed, the
misfortune was the better of the two; for, for instance, where the pleasure
of harangue was as _ten_, and the pain of the misfortune but as _five_, my
father gained half in half; and consequently was as well again off as if it
had never befallen him."
This is a jolly confusion of ideas; and wants nothing but a defender to
make it perfect. A person who invests five {250} with a return of ten, and
one who loses five with one hand and gains ten with the other, both leave
off five richer than they began, no doubt. The first gains "half in half,"
more properly "half _on_ half," that is, of the return, 10, the second 5 is
gain upon the first 5 invested. "Half _in_ half" is a queer way of saying
cent. per cent. If the 5l. invested be all the man had in the world, he
comes out, after the gain, twice as well off as he began, with reference to
his whole fortune. But it is very odd to say that balance of 5l. gain is
_twice_ as good as if nothing had befallen, either loss or gain. A
mathematician thinks 5 an infinite number of times as great as 0. The whole
confusion is not so apparent when money is in question: for money is money
whether gained or lost. But though pleasure and pain stand to one another
in the same algebraical relation as money gained and lost, yet there is
more than algebra can take account of in the difference.
Next, Ri. Milward[399] (Richard, no doubt, but it cannot be proved) who
published Selden's[400] Table Talk, which he had collected while serving as
amanuensis, makes Selden say, "A subsidy was counted the fifth part of a
man's estate; and so fifty subsidies is five and forty times more than a
man is worth." For _times_ read _subsidies_, which seems part of the
confusion, and there remains the making all the subsidies equal to the
first, though the whole of which they are to be the fifths is perpetually
diminished.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account