
Source: Adventures of a Mathematician - Third Edition (1991), Chapter 11, The 'Super', p. 222
J. J. Sylvester. "Additional Notes to Prof. Sylvester's Exeter British Association Address", Collected Mathematical Papers, Vol. 2 (1908), pp. 717–718 https://babel.hathitrust.org/cgi/pt?id=miun.aas8085.0002.001;view=1up;seq=732
Source: Adventures of a Mathematician - Third Edition (1991), Chapter 11, The 'Super', p. 222
William Hazlitt Lectures on the English Poets (Philadelphia: Thomas Dobson, 1818) p. 243.
Criticism
[Calculus as an Experimental Science, 78, 6, 1971, 664–667, The American Mathematical Monthly, 10.2307/2316582]
Address to the British Association for the Advancement of Science (1898)
Context: No incident in my scientific career is more widely known than the part I took many years ago in certain psychic researches. Thirty years have passed since I published an account of experiments tending to show that outside our scientific knowledge there exists a Force exercised by intelligence differing from the ordinary intelligence common to mortals. This fact in my life is, of course, well understood by those who honored me with the invitation to become your president. Perhaps among my audience some may feel curious as to whether I shall speak out or be silent. I elect to speak, although briefly. … To ignore the subject would be an act of cowardice — an act of cowardice I feel no temptation to commit.
To stop short in any research that bids fair to widen the gates of knowledge, to recoil from fear of difficulty or adverse criticism, is to bring reproach on science. There is nothing for the investigator to do but to go straight on; "to explore up and down, inch by inch, with the taper his reason; "to follow the light wherever it may lead, even should it at times resemble a will-o'-the-wisp. I have nothing to retract. I adhere to my already published statements. Indeed, I might add much thereto. I regret only a certain crudity in those early expositions which, no doubt justly, militated against their acceptance by the scientific world. My own knowledge at that time scarcely extended beyond the fact that certain phenomena new to science had assuredly occurred, and were attested by my own sober senses and, better still, by automatic record. I was like some two-dimensional being who might stand at the singular point of a Riemann's surface, and thus find himself in infinitesimal and inexplicable contact with a plane of existence not his own.
I think I see a little farther now. I have glimpses of something like coherence among the strange elusive phenomena; of something like continuity between those unexplained forces and laws already known. This advance is largely due to the labors of another association, of which I have also this year the honor to be president — the Society for Psychical Research. And were I now introducing for the first time these inquiries to the world of science I should choose a starting point different from that of old. It would be well to begin with telepathy; with the fundamental law, as I believe it to be, that thoughts and images may be transferred from one mind to another without the agency of the recognized organs of sense — that knowledge may enter the human mind without being communicated in any hitherto known or recognized ways.
The Law of Mind (1892)
The Confession (c. 452?)
Source: Examples of the processes of the differential and integral calculus, (1841), p. 237; Lead paragraph of Ch. XV, On General Theorems in the Differential Calculus,; Cited in: James Gasser (2000) A Boole Anthology: Recent and Classical Studies in the Logic of George Boole,, p. 52
1900s, Address at the Prize Day Exercises at Groton School (1904)
Context: You often hear people speaking as if life was like striving upward toward a mountain peak. That is not so. Life is as if you were traveling a ridge crest. You have the gulf of inefficiency on one side and the gulf of wickedness on the other, and it helps not to have avoided one gulf if you fall into the other. It shall profit us nothing if our people are decent and ineffective. It shall profit us nothing if they are efficient and wicked. In every walk of life, in business, politics; if the need comes, in war; in literature, science, art, in everything, what we need is a sufficient number of men who can work well and who will work with a high ideal. The work can be done in a thousand different ways. Our public life depends primarily not upon the men who occupy public positions for the moment, because they are but an infinitesimal fraction of the whole. Our public life depends upon men who take an active interest in that public life; who are bound to see public affairs honestly and competently managed; but who have the good sense to know what honesty and competency actually mean. And any such man, if he is both sane and high-minded, can be a greater help and strength to any one in public life than you can easily imagine without having had yourselves the experience. It is an immense strength to a public man to know a certain number of people to whom he can appeal for advice and for backing; whose character is so high that baseness would shrink ashamed before them; and who have such good sense that any decent public servant is entirely willing to lay before them every detail of his actions, asking only that they know the facts before they pass final judgment.