A Budget of Paradoxes, Volume IDe Morgan, Augustus
Philosophy
A Budget of Paradoxes, Volume I
De Morgan, Augustus
Circle-squaring; Perpetual motion; Science -- Miscellanea; Trisection of angle
He used to sit at his open window on the ground floor, as deep in geometry
as a Robert Simson ought to be. Here he would be accosted by beggars, to
whom he generally gave a trifle, he roused himself to hear a few words of
the story, made his donation, and instantly dropped down into his depths.
Some wags one day stopped a mendicant who was on his way to the window with
"Now, my man, do as we tell you, and you will get something from that
gentleman, and a shilling from us besides. You will go and say you are in
distress, he will ask you who you are, and you will say you are Robert
Simson, son of John Simson of Kirktonhill." The man did as he was told;
Simson quietly gave him a coin, and dropped off. The wags watched a little,
and saw him rouse himself again, and exclaim "Robert Simson, son of John
Simson of Kirktonhill! why, that is myself. That man must be an impostor."
Lord Brougham tells the same story, with some difference of details.
{203}
BARON MASERES.
Baron Maseres[458] was, as a writer, dry; those who knew his writings will
feel that he seldom could have taken in a joke or issued a pun. Maseres was
the fourth wrangler of 1752, and first Chancellor's medallist (or highest
in classics); his second was Porteus[459] (afterward Bishop of London).
Waring[460] came five years after him: he could not get Maseres through the
second page of his first book on algebra; a negative quantity stood like a
lion in the way. In 1758 he published his _Dissertation on the Use of the
Negative Sign_,[461] 4to. There are some who care little about + and -, who
would give it house-room for the sake of the four words "Printed by Samuel
Richardson."
Maseres speaks as follows: "A single quantity can never be marked with
either of those signs, or considered as either affirmative or negative; for
if any single quantity, as b, is marked either with the sign + or with the
sign - without assigning some other quantity, as a, to which it is to be
added, or from which it is to be subtracted, the mark will have no meaning
or signification: thus if it be said that the square of -5, or the product
of -5 into -5, is equal to +25, such an assertion must either signify no
more than that 5 times 5 is equal to 25 without any regard to the signs, or
it must be mere nonsense and unintelligible jargon. I speak according to
the foregoing definition, by which the affirmativeness or negativeness of
any quantity implies a relation to another quantity of the same kind to
which it {204} is added, or from which it is subtracted; for it may perhaps
be very clear and intelligible to those who have formed to themselves some
other idea of affirmative and negative quantities different from that above
defined."
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