Knot Quotes (11 quotes)
…where the electron behaves and misbehaves as it will,
where the forces tie themselves up into knots of atoms
and come united…
where the forces tie themselves up into knots of atoms
and come united…
'Give Us Gods', David Herbert Lawrence, The Works of D.H. Lawrence (1994), 354.
Ask a follower of Bacon what [science] the new philosophy, as it was called in the time of Charles the Second, has effected for mankind, and his answer is ready; “It has lengthened life; it has mitigated pain; it has extinguished diseases; it has increased the fertility of the soil; it has given new securities to the mariner; it has furnished new arms to the warrior; it has spanned great rivers and estuaries with bridges of form unknown to our fathers; it has guided the thunderbolt innocuously from heaven to earth; it has lighted up the night with the splendour of the day; it has extended the range of the human vision; it has multiplied the power of the human muscles; it has accelerated motion; it has annihilated distance; it has facilitated intercourse, correspondence, all friendly offices, all dispatch of business; it has enabled man to descend to the depths of the sea, to soar into the air, to penetrate securely into the noxious recesses of the earth, to traverse the land in cars which whirl along without horses, to cross the ocean in ships which run ten knots an hour against the wind. These are but a part of its fruits, and of its first-fruits; for it is a philosophy which never rests, which has never attained, which is never perfect. Its law is progress. A point which yesterday was invisible is its goal to-day, and will be its starting-point to-morrow.”
From essay (Jul 1837) on 'Francis Bacon' in Edinburgh Review. In Baron Thomas Babington Macaulay and Lady Trevelyan (ed.) The Works of Lord Macaulay Complete (1871), Vol. 6, 222.
I am the most travelled of all my contemporaries; I have extended my field of enquiry wider than anybody else, I have seen more countries and climes, and have heard more speeches of learned men. No one has surpassed me in the composition of lines, according to demonstration, not even the Egyptian knotters of ropes, or geometers.
In Alan L. Mackay, A Dictionary of Scientific Quotations (1992, 1994), 71.
If my impressions are correct, our educational planing mill cuts down all the knots of genius, and reduces the best of the men who go through it to much the same standard.
The Reminiscences of an Astronomer (1903), 75.
My soul is an entangled knot,
Upon a liquid vortex wrought
By Intellect in the Unseen residing,
And thine doth like a convict sit,
With marline-spike untwisting it,
Only to find its knottiness abiding;
Since all the tools for its untying
In four-dimensional space are lying,
Wherein they fancy intersperses
Long avenues of universes,
While Klein and Clifford fill the void
With one finite, unbounded homoloid,
And think the Infinite is now at last destroyed. (1878)
Upon a liquid vortex wrought
By Intellect in the Unseen residing,
And thine doth like a convict sit,
With marline-spike untwisting it,
Only to find its knottiness abiding;
Since all the tools for its untying
In four-dimensional space are lying,
Wherein they fancy intersperses
Long avenues of universes,
While Klein and Clifford fill the void
With one finite, unbounded homoloid,
And think the Infinite is now at last destroyed. (1878)
A parody of Shelley as 'A Paradoxical Ode', quoted in Lewis Campbell and William Garnett, The Life of James Clerk Maxwell (1882), 649-650.
One evening at a Joint Summer Research Congerence in the early 1990’s Nicholai Reshetikhin and I [David Yetter] button-holed Flato, and explained at length Shum’s coherence theorem and the role of categories in “quantum knot invariants”. Flato was persistently dismissive of categories as a “mere language”. I retired for the evening, leaving Reshetikhin and Flato to the discussion. At the next morning’s session, Flato tapped me on the shoulder, and, giving a thumbs-up sign, whispered, “Hey! Viva les categories! These new ones, the braided monoidal ones.”
In David N. Yetter, Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations, and Topological Invariants (2001), 8. Yetter writes this personal anecdote is given as a narrative in his own words. Presumable the phrases in quotation marks are based on recollection when written years later.
Some of the men stood talking in this room, and at the right of the door a little knot had formed round a small table, the center of which was the mathematics student, who was eagerly talking. He had made the assertion that one could draw through a given point more than one parallel to a straight line; Frau Hagenström had cried out that this was impossible, and he had gone on to prove it so conclusively that his hearers were constrained to behave as though they understood.
In Little Herr Friedemann (1961), 25.
Talent, in difficult situations, strives to untie knots, which genius instantly cuts with one swift decision.
In 'Genius', Wellman’s Miscellany (Dec 1871), 4, No. 6, 203.
The knife is the most permanent, the most immortal, the most ingenious of man's creations. The knife was a guillotine; the knife is a universal means of resolving all knots...
We (1924), translated by Clarence Brown (1993), 113.
The method of inquiry which all our ingenious Theorists of the Earth have pursued is certainly erroneous. They first form an hypothesis to solve the phenomena, but in fact the Phenomena are always used as a prop to the hypothesis.
Instead therefore of attempting to cut the gordian knot by Hypothetical analysis, we shall follow the synthetic method of inquiry and content ourselves with endeavouring to establish facts rather than attempt solutions and try by experiments how far that method may leave us thro' the mazes of this subject
Instead therefore of attempting to cut the gordian knot by Hypothetical analysis, we shall follow the synthetic method of inquiry and content ourselves with endeavouring to establish facts rather than attempt solutions and try by experiments how far that method may leave us thro' the mazes of this subject
Introduction to his lecture course. In Robert Jameson, edited by H. W. Scott, Lectures on Geology, (1966), 27. In Patrick Wyse Jackson, Four Centuries of Geological Travel (2007), 33.
This knot of nature is so well tied that nobody was ever cunning enough to find the two ends.
From 'Fate', collected in The Complete Works of Ralph Waldo Emerson, Volume 6: The Conduct of Life (1860), 36.
In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion.
(1987) -- 
