Quotes about formula
page 2

“The viewpoint of the formalist must lead to the conviction that if other symbolic formulas should be substituted for the ones that now represent the fundamental mathematical relations and the mathematical-logical laws, the absence of the sensation of delight, called "consciousness of legitimacy," which might be the result of such substitution would not in the least invalidate its mathematical exactness. To the philosopher or to the anthropologist, but not to the mathematician, belongs the task of investigating why certain systems of symbolic logic rather than others may be effectively projected upon nature. Not to the mathematician, but to the psychologist, belongs the task of explaining why we believe in certain systems of symbolic logic and not in others, in particular why we are averse to the so-called contradictory systems in which the negative as well as the positive of certain propositions are valid.”

L. E. J. Brouwer (1881–1966) Dutch mathematician and logician

as translated by Arnold Dresden from: Brouwer, L. E. J. (1913). Intuitionism and formalism. Bulletin of the American Mathematical Society, 20(2), 81–96. (quote on p. 84)

Law, Mathematics, Nature

“Rimbaud has epitomized for me the true function of the artist when he wrote: 'The poet should define the quantity of the unknown which awakes in his time, in the universal soul. He should give more than the formula of his thought, than the annotation of his march toward progress. The enormous becoming the normal, when absorbed by everyone, he would really be a multiplication of progress.”

Arshile Gorky (1904–1948) Armenian-American painter

Quote of Gorky, in his text 'My murals for the Newark Airport: an interpretation', Arshile Gorky, 1936
1930 - 1941

Soul, Universe, Time

“I'm able to paint so nice and thick with those big splodges that stay upright because I mix my own paint. I use the formula that the seventeenth-century painters used and I've added one or two things myself. A very important element is stand oil. I once got hold of a whole barrel full and I'm still using it. There are pots of it in all my studios, in New York, in Connecticut, in Monaco, and in Tuscany. [the oil had been found when an old paint shop closed down, in a] stock that had been there since the seventeenth century... I mix my oil paint with it, and I throw in a lot of eggs and some concentrated turpentine. It's as thick as homemade mayonnaise. When it dries it is as tough and hard as rubber.”

Karel Appel (1921–2006) Dutch painter, sculptor, and poet

Quote from an interview in 'Elsevier', 22 December, 1990; translated and quoted by Frank van der Ploeg, in 'The Low Countries'. Jaargang 12 (2004) http://www.dbnl.org/tekst/_low001200401_01/_low001200401_01_0027.php

Painting

“Too much of our time is spent trying to chart God on a grid, and too little is spent allowing our hearts to feel awe. By reducing Christian spirituality to formula, we deprive our hearts of wonder.”

Donald Miller book Blue Like Jazz: nonreligious thoughts on Christian spirituality

Blue Like Jazz (2003, Nelson Books)

God, Feeling, Time, Heart

“I know of nothing more terrible than the poor creatures who have learned too much. Instead of the sound powerful judgement which would probably have grown up if they had learned nothing, their thoughts creep timidly and hypnotically after words, principles and formulae, constantly by the same paths. What they have acquired is a spider's web of thoughts too weak to furnish sure supports, but complicated enough to provide confusion.”

Ernst Mach (1838–1916) Austrian physicist and university educator

"On the Relative Educational Value of the Classics and the Mathematico-Physical Sciences in Colleges and High Schools", an address in (16 April 1886), published in Popular Scientific Lectures (1898), as translated by Thomas J. McCormack, p. 367
19th century

Support, Learning

“This democratic method of resolving contradictions among the people was epitomized in 1942 in the formula “unity, criticism, unity”. To elaborate, it means starting from the desire for unity, resolving contradictions through criticism or struggle and arriving at a new unity on a new basis. In our experience this is the correct method of resolving contradictions among the people.”

Mao Zedong (1893–1976) Chairman of the Central Committee of the Communist Party of China

On the Correct Handling of Contradictions Among the People
Original: (zh-CN) 在一九四二年，我们曾经把解决人民内部矛盾的这种民主的方法，具体化为一个公式，叫做“团结——批评——团结”。讲详细一点，就是从团结的愿望出发，经过批评或者斗争使矛盾得到解决，从而在新的基础上达到新的团结。按照我们的经验，这是解决人民内部矛盾的一个正确的方法。

People

“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

“The success of mathematical physics led the social scientist to be jealous of its power without quite understanding the intellectual attitudes that had contributed to this power. The use of mathematical formulae had accompanied the development of the natural sciences and become the mode in the social sciences. Just as primitive peoples adopt the Western modes of denationalized clothing and of parliamentatism out of a vague feeling that these magic rites and vestments will at once put them abreast of modern culture and technique, so the economists have developed the habit of dressing up their rather imprecise ideas in the language of the infinitesimal calculus.”

Norbert Wiener (1894–1964) American mathematician

Source: Ex-Prodigy: My Childhood and Youth (1964), p. 89; partly cited in: Herman E. Daly. Steady-State Economics: Second Edition With New Essays. 1977/1991 p. 4

People, Feeling, Mathematics, Idea

“Communist morals follow a simple formula. Anything which Promotes the communist cause is good; anything which hinders it is bad. Upon examination, that philosophy turns out to be a code of opportunism and expediency, or a code of no morals at all. Anyone who does not conform to the dictates of the Party as to what is good for Communism and what is not, is subjected to the most severe penalties under Articles 131 and 133 of the Soviet Constitution. Thus, the perfect example of "class" morality, which the Marxists attribute to the Judaic-Christian code, is to be found right in the Communist plan of action itself.”

W. Cleon Skousen book The Naked Communist

The Naked Communist (1958)

Penalty, Communication, Perfection

“Because the — all which is on the table begins to address the big cost drivers. For example, how benefits are calculate, for example, is on the table; whether or not benefits rise based upon wage increases or price increases. There's a series of parts of the formula that are being considered. And when you couple that, those different cost drivers, affecting those — changing those with personal accounts, the idea is to get what has been promised more likely to be — or closer delivered to what has been promised. Does that make any sense to you? It's kind of muddled. Look, there's a series of things that cause the — like, for example, benefits are calculated based upon the increase of wages, as opposed to the increase of prices. Some have suggested that we calculate — the benefits will rise based upon inflation, as opposed to wage increases. There is a reform that would help solve the red if that were put into effect. In other words, how fast benefits grow, how fast the promised benefits grow, if those — if that growth is affected, it will help on the red.”

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

4 February 2005
http://www.snopes.com/politics/bush/muddled.asp
2000s, 2005

Idea, Sense, Change, Help

“And we would play together,
like fine musicians should,
And it would sound like music,
and the music would sound good.
But in real life I'm stuck with
that same old formula,
me and my monophonic symphony,
six string orchestra.”

Harry Chapin (1942–1981) American musician

Six String Orchestra
Song lyrics, Verities & Balderdash (1974)

Life, Music

“The essential meaning of such an assertion is this: events a and b are necessarily dependent moments of a single unified occurrence. The mathematical formula states the quantitative relations involved in the occurrence. Already in such cases the dependent moment of the occurrence are moments that obtain temporally by side.”

Kurt Lewin (1890–1947) German-American psychologist

Kurt Lewin (1927, p. 305) as cited in: K. Mulligan & B. Smith (1988) " Mach and Ehrenfels: Foundations of Gestalt Theory http://ontology.buffalo.edu/smith/articles/mach/mach.pdf". p. 149. 1920s

Mathematics, Dependency

“In the matter of physics, the first lessons should contain nothing but what is experimental and interesting to see. A pretty experiment is in itself often more valuable than twenty formulae extracted from our minds.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Conversations with Einstein by Alexander Moszkowski (1971), p. 69 http://books.google.com/books?id=_D3wAAAAIAAJ&q=%22first+lessons+should+contain+nothing+but+what%22#search_anchor. This is just Moszkowski's English translation of a statement he attributed to Einstein in his 1922 book Einstein, Einblicke in seine Gedankenwelt, p. 77 http://books.google.com/books?id=6zHPAAAAMAAJ&pg=PA77#v=onepage&q&f=false: "Was die Physik betrifft, fuhr Einstein fort, so darf für den ersten Unterricht gar nichts in Frage kommen, als das Experimentelle, anschaulich-Interessante. Ein hübsches Experiment ist schon an sich oft wertvoller, als zwanzig in der Gedankenretorte entwickelte Formeln." As Moszkowski makes clear in the original German text, this "quotation" is a paraphrasing of his conversation with Einstein. Attributed in posthumous publications

“It seems to me that any cult has to have the following characteristics: One, a dictatorial leader, often called charismatic, who has total and unlimited control over his group. Two, followers who have abdicated the right to say no, the right to pass judgment, the right to protest, who have sold their souls for the security of slavery. Three, possibly the most dangerous doctrine known to our civilization, that the end justifies the means; therefore, any thing from the Moonies' heavenly deception to the violence of Synanon to the theft of government documents by Scientology, to the brutality of the Children of God, all the way to the murder-suicide of Jonestown, all is permitted because the ends justify the means and there is no one there to tell them no. Four, unlimited funds. The Unification Church with its some $50 million brought in each year by its mobile fund raising teams is duplicated by the Hare Krishnas dressing as Santa Claus or the Children of God sending out their women as fishers of men. Five, the instilling of fear, hatred, and suspicion of everyone outside the camp, of the entire outside world in order to keep the victims in line. You put them all together gentlemen -- You have a prescription for violence, for death, for destruction. It is a formula that fits the Nazi Youth Movement as accurately as it describes the Unification Church. Or the People's Temple.”

Maurice Davis (1921–1993) American rabbi

Ibid., February 5, 1979.

Death, Women, Men, God

“A picture may be worth a thousand words, a formula is worth a thousand pictures.”

Edsger W. Dijkstra (1930–2002) Dutch computer scientist

Dijkstra (EWD1239: A first exploration of effective reasoning)
1990s

“I want to do kiddie movies now. I'm fed up with adult movies — most of them stink. At a certain point with movies it becomes all about mathematics: this has to lead up to this, this has to lead up to that — you're always bound by some kind of formula. But since having kids and watching lots of animated cartoons and all those great old Disney films, I think they're better, they're much better. They're more fun and they take more risks.”

Johnny Depp (1963) American actor, film producer, and musician

Quoted in Jessamy Calkin, "One That Got Away," http://www.johnnydeppfan.com/interviews/telegraphmag.htm The Daily Telegraph Magazine (2002-08-03)

Mathematics, Thinking, Animals

“Usually it is easier to obtain estimates for budget proportions and Engel elasticities than for elasticities with respect to price. By making certain want independence assumptions, the elasticities with respect to price can be deduced from the knowledge of budget proportions and Engel elasticities. In this connection the concept of the flexibility of the marginal utility of money is essential. A system of formulae decribing these relations is given.”

Ragnar Frisch (1895–1973) Norwegian economist

Ragnar Frisch. " A complete scheme for computing all direct and cross demand elasticities in a model with many sectors http://econ.ucdenver.edu/beckman/Research/readings/frisch-demand-econometrica.pdf." Econometrica 27.2 (1959): 177-196. 1940-60s

Money, Knowledge

“As chief secretary, I was having a terrible time doing what I didn’t go into politics to do — cutting public expenditure. And I was having meetings with every departmental minister about their budget. They all wanted more money — Tony Benn and Barbara Castle more than most. I decided that I could get rid of three Cabinet ministers — the secretaries of state for Scotland, Wales and Northern Ireland — if I could settle on a formula for their budgets. So I set up this method for allocating public expenditure that the Cabinet then agreed to.”

Joel Barnett, Baron Barnett (1923–2014) British politician

Explaining the origin of the Barnett formula. Daily Telegraph http://www.telegraph.co.uk/news/obituaries/11205400/Lord-Barnett-obituary.html obituary, 3 Nov 2014

Money, Time

“As far as the use of mathematics in economics is concerned, there is an abundance of formulas where such are not needed. They are frequently introduced, one fears, in order to show off. The more difficult the mathematical theorem, the more esoteric the name of the mathematician quoted, the better.”

Oskar Morgenstern (1902–1977) austrian economist

Oskar Morgenstern, " Limits of the Use of Mathematics in Economics https://www.princeton.edu/~erp/ERParchives/archivepdfs/M49.pdf," in: James C. Charlesworth (Hg.), Mathematics and the Social Science. The Utility and Inutility of Mathematics in the Study of Economics, Political Sciences and Sociology, Philadelphia 1963, S. 12-29, hier S. 18.

Fear, Quotes, Mathematics

“Bush is our fault. He's our fault because too many of us found it easier to hate him than find a way to love each other. If we work on the second thing a little harder, we won't need to rely on the cynics in the DLC to come up with the right "formula" the next time around. Because happiness and hope have a way of selling themselves.”

Matt Taibbi (1970) author and journalist

"Finding Love in Electoral Politics", AlterNet (13 November 2004)

Love, Hate, Happiness, Hope

“I may remark that the curious transformations many formulae can undergo, the unsuspected and to a beginner apparently impossible identity of forms exceedingly dissimilar at first sight, is I think one of the chief difficulties in the early part of mathematical studies. I am often reminded of certain sprites and fairies one reads of, who are at one's elbows in one shape now, and the next minute in a form most dissimilar.”

Ada Lovelace (1815–1852) English mathematician, considered the first computer programmer

As quoted in Toole, Betty Alexandra (1998), Ada, the Enchantress of Numbers: Prophet of the Computer Age, Strawberry Press, ISBN 0912647183. p. 99

Mathematics, Thinking, Study, Reading

“On a novel plan, I have combined the historical progress with the scientific developement of the subject; and endeavoured to lay down and inculcate the principles of the Calculus, whilst I traced its gradual and successive improvements…. there is little doubt, the student's curiosity and attention will be more excited and sustained, when he finds history blended with science, and the demonstration of formulae accompanied with the object and the causes of their invention, than by a mere analytical exposition of the principles of the subject. He will have an opportunity of observing how a calculus, from simple beginnings, by easy steps, and seemingly the slightest improvements, is advanced to perfection; his curiosity too, may be stimulated to an examination of the works of the contemporaries of Newton; works once read and celebrated: yet the writings of the Bernoullis are not antiquated from loss of beauty, nor deserve neglect…”

Robert Woodhouse (1773–1827) English mathematician

Preface p. iv-v
A Treatise on Isoperimetrical Problems, and the Calculus of Variations (1810)

Beauty, History, Science, Loss

“A mathematical formula should never be "owned" by anybody! Mathematics belong to God.”

Donald Ervin Knuth Digital Typography

Digital Typography, ch. 1, p. 8 (1999)

God, Mathematics

“The real problem is that now no politician wants to tackle it. The Barnett Formula saves people trouble. It saves prime ministers worrying. That’s the way with politics… Here we are, about to make the wrong decision again.”

Joel Barnett, Baron Barnett (1923–2014) British politician

Daily Telegraph http://www.telegraph.co.uk/news/obituaries/11205400/Lord-Barnett-obituary.html obituary, 3 Nov 2014

People, Way, Problem, Decision

“The Republic of South Africa has a new formula under the National Party's leadership: black nations can get freedom without firing shots or revolution.”

P. W. Botha (1916–2006) South African prime minister

As prime minister, Graaff-Reinet, 26 May 1984, as cited in PW Botha in his own words, Pieter-Dirk Uys, 1987, p. 35

Freedom

“Pari pitsaa: A man comes home with some frozen pizzas, but the promise of an amorous moment vanishes when the Formula 1 Race starts on TV.”

Pauli Hanhiniemi (1964) Finnish musician and composer

Home

“We are told … statements that are not mathematical or logical formulae may look as if they were necessarily or certainly true, but they only look like that. They cannot really be either necessary or certain.”

Robert Maynard Hutchins (1899–1977) philosopher and university president

Great Books: The Foundation of a Liberal Education (1954)

Mathematics

“Sacredness is the essence of religion. You know, a great river may become polluted as it flows past a town, but if the pollution isn’t too great, the river cleanses itself as it goes along, and within a few miles it is again clean, fresh, pure. Similarly, when once the mind comes upon this sacredness, then every act is a cleansing act. Through its very movement the mind is making itself innocent, and therefore it is not accumulating. A mind that has discovered this sacredness is in constant revolution — not economic or social revolution, but an inner revolution through which it is endlessly purifying itself. Its action is not based on some idea or formula. As the river, with a tremendous volume of water behind it, cleanses itself as it flows, so does the mind cleanse itself when once it has come upon this religious sacredness.”

Jiddu Krishnamurti (1895–1986) Indian spiritual philosopher

Vol. XV, p. 244
Posthumous publications, The Collected Works

Religion, Idea, Water, Past

“Traditions that were once vital, sincere and splendid and which are now merely empty formulae, [nor to imitate fifth rate western art slavishly] break away from both and produce something vital, connected with the soil, something essentially Indian.”

Amrita Sher-Gil (1913–1941) Hungarian Indian artist

Amrita to her contemporary painters.
Sikh Heritage,Amrita Shergil

Art, Sincerity

“To many, our democratic system seems so broken that they have simply lost faith that their participation could really matter. The politics of self-interest and catering to narrow special interests is so dominant that so many ask themselves: Why vote? … The political discourse is so formulaic, so tailored into poll-driven, focus-group-approved slogans that don't really say anything substantive or strike at the core of our lived experience.”

Cornel West (1953) African-American philosopher and political/civil rights activist

"Cornel West: Democracy Matters" in The Globalist (24 January 2005)

Faith

“If I had foreseen Hiroshima and Nagasaki, I would have torn up my formula in 1905.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Source: Attributed in posthumous publications, Einstein and the Poet (1983), p. 112

“The size of a firm influences its competitive policies in a number of ways. In the first place the scale of its purchases and sales relative to the total volume of transactions in the firm's market is one indication of the extent of its market control. Taken in conjunction with other data it may throw a good deal of light on price and production policies. Certain authorities, on the other hand, brush aside figures on the relative size of firms as irrelevant and emphasize the decisive importance of the elasticity of the firm's demand curve. 3 It would no doubt be extremely convenient if economists knew the shape of individual demand and cost curves and could proceed forthwith, by comparisons of price and marginal cost, to conclusions regarding the existing degree of monopoly power. The extent to which the monopoly theorists, however, refrain from an empirical application of their formulae is rather striking.”

Edward S. Mason (1899–1992) American economist

Source: "Price and production policies of large-scale enterprise," 1939, p. 62

Way, Decision, Light

“It is difficult to say when algebra as a science began in China. Problems which we should solve by equations appear in works as early as the Nine Sections (K'iu-ch'ang Suan-shu) and so may have been known by the year 1000 B. C. In Liu Hui's commentary on this work (c. 250) there are problems of pursuit, the Rule of False Position… and an arrangement of terms in a kind of determinant notation. The rules given by Liu Hui form a kind of rhetorical algebra.
The work of Sun-tzï contains various problems which would today be considered algebraic. These include questions involving indeterminate equations. …Sun-tzï solved such problems by analysis and was content with a single result…
The Chinese certainly knew how to solve quadratics as early as the 1st century B. C., and rules given even as early as the K'iu-ch'ang Suan-shu… involve the solution of such equations.
Liu Hui (c. 250) gave various rules which would now be stated as algebraic formulas and seems to have deduced these from other rules in much the same way as we should…
By the 7th century the cubic equation had begun to attract attention, as is evident from the Ch'i-ku Suan-king of Wang Hs'iao-t'ung (c. 625).
The culmination of Chinese is found in the 13th century. …numerical higher equations attracted the special attention of scholars like Ch'in Kiu-shao (c.1250), Li Yeh (c. 1250), and Chu-Shï-kié (c. 1300), the result being the perfecting of an ancient method which resembles the one later developed by W. G. Horner”

David Eugene Smith (1860–1944) American mathematician

1819
Source: History of Mathematics (1925) Vol.2, Ch. 6: Algebra

Way, Question, Problem, Appearance

“Lacan, Derrida and Foucault are the perfect prophets for the weak, anxious academic personality, trapped in verbal formulas and perennially defeated by circumstances. They offer a self-exculpating cosmic explanation for the normal professorial state of resentment, alienation, dithering passivity and inaction.”

Camille Paglia (1947) American writer

Source: Sex, Art and American Culture : New Essays (1992), Junk Bonds and Corporate Raiders : Academe in the Hour of the Wolf, p. 211

Personality, Perfection

“People who suffer beyond the formulas of expression,— who are crushed into silence, and beyond pain,— want no display of emotion,— no bleeding heart,— no weeping at the foot of the Cross,— no hysterics,— no phrases! They want to see God, and to know that he is watching over his own.”

Henry Adams (1838–1918) journalist, historian, academic, novelist

Mont Saint Michel and Chartres (1904)

God, Pain, People, Silence

“There is no evidence that a majority of Israelis want a two-state formula. In fact, if we add up votes won by all parties implicitly or explicitly opposed to the two-state formula, we will have a whopping 75 per cent of Israelis. Thus what Netanyahu mastered enough courage to say aloud is what most Israelis think in silence. The picture is hardly different on the Palestinian side. To start with, the Palestinians are divided in at least three camps. In one camp we have Fatah and its allies who have never formally committed to a two-state formula but have dropped hints that they might accept such a solution as a first step toward liberating the rest of historic Palestine, that is to say, what is now Israel, later. The second camp is dominated by Hamas, which is committed to the destruction of Israel in no uncertain terms. However, Hamas does not want a Palestinian state either. As the Palestinian branch of the Muslim Brotherhood, Hamas is a pan-Islamist group dedicated to fighting for the creation of a global caliphate. In the third camp, there are more radical Palestinian groups, including the Islamic Jihad for the Liberation of Palestine, now the favored protégé of the Islamic Republic in Tehran. The IJLP leadership has repeatedly declared its support for a one-state formula sponsored by Iranian “Supreme Guide” Ali Khamenei.”

Amir Taheri (1942) Iranian journalist

Who wants a two-state solution, anyway? http://nypost.com/2015/03/20/who-wants-a-two-state-solution-anyway/, New York Post (March 20, 2015). New York Post

Courage, Support, Thinking, Silence

“Knowledge accumulated during recent decades challenges and contradicts assumptions which are still axiomatic in conventional organizational theory. Unfortunately, those classical principles of organization — derived from inappropriate models, unrelated to the political, social, economic, and technological milieu, and based on erroneous assumptions about behavior — continue to influence our thinking about the management of the human resources of industry. Management's attempts to solve the problems arising from the inadequacy of these assumptions have often involved the search for new formulas, new techniques, new procedures. These generally yield disappointing results because they are adjustments to symptoms rather than causes. The real need is for new theory, changed assumptions, more understanding of the nature of human behavior in organizational settings.”

Douglas McGregor (1906–1964) American professor

Source: The Human Side of Enterprise (1960), p. 17 (2006: 24)

Disappointment, Behavior, Search, Understanding

“We have reached that delightful moment when 'Impressionism' is about to be born, when its light (the formula for which has yet to be found) is still only a hint, a caress, in the silvery snows of Monet or in the pale skies of Pissarro. Ah, how one would like to prolong this moment of hesitation for ever, this moment of transition, when transparent blue shadows are putting black shadows to flight and bitumen disappears!”

Edouard Manet (1832–1883) French painter

Source: Posthumous publications, Portrait of Manet by himself and his contemporaries (1960), p. 212.

Light

“Mathematics may be compared to a mill of exquisite workmanship, which grinds you stuff of any degree of fineness; but, nevertheless, what you get out depends upon what you put in; and as the grandest mill in the world will not extract wheat-flour from peascod, so pages of formulae will not get a definite result out of loose data.”

Thomas Henry Huxley (1825–1895) English biologist and comparative anatomist

"Geological Reform", Quarterly Journal of the Geological Society of London, Vol. 25 (1869); as reprinted in Huxley, Discourses, Biological and Geological essays (1909), pp. 335–336
1860s

World, Mathematics, Dependency

“I wish that Canada and Mexico would legalize marijuana, because that would put the United States on an island. You'd have two countries proving, like the city of Amsterdam has, that making drugs legal is not a negative formula, but the best way to deal with the problem. Making something illegal doesn't mean it goes away, it just means criminals are going to run it.”

Jesse Ventura (1951) American politician and former professional wrestler

Source: Don't Start the Revolution Without Me! (2008), Ch. 10 (p. 189)

Way, Problem, Marijuana, Country

“At its beginnings there was very powerful meditation on the presence of Christ in the oppressed Indians, which objectively pointed toward a christology of the "body of Christ." Guamán Poma, for example, said, "By faith we know clearly that where there is a poor person there is Jesus Christ himself," and Bartolomé de las Casas declared, "In the Indies I leave Jesus Christ, our God, being whipped and afflicted, and buffeted and crucified, not once but thousands of times, as often as the Spaniards assault and destroy those people." But this original christological insight did not thrive, and what became the tradition was a christology based on the dogmatic formulas, in which— however well they were known and understood— what was stressed was the divinity of Christ rather than his real and lived humanity.”

Jon Sobrino (1938) Spanish theologian

Source: Jesus the Liberator (1991), p. 11

God, People, Faith, Affliction

“If the gist of the controversy were to be expressed in a single sentence, one might say that the mechanists represented the opposition of the natural sciences to philosophic interference, while the dialecticians stood for the supremacy of philosophy over the sciences and thus reflected the characteristic tendency of Soviet ideological development. The mechanists’ outlook might be called negative, while the dialecticians ascribed immense importance to philosophy and regarded themselves as specialists. The mechanists, however, had a much better idea of what science was about. The dialecticians were ignoramuses in this sphere and confined themselves to general formulas about the philosophical need to "generalize" and unify the sciences; on the other hand, they knew more than the mechanists about the history of philosophy.”

Leszek Kolakowski (1927–2009) Philosopher, historian of ideas

Eventually the party condemned both camps, and created a dialectical synthesis of both forms of ignorance.
pg. 64
Main Currents Of Marxism (1978), Three Volume edition, Volume III: The Breakdown

History, Idea, Nature, Science

“Certain knowledge of what to fight for, and what to fight against, gives meaning to life and provides its own version of discipline: never give up. That kind of meaning is illusory, I now believe, and blinkered. Fealty to a mystical absolute is a formula for disaster, especially in transformative times.”

Stewart Brand book Whole Earth Discipline

Whole Earth Discipline (2009), page 210.

Life, Knowledge, Time, Fight

“Mystery for mystery science beats religion hollow. I can't open my mouth in my lecture-room without repeating ten times as many unintelligible formulas as ever Hazard is forced to do in his church.”

Henry Adams (1838–1918) journalist, historian, academic, novelist

George Strong in Ch. VII
Esther: A Novel (1884)

Religion, Science, Time

“A phrase begins life as a literary expression; its felicity leads to its lazy repetition; and repetition soon establishes it as a legal formula, undiscriminatingly used to express different and sometimes contradictory ideas.”

Felix Frankfurter (1882–1965) American judge

Concurring, Tiller v. Atlantic Coast Line Railroad Co., 318 U.S. 54 (1943).
Judicial opinions

Life, Idea

“We have to realize that a unified theory of the physical world simply does not exist. We have theories that work in restricted regions, we have purely formal attempts to condense them into a single formula, we have lots of unfounded claims (such as the claim that all of chemistry can be reduced to physics), phenomena that do not fit into the accepted framework are suppressed; in physics, which many scientists regard as the one really basic science, we have now at least three different point of view (relativity, dealing with the very large, quantum theory for an intermediate domain and various particle models for the very small) without a promise of conceptual (and not only formal) unification; perceptions are outside of the material universe (the mind-body problem is still unsolved) - from the very beginning the salesman of a universal truth cheated people into admissions instead of clearly arguing for their philosophy. And let us not forget that it was they and not the representatives of the traditions they attacked who introduced argument as the one and only universal arbiter. They praised argument - they constantly violated its principles.”

Paul Karl Feyerabend book Farewell to Reason

pg 100
Farewell to Reason (1987)

People, Truth, World, Problem

“But we have higher mathematics, haven't we? This gives me freedom from my senses. The language of mathematics is even more inborn and universal than the language of music; a mathematical formula is crystal clear and independent of all sense organs. I therefore built a mathematical laboratory, set myself in it as if I were sitting in a car, and moved along with a beam of light.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

Source: Attributed in posthumous publications, Einstein and the Poet (1983), p. 11

Music, Cars, Mathematics, Sense

“It's strange that all birds don't fly in the same way... I've heard that the wings of aeroplanes all conform to the same formula, whereas birds each conform to a formula of their own... All birds are perhaps a little wrong, because an absolute once-and-for-all formula for a bird has never been found, just as all novels are bad because the correct formula for a novel has never been found.”

Halldór Laxness book Kristnihald undir Jökli (bók)

Kristnihald undir Jökli (Under the Glacier/Christianity at Glacier) (1968)

Way, Bird, Flying

“Used with caution, such formulae really are very useful indeed, and indeed they form the professional stock-in-trade of most engineering designers and draughtsmen. There is not the slightest need to be ashamed of using them; in fact we all do. But they must be used with caution.
# Make sure that you really understand what the formula is about.
# Make sure that it really does apply to your particular situation.
# Remember, remember, remember, that these formulae take no account of stress concentrations or other special local conditions.”

J.E. Gordon (1913–1998) Materials scientist

Appendix 1, Handbooks and formulae
Structures (or, Why Things Don't Fall Down) (1978)

Understanding

“Yes, yes, a formula that's a straitjacket.... not for me! All the same, he tries in vain, does Jean-Dominique [Ingres], to wring your heart with his glossy finish! I said this to Vollard, to shock him, he is very powerful! Nevertheless he [ Jean-Dominique Ingres, French classicist painter] is a damned good man... The most modern of the moderns. Do you know why I take my hat off to him? Because he forced his fantastic draughtsmanship down the throats of the idiots who now claim to understand it. But here there are only two: Delacroix and Courbet. The rest are scoundrels.”

Paul Cézanne (1839–1906) French painter

Source: Quotes of Paul Cezanne, after 1900, Cézanne, - a Memoir with Conversations, (1897 - 1906), p. 192 in: 'What he told me – II. The Louvre'

Understanding, Heart

“In the United States, … there prevails a simple faith that the formulae of the democratic state will solve all the social problems of humanity, even though their application be limited and hindered by an autocratic economic order.”

Harry F. Ward (1873–1966) American methodist minister

Source: The New Social Order (1920), pp. v-vi

Faith, Problem

“Just as Darwinian adaptationists assume that every biological phenomenon must be explained in terms of natural selection (no matter how unconducive to reproductive fitness it may appear initially), so too Nietzsche assumes that whatever explains “life” must also explain these particular instances of life which appear hostile to it. "'Life against life,'" Nietzsche says is a "self-contradiction" that "can only be apparent; it has to be a sort of provisional expression, an explanation, formula, adjustment, a psychological misunderstanding of something, the real nature of which was far from being understood" (GM III:13). … The crux of Nietzsche’s explanation turns on three claims:
(1) Suffering is a central fact of the human condition.
(2) Meaningless suffering is unbearable and leads to "suicidal nihilism" (GM III:28).
(3) The ascetic ideal gives meaning to suffering, thereby seducing the majority of humans back to life.”

Brian Leiter (1963) American philosopher and legal scholar

"The Hermeneutics of Suspicion: Recovering Marx, Nietzsche, and Freud"

Life, Hostility, Nature, Suicide

“There is no consensus in Israel regarding the two state formula. We will not, under any circumstances, allow the establishment of a neighbouring state that will be a genuine threat on our existence.”

Reuven Rivlin (1939) Israeli politician, 10th President of Israel

Israel national news http://www.israelnationalnews.com/News/News.aspx/131906#.U5gPxPldXs8, 16 June 2009

“…a few years back, in the 1980s, in our efforts to bring peace and democracy to the world we assisted the freedom fighters of Afghanistan, and in our infinite wisdom we gave money, technology and training to Bin Laden, and now, this very year, we have declared that Bin Laden was responsible for the bombing in Africa. So what is our response, because we allow our President to pursue war too easily? What was the President's response? Some even say that it might have been for other reasons than for national security reasons. So he goes off and bombs Afghanistan, and he goes off and bombs Sudan, and now the record shows that very likely the pharmaceutical plant in Sudan was precisely that, a pharmaceutical plant… As my colleagues know, at the end of this bill I think we get a hint as to why we do not go to Rwanda for humanitarian reasons… I think it has something to do with money, and I think it has something to do with oil… they are asking to set up and check into the funds that Saddam Hussein owes to the west. Who is owed? They do not owe me any money. But I will bet my colleagues there is a lot of banks in New York who are owed a lot of money, and this is one of the goals…
Dana Rohrabacher: This resolution is exactly the right formula… Support democracy. Oppose tyranny. Oppose aggression and repression… We should strengthen the victims so they can defend themselves. These things are totally consistent with America's philosophy, and it is a pragmatic approach as well… Our support for the Mujahedin collapsed the Soviet Union. Yes, there was a price to pay, because after the Soviet Union collapsed, we walked away, and we did not support those elements in the Mujahedin who were somewhat in favor of the freedom and western values. With those people who oppose this effort of pro democracy foreign policy, a pro freedom foreign policy rather than isolation foreign policy, they would have had us stay out of that war in Afghanistan. They would never have had us confronting Soviet aggression in different parts of the world… Mr. Speaker, the gentleman does not think it is proper for us to offer those people who are struggling for freedoms in Iraq against their dictatorship a helping hand?
Ron Paul: Mr. Speaker, reclaiming my time, I think it would be absolutely proper to do that, as long as it came out of the gentleman's wallet and we did not extract it from somebody in this country, a taxpayer at the point of a gun and say, look, bin Laden is a great guy. I want more of your money. That is what we did in the 1980s. That is what the Congress did. They went to the taxpayers, they put a gun to their head, and said, you pay up, because we think bin Laden is a freedom fighter.
Dana Rohrabacher: Well, if the gentleman will further yield, it was just not handled correctly.
Ron Paul: Mr. Speaker, again reclaiming my time, the policy is flawed. The policy is flawed.”

Ron Paul (1935) American politician and physician

Debate on the Iraq Liberation Act of 1998, October 5, 1998 http://www.house.gov/paul/congrec/congrec98/cr100598.htm 1990s

Wisdom, Money, War, People

“Philosophers and theologians, like the vulgar, prefer contradiction to enlightenment. They refute one another more gladly than they learn from one another, as though man lived by shunning error and not by loving truth. Accept their formulas and they sink back into their easy chairs and comfortably doze.”

John Lancaster Spalding (1840–1916) Catholic bishop

Source: Aphorisms and Reflections (1901), p. 171-172

Love, Truth, Error, Learning

“A movie should present its characters with a problem and then watch them solve it, not without difficulty. So says an old and reliable screenplay formula. Countless movies have been made about a boy and a girl who have a problem (they haven't slept with each other) and after difficulties (family, war, economic, health, rival lover, stupid misunderstanding) they solve it by sleeping with each other. Now we have a movie about two homosexuals that follows the same reliable convention.”

Roger Ebert (1942–2013) American film critic, author, journalist, and TV presenter

Review http://www.rogerebert.com/reviews/latter-days-2004 of Latter Days (13 February 2004) Reviews, Two-and-a-half star reviews

War, Health, Stupidity, Family

“Undoubtedly the best language for the expression of this ‘unfathomable’ quality was music. The infinity of musical spheres of expression, independent of rationality, is often perceived as ‘unfathomable’ by listeners too. The formal principles of order seem to lie hidden deeper in this art than in others. In the twentieth century the great creative minds, when faced with Romantic artistic urges running riot which they believe must be overcome, or feel they have succeeded in overcoming, have stressed the importance of existing rules; they have followed traditional forms, or else, in their search for new ways to connect, have found and set up new formula-tions and principles. The young Schumann’s creative path led in the opposite direction, from classical forms, however deeply revered, to the freedom of subjective self-expression.”

Burkard Schliessmann classical pianist

Talkings about Chopin and Schumann

Lie, Art, Music, Way

“Rutherford did not pretend to understand quantum mechanics, but he understood that the Gamow formula would give his accelerator a crucial advantage. Even particles accelerated at much lower energies … would be able to penetrate into nuclei. Rutherford invited Gamow to Cambridge in January 1929 … [They] became firm friends and Gamow's insight gave Rutherford the impetus to go full steam ahead with the building of his accelerator.”

Freeman Dyson (1923) theoretical physicist and mathematician

The Scientist As Rebel (2006)

Understanding

“Actually, art and magic are pretty much synonymous. I would imagine that this all goes back to the phenomenon of representation, when, in our primordial past, some genius or other actually flirted upon the winning formula of “This means that.” Whether “this” was a voice or “that” was a mark upon a dry wall or “that” was a guttural sound, it was that moment of representation. That actually transformed us from what we were into what we would be. It gave us the possibility, all of a sudden, of language. And when you have language, you can describe pictorially or verbally the strange and mystifying world that you see around you, and it’s probably not long before you also realize that, hey, you can just make stuff up. The central art of enchantment is weaving a web of words around somebody. And we would’ve noticed very early on that the words we are listening to alter our consciousness, and using the way they can transform it, take it to places we’ve never dreamed of, places that don’t exist.”

Alan Moore (1953) English writer primarily known for his work in comic books

The Believer interview (2013)

World, Dreams, Art, Way

“Verse libertines' pioneered the work to get rid of obstacles between that which hampered the poet and separated him from his audience, less a matter of rules and formulae, more a return of spirit.”

Harriet Monroe (1860–1936) American poet and editor

The New Poetry (1918)

“The formula 'two plus two equals five' is not without its attractions.”

Fyodor Dostoyevsky book Notes from Underground

Part 1, Chapter 9 (page 31)
Notes from Underground (1864)

“Though it would be unfair to blame all on him, there is no escaping the fact that President Barack Obama has been an exceptionally divisive figure. Failing to find formulae for working with a hostile Congress he has tried to circumvent the legislature whenever possible, adding fuel to the fire of division. He leaves behind a deeply divided government. By turning his power base into a coalition of racial, ethnic and religious minorities, Obama has pushed the majority towards radical messages they had shunned for generations. He leaves behind a divided society. Today, even the two main parties, Democrat and Republican, are split with surprising reversals of alliances within each. He leaves behind a divided establishment.”

Amir Taheri (1942) Iranian journalist

Opinion: Clinton or Trump – Better or Less Bad? http://english.aawsat.com/2016/11/article55361471/opinion-clinton-trump-better-less-bad, Ashraq Al-Awsat (November 4, 2016)

Hostility

“The final truth about a phenomenon resides in the mathematical description of it; so long as there is no imperfection in this, our knowledge of the phenomenon is complete. We go beyond the mathematical formula at our own risk; we may find a model or a picture which helps us understand it, but we have no right to expect this, and our failure to find such a model or picture need not indicate that either our reasoning or our knowledge is at fault. The making of models or pictures to explain mathematical formulas and the phenomena they describe is not a step towards, but a step away from reality; it is like making a graven image of a spirit.”

James Jeans book The Mysterious Universe

The Mysterious Universe (1930)

Truth, Mathematics, Failure, Understanding

“Implicit in the Hollywood formula of mom-by-option and dad-by-default is mom never at fault…to a fault.”

Warren Farrell (1943) author, spokesperson, expert witness, political candidate

Source: Father and Child Reunion (2001), p. 93.

Moms

“The two worst strategic mistakes to make are acting prematurely and letting an opportunity slip; to avoid this, the warrior treats each situation as if it were unique and never resorts to formulae, recipes or other people's opinions.”

Paulo Coelho (1947) Brazilian lyricist and novelist

As quoted in Quotes That Help You Survive (2006) by Harpreet Kaur Kapoor.

People

“What I have felt at McLaren is good professionalism, a team that is very determined and focused on the championship. There is a new atmosphere within the team, and I saw that when I went to the factory and met all the people. They are so excited. They really think that after a few years without success, this is the year to come back. No-one has doubts. That was a complete surprise to me, yet from my point of view, it was great to see all that optimism, and I feel more ambitious now - a completely new man. Sometimes after a tough season and when the winter arrives, you want to test as late as possible, to be on your holidays as much as you can. But now it's the opposite. I want to be in the car. I feel like when I arrived in Formula One six years ago. I just want to drive.”

Fernando Alonso (1981) Spanish racing driver

About joining a McLaren team that failed to win a grand prix the previous season for the first time in a decade. http://www.planet-f1.com/News/Story_Page/0,15909,3210_3463_1842865,00.html (January 16, 2007)

People, Cars, Feeling, Optimism

“We lived one year in a suburb so new it was still being built in fields of red clay: a neat grid of streets named after songbirds was being dropped like a lattice of dough over a pie. Up and down Robin and Tanager and Bluebird I raced my bike; in a storm I pedaled so fast I hoped to catch up with the wind-driven rain. As I sped into the riddling wet warmth I shook my right hand according to a magical formula of my own. The universe, signaled by its master, groaned, revolved, released a flash of lightning. At last the imagination, like a mold on an orange, was covering the globe of my mind.”

Edmund White book A Boy's Own Story

Source: A Boy's Own Story (1982), Chapter Three (p. 81).

Hope, Imagination, Universe

“Texans don’t bury their failures. They get inspired by them. They take their failures and turn them into rallying cries. Failure inspires Texans to become winners. But that formula is not just the formula for Texans. It is the formula for all winners.”

Robert T. Kiyosaki (1947) American finance author , investor

Rich Dad Poor Dad: What the Rich Teach Their Kids About Money-That the Poor and the Middle Class Do Not!

Failure

“Scientology, the word means study of life, study of knowledge, and that's where it is. It takes up all areas of life itself, things that are integral and maxims that are related to life and very existence. Let me give you an example. It's better if I take that, because it is such a broad-ranging subject covering so many different areas, the subject of communication. This is something that major breakthroughs exist in Scientology, being able to communicate in the world around you. And I think everybody would agree that this is an important subject. Well, there's an actual formula for communication which can be understood.”

David Miscavige (1960) leader of the Church of Scientology

Scientology Leader Gave ABC First-Ever Interview: David Miscavige, Scientology Leader and Best Man at Tom Cruise's Wedding, Spoke to ABC News' 'Nightline' in 1992, ABC News, November 18, 2006, 2010-07-03 http://abcnews.go.com/print?id=2664713,.

Life, World, Communication, Knowledge

“It is futile to speak of liberty as long as economic slavery exists.
"Speak not of liberty — poverty is slavery!" is not a vain formula; it has penetrated into the ideas of the great working-class masses; it filters through all the present literature; it even carries those along who live on the poverty of others, and takes from them the arrogance with which they formerly asserted their rights to exploitation.”

Peter Kropotkin (1842–1921) Russian zoologist, evolutionary theorist, philosopher, scientist, revolutionary, economist, activist, geogr…

Anarchism: Its Philosophy and Ideal (1896)

Literature, Idea

“In this book I am concerned with certain kinds of communication: communication between parents and children, between associates of the same status, between members of different societies and, through the mediation of various kinds of coding—tools, art, script, formulas, film—between cultures distant from each other in time and place. I shall be concerned to show that we must deal not only with evolutionary sequences, in which our ability to articulate and codify parts of the culture enormously increases our ability to intervene in the cultural process, but also with the coexistence at any period of history of earlier forms of communication side by side with later ones.”

Margaret Mead (1901–1978) American anthropologist

Source: 1960s, Continuities in Cultural Evolution (1964), p. xxxi

Children, Books, Art, History

“Nietzsche … explicates his preferred distinction between good and bad individuals as non-condemnatory of the latter. A ‘bad person’ is merely devoid of what Nietzsche personally considers to be noble or virtuous qualities; he is not morally evil. Nietzsche’s aim is … to defuse morality of reactive emotion. … It would be futile, tactless, and cruel, he suggests, to try to change a bad person, one with whom one does not empathize; his formula advises: ‘Where you cannot love, pass by’. No on should be blamed for what he is; there is no point in lamenting fate.”

John Carroll (1944) Australian professor and author

Source: Break-Out from the Crystal Palace (1974), p. 91

Love, Fate, Evil, Change

“Dostoevsky believed that the gods of rationalism and materialist utilitarianism had joined in conspiracy against all other ethical systems. … The accumulation of capital, or the acquisition of money, are endeavors par excellence which establish a quantifiable goal: hence they are directly amenable to maximization formulae.”

John Carroll (1944) Australian professor and author

Source: Break-Out from the Crystal Palace (1974), p. 149

Money, God

“Religious ritual survives cultural transmission by embedding episodes of intense, life-defining personal experiences in public performances. These performances involve sequential, socially interactive movement and gesture (chant, dance, murmur, sway) and formulaic utterances that rhythmically synchronize affective states among group members in displays of cooperative commitment. This is often accompanied by sensory pageantry, which further helps to emotionally validate and sustain the moral consensus.”

Scott Atran (1952) Anthropologist

Introduction: an evolutionary riddle, p. 16
In Gods We Trust: The Evolutionary Landscape of Religion (2002)

Life, Help, Dance, Personality

“He's scattered, his sentences trail off, he sighs frequently, as though he's so intelligent he's always frustrated by the formulaic nature of speech (each sentence a ride you can't get off once the attendant buckles you into the car).”

Edmund White (1940) American novelist and LGBT essayist

Portland and Seattle (p. 80).
States of Desire: Travels in Gay America (1980)

Cars, Intelligence, Nature

“The function just found cannot, it is true, express rigorously the probabilities of the errors: for since the possible errors are in all cases confined within certain limits, the probability of errors exceeding those limits ought always to be zero, while our formula always gives some value. However, this defect, which every analytical function must, from its nature, labor under, is of no importance in practice, because the value of our function decreases so rapidly… that it can safely be considered as vanishing. Besides, the nature of the subject never admits of assigning with absolute rigor the limits of error.”

Carl Friedrich Gauss (1777–1855) German mathematician and physical scientist

Theoria motus corporum coelestium in sectionibus conicis solem ambientum (1809) Tr. Charles Henry Davis as Theory of the Motion of the Heavenly Bodies moving about the Sun in Conic Sections http://books.google.com/books?id=cspWAAAAMAAJ& (1857)

Error, Nature

“It is terrible to see how a single unclear idea, a single formula without meaning, lurking in a young man’s head, will sometimes act like an obstruction … in an artery, hindering the nutrition of the brain, and condemning its victim to pine away in the fullness of his intellectual vigor and in the midst of intellectual plenty.”

Charles Sanders Peirce (1839–1914) American philosopher, logician, mathematician, and scientist

"How to make our ideas clear,” Popular Science Monthly, Vol. 12 (January 1878)

Idea

“The science of anti-Semitism finally comes to explain this phenomenon, enlightening further the consciousness of people, fully satisfying their instinct and its violent eruptions thus legitimized by revealing their cause - the parasitism of the Jews. Thus it gives us the formula of the scientific solution for the problem of Judaism, which in order to realize we have only to apply.”

A.C. Cuza (1857–1947) Romanian politician

From "Ştiinţa antisemitismului" ("The Science of Anti-Semitism"), Apararea Nationala ("The National Defense") No. 16, Nov. 15, 1922, lst year.

People, Problem, Science

“[Oddly enough, Putnam believes part of the attraction of some of these formalisms is their obscurity]. "I think part of the appeal of mathematical logic is that the formulas look mysterious - you write backward Es!"”

Hilary Putnam (1926–2016) American philosopher

Putnam as quoted in: Julian Baggini, Jeremy Stangroom (2005) What Philosophers Think. p. 233

Mathematics, Thinking, Parting

“I don’t like making didactic, pedagogical documentaries based on standard formulas of narration: I'm only interested in the ambitious French tradition of the documentaire de création where the film, if successful, is not about something but that something itself. The goal is to incorporate areas of risk and paradox that we associate with cinematic art.”

Damian Pettigrew Canadian filmmaker

On the documentary art film, Le Parisien (May, 2003)

Art, Success

“There is this great danger in student life. Now, we rest all upon what Socrates said, or what Copernicus taught; how can we dispute authority which has come down to us, all established, for ages? We must at least question it; we cannot accept anything as granted, beyond the first mathematical formulae. Question everything else.”

Maria Mitchell (1818–1889) American astronomer

Maria Mitchell: Life, Letters and Journals (illustrated) by Maria Mitchell, 1896, p. 188.

Life, Age, Mathematics, Question

“Beauty cannot be defined by abscissas and ordinates; neither are circles and ellipses created by their geometrical formulas.”

Carl von Clausewitz book On War

On War (1832), Book 3

Beauty

“The same ‘ practical’ viewpoint is dominant in Marx’ s conception of the cognitive functions of the mind and its role in the historical process; ‘ practical’ is always regarded as implying ‘ social’, and ‘ social life is practical by its very essence’. So is the task of philosophy as defined in the eleventh Thesis, in what are perhaps Marx’ s most-quoted words: ‘ The philosophers have only interpreted the world in various ways; the point, however, is to change it.’ It would be a caricature of Marx’ s thought to read this as meaning that it was not important to observe or analyse society and that only direct revolutionary action mattered. The whole context shows that it is a formula expressing in a nutshell the viewpoint of ‘ practical philosophy’ as opposed to the ‘ contemplative’ attitude of Hegel or Feuerbach – the viewpoint which Hess, and through him Cieszkowski, suggested to Marx and which became the philosophical nucleus of Marxism. To understand the world does not mean considering it from outside, judging it morally or explaining it scientifically; it means society understanding itself, an act in which the subject changes the object by the very fact of understanding it.”

Leszek Kolakowski (1927–2009) Philosopher, historian of ideas

Source: Main Currents Of Marxism (1978), Three Volume edition, Volume I, The Founders, pp. 143-4

Life, World, Way, Quotes

“Ouspensky records a conversation in St. Petersburg during the summer of 1916 in which Gurdjieff discussed the problem of communication, and the impossibility of conveying in our ordinary language ideas which are intelligible and obvious only for a higher state of consciousness. Speaking of the unity between man, the Universe, and God, he said that the objective knowledge by which alone this unity is to be understood can never be expressed in words or logical forms. At this point, Gurdjieff made a statement which is a key to the understanding of his own subsequent writings. He said:

Realising the imperfection and weakness of ordinary language, the people who have possessed objective knowledge have tried to express the idea of unity in ‘myths,’ in ‘symbols,’ and in particular ‘verbal formulas,’ which, having been transmitted without alteration, have carried on the idea from one school to another, often from one epoch to another.

In All and Everything Gurdjieff makes extensive use of these three forms, that is, symbol, myth, and verbal formula….”

John G. Bennett (1897–1974) British mathematician and author

Gurdjieff’s All and Everything (1950)

God, People, School, Intelligence

“[T]he astronomical data give the number N of nebulae counted out to a given inferred "distance" d, and in order to determine the curvature… we must express N, or equivalently V, to which it is assumed proportional, in terms of d. …from the second of formulae (3) and… (4)… to the approximation here adopted, 5)V = \frac{4}{3} \pi d^2 (1 + \frac{3}{10} K d^2 + …);…plotting N against… d and comparing… with the formula (5), it should be possible operationally to determine the "curvature" K.”

Howard P. Robertson (1903–1961) American mathematician and physicist

Geometry as a Branch of Physics (1949)

“Naturally man tended to lose his sense of scale and relation. A straight line, or a combination of straight lines, may have still a sort of artistic unity, but what can be done in art with a series of negative symbols? Even if the negative were continuous, the artist might express at least a negation; but supposing that Omar's kinetic analogy of the ball and the players turned out to be a scientific formula! supposing that the highest scientific authority, in order to obtain any unity at all, had to resort to the middle-ages for an imaginary demon to sort his atoms! how could art deal with such problems, and what wonder that art lost unity with philosophy and science! Art had to be confused in order to express confusion; but perhaps it was truest, so.”

Henry Adams (1838–1918) journalist, historian, academic, novelist

Adams alludes to a well-known passage from the Rubaiyat of Omar Khayyam. In Edward FitzGerald's translation:The Ball no Question makes of Ayes and Noes,
But Right and Left as strikes the Player goes;
And He that toss'd Thee down into the Field,
He knows about it all — HE knows — HE knows!
Mont Saint Michel and Chartres (1904)

Age, Art, Nature, Problem