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
The instances named are painfully astonishing: I give one which has fallen
out of sight, because it will preserve an imperfect biography. John
Wilson[488] is Wilson of that {222} Ilk, that is, of "Wilson's Theorem." It
is this: if _p_ be a prime number, the product of all the numbers up to
_p_-1, increased by 1, is divisible without remainder by _p_. All
mathematicians know this as Wilson's theorem, but few know who Wilson was.
He was born August 6, 1741, at the Howe in Applethwaite, and he was heir to
a small estate at Troutbeck in Westmoreland. He was sent to Peterhouse, at
Cambridge, and while an undergraduate was considered stronger in algebra
than any one in the University, except Professor Waring, one of the most
powerful algebraists of the century.[489] He was the senior wrangler of
1761, and was then for some time a private tutor. When Paley,[490] then in
his third year, determined to make a push for the senior wranglership,
which he got, Wilson was recommended to him as a tutor. Both were ardent in
their work, except that sometimes Paley, when he came for his lesson, would
find "Gone a fishing" written on his tutor's outer door: which was insult
added to injury, for Paley was very fond of fishing. Wilson soon left
Cambridge, and went to the bar. He practised on the northern circuit with
great success; and, one day, while passing his vacation on his little
property at Troutbeck, he received information, to his great surprise, that
Lord Thurlow,[491] with whom he had {223} no acquaintance, had recommended
him to be a Judge of the Court of Common Pleas. He died, Oct. 18, 1793,
with a very high reputation as a lawyer and a Judge. These facts are partly
from Meadley's _Life of Paley_,[492] no doubt from Paley himself, partly
from the _Gentleman's Magazine_, and from an epitaph written by Bishop
Watson.[493] Wilson did not publish anything: the theorem by which he has
cut his name in the theory of numbers was communicated to Waring, by whom
it was published. He married, in 1788, a daughter of Serjeant Adair,[494]
and left issue. _Had a family_, many will say: but a man and his wife are a
family, even without children. An actuary may be allowed to be accurate in
this matter, of which I was reminded by what an actuary wrote of another
actuary. William Morgan,[495] in the life of his uncle Dr. Richard
Price,[496] says that the Doctor and his {224} wife were "never blessed
with an addition to their family." I never met with such accuracy
elsewhere. Of William Morgan I add that my surname and pursuits have
sometimes, to my credit be it said, made a confusion between him and me.
Dates are nothing to the mistaken; the last three years of Morgan's life
were the first three years of my actuary-life (1830-33). The mistake was to
my advantage as well as to my credit. I owe to it the acquaintance of one
of the noblest of the human race, I mean Elizabeth Fry,[497] who came to me
for advice about a philanthropic design, which involved life questions,
Public-domain text, read in full here on John Shaqi.
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