Quotes about magnitude (203 quotes) | Quotes of famous people

“When all are guilty, no one is; confessions of collective guilt are the best possible safeguard against the discovery of culprits, and the very magnitude of the crime the best excuse for doing nothing.”

Hannah Arendt (1906–1975) Jewish-American political theorist

“Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.”

Archimedes book On the Equilibrium of Planes

Book 1, Propositions 6 & 7, The Law of the Lever.
On the Equilibrium of Planes

“The employment of mathematical symbols is perfectly natural when the relations between magnitudes are under discussion; and even if they are not rigorously necessary, it would hardly be reasonable to reject them, because they are not equally familiar to all readers and because they have sometimes been wrongly used, if they are able to facilitate the exposition of problems, to render it more concise, to open the way to more extended developments, and to avoid the digressions of vague argumentation.”

Antoine Augustin Cournot Researches into the Mathematical Principles of the Theory of Wealth

Source: Researches into the Mathematical Principles of the Theory of Wealth, 1897, pp. 3-4; Cited in: Moritz (1914, 199)

Way , Mathematics , Nature , Problem

“I love you, with a love so great that it simply couldn't keep growing inside my heart, but had to leap out and reveal itself in all its magnitude.”

Anne Frank (1929–1945) victim of the Holocaust and author of a diary

Source: The Diary of a Young Girl

Love , Heart

“Why, when all desire to have this controversy settled, can we not settle it satisfactorily? One reason is, we want it settled in different ways. Each faction has a different plan, they pull different ways, and neither has a decided majority. In my humble opinion, the importance and magnitude of the question is underrated, even by our wisest men. If I be right, the first thing is to get a just estimate of the evil — then we can provide a cure.”

Abraham Lincoln (1809–1865) 16th President of the United States

1860s, Speech at Hartford (1860)

Men , Way , Question , Evil

“The laws of thermodynamics, as empirically determined, express the approximate and probable behavior of systems of a great number of particles, or, more precisely, they express the laws of mechanics for such systems as they appear to beings who have not the fineness of perception to enable them to appreciate quantities of the order of magnitude of those which relate to single particles, and who cannot repeat their experiments often enough to obtain any but the most probable results.”

Josiah Willard Gibbs (1839–1903) physicist

From the preface to Elementary Principles in Statististical Mechanics (1902), p. viii. Full book https://archive.org/details/elementaryprinc00gibbgoog

Law , Behavior , Appearance

“My own principal interest lies in the sphere of industrial organization, which of all major forms of human organization is, in its present magnitude, the most modern. For this the reason is evident. The vast present-day units of industrial organization are products mainly of one creating factor, namely the technology of mass production, and this technology, born of the industrial revolution, has been almost exclusively an evolution of the last century. In contrast other major forms of human organization — the state, the church, the army — are as old as human history itself. Yet if we examine the structure of these forms of organization we shall find that, however diverse their purposes, the underlying principles of organization are ever the same.”

James D. Mooney (1884–1957) American businessman

Source: "The principles of organization", 1937, p. 90

History

“I can tell you that — and this is something I have told him — that this is a job of such magnitude that you can’t do it by yourself. You are enormously reliant on a team. Your Cabinet, your senior White House staff, all the way to fairly junior folks in their 20s and 30s but who are executing on significant responsibilities. And so, how you put a team together to make sure that they’re getting you the best information and they are teeing up the options from which you will ultimately make decisions. That’s probably the most useful constructive advice and the most constructive advice that I’ve been able to give him, that if you find yourself isolated because the process breaks down or if you’re only hearing from people who agree with you on everything or if you haven’t created a process that is fact-checking and probing and asking hard questions about policies or promises that you’ve made, that’s when you start making mistakes. And as I indicated in some of my previous remarks, reality has a way of biting back if you’re not paying attention to it.”

Barack Obama (1961) 44th President of the United States of America

On the job of the U.S. President and the need of good advisers and staff
2017, Final News Conference as President (January 2017)

People , Way , Question , Reality

“The truth is, that this question is one of national importance, and we cannot help dealing with it: we must do something about it, whether we will or not. We cannot avoid it; the subject is one we cannot avoid considering; we can no more avoid it than a man can live without eating. It is upon us; it attaches to the body politic as much and as closely as the natural wants attach to our natural bodies. Now I think it important that this matter should be taken up in earnest, and really settled. And one way to bring about a true settlement of the question is to understand its true magnitude.”

Abraham Lincoln (1809–1865) 16th President of the United States

1860s, Allow the humblest man an equal chance (1860)

Truth , Way , Understanding , Question

“The concept-systems of antithesis are concepts that are indeed thoroughly determined by negative predicates but are not positively representable.
Just because a precise and complete representation of these concept-systems is impossible, they are inaccessible to direct investigation and elaboration by our reflection. They may, however, be regarded as lying at the limit of the representable, i. e., we can form a concept-system lying within the representable, which passes over into the given system by simple change of magnitude ratio. By abstracting from the ratios of the quantities, the concept-system remains unchanged in case of transition to the limit. At the limit itself, however, some of the correlative concepts of the system lose their susceptibility of being represented, and those, indeed, that mediate the relation between other concepts.”

Bernhard Riemann (1826–1866) German mathematician

General Relation of the Concept System of Thesis and Antithesis
Gesammelte Mathematische Werke (1876)

Lying , Change

“Your wonderment 'what I have against religion' reminds me of your recent Vagrant essay… To my mind, that essay misses one point altogether. Your "agnostic" has neglected to mention the very crux of all agnosticism—namely that the Judaeo-Christian mythology is NOT TRUE. I can see that in your philosophy truth per se has so small a place, that you can scarcely realise what it is that Galpin and I are insisting upon. In your mind, MAN is the centre of everything, and his exact conformation to certain regulations of conduct HOWEVER EFFECTED, the only problem in the universe. Your world (if you will pardon my saying so) is contracted. All the mental vigour and erudition of the ages fail to disturb your complacent endorsement of empirical doctrines and purely pragmatical notions, because you voluntarily limit your horizon—excluding certain facts, and certain undeniable mental tendencies of mankind. In your eyes, man is torn between only two influences; the degrading instincts of the savage, and the temperate impulses of the philanthropist. To you, men have but two types of emotion—lovers of the self and lovers of the race…. You are forgetting a human impulse which, despite its restriction to a relatively small number of men, has all through history proved itself as real and as vital as hunger—as potent as thirst or greed. I need not say that I refer to that simplest yet most exalted attribute of our species—the acute, persistent, unquenchable craving TO KNOW. Do you realise that to many men it makes a vast and profound difference whether or not the things about them are as they appear?… If TRUTH amounts to nothing, then we must regard the phantasma of our slumbers just as seriously as the events of our daily lives…. I recognise a distinction between dream life and real life, between appearances and actualities. I confess to an over-powering desire to know whether I am asleep or awake—whether the environment and laws which affect me are external and permanent, or the transitory products of my own brain. I admit that I am very much interested in the relation I bear to the things about me—the time relation, the space relation, and the causative relation. I desire to know approximately what my life is in terms of history—human, terrestrial, solar, and cosmical; what my magnitude may be in terms of extension,—terrestrial, solar, and cosmical; and above all, what may be my manner of linkage to the general system—in what way, through what agency, and to what extent, the obvious guiding forces of creation act upon me and govern my existence. And if there be any less obvious forces, I desire to know them and their relation to me as well.”

H.P. Lovecraft (1890–1937) American author

Letter to Maurice W. Moe (15 May 1918), in Selected Letters I, 1911-1924 edited by August Derleth and Donald Wandrei, p. 60
Non-Fiction, Letters

Life , Men , Hunger , Truth

“The concept of rotation led to geometrical exponential magnitudes, to the analysis of angles and of trigonometric functions, etc. I was delighted how thorough the analysis thus formed and extended, not only the often very complex and unsymmetric formulae which are fundamental in tidal theory, but also the technique of development parallels the concept.”

Hermann Grassmann (1809–1877) German polymath, linguist and mathematician

Ausdehnungslehre (1844)

“Mathematics would certainly have not come into existence if one had known from the beginning that there was in nature no exactly straight line, no actual circle, no absolute magnitude.”

Friedrich Nietzsche (1844–1900) German philosopher, poet, composer, cultural critic, and classical philologist

As quoted in The Puzzle Instinct : The Meaning of Puzzles in Human Life‎ (2004) by Marcel Danesi, p. 71 from Human All-Too-Human

Mathematics , Nature

“The first impulse came from the consideration of negatives in geometry; I was accustomed to viewing the distances AB and BA as opposite magnitudes. Arising from this idea was the conclusion that if A, B, and C are points of a straight line, then in all cases AB + BC = AC, this being true whether AB and BC are directed in the same direction or in opposite directions (where C lies between A and B). In the latter case AB and BC were not viewed as merely lengths, but simultaneously their considered since they were oppositely directed, Thus dawned the distinction between the sum of lengths and the sum of distances which were fixed in direction. From this resulted the requirement for establishing this latter concept of sum, not simply for the case where the distances were directed in the same or opposite directions, but also for any other case. This could be done in the most simple manner, since the law that AB + BC = AC remains valid when A, B, and C do not lie on a straight line.
This then was the first step which led to a new branch of mathematics… I did not however realize how fruitful and how rich was the field that I had opened up; rather that result seemed scarcely worthy of note until it was combined with a related idea.”

Hermann Grassmann (1809–1877) German polymath, linguist and mathematician

Ausdehnungslehre (1844)

Lie , Law , Mathematics , Idea

“I define as a unit any magnitude that can serve for the numerical derivation of a series of magnitudes, and in particular I call such a unit an original unit if it is not derivable from another unit. The unit of numbers, that is one, I call the absolute unit, all others relative.”

Hermann Grassmann (1809–1877) German polymath, linguist and mathematician

Zero can never be a unit.
Definition 3. Part 1. The Elementary Conjunctions of Extensive Magnitudes. Ch. 1. Addition, Subtraction, Multiples and Fractions of Extensive Magnitudes. 1. Concepts and laws of calculation. Extension Theory Hermann Grassman, History of Mathematics (2000) Vol. 19 Tr. Lloyd C. Kannenberg, American Mathematical Society, London Mathematical Society
Ausdehnungslehre (1844)

“In mathematics there is a certain way of seeking the truth, a way which Plato is said first to have discovered and which was called "analysis" by Theon and was defined by him as "taking the thing sought as granted and proceeding by means of what follows to a truth which is uncontested"; so, on the other hand, "synthesis" is "taking the thing that is granted and proceeding by means of what follows to the conclusion and comprehension of the thing sought." And although the ancients set forth a twofold analysis, the zetetic and the poristic, to which Theon's definition particularly refers, it is nevertheless fitting that there be established also a third kind, which may be called rhetic or exegetic, so that there is a zetetic art by which is found the equation or proportion between the magnitude that is being sought and those that are given, a poristic art by which from the equation or proportion the truth of the theorem set up is investigated, and an exegetic art by which from the equation set up or the proportion, there is produced the magnitude itself which is being sought. And thus, the whole threefold analytic art, claiming for itself this office, may be defined as the science of right finding in mathematics…. the zetetic art does not employ its logic on numbers—which was the tediousness of the ancient analysts—but uses its logic through a logistic which in a new way has to do with species [of number]…”

François Viète (1540–1603) French mathematician

Source: In artem analyticem Isagoge (1591), Ch. 1 as quoted by Jacob Klein, Greek Mathematical Thought and the Origin of Algebra (1934-1936) Appendix.

Truth , Art , Way , Mathematics

“But let us not forget that human love and compassion are equally deeply rooted in our primate heritage, and in this sphere too our sensibilities are of a higher order of magnitude than those of chimpanzees.”

Jane Goodall (1934) British primatologist, ethologist, and anthropologist

Through a Window: My Thirty Years with the Chimpanzees of Gombe (2000), p. 215

Love , Forgetting

“While I was pursuing the concept of geometrical product, as this idea was established by my father… I concluded that not only rectangles, but also parallelograms, may be viewed as products of two adjacent sides, provided that the sides are viewed not merely as lengths, but rather as directed magnitudes. When I joined this concept of geometrical product with the previously established idea of geometrical sum the most striking harmony resulted. Thus when I multiplied the sum of two vectors by a third coplaner vector, the result coincided (and must always coincide) with the result obtained by multiplying separately each of the two original vectors by the third… and adding together (with due attention to positive and negative values) the two products. [Thus A(B + C) = AB + AC. ]
From this harmony I came to see a whole new area of analysis was opening up which could lead to important results.”

Hermann Grassmann (1809–1877) German polymath, linguist and mathematician

Ausdehnungslehre (1844)

Idea

“[B]ecause that which is finite is always bounded with reference to something… it is necessary that there should be no end… [N]umber also appears to be infinite, and mathematical magnitudes, and that which is beyond the heavens. And since that which is beyond is infinite, body also appears to be infinite, and it would seem that there are infinite worlds; for why is there rather void here than there? …If also there is a vacuum, and an infinite place, it is necessary that there should be an infinite body: for in things which have a perpetual subsistence, capacity differs nothing from being. The speculation of the infinite is, however, attended with doubt: for many impossibilities happen both to those who do not admit that it has a subsistence, and to those who do. …It is …especially the province of a natural philosopher to consider if there be a sensible infinite magnitude.”

Aristotle book Physics

Book III, Ch. V, p. 156.
Physics

World , Mathematics , Nature , Appearance

“Look at the magnitude of this subject!”

Abraham Lincoln (1809–1865) 16th President of the United States

1860s, Allow the humblest man an equal chance (1860)
Context: Look at the magnitude of this subject! One sixth of our population, in round numbers — not quite one sixth, and yet more than a seventh, — about one sixth of the whole population of the United States are slaves! The owners of these slaves consider them property. The effect upon the minds of the owners is that of property, and nothing else — it induces them to insist upon all that will favorably affect its value as property, to demand laws and institutions and a public policy that shall increase and secure its value, and make it durable, lasting and universal. The effect on the minds of the owners is to persuade them that there is no wrong in it. The slaveholder does not like to be considered a mean fellow, for holding that species of property, and hence he has to struggle within himself and sets about arguing himself into the belief that Slavery is right. The property influences his mind. [... ] Certain it is, that this two thousand million of dollars, invested in this species of property, all so concentrated that the mind can grasp it at once — this immense pecuniary interest, has its influence upon their minds.

“As regards the security of a country against foreign invasion, it is interesting to note that it depends only on the relative, and not the absolute, number of the individuals or magnitude of the forces, and that, if every country should reduce the war-force in the same ratio, the security would remain unaltered. An international agreement with the object of reducing to a minimum the war-force which, in view of the present still imperfect education of the masses, is absolutely indispensable, would, therefore, seem to be the first rational step to take toward diminishing the force retarding human movement.”

Nikola Tesla (1856–1943) Serbian American inventor

The Problem of Increasing Human Energy (1900)

Education , War , Dependency , Country

“I doubt you can understand the magnitude of the stupidity in your statement”

Robert Jordan The Wheel of Time

Source: The Gathering Storm

Stupidity , Understanding

“This is what one thirsts for, I realize, after the smallness of the day, of work, of details, of intimacy - even of communication, one thirsts for the magnitude and universality of a night full of stars, pouring into one like a fresh tide.”

Anne Morrow Lindbergh book Gift from the Sea

Source: Gift from the Sea

Star , Communication , Universe , Night

“Many… have learned that the magnitude of lives is not as to their external displacements, but as to their subjective experiences. The impressionable peasant leads a larger, fuller, more dramatic life than the pachydermatous king.”

Thomas Hardy (1840–1928) English novelist and poet

Source: Tess of the D'Urbervilles

Life , Learning

“The referee told me this league has never had a brawl of that magnitude," said Mr. Penderwick after a long, painful silence. "Of course, at the time I was pretending to be a casual passerby and not a father at all.”

Jeanne Birdsall (1951) American children's writer

Source: The Penderwicks on Gardam Street

Pain , Silence , Time

“How was it that Adrian Ivashkov, who never seemed to take anything seriously was the only one among these "responsible" people who paid attention to such small details? How was he the only one to really understand the magnitude of what I was feeling?”

Richelle Mead book The Golden Lily

Source: The Golden Lily

People , Feeling , Understanding

“We are each other's harvest; we are each other's business; we are each other's magnitude and bond.”

Gwendolyn Brooks (1917–2000) American writer

Paul Robeson
Context: That time
we all heard it,
cool and clear,
cutting across the hot grit of the day.
The major Voice.
The adult Voice
forgoing Rolling River,
forgoing tearful tale of bale and barge
and other symptoms of an old despond.
Warning, in music-words
devout and large,
that we are each other's
harvest:
we are each other's
business:
we are each other's
magnitude and bond.

Business

“For in the end, it is all about memory, its sources and its magnitude, and, of course, its consequences.”

Elie Wiesel book Night

Source: Night

Memory

“The union of these four Presidents carved on the face of the everlasting hills of South Dakota will constitute a distinctly national monument. It will be decidedly American in conception, in its magnitude, in its meaning and altogether worthy of our Country. No one can look upon it understandingly without realizing that it is a picture of hope fulfilled. Its location will be significant. Here in the heart of the continent, on the side of a mountain which probably no white man had ever beheld in the days of Washington, in territory which was acquired by the action of Jefferson, which remained an unbroken wilderness beyond the days of Lincoln, which was especially beloved by Roosevelt, the people of the future will see history and art combined to portray the spirit of patriotism. They will know that the figure of these Presidents has been placed here because by following the truth they built for eternity. The fundamental principles which they represented have been wrought into the very being of our Country. They are steadfast as these ancient hills.”

Calvin Coolidge (1872–1933) American politician, 30th president of the United States (in office from 1923 to 1929)

1920s, Address at the Black Hills (1927)

People , Truth , Hope , Art

“Why should we make account of time, or of magnitude, or of figure? The soul knows how to play with them as a young child plays with graybeards and in churches.”

Ralph Waldo Emerson (1803–1882) American philosopher, essayist, and poet

1840s, Essays: First Series (1841), History

Soul , Time

“We comprehend… that nuclear power is a real danger for mankind, that over-crowding of the planet is the greatest danger of all. We have understood that the destruction of the environment is another enormous danger. But I truly believe that the lack of adequate imagery is a danger of the same magnitude. It is as serious a defect as being without memory. What have we done to our images? What have we done to our embarrassed landscapes? I have said this before and will repeat it again as long as I am able to talk: if we do not develop adequate images we will die out like dinosaurs.”

Werner Herzog (1942) German film director, producer, screenwriter, actor and opera director

Herzog on Herzog (2002)

Memory

“I think as a kid I never really understood the magnitude of a hurricane and what it could do.”

Marshall Faulk (1973) All-American college football player, professional football player, running back, Pro Football Hall of Fame memb…

St. Louis Post Dispatch 2005-08-31.

Thinking

“God, the pure limit and pure beginning of all that we are, have, and do, standing over in infinite qualitative difference to man and all that is human, nowhere and never identical with that which we call God, experience, surmise, and pray to as God, the unconditioned Halt as opposed to all human rest, the Yes in our No and the No in our Yes, the first and last and as such unknown, but nowhere and never a magnitude amongst others in the medium known to us, God the Lord, the Creator and Redeemer... that is the living God.”

Karl Barth book The Epistle to the Romans

The Epistle to the Romans (1918; 1921)

God

“The mathematician may be compared to a designer of garments, who is utterly oblivious of the creatures whom his garments may fit. …The conic sections, invented in an attempt to solve the problem of doubling the alter of an oracle, ended by becoming the orbits followed by the planets… The imaginary magnitudes invented by Cardan and Bombelli describe… the characteristic features of alternating currents. The absolute differential calculus, which originated as a fantasy of Reimann, became the mathematical model for the theory of Relativity. And the matrices which were a complete abstraction in the days of Cayley and Sylvester appear admirably adapted to the… quantum of the atom.”

Tobias Dantzig (1884–1956) American mathematician

Number: The Language of Science (1930)

Mathematics , Problem , Appearance

“By 2050 Egypt’s population will increase from 90 million to 138 million. The population of Nigeria will increase from 186 million to 390 million. Uganda’s population will rise from 38 million to 93 million, and Ethiopia’s from 102 to 228 million. It is János Martonyi who usually warns us – and how right he is – that projecting current trends into the future requires caution, because in history there are always events which can change their course. But as we cannot prepare for unforeseeable events in the future, common sense tells us that we must project these figures into the future, and we must prepare for them. They clearly show that the real pressure on our continent will come from Africa. Today we are talking about Syria, today we are talking about Libya; but in fact we must prepare for the population pressure coming from the region beyond Libya – and its magnitude will be far greater than anything we have experienced so far. This warns us that we must be steely in our determination. Border protection – particularly when we need to build a fence and detain people – is something which is difficult to justify in aesthetic terms, but believe me, you cannot protect the borders – and thus ourselves – with flowers and cuddly toys. We must face this fact.”

Viktor Orbán (1963) Hungarian politician, chairman of Fidesz

Tusnádfürdő speech http://www.kormany.hu/en/the-prime-minister/the-prime-minister-s-speeches/viktor-orban-s-presentation-at-the-27h-balvanyos-summer-open-university-and-student-camp, 26 July 2016

People , History , Flowers , Sense

“A standard of reference for the arrangement of the stars may be had by comparing their distribution to a certain properly modified equality of scattering. The equality which I propose does not require that the stars should be at equal distances from each other, nor is it necessary that all those of the same nominal magnitude should be equally distant from us.”

William Herschel (1738–1822) German-born British astronomer, technical expert, and composer

Source: Sir William Herschel: His Life and Works (1880), Ch.4 "Life and Works" from a memoir, published (1817).

Star , Distant

“there is an irrepressible tendency in every man to develop himself according to the magnitude which Nature has made him of; to speak out, to act out, what nature has laid in him. This is proper, fit, inevitable; nay it is a duty, and even the summary of duties for a man. The meaning of life here on earth might be defined as consisting in this: To unfold your self, to work what thing you have the faculty for.”

Thomas Carlyle (1795–1881) Scottish philosopher, satirical writer, essayist, historian and teacher

1840s, Heroes and Hero-Worship (1840), The Hero As King

Life , Nature

“The crowd of ragged Confederates on the White House lawn had doubled and more since he went in to confer with Lincoln. The trees were full of men who had climbed up so they could see over their comrades. Off in the distance, cannon occasionally still thundered; rifles popped like firecrackers. Lee quietly said to Lincoln, "Will you send out your sentries under flag of truce to bring word of the armistice to those Federal positions still firing upon my men?" "I'll see to it," Lincoln promised. He pointed to the soldiers in gray, who had quieted expectantly when Lee came out. "Looks like you've given me sentries enough, even if their coats are the wrong color." Few men could have joked so with their cause in ruins around them. Respecting the Federal President for his composure, Lee raised his voice: "Soldiers of the Army of Northern Virginia, after three years of arduous service, we have achieved that for which we took up arms-" He got no further. With one voice, the men before him screamed out their joy and relief. The unending waves of noise beat at him like a surf from a stormy sea. Battered forage caps and slouch hats flew through the air. Soldiers jumped up and down, pounded on one another's shoulders, danced in clumsy rings, kissed each other's bearded, filthy faces. Lee felt his own eyes grow moist. At last the magnitude of what he had won began to sink in.”

Harry Turtledove book The Guns of the South

Source: The Guns of the South (1992), p. 180

Men , Color , Kiss , Tree

“Thou liar of the first magnitude.”

William Congreve Love for Love

Act II, scene ii
Love for Love (1695)
Variant: Ferdinand Mendez Pinto was but a type of thee, thou liar of the first magnitude.

“As professor in the Polytechnic School [autumn of 1858] in Zurich I found myself for the first time obliged to lecture upon the elements of the differential calculus and felt, more keenly than ever before, the lack of a really scientific foundation for arithmetic. In discussing the notion of the approach of a variable magnitude to a fixed limiting value, and especially in proving the theorem that every magnitude which grows continually, but not beyond all limits, must certainly approach a limiting value, I had recourse to geometric evidences. Even now such resort to geometric intuition in a first presentation of the differential calculus, I regard as exceedingly useful, from the didactic standpoint, and indeed indispensable, if one does not wish to lose too much time. But that this form of introduction into the differential calculus can make no claim to being scientific, no one will deny. For myself this feeling of dissatisfaction was so overpowering that I made the fixed resolve to keep meditating on the question till I should find a purely arithmetic and perfectly rigorous foundation for the principles of infinitesimal analysis.”

Richard Dedekind (1831–1916) German mathematician

p, 125
Stetigkeit und irrationale Zahlen (1872)

School , Feeling , Question , Autumn

“We are lucky that a crisis of this magnitude only comes around once every 80 years.”

José Luis Rodríguez Zapatero (1960) Former Prime Minister of Spain

In an interview with Spanish national television.
As President, 2008
Source: Zapatero evita respaldar a De la Vega y asume que habrá crisis de Gobierno http://www.elconfidencial.com/espana/zapatero-de-la-vega-crisis-gobierno-tve-20100309.html

“Many of the greatest masters of the mathematical sciences were first attracted to mathematical inquiry by problems relating to numbers, and no one can glance at the periodicals of the present day which contain questions for solution without noticing how singular a charm such problems still continue to exert. The interest in numbers seems implanted in the human mind, and it is a pity that it should not have freer scope in this country. The methods of the theory of numbers 271 are peculiar to itself, and are not readily acquired by a student whose mind has for years been familiarized with the very different treatment which is appropriate to the theory of continuous magnitude; it is therefore extremely desirable that some portion of the theory should be included in the ordinary course of mathematical instruction at our University. From the moment that Gauss, in his wonderful treatise of 1801, laid down the true lines of the theory, it entered upon a new day, and no one is likely to be able to do useful work in any part of the subject who is unacquainted with the principles and conceptions with which he endowed it.”

James Whitbread Lee Glaisher (1848–1928) English mathematician and astronomer

Source: "Presidential Address British Association for the Advancement of Science," 1890, p. 467 : On the theory of numbers

Mathematics , Question , Problem , Universe

“War is pillage versus resistance and if illusions of magnitude could be transmuted into ideals of magnanimity, peace might be realized.”

Marianne Moore (1887–1972) American poet and writer

"Comment" in The Dial, No. 86 (April 1929)

War , Peace

“We are in the presence of a disaster of the first magnitude which has befallen Great Britain and France. Do not let us blind ourselves to that. It must now be accepted that all the countries of Central and Eastern Europe will make the best terms they can with the triumphant Nazi Power. The system of alliances in Central Europe upon which France has relied for her safety has been swept away, and I can see no means by which it can be reconstituted. … If the Nazi dictator should choose to look westward, as he may, bitterly will France and England regret the loss of that fine army of ancient Bohemia which was estimated last week to require not fewer than 30 German divisions for its destruction.”

Winston S. Churchill (1874–1965) Prime Minister of the United Kingdom

Speech https://api.parliament.uk/historic-hansard/commons/1938/oct/05/policy-of-his-majestys-government#column_368 in the House of Commons (5 October 1938) against the Munich Agreement
The 1930s

Loss , Country

“The ultimate "causes of price" - to use a Classical term - lie deeply embedded in the psychology and techniques of mankind and his environment, and are as manifold as the sands of the sea. All economic analysis is an attempt to classify these manifold causes, to sort them out into categories of discourse that our limited minds can handle, and so to perceive the unity of structural relationship which both unites and separates the manifoldness. Our concepts of "" and "supply" are such broad categories. In whatever sense they are used, they are not ultimate determinants of anything, but they are convenient channels through which we can classify and describe the effects of the multitude of determinants of the system of economic magnitude.”

Kenneth E. Boulding (1910–1993) British-American economist

Kenneth Boulding (1944) " A Liquidity Preference Theory of Market Prices http://cas.umkc.edu/econ/economics/faculty/wray/631Wray/Week%207/Boulding.pdf". In: Economica, New Series, Vol. 11, No. 42 (May, 1944), pp. 55-63.
C. Brown (2003) " Toward a reconcilement of endogenous money and liquidity preference http://www.clt.astate.edu/crbrown/brownjpke.pdf" in: Journal of Post Keynesian Economics. Winter 2003–4, Vol. 26, No. 2. 323 commented on this article, saying: "Boulding (1944) argued that if liquidity preference were divorced from the "demand for money," the former could come into its own as a theory of financial asset pricing. According to this view, rising liquidity preference or a "wave of bearish sentiment" is manifest in a shift from certain asset categories, specifically, those that are characterized by high capital uncertainty (that is, uncertainty about the future value of the asset as a result of market revaluation) to assets such as commercial paper or giltedged securities."
1940s

Lie , Sense , Sea

“Leibniz foreshadowed the entire doctrine of the unconscious, but Herbart actually began it. Wundt was to appeal first to unconscious inference in order to explain perception, and then to apperception. Fechner was to take from Herbart the notion of the measurement of the magnitude…”

Edwin Boring (1886–1968) American psychologist

Source: A History of Experimental Psychology, 1929, p. 246 (p. 257 in 1950 edition)

“[P]ain is a marvelous purifier... It is not necessary to beat the child into submission; a little bit of pain goes a long way for a young child. However, the spanking should be of sufficient magnitude to cause the child to cry genuinely.”

James Dobson (1936) Evangelical Christian psychologist, author, and radio broadcaster.

From Dare to Discipline, pages 6 and 7
1970s

Pain , Way , Cry

“This is not a Budget, but a revolution; a social and political revolution of the first magnitude.”

Archibald Primrose, 5th Earl of Rosebery (1847–1929) British politician

Letter to the The Times attacking the "People's Budget" (22 June 1909), p. 8.

“As you can see this is a composition of vertical and horizontal lines which will (in an abstract manner) have to express the idea of rising upwards, of magnitude. This is the same idea which used, for example, to be the guiding principle in the construction of cathedrals. Since only the manner of expression and not the representation has to express this general idea, I have not given any title. An abstract human mind will, of itself, receive the intended impression. I always confine myself to expressing the general.”

Piet Mondrian (1872–1944) Peintre Néerlandais

Quote in Mondrian's letter to Theo van Doesburg, Amsterdam, 1915; as cited in Letters of the great artists, Richard Friedenthal, Thames and Hudson, London, 1963, p. 234 (transl. Daphne Woodward)
1910's

Idea

“Most effects in psychology are relatively unimportant. That is, most variables, considered in isolation, have relatively little impact on behavior. This doesn't mean… that we should all abandon psychology and become plumbers instead. The small magnitude of most effects in psychology is itself a discovery of psychology. One might argue, in fact, that it is one of the great metadiscoveries of the field. Most variables have little impact, and thus most of the phenomena studied by psychologists are products of a multiplicity of variables.”

Steve Stewart-Williams (1971)

Source: The Ape that Kicked the Hornet's Nest (2013), p. 251

Behavior , Study

“At the same time, as Hayek maintained elsewhere, the facts of the social sciences do not lend themselves to the same degree of prediction, or explanation, as the facts of the natural sciences—it is for this reason that there are degrees of prediction or explanation. Prediction may be expressed numerically, moreover, “not as a unique value or magnitude but as a range,” narrow in the natural sciences and potentially very broad in the social sciences. In the social sciences, Hayek modified the conception of a numerical range to a “range of phenomena to expect.””

Alan O. Ebenstein (1959) American political scientist, educator and author

This was his concept of pattern prediction, or explanation of the principle, broad, general predictions.
Hayek's Journey: The Mind of Friedrich Hayek (2003)

Nature , Science , Time

“It is known that the mathematics prescribed for the high school [Gymnasien] is essentially Euclidean, while it is modern mathematics, the theory of functions and the infinitesimal calculus, which has secured for us an insight into the mechanism and laws of nature. Euclidean mathematics is indeed, a prerequisite for the theory of functions, but just as one, though he has learned the inflections of Latin nouns and verbs, will not thereby be enabled to read a Latin author much less to appreciate the beauties of a Horace, so Euclidean mathematics, that is the mathematics of the high school, is unable to unlock nature and her laws. Euclidean mathematics assumes the completeness and invariability of mathematical forms; these forms it describes with appropriate accuracy and enumerates their inherent and related properties with perfect clearness, order, and completeness, that is, Euclidean mathematics operates on forms after the manner that anatomy operates on the dead body and its members.
On the other hand, the mathematics of variable magnitudes—function theory or analysis—considers mathematical forms in their genesis. By writing the equation of the parabola, we express its law of generation, the law according to which the variable point moves. The path, produced before the eyes of the 113 student by a point moving in accordance to this law, is the parabola.
If, then, Euclidean mathematics treats space and number forms after the manner in which anatomy treats the dead body, modern mathematics deals, as it were, with the living body, with growing and changing forms, and thus furnishes an insight, not only into nature as she is and appears, but also into nature as she generates and creates,—reveals her transition steps and in so doing creates a mind for and understanding of the laws of becoming. Thus modern mathematics bears the same relation to Euclidean mathematics that physiology or biology … bears to anatomy. But it is exactly in this respect that our view of nature is so far above that of the ancients; that we no longer look on nature as a quiescent complete whole, which compels admiration by its sublimity and wealth of forms, but that we conceive of her as a vigorous growing organism, unfolding according to definite, as delicate as far-reaching, laws; that we are able to lay hold of the permanent amidst the transitory, of law amidst fleeting phenomena, and to be able to give these their simplest and truest expression through the mathematical formulas”

Christian Heinrich von Dillmann (1829–1899) German educationist

Source: Die Mathematik die Fackelträgerin einer neuen Zeit (Stuttgart, 1889), p. 37.

School , Law , Beauty , Mathematics

“We speak glibly of conservation education, but what do we mean by it? If we mean indoctrination, then let us be reminded that it is just as easy to indoctrinate with fallacies as with facts. If we mean to teach the capacity for independent judgement, then I am appalled by the magnitude of the task.”

Aldo Leopold (1887–1948) American writer and scientist

"The Ecological Conscience" [1947]; Published in The River of the Mother of God and Other Essays by Aldo Leopold, Susan L. Flader and J. Baird Callicott (eds.) 1991, p. 343.
1940s

Education

“The most wretched of all current trends is of course the mass extinction of organisms, which has been escalating for decades and is still increasing in magnitude.”

Pentti Linkola (1932) Finnish ecologist

Can Life Prevail?: A Revolutionary Approach to the Environmental Crisis. page 183

“We must not underrate our adversary; the U. S. soldier has technical capacity and is backed by weapons and resources of such magnitude that render him frightful. He lacks the essential ideological motivation which his bitterest enemies of today — the Vietnamese soldiers — have in the highest degree. We will only be able to overcome that army by undermining their morale — and this is accomplished by defeating it and causing it repeated sufferings.”

Ernesto Che Guevara (1928–1967) Argentine Marxist revolutionary

Message to the Tricontinental (1967)

Motivation , Suffering

“I have now reached a stage in the argument where I have to choose between being too definite or being too vague. If I set forth a concrete proposal in all its particulars, I expose myself to a hundred criticisms on points not essential to the principle of the plan. If I go further in the use of figures for illustration, I am involved more and more in guess-work; and I run the risk of getting the reader bogged in details which may be inaccurate and could certainly be amended without injury to the main fabric. Yet if I restrict myself to generalities, I do not give the reader enough to bite on; and am in fact shirking the issue, since the size, the order of magnitude, of the factors involved is not an irrelevant detail.”

John Maynard Keynes (1883–1946) British economist

Source: How to Pay for the War (1940), Ch. 5 : A Plan for Deferred Pay, Family, Allowances and a Cheap Ration

“Today 'nationalism' is out of fashion among the opinion-formers. Thanks to a superficial misreading of history, it is accused of having been responsible for two world wars and has widely come to be regarded as a political sin of the first magnitude, fortunately found only in such antiquated and obsolete figures as General de Gaulle. In fact the real danger comes from ideologies not nationalism; for while a nation may properly respect the nationhood of others, an ideology knows no frontiers…Once [the Tories] lose their claim to be, in the fullest sense, the 'national party', they are left, as they are in danger of being left today, either as the party of the 'individual' – a noble but to most people an austere and forbidding creed – or else as the party of the middle classes, which condemns them to a permanent minority.”

Nigel Lawson (1932) British Conservative politician and journalist

'A Tract for the Tories', The Spectator (1967), quoted in The View from No. 11: Memoirs of a Tory Radical (London: Bantam, 1992), p. 8.

War , People , World , History

“Disclosures about the magnitude of covert State surveillance and well-known examples of intimidation of human rights defenders shock the conscience and require public discussion and corrective action in each country and by the international community. In a democratic society, it is crucial for citizens to know whether their Governments are acting constitutionally or are engaged in policies that violate international law and human rights. It is their civic duty to protest against Government secrecy and cover-ups, the chilling effect of disproportionate surveillance, acts of intimidation and harassment, arbitrary arrests and defamation of human rights defenders, including whistleblowers, as unpatriotic or even traitors, when in fact they may be the most effective defenders of the rule of law. These acts of surveillance and intimidation are hallmarks of totalitarianism, not of democratic governance.”

Alfred de Zayas (1947) American United Nations official

United Nations General Assembly - Promotion of a democratic and equitable international order http://www.ohchr.org/Documents/Issues/IntOrder/A-68-284_en.pdf.
2013

Law , Communication , Country

“Pure mathematics proves itself a royal science both through its content and form, which contains within itself the cause of its being and its methods of proof. For in complete independence mathematics creates for itself the object of which it treats, its magnitudes and laws, its formulas and symbols.”

Christian Heinrich von Dillmann (1829–1899) German educationist

Source: Die Mathematik die Fackelträgerin einer neuen Zeit (Stuttgart, 1889), p. 94.

Law , Mathematics , Science

“No plea about inadequacy of our understanding of the decision-making processes can excuse us from estimating decision making criteria. To omit a decision point is to deny its presence – a mistake of far greater magnitude than any errors in our best estimate of the process.”

Jay Wright Forrester (1918–2016) American operations researcher

Forester (2000) "Perspectives on the modelling process" in: Modeling for Learning Organizations. John Douglas William Morecroft, ‎John Sterman eds. 2000. p. 66

Error , Understanding , Decision

“When alone he secretly shook his head. But suddenly he recalled the analysis made by the Party secretary regarding "two kinds of social system, two attitudes, and therefore two different results." He felt as if he had seen a ray of light in the darkness. He said to himself, "Lao Chiu can endure pain of such magnitude, and in spite of his burns he is always thinking of going back to the furnace. He wants to live. Why should he not be able to live?" That moment, suddenly the doctor and the patient were drawn closely together. From then on, the doctor thought of the patient often and also tried to compare himself with Lao Chiu. The more he compared the more he felt ashamed of himself and the more eager he was to do his best for this worker. So, from the very first day the assistant surgeon learned something from his patient.”

Ba Jin (1904–2005) Chinese novelist

A Battle For Life (July 1958)

Pain , Thinking , Light , Learning

“Given the goals of rogue states and terrorists, the United States can no longer solely rely on a reactive posture as we have in the past. The inability to deter a potential attacker, the immediacy of today’s threats, and the magnitude of potential harm that could be caused by our adversaries’ choice of weapons, do not permit that option. We cannot let our enemies strike first.”

George W. Bush (1946) 43rd President of the United States

From the document “ The National Security Strategy of the United States of America http://georgewbush-whitehouse.archives.gov/nsc/nss5.html,” (June 1, 2002)
2000s, 2002

Past

“As we grow in our understanding of knowledge of Him in heaven, our worship will surely increase in magnitude.”

Paul P. Enns (1937) American theologian

Source: Heaven Revealed (Moody, 2011), p. 180

Understanding , Knowledge

“We measure the earth, sun, stars, and ocean depths. We burrow into the depths of the earth for gold. We search for rivers and mountains on the moon. We discover new stars and know their magnitudes. We sound the depths of gorges and build clever machines. Each day brings a new invention. What don’t we think of! What can’t we do! But there is something else, the most important thing of all, that we are missing. We do not know exactly what it is. We are like a small child who knows he does not feel well but cannot explain why. We are uneasy, because we know a lot of superfluous facts; but we do not know what is really important—ourselves.”

Leo Tolstoy (1828–1910) Russian writer

Source: Path of Life (1909), p. 10

Feeling , Search , Mountain , Star

“The magnitude of the business of this road, its numerous and important connections, and. the large number of employés engaged in operating it, have led many, whose opinions are entitled to respect, to the conclusion, that a proper regard to details, which enter so largely into the elements of success in the management of all railroads, cannot possibly be attained by any plan that contemplates its organization as a whole; and in proof of this position, the experience of shorter roads is referred to, the business operations of which have been conducted much more economically.
Theoretically, other things being equal, a long road should be operated for a less cost per mile than a short one. This position is so clearly evident and so generally admitted, that its truth may be assumed without offering any arguments in support of it; and, notwithstanding the reverse, so far as practical results are considered, has generally been the case, we must look to other causes than the mere difference in length of roads for a solution of the difficulty.”

Daniel McCallum (1815–1878) Canadian engineer and early organizational theorist

Source: Report of the Superintendent of the New York and Erie Railroad to the Stockholders (1856), p. 33-34: First two paragraphs

Truth , Business , Support , Success

“Magnitude-notions are only possible where there is an antecedent general notion which admits of different specialisations. According as there exists among these specialisations a continuous path from one to another or not, they form a continuous or discrete manifoldness; the individual specialisations are called in the first case points, in the second case elements, of the manifoldness.”

Bernhard Riemann (1826–1866) German mathematician

On the Hypotheses which lie at the Bases of Geometry (1873)

““Are you coming?” he said.
“In a moment.”
“It’s now or never.”
Maybe it would be never, then. She was so transfixed by the formidable power being unleashed in front of her, she couldn’t avert her astonished gaze. It fascinated her that strength of this magnitude should be turned to the sordid business of atrocity; something was wrong with a reality that made that possible, and offered no cure for it, nor hope of cure.”

Clive Barker (1952) author, film director and visual artist

Part Thirteen “Magic Night”, Chapter iv “Symmetry”, Section 2 (p. 569)
(1987), BOOK THREE: OUT OF THE EMPTY QUARTER

Hope , Business , Reality

“The magnitude of the service which you rendered to your country and to humanity is beyond estimation. Sharp outlines here and there we know, but the whole account of the World War would be on a scale so stupendous that it could never be recorded. In the victory which was finally gained by you and your foreign comrades, you represented on the battle field the united efforts of our whole people. You were there as the result of a great resurgence of the old American spirit, which manifested itself in a thousand ways, by the pouring out of vast sums of money in credits and charities, by the organization and quickening of every hand in our extended industries, by the expansion of agriculture until it met the demands of famishing continents, by the manufacture of an unending stream of munitions and supplies, by the creation of vast fleets of war and transport ships, and, finally, when the tide of battle was turning against our associates, by bringing into action a great armed force on sea and land of a character that the world had never seen before, which, when it finally took its place in the line, never ceased to advance, carrying the cause of liberty to a triumphant conclusion. You reaffirmed the position of this Nation in the estimation of mankind. You saved civilization from a gigantic reverse. Nobody says now that Americans can not fight.”

Calvin Coolidge (1872–1933) American politician, 30th president of the United States (in office from 1923 to 1929)

1920s, Toleration and Liberalism (1925)

Money , War , People , World

“You know, we live in a country where if you want to go bomb somebody, there's remarkably little discussion about how much it might cost, even though the costs almost inevitably end up being orders of magnitude larger than anybody projected at the outcome.”

Andrew Bacevich (1947) United States Army officer

Conversation with Bill Moyers, 2014 June 20.

Country

“We are members of the most destructive culture ever to exist. Our assault on the natural world, on indigenous and other cultures, on women, on children, on all of us through the possibility of nuclear suicide and other means--all these are unprecedented in their magnitude and ferocity.”

Derrick Jensen (1960) American environmentalist

Listening to the Land

Women , Children , World , Nature

“You--i. e. the US--didn't wreck Iraq a fraction as much as we--i. e. Iraqis--did. The looting for instance destroyed orders of magnitude more infrastructure than the war ever did.”

Kanan Makiya (1949) American orientalist

"Kanan Makiya speaks about Iraq 5 years later...", Washington Post (March 20, 2008)

War

“…nor have I found occasion to depart from the plan… the rejection of the whole doctrine of series in the establishment of the fundamental parts both of the Differential and Integral Calculus. The method of Lagrange… had taken deep root in elementary works; it was the sacrifice of the clear and indubitable principle of limits to a phantom, the idea that an algebra without limits was purer than one in which that notion was introduced. But, independently of the idea of limits being absolutely necessary even to the proper conception of a convergent series, it must have been obvious enough to Lagrange himself, that all application of the science to concrete magnitude, even in his own system, required the theory of limits.”

Augustus De Morgan (1806–1871) British mathematician, philosopher and university teacher (1806-1871)

The Differential and Integral Calculus (1836)

Idea , Science , Parting

“Those who hold that it is no matter what happens after them, hold a wicked and inhuman doctrine… When we feel in our hearts this indifference to the fleeting, and this warm regard for the permanent, let us believe that God has implanted the instinct for a wise purpose; and then follow it as a heavenly guide. It is manifestly intended to turn us from the labors of the day — from the things which perish when the hand which formed ceases to uphold them — to tile things and objects which endure through indefinite ages — renewing, I should rather say augmenting their magnitude and their benificent fruits with every successive generation.”

Daniel Drake (1785–1852) American physician and writer

Daniel Drake and his followers : historical and biographical sketches, 1785-1909 https://archive.org/stream/easttennesseerec00rams/easttennesseerec00rams_djvu.txt (c1909), p. 96

God , Age , Feeling , Success

“And now, Mr. President, instead of speaking of the possibility or utility of secession, instead of dwelling in these caverns of darkness, instead of groping with those ideas so full of all that is horrid and horrible, let us come out into the light of day; let us enjoy the fresh airs of Liberty and Union; let us cherish those hopes which belong to us; let us devote ourselves to those great objects that are fit for our consideration and our action; let us raise our conceptions to the magnitude and the importance of the duties that devolve upon us; let our comprehension be as broad as the country for which we act, our aspirations as high as its certain destiny; let us not be pygmies in a case that calls for men. Never did there devolve on any generation of men higher trusts than now devolve upon us for the preservation of this constitution, and the harmony and peace of all who are destined to live under it. Let us make our generation one of the strongest and the brightest links in that golden chain which is destined, I fondly believe, to grapple the people of all the states to this constitution, for ages to come.”

Daniel Webster (1782–1852) Leading American senator and statesman. January 18, 1782 – October 24, 1852. Served as the Secretary of Sta…

Speech to the Senate In reference to the Slavery Compromise (7 March 1850)

Men , People , Age , Peace

“I have lately spent some Thoughts relative to the Nature of Light, whether it be subject to the common Laws of Motion. In this particular Newton seems to contradict himself. For in his Principia Sect. 14th he applies the common Laws of Motion to account for Reflection and Refraction, as he does also in one Part of his Optics where he proves the Sine of Incid. to Sine Refr, in a given in a given Ratio. But in another Part he says, “nothing more is requisite for producing all the Variety of Colours and Degrees of Refrangibility than that the Rays of Light be Bodies of different Sizes, the least of which may make Violet, and the Greatest the Red"; this manifestly is not consistent with the Theory of Motion applied to Bodies, where the Magnitude of the Bodies is of no Consequence. Now it is evident that if the common Theory of Motion can be applied to Light, the Red Light must have had the greatest Velocity before Incidence, as it suffers the least Deviation, for if the Vels of all the Difft colour'd Light were equal before Incidence, they must by Newton's Principia Sect. Sect. 8. Prop. 1. have continued equal after, and therefore must have suffered the same Deviation. The Determination of this Point seems to be of considerable Importance, as we so often apply the Theory of Motion to Light.”

Samuel Vince (1749–1821) British mathematician, astronomer and physicist

As quoted in: Russell McCormmach (2011) Weighing the World: The Reverend John Michell of Thornhill. p. 193

Law , Nature , Light , Suffering

“The question of whether a computer is playing chess, or doing long division, or translating Chinese, is like the question of whether robots can murder or airplanes can fly -- or people; after all, the "flight" of the Olympic long jump champion is only an order of magnitude short of that of the chicken champion (so I'm told). These are questions of decision, not fact; decision as to whether to adopt a certain metaphoric extension of common usage.”

Noam Chomsky (1928) american linguist, philosopher and activist

Powers and Prospects, 1996 https://chomsky.info/prospects01/.
Quotes 1990s, 1995-1999

People , Question , Decision , Flying

“By contrast, Galileo, the other legendary scientific figure of the era, not only published the most compelling critique of Aristotelian scholasticism in his Dialogues on the Two Chief World Systems, but in the process turned the issue of the epistemic authority of theology versus the epistemic authority of empirical science into a hallmark of modern times. Although Newton clearly sympathized with Galileo, he wrote virtually nothing critical of the Aristotelian tradition in philosophy, and the immense effort he devoted to theology was aimed not at challenging its epistemic authority, but largely at putting it on a firmer footing. Newton made no direct contributions to philosophy of a similar magnitude. Indeed, from his extant writings alone Newton has more claim to being a major theologian than a major philosopher.”

I. Bernard Cohen (1914–2003) American historian of science

Source: The Cambridge Companion to Newton, 2002, p. 1

World , Effort , Science , Time

“Machinery of a very beautiful kind has been contrived for copying accurately, on a reduced or an enlarged scale, both medals and statues. The Venus de Medici itself could not be justly excluded from a purely industrial exhibition, if, placed in the centre of a series diminishing on the one side to a statuette of a foot high, and increasing on the other to a figure double her own height. Such a series, though fairly introduced as an illustration of industrial art, would, indeed, itself be highly interesting to the fine arts, as exhibiting the effect of change of magnitude, when the proportions remain identical.”

Charles Babbage (1791–1871) mathematician, philosopher, inventor and mechanical engineer who originated the concept of a programmable c…

Source: The Exposition of 1851: Views Of The Industry, The Science, and the Government Of England, 1851, p. 52-53

Beauty , Art , Change

“We have been constantly besought to engage in competitive armaments. Frequent reports will reach us of the magnitude of the military equipment of other, nations. We shall do well to be little impressed by such reports or such actions. Any nation undertaking to maintain a military establishment with aggressive and imperialistic designs will find itself severely handicapped in the economic development of the world. I believe thoroughly in the Army and Navy, in adequate defense and preparation. But I am opposed to any policy of competition in building and maintaining land or sea armaments.”

Calvin Coolidge (1872–1933) American politician, 30th president of the United States (in office from 1923 to 1929)

1920s, Second State of the Union Address (1924)

World , Sea

“Freebooter, n. A conqueror in a small way of business, whose annexations lack of the sanctifying merit of magnitude.”

Ambrose Bierce book The Devil's Dictionary

The Devil's Dictionary (1911)

Way , Business

“If there really was one true god, it should be a singular composite of every religion’s gods, an uber-galactic super-genius, and the ultimate entity of the entire cosmos. If a being of that magnitude ever wrote a book, then there would only be one such document; one book of God. It would be dominant everywhere in the world with no predecessors or parallels or alternatives in any language, because mere human authors couldn’t possibly compete with it. And you wouldn’t need faith to believe it, because it would be consistent with all evidence and demonstrably true, revealing profound morality and wisdom far beyond contemporary human capacity. It would invariably inspire a unity of common belief for every reader. If God wrote it, we could expect no less. But what we see instead is the very opposite of that. Instead of only one religion leading to one ultimate truth, we have many different religions with no common origin, all constantly sharding into ever more deeply-divided denominations, seeking conflicting truths, and each somehow claiming divine guidance despite their ongoing divergence in every direction.”

Aron Ra (1962) Aron Ra is an atheist activist and the host of the Ra-Men Podcast

"2nd Foundational Falsehood of Creationism" https://www.youtube.com/watch?v=ZFrkjEgUDZA&list=PL126AFB53A6F002CC&index=2, Youtube (November 24, 2007)
Youtube, Foundational Falsehoods of Creationism

Wisdom , God , Truth , Books

“In order to see the difference which exists between… studies,—for instance, history and geometry, it will be useful to ask how we come by knowledge in each. Suppose, for example, we feel certain of a fact related in history… if we apply the notions of evidence which every-day experience justifies us in entertaining, we feel that the improbability of the contrary compels us to take refuge in the belief of the fact; and, if we allow that there is still a possibility of its falsehood, it is because this supposition does not involve absolute absurdity, but only extreme improbability.
In mathematics the case is wholly different… and the difference consists in this—that, instead of showing the contrary of the proposition asserted to be only improbable, it proves it at once to be absurd and impossible. This is done by showing that the contrary of the proposition which is asserted is in direct contradiction to some extremely evident fact, of the truth of which our eyes and hands convince us. In geometry, of the principles alluded to, those which are most commonly used are—
I. If a magnitude is divided into parts, the whole is greater than either of those parts.
II. Two straight lines cannot inclose a space.
III. Through one point only one straight line can be drawn, which never meets another straight line, or which is parallel to it.
It is on such principles as these that the whole of geometry is founded, and the demonstration of every proposition consists in proving the contrary of it to be inconsistent with one of these.”

Augustus De Morgan (1806–1871) British mathematician, philosopher and university teacher (1806-1871)

Source: On the Study and Difficulties of Mathematics (1831), Ch. I.

Truth , Feeling , History , Mathematics

“The question of relative atrocities may be illustrated by this fact: a close examination by the author of newspaper files for 1966 alone disclosed somewhere between 600 and 1,000 reported South Vietnamese civilian deaths attributed to “errors” in the use of “allied” firepower. During the same year the number of NLF killings, including paramilitary personnel, according to official Saigon estimates, was 1,000. That is, our acknowledged accidental civilian killings were of the same order of magnitude as official claims of NLF killings. It should be obvious that U. S. bombings and killings in “unfriendly” villages were many times greater than killings by mistake.”

Edward S. Herman (1925–2017) American journalist

Source: Atrocities in Vietnam: Myths and Realities, 1970, p. 58.

Death , Error , Question , Time

“We have defined the main task of economic analysis as the explanation of the magnitudes of economic quantities. The student will find also that the main part of this, as of most other works on the subject, is concerned with the theory of the determination of prices, wages, interest rates, incomes, and the like. He may well inquire, therefore, in the midst of so much mathematics, whether the first task of economics is not the investigation of wealth, or welfare. Some economists have endeavored to restrict the boundaries of the science to the investigation of those quantities which are numerically measurable. Well-being, under such a restriction, would not be part of economics at all.”

Kenneth E. Boulding (1910–1993) British-American economist

Source: 1940s, Economic Analysis, 1941, p. 7-8

Mathematics , Science , Parting , Wealth

“In the last few years there has been a harvest of books and lectures about the "Mysterious Universe." The inconceivable magnitudes with which astronomy deals produce a sense of awe which lends itself to a poetic and philosophical treatment. "When I consider thy heavens, the work of thy hands, the moon and the starts, whuch thou hast ordained: what is man that thou art mindful of him? The literary skill with which this branch of science has been exploited compels one's admiration, but alos, a little, one's sense of the ridiculous. For other facts than those of astronomy, oother disciplines than of mathematics, can produce the same lively feelings of awe and reverence: the extraordinary finenness of their adjustments to the world outside: the amazing faculties of the human mind, of which we know neither whence it comes not whither it goes. In some fortunate people this reverence is produced by the natural bauty of a landscape, by the majesty of an ancient building, by the heroism of a rescue party, by poetry, or by music. God is doubtless a Mathematician, but he is also a Physiologist, an Engineer, a Mother, an Architect, a Coal Miner, a Poet, and a Gardener. Each of us views things in his own peculiar war, each clothes the Creator in a manner which fits into his own scheme. My God, for instance, among his other professions, is an Inventor: I picture him inventing water, carbon dioxide, and haemoglobin, crabs, frogs, and cuttle fish, whales and filterpassing organisms ( in the ratio of 100,000,000,000,000,000,000,000 to 1 in size), and rejoicing greatly over these weird and ingenious things, just as I rejoice greatly over some simple bit of apparatus. But I would nor urge that God is only an Inventor: for inventors are apt, as those who know them realize, to be very dull dogs. Indeed, I should be inclined rather to imagine God to be like a University, with all its teachers and professors together: not omittin the students, for he obviously possesses, judging from his inventions, that noblest human characteristic, a sense of humour.”

Archibald Hill (1886–1977) English physiologist and biophysicist

The Ethical Dilemma of Science and Other Writings https://books.google.com.mx/books?id=zaE1AAAAIAAJ&printsec=frontcover#v=onepage&q&f=false (1960, Cap 1. Scepticism and Faith, p. 41)

God , War , People , Books

“The statement is so frequently made that the differential calculus deals with continuous magnitude, and yet an explanation of this continuity is nowhere given; even the most rigorous expositions of the differential calculus do not base their proofs upon continuity but, with more or less consciousness of the fact, they either appeal to geometric notions or those suggested by geometry, or depend upon theorems which are never established in a purely arithmetic manner. Among these, for example, belongs the above mentioned theorem, and a more careful investigation convinced me that this theorem, or any one equivalent to it, can be regarded in some way as a sufficient basis for infinitesimal analysis. It then only remained to discover its true origin in the elements of arithmetic and thus at the same time to secure a real definition of the essence of continuity. I succeeded Nov. 24, 1858.”

Richard Dedekind (1831–1916) German mathematician

p, 125
Stetigkeit und irrationale Zahlen (1872)

Way , Time , Dependency

“Arithmetic and geometry, according to Plato, are the two wings of the mathematician. The object indeed of all mathematical questions, is to determine the ratios of numbers, or of magnitudes; and it may even be said, to continue the comparison of the ancient philosopher, that arithmetic is the mathematician's right wing; for it is an incontestable truth, that geometrical determinations would, for the most part, present nothing satisfactory to the mind, if the ratios thus determined could not be reduced to numerical ratios. This justifies the common practice, which we shall here follow, of beginning with arithmetic.”

Jacques Ozanam (1640–1718) French mathematician

Source: Recreations in Mathematics and Natural Philosophy, (1803), p. 2

Truth , Mathematics , Question , Parting

“There is an honesty in science which leads to a certain acceptance of reality. There are some who, finding the ocean an impediment to the pursuit of their designs, try to ignore its existence. If they are unable to ignore it because of its size, they try to legislate it out of existence, or try to dry it up with a sponge. They insist that the latter operation would be possible if enough sponges were available, and if enough persons would wield them. There is no ocean of greater magnitude than the sexual function, and there are those who believe that we would do better if we ignored its existence, that we should not try to understand its material origins, and that if we sufficiently ignore it and mop at the flood of sexual activity with new laws, heavier penalties, more pronouncements, and greater intolerances, we may ultimately eliminate the reality.”

Alfred Kinsey (1894–1956) American scientist (1894–1956)

page 10
Sexual Behavior in the Human Female (1953)

Law , Penalty , Understanding , Reality

“Defined simply, innovation is, of course, the introduction of something new. We presume that the purpose of introducing something new into a process is to bring about major, radical change. Process innovation combines a structure for doing work with an orientation to visible and dramatic results. It involves stepping back from a process to inquire into its overall business objective, and then effecting creative and radical change to realize order-of-magnitude improvements in the way that objective is accomplished.”

Thomas H. Davenport (1954) American academic

Process Innovation: Reengineering Work through Information Technology, 1993

Way , Business , Change

“But perhaps you may ask, whether Time was not before the World was created? And if Time does not flow in the Extramundane Space, where nothing is: A mere Vacuum? I answer, that since there was Space before the World was created, and that there now is an Extramundane, infinite Space, (where God is present)… Time existed before the World began, and does exist together with the World in the Extramundane Space, because 'tis possible that some Thing might have existed long before the World was made; and there may now be something in the Extramundane Space, capable of such a Continuance: Some Sun might have given Light long before; and at present this, or some other like it, may diffuse Light thro' Imaginary Spaces. Time therefore does not imply an actual Existence, but only the Capacity or Possibility of the Continuance of Existence; just as Space expresses the Capacity of a Magnitude contain'd in it.”

Isaac Barrow (1630–1677) English Christian theologian, and mathematician

p, 125
Geometrical Lectures (1735)

God , World , Light , Time

“Economists’ instincts are that uncertainty about current prices, future prices, and the real meaning of nominal trade-offs between the present and the future; distortions introduced by the failure of government finance to be inflation-neutral; windfall redistributions; and the focusing of attention not on preferences, factors of production, and technologies but on predicting the future evolution of nominal magnitudes must degrade the functioning of the price system and reduce the effectiveness of the market economy at providing consumer utility. The cumulative jump in the price level as a result of the inflation of the 1970s may have been very expensive to the United States in terms of the associated reduction in human welfare.”

J. Bradford DeLong (1960) American economist

Ch. 6 : "America’s Peacetime Inflation: The 1970s" in Reducing Inflation: Motivation and Strategy (1997) edited by Christina D. Romer and David H. Romer

Failure , Future

“Mathematics is the fruitful Parent of, I had almost said all, Arts, the unshaken Foundation of Sciences, and the plentiful Fountain of Advantage to Human Affairs. In which last Respect, we may be said to receive from the Mathematics, the principal Delights of Life, Securities of Health, Increase of Fortune, and Conveniences of Labour: That we dwell elegantly and commodiously, build decent Houses for ourselves, erect stately Temples to God, and leave wonderful Monuments to Posterity: That we are protected by those Rampires from the Incursions of the Enemy; rightly use Arms, skillfully range an Army, and manage War by Art, and not by the Madness of wild Beasts: That we have safe Traffick through the deceitful Billows, pass in a direct Road through the tractless Ways of the Sea, and come to the designed Ports by the uncertain Impulse of the Winds: That we rightly cast up our Accounts, do Business expeditiously, dispose, tabulate, and calculate scattered 248 Ranks of Numbers, and easily compute them, though expressive of huge Heaps of Sand, nay immense Hills of Atoms: That we make pacifick Separations of the Bounds of Lands, examine the Moments of Weights in an equal Balance, and distribute every one his own by a just Measure: That with a light Touch we thrust forward vast Bodies which way we will, and stop a huge Resistance with a very small Force: That we accurately delineate the Face of this Earthly Orb, and subject the Oeconomy of the Universe to our Sight: That we aptly digest the flowing Series of Time, distinguish what is acted by due Intervals, rightly account and discern the various Returns of the Seasons, the stated Periods of Years and Months, the alternate Increments of Days and Nights, the doubtful Limits of Light and Shadow, and the exact Differences of Hours and Minutes: That we derive the subtle Virtue of the Solar Rays to our Uses, infinitely extend the Sphere of Sight, enlarge the near Appearances of Things, bring to Hand Things remote, discover Things hidden, search Nature out of her Concealments, and unfold her dark Mysteries: That we delight our Eyes with beautiful Images, cunningly imitate the Devices and portray the Works of Nature; imitate did I say? nay excel, while we form to ourselves Things not in being, exhibit Things absent, and represent Things past: That we recreate our Minds and delight our Ears with melodious Sounds, attemperate the inconstant Undulations of the Air to musical Tunes, add a pleasant Voice to a sapless Log and draw a sweet Eloquence from a rigid Metal; celebrate our Maker with an harmonious Praise, and not unaptly imitate the blessed Choirs of Heaven: That we approach and examine the inaccessible Seats of the Clouds, the distant Tracts of Land, unfrequented Paths of the Sea; lofty Tops of the Mountains, low Bottoms of the Valleys, and deep Gulphs of the Ocean: That in Heart we advance to the Saints themselves above, yea draw them to us, scale the etherial Towers, freely range through the celestial Fields, measure the Magnitudes, and determine the Interstices of the Stars, prescribe inviolable Laws to the Heavens themselves, and confine the wandering Circuits of the Stars within fixed Bounds: Lastly, that we comprehend the vast Fabrick of the Universe, admire and contemplate the wonderful Beauty of the Divine 249 Workmanship, and to learn the incredible Force and Sagacity of our own Minds, by certain Experiments, and to acknowledge the Blessings of Heaven with pious Affection.”

Isaac Barrow (1630–1677) English Christian theologian, and mathematician

Source: Mathematical Lectures (1734), p. 27-30

Life , God , War , Health

“Almost all of the material phenomena which occur under terrestrial conditions are recognized as quantum mechanical consequences of the electrical attraction between electrons and nuclei and of the gravitational attraction between massive objects. We should be able, therefore, to express all the relevant magnitudes which characterize the properties of matter in terms of the following six magnitudes: M, m, e, c, G, and h; M is the mass of the proton, m and e are the mass and electrical charge of the electron, c is the light velocity, G is Newton's gravitational constant, and—most importantly—h is the quantum of action …”

Victor Frederick Weisskopf (1908–2002) Austrian-born American theoretical physicist

[Of Atoms, Mountains, and Stars: A Study in Qualitative Physics, Victor F. Weisskopf, Science, 187, 4177, 21 February 1975, 605–612, http://www.jstor.org/stable/1739660]

Light

“It is a century now since Darwin gave us the first glimpse of the origin of species. We know now what was unknown to all the preceding caravan of generations: that men are only fellow-voyagers with other creatures in the odyssey of evolution. This new knowledge should have given us, by this time, a sense of kinship with fellow-creatures; a wish to live and let live; a sense of wonder over the magnitude and duration of the biotic enterprise.”

Aldo Leopold book A Sand County Almanac

“Wisconsin: On a Monument to the Pigeon”, p. 109.
A Sand County Almanac, 1949, "Wisconsin: Marshland Elegy," "Wisconsin: The Sand Counties" "Wisconsin: On a Monument to the Pigeon," and "Wisconsin: Flambeau"

Men , Knowledge , Sense , Time

“While it's impossible to be completely prepared for a downturn of this magnitude, we began priming ourselves for a weakening economy earlier last year. We have implemented strict cost cutting measures across all our operations. We have reduced headcount in individual businesses where appropriate and we've scaled back on capital expenditures. Even in plush times, we have never been a company that tolerates fat. So in times like these, we are better positioned to weather this cycle than our competitors.”

Rupert Murdoch (1931) Australian-American media mogul

About News Corp. 6.4 billion quarterly lost in 2008-09
Source: News Corporation F2Q09 (Qtr End 12/31/08) Earnings Call Transcript http://seekingalpha.com/article/118935-news-corporation-f2q09-qtr-end-12-31-08-earnings-call-transcript?page=-1

Business , Time , Weather

“Descartes maintained his confidence in the instantaneity of light. … Yet in his derivation of the law of refraction, Descartes reasoned that light travelled faster in a dense medium than in one less dense. He seems to have had no qualms about comparing infinite magnitudes!”

Carl B. Boyer (1906–1976) American mathematician

Source: The Rainbow: From Myth to Mathematics (1959), p. 204

Law , Travel , Confidence , Light

“A war takes place; an earthquake occurs; a flood of a magnitude not seen in a hundred years washes over the land; a cartel falls apart; oil prices quadruple; tax laws change, and the market in which you had an open position, or even hedged, moves in a magnitude not only unforeseen, but totally outside past models. They always do. You are in trouble.”

Eugene Rotberg (1930)

"Testimony Before the U.S. House of Representatives Committee on Banking, Finance and Urban Affairs." http://www.generotberg.com/speeches/1990s/TESTIMONYCommitteeBanking100198.html, October 1 1998

War , Law , Change , Past

“Our task in conjunction with the Merchant Navies of the United Nations, and supported by the Allied Air Forces, is to carry the Allied Expeditionary Force to the Continent, to establish it there in a secure bridgehead and to build it up and maintain it at a rate which will outmatch that of the enemy. Let no one underestimate the magnitude of this task.”

Bertram Ramsay (1883–1945) Royal Navy admiral

Special Order of the Day http://heritagecalling.com/2014/06/04/70-years-on-the-remains-of-operation-neptune/, 31 May 1944 by Admiral Sir Bertram Ramsay KCB, KBE, MVO, Allied Naval Commander-in-Chief, Operation Neptune

Support

“The dissatisfaction with life and the world, felt more or less in the present state of society and intellect by every discerning and highly conscientious mind, gave in his case a rather melancholy tinge to the character, very natural to those whose passive moral susceptibilities are more than proportioned to their active energies. For it must be said, that the strength of will of which his manner seemed to give such strong assurance, expended itself principally in manner. With great zeal for human improvement, a strong sense of duty and capacities and acquirements the extent of which is proved by the writings he has left, he hardly ever completed any intellectual task of magnitude. He had so high a standard of what ought to be done, so exaggerated a sense of deficiencies in his own performances, and was so unable to content himself with the amount of elaboration sufficient for the occasion and the purpose, that he not only spoilt much of his work for ordinary use by over-labouring it, but spent so much time and exertion in superfluous study and thought, that when his task ought to have been completed, he had generally worked himself into an illness, without having half finished what he undertook. From this mental infirmity (of which he is not the sole example among the accomplished and able men whom I have known), combined with liability to frequent attacks of disabling though not dangerous ill-health, he accomplished, through life, little in comparison with what he seemed capable of;”

John Stuart Mill book Autobiography

Source: https://archive.org/details/autobiography01mill/page/74/mode/1up pp. 74-75

Men , Nature , Study , Health

“It can be stated as a sober fact that the iron-heel attitude has already reduced by half the ability of Wisconsin to support a cooperative community of men, animals, and plants during the next century. Moreover, it has saddled us with a repair bill, the magnitude of which we are just beginning to appreciate. If some foreign invader attempted such loot, the whole nation would resist to the last man and the last dollar. But as long as we loot ourselves, we charge the indignity to 'rugged individualism', and try to forget it.”

Aldo Leopold (1887–1948) American writer and scientist

"The Arboretum and the University" [1934]; Published in The River of the Mother of God and Other Essays by Aldo Leopold, Susan L. Flader and J. Baird Callicott (eds.) 1991, p. 210.
1930s

Men , Communication , Support , Animals