Memorabilia Mathematica; or, the Philomath's Quotation-Book
Science
Memorabilia Mathematica; or, the Philomath's Quotation-Book
Mathematics; Mathematics -- Quotations, maxims, etc.
=936.= J. J. Sylvester was an enthusiastic supporter of reform
[in the teaching of geometry]. The difference in attitude on this
question between the two foremost British mathematicians, J. J.
Sylvester, the algebraist, and Arthur Cayley, the algebraist and
geometer, was grotesque. Sylvester wished to bury Euclid “deeper
than e’er plummet sounded” out of the schoolboy’s reach; Cayley,
an ardent admirer of Euclid, desired the retention of Simson’s
_Euclid_. When reminded that this treatise was a mixture of
Euclid and Simson, Cayley suggested striking out Simson’s
additions and keeping strictly to the original treatise.
--CAJORI, F.
_History of Elementary Mathematics (New
York, 1910), p. 285._
=937.= Tait once urged the advantage of Quaternions on Cayley
(who never used them), saying: “You know Quaternions are just
like a pocket-map.” “That may be,” replied Cayley, “but you’ve
got to take it out of your pocket, and unfold it, before it’s of
any use.” And he dismissed the subject with a smile.
--THOMPSON, S. P.
_Life of Lord Kelvin (London, 1910), p.
1137._
=938.= As he [Clifford] spoke he appeared not to be working out a
question, but simply telling what he saw. Without any diagram or
symbolic aid he described the geometrical conditions on which the
solution depended, and they seemed to stand out visibly in space.
There were no longer consequences to be deduced, but real and
evident facts which only required to be seen.... So whole and
complete was his vision that for the time the only strange thing
was that anybody should fail to see it in the same way. When one
endeavored to call it up again, and not till then, it became
clear that the magic of genius had been at work, and that the
common sight had been raised to that higher perception by the
power that makes and transforms ideas, the conquering and
masterful quality of the human mind which Goethe called in one
word _das Dämonische_.--POLLOCK, F.
_Clifford’s Lectures and Essays (New
York, 1901), Vol. 1, Introduction, pp.
5-6._
=939.= Much of his [Clifford’s] best work was actually spoken
before it was written. He gave most of his public lectures with
no visible preparation beyond very short notes, and the outline
seemed to be filled in without effort or hesitation. Afterwards
he would revise the lecture from a shorthand writer’s report, or
sometimes write down from memory almost exactly what he had said.
It fell out now and then, however, that neither of these things
was done; in such cases there is now no record of the lecture at
all.--POLLOCK, F.
_Clifford’s Lectures and Essays (New
York, 1901), Vol. 1, Introduction, p.
10._
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