Quotes about calculation
page 5

Bruce Palmer Jr. photo

“Both Abrams and Westmoreland would have been judged as authentic military "heroes" at a different time in history. Both men were outstanding leaders in their own right and in their own way. They offered sharply contrasting examples of military leadership, something akin to the distinct differences between Robert E. Lee and Ulysses S. Grant of our Civil War period. They entered the United States Military Academy at the same time in 1932- Westmoreland from a distinguished South Carolina family, and Abrams from a simpler family background in Massachusetts- and graduated together with the Class of 1936. Whereas Westmoreland became the First Captain (the senior cadet in the corps) during their senior year, Abrams was a somewhat nondescript cadet whose major claim to fame was as a loud, boisterous guard on the second-string varsity football squad. Both rose to high rank through outstanding performance in combat command jobs in World War II and the Korean War, as well as through equally commendable work in various staff positions. But as leaders they were vastly different. Abrams was the bold, flamboyant charger who wanted to cut to the heart of the matter quickly and decisively, while Westmoreland was the more shrewdly calculating, prudent commander who chose the more conservative course. Faultlessly attired, Westmoreland constantly worried about his public image and assiduously courted the press. Abrams, on the other hand, usually looked rumpled, as though he might have slept in his uniform, and was indifferent about his appearance, acting as though he could care less about the press. The sharply differing results were startling; Abrams rarely receiving a bad press report, Westmoreland struggling to get a favorable one.”

Bruce Palmer Jr. (1913–2000) United States Army Chief of Staff

Source: The 25-Year War: America's Military Role in Vietnam (1984), p. 134

Christopher Monckton photo

“I have begun drafting a memorandum for the prosecuting authorities, together with all evidence necessary to establish not only the existence of numerous specific instances of scientific or economic fraud in relation to the official "global warming" storyline but also the connections between these instances, and the overall scheme of deception that the individual artifices appear calculated to reinforce.”

Christopher Monckton (1952) British public speaker and hereditary peer

Making the police state work for you http://www.climatedepot.com/2011/12/15/fmr-thatcher-advisor-lord-monckton-to-pursue-fraud-charges-against-climategate-scientists-will-present-to-police-the-case-for-numerous-specific-instances-of-scientific-or-economic-fraud/ climatedepot.com, December 15, 2011.

Giuseppe Peano photo

“Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.”

Giuseppe Peano (1858–1932) Italian mathematician

Geometric Calculus (1895) as translated by Lloyd C. Kannenberg (2000) "The Operations of Deductive Logic'" Ch. 1 "Geometric Formations"

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Hannah Arendt photo
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Nassim Nicholas Taleb photo

“Probability is a liberal art; it is a child of skepticism, not a tool for people with calculators on their belts to satisfy their desire to produce fancy calculations and certainties.”

Nassim Nicholas Taleb (1960) Lebanese-American essayist, scholar, statistician, former trader and risk analyst

Source: The Black Swan: The Impact of the Highly Improbable (2007), p. 128

Thomas Young (scientist) photo
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E. W. Hobson photo

“The second period, which commenced in the middle of the seventeenth century, and lasted for about a century, was characterized by the application of the powerful analytical methods provided by the new Analysis to the determination of analytical expressions for the number π in the form of convergent series, products, and continued fractions. The older geometrical forms of investigation gave way to analytical processes in which the functional relationship as applied to the trigonometrical functions became prominent. The new methods of systematic representation gave rise to a race of calculators of π, who, in their consciousness of the vastly enhance means of calculation placed in their hands by the new Analysis, proceeded to apply the formulae to obtain numerical approximations to π to ever larger numbers of places of decimals, although their efforts were quite useless for the purpose of throwing light upon the true nature of that number. At the end of this period no knowledge had been obtained as regards the number π of the kind likely to throw light upon the possibility or impossibility of the old historical problem of the ideal construction; it was not even definitely known whether the number is rational or irrational. However, one great discovery, destined to furnish the clue to the solution of the problem, was made at this time; that of the relation between the two numbers π and e, as a particular case of those exponential expressions for the trigonometrical functions which form one of the most fundamentally important of the analytical weapons forged during this period.”

E. W. Hobson (1856–1933) British mathematician

Source: Squaring the Circle (1913), pp. 11-12

John McCain photo

“In the end the question is: Who is to be master, man or his machines? As long as the control over technology rests primarily on economic calculation, the victor is not likely to be man.”

Robert L. Heilbroner (1919–2005) American historian and economist

Source: The Future As History (1960), Chapter III, part 10, The Mastery of Technology, p. 161

Nathanael Greene photo

“Hitherto our principal difficulty has arose from a want of proper supplies of money, and from the inefficacy of that which we obtained; but now there appears a scene opening which will introduce new embarrassments. The Congress have recommended to the different States to take upon themselves the furnishing certain species of supplies for our department. The recommendation falls far short of the general detail of the business, the difficulty of ad justing which, between the different agents as well as the different authorities from which they derive their appointments, I am very apprehensive will introduce some jarring interests, many improper disputes, as well as dangerous delays. Few persons, who have not a competent knowledge of this employment, can form any tolerable idea of the arrangements necessary to give despatch and success in discharging the duties of the office, or see the necessity for certain relations and dependencies. The great exertions which are frequently necessary to be made, require the whole machine to be moved by one common interest, and directed to one general end. How far the present measures, recommended to the different States, are calculated to promote these desirable purposes, I cannot pretend to say; but there appears to me such a maze, from the mixed modes adopted by some States, and about to be adopted by others, that I cannot see the channels, through which the business may be conducted, free from disorder and confusion.”

Nathanael Greene (1742–1786) American general in the American Revolutionary War

Letter to George Washington (January 1780)

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Thomas Young (scientist) photo
Antoine Augustin Cournot photo

“Those skilled in mathematical analysis know that its object is not simply to calculate numbers, but that it is also employed to find the relations between magnitudes which cannot be expressed in numbers and between functions whose law is not capable of algebraic expression.”

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

John Morley, 1st Viscount Morley of Blackburn photo

“We are told that we are a pack of Socialists and faddists, and that common sense is on the side of the Unionist party. Well, for my part, I am for going in for all progressive legislation step by step. I do not believe in the short cuts. If Socialism means the abolition of private property, if it means the assumption of land and capital by the State, if it means an equal distribution of products of labour by the State, then I say that Socialism of that stamp, communism of that stamp, is against human nature, and no sensible man will have anything to say to it. But if it means a wise use of the forces of all for the good of each, if it means a legal protection of the weak against the strong, if it means the performance by public bodies of things which individuals cannot perform so well, or cannot perform at all, then the principles of Socialism have been admitted in almost the whole field of social activity already, and all we have to ask when any proposition is made for the further extension of those principles is whether the proposal is in itself a prudent, just, and proper means to the desired end, and whether it is calculated to do good, and more good than harm.”

John Morley, 1st Viscount Morley of Blackburn (1838–1923) British Liberal statesman, writer and newspaper editor

Speech to the Home Counties Division of the National Liberal Federation (13 February 1889), quoted in 'Mr. J. Morley At Portsmouth.', The Times (14 February 1889), p. 6.

Honoré de Balzac photo

“Discretion is the best form of calculation.”

La discrétion est le plus habile des calculs.
La Fille aux yeux d'or http://fr.wikisource.org/wiki/La_Fille_aux_yeux_d%E2%80%99or (The Girl with the Golden Eyes) (1835), translated by Ellen Marriage, ch. III.
La Fille aux yeux d'or (1833)

Herbert A. Simon photo

“Now the salient characteristic of the decision tools employed in management science is that they have to be capable of actually making or recommending decisions, taking as their inputs the kinds of empirical data that are available in the real world, and performing only such computations as can reasonably be performed by existing desk calculators or, a little later electronic computers. For these domains, idealized models of optimizing entrepreneurs, equipped with complete certainty about the world - or, a worst, having full probability distributions for uncertain events - are of little use. Models have to be fashioned with an eye to practical computability, no matter how severe the approximations and simplifications that are thereby imposed on them…
The first is to retain optimization, but to simplify sufficiently so that the optimum (in the simplified world!) is computable. The second is to construct satisficing models that provide good enough decisions with reasonable costs of computation. By giving up optimization, a richer set of properties of the real world can be retained in the models… Neither approach, in general, dominates the other, and both have continued to co-exist in the world of management science.”

Herbert A. Simon (1916–2001) American political scientist, economist, sociologist, and psychologist

Source: 1960s-1970s, "Rational decision making in business organizations", Nobel Memorial Lecture 1978, p. 498; As cited in: Arjang A. Assad, ‎Saul I. Gass (2011) Profiles in Operations Research: Pioneers and Innovators. p. 260-1.

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“Hysteria will not help us to solve the problem that confronts us. We overstate the danger when we say that twelve millions seek, because of post-war conditions abroad, to come immediately to America. Ending June 30, 1914, the year's immigration figures were 1,218,480. Then came the war and a vast slump, from which we are just recovering. Calculations placed immigration statistics for the current year as 1,079,428—figures still below the prewar status. But even though we need have no grave fears, now is the time for a careful reexamination and revision of our immigration policies. We should have no more aliens to cope with, in the immediate months to come, than our institutions are able to handle. To assume burdens we can not easily meet would lie unfair both to us and to the alien. In protecting ourselves we are protecting him as well. We can not lower our standards, or allow them to be lowered, so as to include him. We must prepare him for our standards. And that means wise education. In the home, in the school, in industry, in citizenship, we have not heretofore applied thoroughly the human test, and that is our next step in the Americanization of the alien. Much work has yet to be done in the immediate months to come. Some protective measure, therefore, seems necessary.”

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

1920s, Whose Country Is This? (1921)

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Qutb al-Din Aibak photo

“Hasan Nizami writes that after the suppression of a Hindu revolt at Kol (Aligarh) in 1193 AD, Aibak raised “three bastions as high as heaven with their heads, and their carcases became food for beasts of prey. The tract was freed from idols and idol-worship and the foundations of infidelism were destroyed.” In 1194 AD Aibak destroyed 27 Hindu temples at Delhi and built the Quwwat-ul-Islãm mosque with their debris. According to Nizami, Aibak “adorned it with the stones and gold obtained from the temples which had been demolished by elephants”. In 1195 AD the Mher tribe of Ajmer rose in revolt, and the Chaulukyas of Gujarat came to their assistance. Aibak had to invite re-inforcements from Ghazni before he could meet the challenge. In 1196 AD he advanced against Anahilwar Patan, the capital of Gujarat. Nizami writes that after Raja Karan was defeated and forced to flee, “fifty thousand infidels were despatched to hell by the sword” and “more than twenty thousand slaves, and cattle beyond all calculation fell into the hands of the victors”. The city was sacked, its temples demolished, and its palaces plundered. On his return to Ajmer, Aibak destroyed the Sanskrit College of Visaladeva, and laid the foundations of a mosque which came to be known as ADhãî Din kã JhoMpaDã. Conquest of Kalinjar in 1202 AD was Aibak’s crowning achievement. Nizami concludes: “The temples were converted into mosques… Fifty thousand men came under the collar of slavery and the plain became black as pitch with Hindus.””

Qutb al-Din Aibak (1150–1210) Turkic peoples king of Northwest India

Hasan Nizami, quoted from Goel, Sita Ram (2001). The story of Islamic imperialism in India. ISBN 9788185990231 Ch. 6

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Thomas Chalmers photo

“To be benevolent in speculation, is often to be selfish in action and in reality. The vanity and the indolence of man delude him into a thousand inconsistencies. He professes to love the name and the semblance of virtue, but the labour of exertion and of self-denial terrifies him from attempting it. The emotions of kindness are delightful to his bosom, but then they are little better than a selfish indulgence—they terminate in his own enjoyment—they are a mere refinement of luxury. His eye melts over the picture of fictitious distress, while not a tear is left for the actual starvation and misery with which he is surrounded. It is easy to indulge the imaginations of a visionary heart in going over a scene of fancied affliction, because here there is no sloth to overcome—no avaricious propensity to control—no offensive or disgusting circumstance to allay the unmingled impression of sympathy which a soft and elegant picture is calculated to awaken. It is not so easy to be benevolent in action and in reality, because here there is fatigue to undergo—there is time and money to give — there is the mortifying spectacle of vice, and folly, and ingratitude, to encounter.”

Thomas Chalmers (1780–1847) Scottish mathematician and a leader of the Free Church of Scotland

Source: Discourses on the Christian Revelation viewed in connection with the Modern Astronomy together with his sermons... (1818), P. 175.

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“Few are the beliefs, still fewer the superstitions of to-day. We pretend to account for everything, till we do not believe enough for that humility so essential to moral discipline. But the dark creed of the fatalist still holds its ground — there is that within us, which dares not deny what, in the still depths of the soul, we feel to have a mysterious predominance. To a certain degree we controul our own actions — we have the choice of right or wrong; but the consequences, the fearful consequences, lie not with us. Let any one look upon the most important epochs of his life; how little have they been of his own making — how one slight thing has led on to another, till the result has been the very reverse of our calculations. Our emotions, how little are they under our own controul! how often has the blanched lip, or the flushed cheek, betrayed what the will was strong to conceal! Of all our sensations, love is the one which has most the stamp of Fate. What a mere chance usually leads to our meeting the person destined to alter the whole current of our life. What a mystery even to ourselves the influence which they exercise over us. Why should we feel so differently towards them, to what we ever felt before? An attachment is an epoch in existence — it leads to casting off old ties, that, till then, had seemed our dearest; it begins new duties; often, in a woman especially, changes the whole character; and yet, whether in its beginning, its continuance or its end, love is as little within our power as the wind that passes, of which no man knows whither it goeth or whence it comes.”

Letitia Elizabeth Landon (1802–1838) English poet and novelist

No.14. The Bride of Lammermuir — LUCY ASHTON.
Literary Remains

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Ihara Saikaku photo

“There is always something to upset the most careful of human calculations.”

Ihara Saikaku (1642–1693) Japanese writer

Book II, ch. 2.
The Japanese Family Storehouse (1688)

Thomas Carlyle photo

“The infinite, absolute character of Virtue has passed into a finite, conditional one; it is no longer a worship of the Beautiful and Good; but a calculation of the Profitable.”

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

1820s, Signs of the Times (1829)

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“Opponents of the New Art fall back on this calculation, rejecting its self-sufficient meaning and, having declared it 'Transitional,' being unable even to understand properly the conception of this Art, lumping together Cubism, Futurism, and other phenomena of artistic life, not ascertaining for themselves either their essential differences or the shared tenets that link them.”

Olga Rozanova (1886–1918) Russian artist

Olga Rozanova, in 'Osnovy Novogo Tvorchestva i printsipy ego neponimaniia,' Soiuz molodezhi 3 (March 1913), p. 18; as quoted by Svetlana Dzhafarova, in The great Utopia - The Russian and Soviet Avant-Garde, 1915-1932 (transl. Jane Bobko); Guggenheim Museum, New York, 1992, p. 477
Olga Rozanova accused the critics and their brethren of bad faith, citing as a prime example Aleksandr Benua's "Kubizm ili Kukishizm" ("Cubism or Je-m'en-foutisme"), a scathing 1912 review

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“Most people in the West, certainly everyone in Israel, would agree that the Palestinian suicide bombers, who kill women and children, are terrorists. Not many people remember when Palestine, as the land of Israel was once called, was in that obscure state, a British Protectorate. Were the Jewish members of the Stern Gang, those who hanged a British sergeant with piano wire or organized the bomb in the King David Hotel with murderous results (the organization in which Prime Minister Begin started his political career), ‘freedom fighters’ or ‘terrorists’? What, looking at the matter from an entirely neutral standpoint, would we call them now?
A terrorist, the dictionary tells us, is ‘one who favours or uses terror-inspiring methods of governing or of coercing government or community’. This would certainly cover Russian activities in Chechnya and Israeli invasions into Palestinian territory, killing innocent men, women and children and even employees of the United Nations, in a prolonged attempt to fight ruthless terrorism with ruthless terrorism. The word ‘terrorist’ could certainly have been applied to Nelson Mandela before his trial. If it means the calculated mass killing of civilians to obtain an end, it must be applied to the destruction of Hamburg and Düsseldorf and, of course, to the dropping of H-bombs. So all these activities can be defined as ‘terrorism’ if they are committed by an enemy or ‘freedom-fighting’ if by a friend. If so, the conception of a ‘war’ against it calls for the most careful thought.”

John Mortimer (1923–2009) English barrister, dramatist, screenwriter and author

Source: Where There's a Will: Thoughts on the Good Life (2003), Ch. 15 : Interesting Times

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“War as a whole, and each operation taken separately, are first of all mathematics and calculations.”

Vasily Blyukher (1889–1938) Soviet military commander

Quoted in Jonathan Fenby; Chiang Kai Shek: China's Generalissimo and the Nation He Lost

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George Mason photo

“Every society, all government, and every kind of civil compact therefore, is or ought to be, calculated for the general good and safety of the community.”

George Mason (1725–1792) American delegate from Virginia to the U.S. Constitutional Convention

Remarks on Annual Elections (1775)

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“Today Eratosthenes' method [of calculating the circumference of the earth] seems almost banal … yet it is inaccessible to prescientific civilizations, and in all of Antiquity not a single Latin author succeeded in stating it coherently.”

Lucio Russo (1944) Italian historian and scientist

3.2, "Geodesy and Mathematical Geography", p. 68
The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn (2004)

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Ahmed Shah Durrani photo

“Next morning the sun revealed a horrid spectacle on the vast plain south of PAnipat. On the actual field of the combat thirty-one distinct heaps of the slain were counted, the number of bodies in each ranging from 500 upwards to 1000 and in four up to 1500 a rough total of 28,000. In addition to these, the ditch round the Maratha camp was full of dead bodies, partly the victims of disease and famine during the long siege and partly wounded men who had crawled out of the fighting to die there. West and south of PAnipat city, the jungle and the road in the line of MarAtha retreat were littered with the remains of those who had fallen unresisting in the relentless DurrAni pursuit or from hunger and exhaustion. Their number - probably three-fourths non-combatants and one-fourth soldiers - could not have been far short of the vast total of those slain in the battlefield. 'The hundreds who lay down wounded, perished from the severity of the cold.'….
'After the havoc of combat followed massacre in cold blood. Several hundreds of MarAthas had hidden themselves in the hostile city of PAnipat through folly or helplessness; and these were hunted out next day and put to the sword. According to one plausible account, the sons of Abdus Samad Khan and Mian Qutb received the DurrAni king's permission to avenge their father's death by an indiscriminate massacre of the MarAthas for one day, and in this way nearly nine thousand men perished; these were evidently non-combatants. The eyewitness Kashiraj Pandit thus describes the scene: 'Every Durrani soldier brought away a hundred or two of prisoners and slew them in the outskirts of their camp, crying out, When I started from our country, my mother, father, sister and wife told me to slay so may kafirs for their sake after we had gained the victory in this holy war, so that the religious merit of this act [of infidel slaying] might accrue to them. In this way, thousands of soldiers and other persons were massacred. In the Shah's camp, except the quarters of himself and his nobles, every tent had a heap of severed heads before it. One may say that it was verily doomsday for the MarAtha people.'….
The booty captured within the entrenchment was beyond calculation and the regiments of Khans [i. e. 8000 troopers of AbdAli clansmen] did not, as far as possible, allow other troops like the IrAnis and the TurAnis to share in the plunder; they took possession of everything themselves, but sold to the Indian soldiers handsome Brahman women for one tuman and good horses for two tumans each.' The Deccani prisoners, male and female reduced to slavery by the victorious army numbered 22,000, many of them being the sons and other relatives of the sardArs or middle class men. Among them 'rose-limbed slave girls' are mentioned.' Besides these 22,000 unhappy captives, some four hundred officers and 6000 men fled for refuge to ShujA-ud-daulah's camp, and were sent back to the Deccan with monetary help by that nawab, at the request of his Hindu officers. The total loss of the MarAthas after the battle is put at 50,000 horses, captured either by the AfghAn army or the villagers along the route of flight, two hundred thousand draught cattle, some thousands of camels, five hundred elephants, besides cash and jewellery. 'Every trooper of the Shah brought away ten, and sometimes twenty camels laden with money. The captured horses were beyond count but none of them was of value; they came like droves of sheep in their thousands.”

Ahmed Shah Durrani (1722–1772) founder of the Durrani Empire, considered founder of the state of Afghanistan

Jadunath Sarkar, Fall of the Mughal Empire, Volume II, Fourth Edition, New Delhi, 1991, p.210-11

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“Muhammad took the fort [of Rawar] and stayed there for two or three days. He put six thousand fighting men, who were in the fort, to the sword, and shot some with arrows. The other dependents and servants were taken prisoners, with their wives and children… When the number of the prisoners was calculated, it was found to amount to thirty thousand persons, amongst whom thirty were the daughters of chiefs, and one of them was Rai Dahir's sister's daughter, whose name was Jaisiya. They were sent to Hajjaj. The head of Dahir and the fifth part of the prisoners were forwarded in charge of Ka'ab, son of Mharak. When the head of Dahir, the women, and the property all reached Hajjaj, he prostrated himself before Allah, offered thanksgivings and praises… Hajjaj then forwarded the head, the umbrellas, and wealth, and the prisoners to Walid the Khalifa. When the Khalifa of the time had read the letter, he praised Almighty Allah. He sold some of those daughters of the chiefs, and some he granted as rewards. When he saw the daughter of Rai Dahir’s sister he was much struck with her beauty and charms, and began to bite his finger with astonishment…. It is said that after the conquest was effected and the affairs of the country were settled and the report of the conquest had reached Hajjaj, he sent a reply to the following effect. 'O my cousin! I received your life-inspiring letter. I was much pleased and overjoyed when it reached me. The events were recounted in an excellent and beautiful style, and I learnt that the ways and rules you follow are conformable to the Law. Except that you give protection to all, great and small alike, and make no difference between enemy and friend. God says, - Give no quarter to Infidels, but cut their throats. Then know that this is the command of the great God [Allah]. You shall not be too ready to grant protection, because it will prolong your work. After this, give no quarter to any enemy except to those who are of rank.”

Muhammad bin Qasim (695–715) Umayyad general

The Chach Nama, in: Elliot and Dowson, History of India as told by its own Historians, Volume I, p. 172-173. Also partially quoted in B.R. Ambedkar, Pakistan or The Partition of India (1946)
Quotes from The Chach Nama

“We are approaching a darkness in the land. Boys and girls are emerging from every level of school with certificates and degrees, but they can't read, write or calculate. We don't have academic honesty or intellectual rigor. Schools have abandoned integrity and rigor.”

Julius Sumner Miller (1909–1987) American physicist

As quoted in "TV and Classroom Physicist : 'Professor Wonderful,' Julius Sumner Miller, Dies" by Gerald Faris, in The Los Angeles Times (16 April 1987)

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“Many of my personal enemies picture me as a cold type - a person who acts according to a certain line, a calculating type.”

Walter Schellenberg (1910–1952) German general

To Leon Goldensohn (12 March 1946). Quoted in "The Nuremberg Interviews" - by Leon Goldensohn, Robert Gellately - History - 2004

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