Quotes about magnitude
page 2
1840s, Heroes and Hero-Worship (1840), The Hero As King
Christmas message http://www.monarchie.lu/fr/actualites/discours/2014/12/discours-noel-lu/index.html (25 December 2015)
Society
The Story of Islamic Imperialism in India (1994)
Source: The Theory of Gambling and Statistical Logic (Revised Edition) 1977, Chapter Seven, Blackjack, p. 231
Source: Introduction to the Study of Public Administration, 1926, p. ix: Preface, lead paragraph
“Every magnitude, every dimension, requires a new configuration.”
Source: The Human Form: Sculpture, Prints, and Drawings, 1977, p. 10.
Source: Mathematical Lectures (1734), p. 388
Source: Organizational stress: Studies in role conflict and ambiguity, 1964, p. 16-17
Source: Ideas have Consequences (1948), p. 51.
"Human Equality Is a Contingent Fact of History", p. 186
The Flamingo's Smile (1985)
as hinted perhaps by the cosmological connotations of a<sub>0</sub>
MOND Theory, p. 5, Mordehai Milgrom, 30 Apr 2014, updated 31 Aug 2014 http://arxiv.org/abs/1404.7661,
On the Hypotheses which lie at the Bases of Geometry (1873)
In Theoria residiorum biquadraticorum, Commentatio secunda; Werke, Bd. 2 (Goettingen, 1863), p.177. As quoted by Robert Edouard Moritz in Memorabilia mathematica: the philomath's quotation book (1914) p. 282.
Why 'The Donald' Trumps Obama's Cult of Celebrity http://www.foxnews.com/opinion/2011/04/13/donald-trumps-obamas-cult-celebrity.html (April 13, 2011)
G.E.P Box (1955); cited in: JOC/EFR (2006) " George Edward Pelham Box http://www-history.mcs.st-and.ac.uk/Biographies/Box.html" at history.mcs.st-and.ac.uk, Nov 2006.
Ninth Memoir. On Several Convenient Forms of the Fundamental Equations of the Mechanical Theory of Heat.
The Mechanical Theory of Heat (1867)
Referring to leaks against Gillard allegedly made by Rudd during the 2010 election campaign.
The Killing Season, Episode three: The Long Shadow (2010–13)
p, 125
The Structure of the Universe: An Introduction to Cosmology (1949)
C 23
Aphorisms (1765-1799), Notebook C (1772-1773)
Footnote: The apparent advantage of the generality of this definition of number disappears as soon as we consider complex numbers. According to my view, on the other hand, the notion of the ratio between two numbers of the same kind can be clearly developed only after the introduction of irrational numbers.
Stetigkeit und irrationale Zahlen (1872)
Source: 1960s, The meaning of the twentieth century: the great transition, 1964, p. 126
p, 125
Geometrical Lectures (1735)
"Logical and Mathematical Thought?" in The Monist, Vol. 20 (1909-1910), p. 69
Act I
Buchanan Dying (1974)
As quoted in Mind Tools: The Five Levels of Mathematical Reality (1988) by Rudy Rucker. ~ ISBN 0395468108
IIII.37, The Arrow. p. 54
1921 - 1930, Pedagogical Sketch Book, (1925)
Source: Researches into the Mathematical Principles of the Theory of Wealth, 1897, p. 3 ; Cited in: Robert Edouard Moritz. Memorabilia mathematica; or, The philomath's quotation-book https://archive.org/stream/memorabiliamathe00moriiala#page/198/mode/2up, (1914) p. 33: About the nature of mathematics
As quoted by Haing S. Ngor (1987) Surviving the Killing Fields, pages 46-47.
Speeches
1990s, The Monarchy: A Critique of Britain's Favourite Fetish
Metropolis (1908)
Paul Klee to his son Felix Paul Klee, 29.12.1939; as quoted in 'Klee & Kandinsky', 2015 exhibition text, Lenbachhaus und Kunstbau Munich, 2015-2016 https://www.zpk.org/en/exhibitions/review_0/2015/klee-kandinsky-969.html
1931 -1940
Robert Grosseteste and the Origins of Experimental Science 1100-1700 (1953)
Source: Linear programming and extensions (1963), p. 1
Source: How Europe Underdeveloped Africa (1972), p. 221.
Speech regarding Civil Liberties and the War on Terrorism (November 20, 2006)
Source: Sir William Herschel: His Life and Works (1880), Ch.4 "Life and Works" quote from "Researches on the Motion of the Sun and of the Solar System in Space" (1782), p. 149
upto the death of Aurangzeb in AD 1707
Ram Gopal, Indian Resistance to Early Muslim Invaders Upto 1206 A.D., 1983, p.101.
Indian Resistance to Early Muslim Invaders Upto 1206 A.D.
1960s–1970s, A Conversation with Professor Friedrich A. Hayek (1979)
In a 1985 interview with Gary North and Mark Skousen, in Hayek on Hayek (1994)
1980s and later
C. K. Prahalad & Stuart L Hart, cited in: Jeffrey E. Garten (2002), The Politics of Fortune: A New Agenda for Business Leaders, p. 125
Source: 1960s, The meaning of the twentieth century: the great transition, 1964, p. 7
Goel, S. R. (1995). Muslim separatism: Causes and consequences.
"Ten Variable Stars of the Algol Type" http://books.google.com/books?id=UkdWAAAAYAAJ&pg=PA87 (1908) Annals of the Astronomical Observatory of Harvard College Vol.60. No.5
Source: 'English Politics and Parties', Bentley's Quarterly Review, 1, (1859), pp. 28-29
Source: Systems Engineering Tools, (1965), Systems Engineering Methods (1967), p. 70; Rest of first paragraph of Ch.3
Chandler commented: To illustrate more clearly these lines of authority, McCallum drew up a detailed chart-certainly one of the earliest organization charts in an American business enterprise. (p. 103)
Source: Report of the Superintendent of the New York and Erie Railroad to the Stockholders (1856), p. 40. Partly cited in: Chandler (1977, p. 102)
Interview with Orrin Pilkey & Linda Jarvis-Pilkey https://web.archive.org/web/20080105132439/http://www.columbia.edu/cu/cup/publicity/pilkeyinterview.html.
Useless Arithmetic: Why Environmental Scientists Can’t Predict the Future (2007)
Source: "Attribution theory in social psychology." 1967, p. 226; as cited in: Yaacov Trope, "Inferential processes in the forced compliance situation: A Bayesian analysis." Journal of Experimental Social Psychology 10.1 (1974): 1-16.
From Frédéric Louis Ritter's French Tr. Introduction à l'art Analytique (1868) utilizing Google translate with reference to English translation in Jacob Klein, Greek Mathematical Thought and the Origin of Algebra (1968) Appendix
In artem analyticem Isagoge (1591)
p, 125
Astronomical Observations relating to the Construction of the Heavens... (1811)
Defying the Tomb: Selected Prison Writings and Art of Kevin Rashid Johnson (2010)
p, 125
Geometrical Lectures (1735)
“Since, however, all multitude and magnitude are by their own nature of necessity infinite”
Nicomachus of Gerasa: Introduction to Arithmetic (1926)
Context: Things... are some of them continuous... which are properly and peculiarly called 'magnitudes'; others are discontinuous, in a side-by-side arrangement, and, as it were, in heaps, which are called 'multitudes,' a flock, for instance, a people, a heap, a chorus, and the like.
Wisdom, then, must be considered to be the knowledge of these two forms. Since, however, all multitude and magnitude are by their own nature of necessity infinite—for multitude starts from a definite root and never ceases increasing; and magnitude, when division beginning with a limited whole is carried on, cannot bring the dividing process to an end... and since sciences are always sciences of limited things, and never of infinites, it is accordingly evident that a science dealing with magnitude... or with multitude... could never be formulated.... A science, however, would arise to deal with something separated from each of them, with quantity, set off from multitude, and size, set off from magnitude.<!--pp.183-184
Source: Vestiges of the Natural History of Creation (1844), p. 24
Context: All, we see, is done by certain laws of matter, so that it becomes a question of extreme interest, what are such laws? All that can yet be said, in answer, is, that we see certain natural events proceeding in an invariable order under certain conditions, and thence infer the existence of some fundamental arrangement which, for the bringing about of these events, has a force and certainty of action similar to, but more precise and unerring than those arrangements which human society makes for its own benefit, and calls laws. It is remarkable of physical laws, that we see them operating on every kind of scale as to magnitude, with the same regularity and perseverance.
“Slavery is an evil of Colossal Magnitude.”
Letter http://founders.archives.gov/documents/Adams/99-02-02-7261 to William Tudor, Jr., 20 November 1819. Partially quoted in Founding Brothers : The Revolutionary Generation (2000) by Joseph J. Ellis, p. 240
1810s
Context: I Shall not pause to consider whether my Opinion will be popular or unpopular with the Slave Holders, or Slave Traders, in the Northern the Middle, the Southern, or the Western, States—I respect all those who are necessarily subjected to this Evil.—But Negro Slavery is an evil of Colossal Magnitude. … I am therefore utterly averse to the admission of Slavery into the Missouri Territory, and heartily wish that every Constitutional measure may be adopted for the preservation of it.
"Zion's Vital Signs" in The Atlantic (November 2001) http://www.theatlantic.com/past/docs/issues/2001/11/o_rourke.htm
A few Matters must be dispatched before I can return. Every Colony must be induced to institute a perfect Government. All the Colonies must confederate together, in some solemn Compact. The Colonies must be declared free and independent states, and Embassadors, must be Sent abroad to foreign Courts, to solicit their Acknowledgment of Us, as Sovereign States, and to form with them, at least with some of them commercial Treaties of Friendship and Alliance. When these Things shall be once well finished, or in a Way of being so, I shall think that I have answered the End of my Creation, and sing with Pleasure my Nunc Dimittes, or if it should be the Will of Heaven that I should live a little longer, return to my Farm and Family, ride Circuits, plead Law, or judge Causes, just as you please.
Letter to William Cushing http://www.masshist.org/publications/apde2/view?id=ADMS-06-04-02-0109 (9 June 1776).
1770s
Source: Sir William Herschel: His Life and Works (1880), Ch.4 "Life and Works" from a memoir, published (1817).
Context: It is evident that we cannot mean to affirm that the stars of the fifth, sixth, and seventh magnitudes are really smaller than those of the first, second, or third, and that we must ascribe the cause of the difference in the apparent magnitudes of the stars to a difference in their relative distances from us. On account of the great number of stars in each class, we must also allow that the stars of each succeeding magnitude, beginning with the first, are, one with another, further from us than those of the magnitude immediately preceding.
Atlas, on bearing the burden of maintaining the worlds, in Ch. 4
Space Chantey (1968)
Context: I tried to tell you, but words will not convey it. One has to be inside it to comprehend the magnitude. … It was the beginning. It's the only thing there is. But it was haphazard for so many aeons that it spooks me to think about it. There were always three or four maintaining it, but there was no one person strong enough to take it all over. "Somewhere there must be someone strong enough to take it all over," I said to myself in a direful moment, but the strongest person I could think of was myself. I've been doing it ever since. … By my attention I hold it all in being. Nothing exists unless it is perceived. If perception fails for a moment, then that thing fails forever. … I hate to be misjudged. They say that I bear it all on my shoulders, as though I were a stud or a balk. It's not on my great shoulders, it is amazing head on my great shoulders that maintains all.
“But simply through magnitude a body does not receive motion”
De Luce seu de Inchoatione Formarum (c. 1215-1220)
Context: One cause, in so far as it is one, is productive of only one effect. I do not rule out several efficient causes of which one is nearer and another more remote in the same order. Thus when I say simply 'animal', I do not exclude another substance or particular substance. Hence motion, in so far as it is one, is productive of only one effect. But motion is present in every body from an intrinsic principle which is called natural. Therefore an efficient cause simply proportional to the motion is present in all bodies. But nothing is present in common in every body except primitive matter and primitive form and magnitude, which necessarily follows from these two, and whatever is entailed by magnitude as such, as position and shape. But simply through magnitude a body does not receive motion, as is clear enough when Aristotle shows that everything that moves is divisible, not, therefore, simply because of magnitude or something entailed by magnitude is a body productive of motion. Nor is primitive matter productive of motion, because it is itself passive. It is therefore necessary that motion follow simply from the primitive form as from an efficient cause.
"A New Method of Obtaining Very Great Moving Powers at Small Cost" (1690)
Context: AA is a tube of uniform diameter throughout, close shut at the bottom; BB is a piston fitted to the tube; DD a handle fixed to the piston; EE an iron rod moveable round an axis in F; G a spring, pressing the cross rod EE, so that the said rod must be forced into the groove H as soon as the piston with the handle has arrived at such a height as that the said groove H appears above the lid II; L is a little hole in the piston, through which the air can escape from the bottom of the tube AA, when first the piston is forced into it. The use of this instrument is as follows: A small quantity of water is poured into the tube AA; to the depth of 3 or 4 lines; then the piston is inserted, and forced down to the bottom, till a portion of the water previously poured in comes through the hole L; then the said hole is closed by the rod MM. Next the lid II, pierced with the apertures requisite for that purpose, is put on, and a moderate fire being applied, the tube AA soon grows warm, (being made of thin metal), and the water within it, being turned into steam, exerts a pressure so powerful as to overcome the weight of the atmosphere and force up the piston BB, till the groove H of the handle DD appears above the lid II, and the rod EE is forced, with some noise, into the said groove by the spring G. Then forthwith the fire is to be removed, and the steam in the thin metal tube is soon resolved into water, and leaves the tube entirely void of air. Next, the rod EE being turned round so far as to come out of the groove H, and allow the handle DD to descend, the piston BB is forthwith pressed down by the whole weight of the atmosphere, and causes the intended movement, which is of an energy great in proportion to the size of the tube. Nor is it to be doubted that the whole weight of the atmosphere exerts its force in tubes so constructed; for I have established by experiment, that a piston, raised to the top of the tube by the force of heat, shortly afterwards descends again to the bottom, and so on alternately for a number of times, so that no suspicion can arise of air pressing beneath. Now my tube, the diameter of which does not exceed 2 ½ inches, yet raises sixty lbs. aloft with the same velocity as the piston is forced down into the tube, and the tube itself scarcely weighs five ounces. I therefore have little doubt but that tubes may be manufactured, the weight of each of which would scarcely amount to 40 lbs., and yet which could raise, at each operation, two thousand lbs. to a height of four feet.... If any one now will consider the magnitude of the forces to be obtained in this way, and the trifling expense at which a sufficient quantity of fuel can be procured, he will certainly admit that this my method is far preferable to the use of gunpowder above spoken of, especially as in this way a perfect vacuum is obtained, and so the inconveniences above recounted are avoided.
¶ 1
State Socialism and Anarchism: How Far They Agree, and Wherin They Differ (1888)
Context: Probably no agitation has ever attained the magnitude, either in the number of its recruits or the area of its influence, which has been attained by Modern Socialism, and at the same time been so little understood and so misunderstood, not only by the hostile and the indifferent, but by the friendly, and even by the great mass of its adherents themselves. This unfortunate and highly dangerous state of things is due partly to the fact that the human relationships which this movement — if anything so chaotic can be called a movement — aims to transform, involve no special class or classes, but literally all mankind; partly to the fact that these relationships are infinitely more varied and complex in their nature than those with which any special reform has ever been called upon to deal; and partly to the fact that the great moulding forces of society, the channels of information and enlightenment, are well-nigh exclusively under the control of those whose immediate pecuniary interests are antagonistic to the bottom claim of Socialism that labor should be put in possession of its own.
Book Three, Chapter XIX.
Democracy in America, Volume II (1840), Book Two
Context: The First thing that strikes a traveler in the United States is the innumerable multitude of those who seek to emerge from their original condition; and the second is the rarity of lofty ambition to be observed in the midst of the universally ambitious stir of society. No Americans are devoid of a yearning desire to rise, but hardly any appear to entertain hopes of great magnitude or to pursue very lofty aims. All are constantly seeking to acquire property, power, and reputation.
Book II, iv, 2
The Advancement of Learning (1605)
Context: The use of this feigned history hath been to give some shadow of satisfaction to the mind of man in those points wherein the nature of things doth deny it, the world being in proportion inferior to the soul; by reason whereof there is, agreeable to the spirit of man, a more ample greatness, a more exact goodness, and a more absolute variety, than can be found in the nature of things. Therefore, because the acts or events of true history have not that magnitude which satisfieth the mind of man, poesy feigneth acts and events greater and more heroical: because true history propoundeth the successes and issues of actions not so agreeable to the merits of virtue and vice, therefore poesy feigns them more just in retribution, and more according to revealed providence: because true history representeth actions and events more ordinary, and less interchanged, therefore poesy endueth them with more rareness, and more unexpected and alternative variations: so as it appeareth that poesy serveth and conferreth to magnanimity, morality, and to delectation. And therefore it was ever thought to have some participation of divineness, because it doth raise and erect the mind, by submitting the shows of things to the desires of the mind; whereas reason doth buckle and bow the mind into the nature of things.
Address on Taking Command of the Army of the Potomac (June 28, 1863); published in The Civil War: Great Speeches and Documents (2006)
Third Report, p. 195
U.S. Navy at War, 1941-1945: Official Reports to the Secretary of the Navy (1946)
Essay in This I Believe : 2 (1952) edited by Edward R. Murrow, p. 142
Disputed, Give me liberty, or give me death! (1775)
Proclamation (22 June 1941), quoted in The Times (23 June 1941), p. 3
1940s
Speech in Cambridge (1 May 1926) on the General Strike, quoted in The Times (3 May 1926), p. 9
Later life
Act I
Buchanan Dying (1974)
Quoted in Ethics Matters (2012) by Peter and Charlotte Vardy, p. 114 ISBN 978-0334043911
The Romance of Commerce (1918), A Representative Business of the Twentieth Century
Speech https://api.parliament.uk/historic-hansard/commons/1861/apr/15/first-night#column_595 in the House of Commons (15 April 1861)
1860s
Source: Thought Without a Body? (1994)
Perigrenations Law Form