Quotes about formula
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Bernie Ecclestone photo

“The banks don't have anything - no rights whatsoever. The banks are shareholders of SLEC, and SLEC has no rights. … I am the CEO of Formula One Management and Formula One Administration, which runs the business in F1. From this point of view, I own F1.”

Bernie Ecclestone (1930) British business magnate

Financial Times. November 23, 2004
Bernie Ecclestone responding to the banks holding a trial to determine if he should continue controlling Formula One Holdings and its subsidiares including Formula One Management.

Gustav Stresemann photo

“The conquest of Riga is of the greatest importance not only from the military, but also form the political point of view… Our military situation was never more glorious than it is at present. Meanwhile, there is also the U-boat war, which is taking its course. The destruction of enemy tonnage that was expected of it on the basis of official predictions, has not only been achieved, but partly exceeded by more than half…Time is working for us. Britain to-day is fighting the war with a watch in her hand, and it is in this that I see the fundamentally decisive effect of the U-boat weapon for us and the approach of peace…If we are to achieve anything through compromise and understanding, then the Government must not be forced to make any statements renouncing something from the outset. For this reason the tactics by which it has been and is still being tried to make the Government declare its disinterestedness in Belgium, are wrong. Even those who share the attitude of Herr Scheidemann ought to fight for the last stone in Belgium, in order to exploit to the utmost that which possession has made into a dead pledge…However, the fact that we are going to have peace—and, we hope, soon—will in my conviction be due, apart from our military achievements, to the effects of unrestricted U-boat warfare, of which I have repeatedly said before the Main Committee that while I reject the formula that it will force Britain to her knees, I believe as firmly in the formula that it will force Britain to the conference table.”

Gustav Stresemann (1878–1929) German politician, statesman, and Nobel Peace Prize laureate

Speech in the Reichstag (October 1917), quoted in W. M. Knight-Patterson, Germany. From Defeat to Conquest 1913-1933 (London: George Allen and Unwin, 1945), p. 121
1910s

Charles Sanders Peirce photo

“Be it understood, then, that what we have to do, as students of phenomenology, is simply to open our mental eyes and look well at the phenomenon and say what are the characteristics that are never wanting in it, whether that phenomenon be something that outward experience forces upon our attention, or whether it be the wildest of dreams, or whether it be the most abstract and general of the conclusions of science.
The faculties which we must endeavor to gather for this work are three. The first and foremost is that rare faculty, the faculty of seeing what stares one in the face, just as it presents itself, unreplaced by any interpretation, unsophisticated by any allowance for this or for that supposed modifying circumstance. This is the faculty of the artist who sees for example the apparent colors of nature as they appear. When the ground is covered by snow on which the sun shines brightly except where shadows fall, if you ask any ordinary man what its color appears to be, he will tell you white, pure white, whiter in the sunlight, a little greyish in the shadow. But that is not what is before his eyes that he is describing; it is his theory of what ought to be seen. The artist will tell him that the shadows are not grey but a dull blue and that the snow in the sunshine is of a rich yellow. That artist's observational power is what is most wanted in the study of phenomenology. The second faculty we must strive to arm ourselves with is a resolute discrimination which fastens itself like a bulldog upon the particular feature that we are studying, follows it wherever it may lurk, and detects it beneath all its disguises. The third faculty we shall need is the generalizing power of the mathematician who produces the abstract formula that comprehends the very essence of the feature under examination purified from all admixture of extraneous and irrelevant accompaniments.”

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

Lecture II : The Universal Categories, § 1 : Presentness, CP 5.41 - 42
Pragmatism and Pragmaticism (1903)

“We have a certainty about God and his ways that leads us to replace the mystery of faith with manageable spiritual formulas.”

The Divine Commodity: Discovering A Faith Beyond Consumer Christianity (2009, Zondervan)

Salvador Dalí photo

“But I very early realized, instinctively, my life formula: to get others to accept as natural the excesses of one's personality an thus to relieve oneself of his own anxieties by creating a sort of collective participation.”

Salvador Dalí (1904–1989) Spanish artist

as cited in The Unspeakable confessions of Salvador Dali, Parinaud, ed. W. H. Allen, London 1976, p. 17
Quotes of Salvador Dali, 1971 - 1980, Comment on deviant Dali, les aveux inavouables de Salvador Dali

Ernest Becker photo
Robert Musil photo

“Questions and answers click into each other like cogs of a machine. Each person has nothing but quite definite tasks. The various professions are concentrated at definite places. One eats while in motion. Amusements are concentrated in other parts of the city. And elsewhere again are the towers to which one returns and finds wife, family, gramophone, and soul. Tension and relaxation, activity and love are meticulously kept separate in time and are weighed out according to formulae arrived at in extensive laboratory work. If during any of these activities one runs up against a difficulty, one simply drops the whole thing; for one will find another thing or perhaps, later on, a better way, or someone else will find the way that one has missed. It does not matter in the least, but nothing wastes so much communal energy as the presumption that one is called upon not to let go of a definite personal aim. In a community with energies constantly flowing through it, every road leads to a good goal, if one does not spend too much time hesitating and thinking it over. The targets are set up at a short distance, but life is short too, and in this way one gets a maximum of achievement out of it. And man needs no more for his happiness; for what one achieves is what moulds the spirit, whereas what one wants, without fulfillment, only warps it. So far as happiness is concerned it matters very little what one wants; the main thing is that one should get it. Besides, zoology makes it clear that a sum of reduced individuals may very well form a totality of genius.”

The Man Without Qualities (1930–1942)

Remy de Gourmont photo

“Art must break the chains, all rules and formulas.”

Remy de Gourmont (1858–1915) French writer

L'Idealisme esaay in Le Chemin de Velours 1902
Other

C. Wright Mills photo
Florian Cajori photo
Andrei Sakharov photo

“A thermonuclear war cannot be considered a continuation of politics by other means (according to the formula of Clausewitz). It would be a means of universal suicide.”

Andrei Sakharov (1921–1989) Soviet nuclear physicist and human rights activist

Progress, Coexistence and Intellectual Freedom (1968), Dangers, The Threat of Nuclear War

Thomas Carlyle photo

“It is now almost my sole rule of life to clear myself of cants and formulas, as of poisonous Nessus shirts.”

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

Letter to His Wife (1835).
1830s

Ethan Hawke photo
Maria Mitchell photo

“Every formula which expresses a law of nature is a hymn of praise to God.”

Maria Mitchell (1818–1889) American astronomer

Maria Mitchell: Life, Letters and Journals http://www.gutenberg.org/cache/epub/10202/pg10202.html (1896).

Fernand Léger photo
William John Macquorn Rankine photo

“In treating of the practical application of scientific principles, an algebraical formula should only be employed when its shortness and simplicity are such as to render it a clearer expression of a proposition or rule than common language would be, and when there is no difficulty in keeping the thing represented by each symbol constantly before the mind.”

William John Macquorn Rankine (1820–1872) civil engineer

"On the Harmony of Theory and Practice in Mechanics" (Jan. 3, 1856)
Context: In treating of the practical application of scientific principles, an algebraical formula should only be employed when its shortness and simplicity are such as to render it a clearer expression of a proposition or rule than common language would be, and when there is no difficulty in keeping the thing represented by each symbol constantly before the mind.<!--p. 177

Benjamin N. Cardozo photo

“We seek to find peace of mind in the word, the formula, the ritual. The hope is an illusion.”

Benjamin N. Cardozo (1870–1938) United States federal judge

Pages 66 http://books.google.com/books?id=LGLuAAAAMAAJ&q=%22We+seek+to+find+peace+of+mind+in+the+word+the%22&pg=PA66#v=onepage – 67 http://books.google.com/books?id=LGLuAAAAMAAJ&q=%22formula+the+ritual+The+hope+is+an+illusion%22&pg=PA67#v=onepage
Other writings, The Growth of the Law (1924)
Context: Magic words and incantations are as fatal to our science as they are to any other. Methods, when classified and separated, acquire their true bearing and perspective as a means to an end, not as ends in themselves. We seek to find peace of mind in the word, the formula, the ritual. The hope is an illusion.

Adlai Stevenson photo

“The knowledge he has acquired with age is not the knowledge of formulas, or forms of words, but of people, places, actions — a knowledge not gained by words but by touch, sight, sound, victories, failures, sleeplessness, devotion, love — the human experiences and emotions of this earth and of oneself and other men; and perhaps, too, a little faith, and a little reverence for things you cannot see.”

Adlai Stevenson (1900–1965) mid-20th-century Governor of Illinois and Ambassador to the UN

Address at Princeton University, "The Educated Citizen" (22 March 1954) http://infoshare1.princeton.edu/libraries/firestone/rbsc/mudd/online_ex/stevenson/adlai1954.html
Context: What a man knows at fifty that he did not know at twenty is, for the most part, incommunicable. The laws, the aphorisms, the generalizations, the universal truths, the parables and the old saws — all of the observations about life which can be communicated handily in ready, verbal packages — are as well known to a man at twenty who has been attentive as to a man at fifty. He has been told them all, he has read them all, and he has probably repeated them all before he graduates from college; but he has not lived them all.
What he knows at fifty that he did not know at twenty boils down to something like this: The knowledge he has acquired with age is not the knowledge of formulas, or forms of words, but of people, places, actions — a knowledge not gained by words but by touch, sight, sound, victories, failures, sleeplessness, devotion, love — the human experiences and emotions of this earth and of oneself and other men; and perhaps, too, a little faith, and a little reverence for things you cannot see.

John D. Barrow photo
Andrew Sullivan photo

“Conservatism — from Burke and Hume to Hayek and Oakeshott — has always been, at its core, a critique of ideology in favor of reality. The world is as it is, the conservative argues. Any attempt to drastically overhaul it, to impose a utopian vision onto a messy, evolving human landscape will not just fail, it will likely make things worse. To pretend that the present exists for no good reason — and can be repealed or transformed in an instant — is a formula for ruin.”

Andrew Sullivan (1963) Journalist, writer, blogger

"The Triumph of Obama’s Long Game" in New York magazine (21 July 2017) http://nymag.com/daily/intelligencer/2017/07/the-triumph-of-obamas-long-game.html
Context: Conservatism — from Burke and Hume to Hayek and Oakeshott — has always been, at its core, a critique of ideology in favor of reality. The world is as it is, the conservative argues. Any attempt to drastically overhaul it, to impose a utopian vision onto a messy, evolving human landscape will not just fail, it will likely make things worse. To pretend that the present exists for no good reason — and can be repealed or transformed in an instant — is a formula for ruin. The leftist vision of perfect “social justice” is therefore as illusory and as pernicious as the reactionary’s dream of restoring a mythical past. And the great virtue of America’s deeply conservative Constitution is that it throws so many obstacles in the way of radical, ideological change — to the left or right — that it limits the harm that humans can do to themselves in moments of passion or certainty or in search of ideological perfection.

Oliver Wendell Holmes Jr. photo
Andrew Dickson White photo

“Even before Melanchthon sank into his grave, he was dismayed at seeing Lutheranism stiffen into dogmas and formulas, and heartbroken by a persecution from his fellow-Protestants more bitter than anything he had ever experienced from Catholics.”

Andrew Dickson White (1832–1918) American politician

White here cites A. Harnack, Address Before the University of Berlin (1897), pp.16 and following
Source: Seven Great Statesmen in the Warfare of Humanity with Unreason (1915), p. 114

Northrop Frye photo

“The use of cliché [is] the use of ready-made, prefabricated formulas designed to give those who are too lazy think the illusion of thinking”

Northrop Frye (1912–1991) Canadian literary critic and literary theorist

"Quotes", The Educated Imagination (1963), Talk 6: The Vocation of Eloquence
Context: The use of cliché [is] the use of ready-made, prefabricated formulas designed to give those who are too lazy think the illusion of thinking... If our aim is only to say what gets by in society, our reactions will become almost completely mechanical. That's the direction cliché takes us in... it's no more a product of a conscious mind than the bark of a dog.

Benjamin Peirce photo

“I presume that to the uninitiated the formulae will appear cold and cheerless; but let it be remembered that, like other mathematical formulae, they find their origin in the divine source of all geometry.”

Preface.
Linear Associative Algebra (1882)
Context: I presume that to the uninitiated the formulae will appear cold and cheerless; but let it be remembered that, like other mathematical formulae, they find their origin in the divine source of all geometry. Whether I shall have the satisfaction of taking part in their exposition, or whether that will remain for some more profound expositor, will be seen in the future.

Alan Watts photo

“There is no formula for generating the authentic warmth of love. It cannot be copied.”

Alan Watts (1915–1973) British philosopher, writer and speaker

The Wisdom of Insecurity (1951)
Context: There is no formula for generating the authentic warmth of love. It cannot be copied. You cannot talk yourself into it or rouse it by straining at the emotions or by dedicating yourself solemnly to the service of mankind. Everyone has love, but it can only come out when he is convinced of the impossibility and the frustration of trying to love himself. This conviction will not come through condemnations, through hating oneself, through calling self love bad names in the universe. It comes only in the awareness that one has no self to love.

Zulfikar Ali Bhutto photo

“By progressive and powerful I do not mean the most dreaded. A dreaded society is not a civilized society. The most progressive and powerful society in the civilized sense, is a society which has recognized its ethos, and come to terms with the past and the present, with religion and science, with modernism and mysticism, with materialism and spirituality; a society free of tension, a society rich in culture. Such a society cannot come with hocus-pocus formulas and with fraud. It has to flow from the depth of a divine search.”

Zulfikar Ali Bhutto (1928–1979) Fourth President and ninth Prime Minister of Pakistan

Source: Letter to his daughter (1978), p. 15.
Context: What gift can I give you from this cell out of which my hand cannot pass? I give you the hand of the people. What celebration can I hold for you? I give you the celebration of a celebrated memory and a celebrated name. You are the heir to and inheritor of the most ancient civilization. Please make your full contribution to making this ancient civilization the most progressive and the most powerful. By progressive and powerful I do not mean the most dreaded. A dreaded society is not a civilized society. The most progressive and powerful society in the civilized sense, is a society which has recognized its ethos, and come to terms with the past and the present, with religion and science, with modernism and mysticism, with materialism and spirituality; a society free of tension, a society rich in culture. Such a society cannot come with hocus-pocus formulas and with fraud. It has to flow from the depth of a divine search. In other words, a classless society has to emerge but not necessarily a Marxist society. The Marxist society has created its own class structure.

Peter Kropotkin photo

“All this we see, and, therefore, instead of inanely repeating the old formula, "Respect the law," we say, "Despise law and all its Attributes!"”

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

Source: Law and Authority (1886), I
Context: All this we see, and, therefore, instead of inanely repeating the old formula, "Respect the law," we say, "Despise law and all its Attributes!" In place of the cowardly phrase, "Obey the law," our cry, is "Revolt against all laws!"

Haile Selassie photo

“There is no single magic formula, no one simple step, no words, whether written into the Organization's Charter or into a treaty between states, which can automatically guarantee to us what we seek.”

Haile Selassie (1892–1975) Emperor of Ethiopia

Address to the United Nations (1963)
Context: There is no single magic formula, no one simple step, no words, whether written into the Organization's Charter or into a treaty between states, which can automatically guarantee to us what we seek. Peace is a day-to day problem, the product of a multitude of events and judgments. Peace is not an "is", it is a "becoming." We cannot escape the dreadful possibility of catastrophe by miscalculation. But we can reach the right decisions on the myriad subordinate problems which each new day poses, and we can thereby make our contribution and perhaps the most that can be reasonably expected of us in 1963 to the preservation of peace.
It is here that the United Nations has served us — not perfectly, but well.

Joseph Brodsky photo

“The formula for prison is a lack of space counterbalanced by a surplus of time.”

Source: Less Than One: Selected Essays (1986), p. 28
Context: The formula for prison is a lack of space counterbalanced by a surplus of time. This is what really bothers you, that you can't win. Prison is lack of alternatives, and the telescopic predictability of the future is what drives you crazy.

Thomas Merton photo

“Chuang Tzu is not concerned with words and formulas about reality, but with the direct existential grasp of reality in itself.”

Thomas Merton (1915–1968) Priest and author

"A Note To The Reader".
The Way of Chuang-Tzŭ (1965)
Context: I simply like Chuang Tzu because he is what he is and I feel no need to justify this liking to myself or to anyone else. He is far too great to need any apologies from me. … His philosophical temper is, I believe, profoundly original and sane. It can of course be misunderstood. But it is basically simple and direct. It seeks, as does all the greatest philosoph­ical thought, to go immediately to the heart of things.
Chuang Tzu is not concerned with words and formulas about reality, but with the direct existential grasp of reality in itself. Such a grasp is necessarily obscure and does not lend itself to abstract analysis. It can be presented in a parable, a fable, or a funny story about a conversation between two philosophers.

“There is no formula to it because writing every song, for me, is a little journey.”

Enya (1961) Irish singer, songwriter, and musician

The Telegraph interview (2005)
Context: There is no formula to it because writing every song, for me, is a little journey. The first note has to lift you and make you go, 'What's this?' You play C, but why is it that one day it leads to G and it didn't yesterday? I don't know. It's everything. It's the walk you take in the morning, it's the night before, the meeting with people, landscapes, the chats, all of that evolves in some way into melody, but I'm not sure how it's going to happen. I'm dealing with the unknown all the time and that is exciting.

Clive Staples Lewis photo

“We are told that Christ was killed for us, that His death has washed out our sins, and that by dying He has disabled death itself. That is the formula. That is Christianity. That is what has to be believed.”

Book II, Chapter 4, "The Perfect Penitent"
Mere Christianity (1952)
Context: We are told that Christ was killed for us, that His death has washed out our sins, and that by dying He has disabled death itself. That is the formula. That is Christianity. That is what has to be believed. Any theories we build up as to how Christ's death did all this are, in my view, quite secondary: mere plans or diagrams to be left alone if they do not help us, and, if they do help us, not to be confused with the thing itself.

Percival Lowell photo

“Formulae are the anaesthetics of thought, not its stimulants”

Preface
Mars and its Canals (1906)
Context: Formulae are the anaesthetics of thought, not its stimulants and to make any one think is far better worth while than cramming him with ill-considered, and therefore indigestible, learning.

“The strife was stilled, order and unity were restored, as soon as Avogadro's great idea was seen in its true light, and the concept of the molecule was introduced into chemistry. A formula which had required pages of reasoning from a purely chemical standpoint to establish, and that insecurely, was fixed by a single numerical result.”

J. R. Partington (1886–1965) British chemist

Introduction
Higher Mathematics for Chemical Students (1911)
Context: As an instance of the remarkably far-reaching effect which a single mathematico-physical concept has had upon the development of chemical theory, one has but to recall the state of chemistry just before the revival of Avogadro's law by Cannizzaro, to be impressed by its confusion. Relying solely upon their "chemical instinct," the leaders of the various schools of chemical thought had developed each his own theoretical system.... a host of... conceptions strove for supremacy. The strife was stilled, order and unity were restored, as soon as Avogadro's great idea was seen in its true light, and the concept of the molecule was introduced into chemistry. A formula which had required pages of reasoning from a purely chemical standpoint to establish, and that insecurely, was fixed by a single numerical result.

Sri Aurobindo photo

“You cannot shut up God in the limitations of your own narrow brain or dictate to the Divine Power and Consciousness how or where or through whom it shall manifest; you cannot put up your puny barriers against the divine Omnipotence. These again are simple truths which are now being recognised all over the world; only the childish in mind or those who vegetate in some formula of the past deny them.”

Sri Aurobindo (1872–1950) Indian nationalist, freedom fighter, philosopher, yogi, guru and poet

23 October 1929, From a letter to a Muslim disciple
India's Rebirth
Context: You say that you ask only for the Truth and yet you speak like a narrow and ignorant fanatic who refuses to believe in anything but the religion in which he was born. All fanaticism is false, because it is a contradiction of the very nature of God and of Truth. Truth cannot be shut up in a single book, Bible or Veda or Koran, or in a single religion. The Divine Being is eternal and universal and infinite and cannot be the sole property of the Mussulmans or of the Semitic religions only, — those that happened to be in a line from the Bible and to have Jewish or Arabian prophets for their founders. Hindus and Confucians and Taoists and all others have as much right to enter into relation with God and find the Truth in their own way. All religions have some truth in them, but none has the whole truth; all are created in time and finally decline and perish. Mahomed himself never pretended that the Koran was the last message of God and there would be no other. God and Truth outlast these religions and manifest themselves anew in whatever way or form the Divine Wisdom chooses. You cannot shut up God in the limitations of your own narrow brain or dictate to the Divine Power and Consciousness how or where or through whom it shall manifest; you cannot put up your puny barriers against the divine Omnipotence. These again are simple truths which are now being recognised all over the world; only the childish in mind or those who vegetate in some formula of the past deny them. You have insisted on my writing and asked for the Truth and I have answered. But if you want to be a Mussulman, no one prevents you. If the Truth I bring is too great for you to understand or to bear, you are free to go and live in a half-truth or in your own ignorance. I am not here to convert anyone; I do not preach to the world to come to me and I call no one. I am here to establish the divine life and the divine consciousness in those who of themselves feel the call to come to me and cleave to it and in no others.

Herbert Read photo

“What I am searching for… is some formula that would combine individual initiative with universal values, and that combination would give us a truly organic form.”

Herbert Read (1893–1968) English anarchist, poet, and critic of literature and art

The Origins of Art (1966)
Other Quotes
Context: What I am searching for... is some formula that would combine individual initiative with universal values, and that combination would give us a truly organic form. Form, which we discover in nature by analysis, is obstinately mathematical in its manifestations—which is to say that creation in art requires thought and deliberation. But this is not to say that form can be reduced to a formula. In every work of art it must be re-created, but that too is true of every work of nature. Art differs from nature not in its organic form, but in its human origins: in the fact that it is not God or a machine that makes a work of art, but an individual with his instincts and intuitions, with his sensibility and his mind, searching relentlessly for the perfection that is neither in mind nor in nature, but in the unknown. I do not mean this in an other-worldly sense, only that the form of the flower is unknown to the seed.

Robert H. Jackson photo
Edwin Howard Armstrong photo

“Anyone who has had actual contact with the making of the inventions that built the radio art knows that these inventions have been the product of experiment and work based on physical reasoning, rather than on the mathematicians' calculations and formulae.”

Edwin Howard Armstrong (1890–1954) American electrical engineer and inventor

As quoted in Electronics (2005) by P. Arun, p. 310
Context: Anyone who has had actual contact with the making of the inventions that built the radio art knows that these inventions have been the product of experiment and work based on physical reasoning, rather than on the mathematicians' calculations and formulae. Precisely the opposite impression is obtained from many of our present day text books and publications.

Eric Temple Bell photo

“The pursuit of pretty formulas and neat theorems can no doubt quickly degenerate into a silly vice, but so also can the quest for austere generalities which are so very general indeed that they are incapable of application to any particular.”

Men of Mathematics (1937)
Context: The pursuit of pretty formulas and neat theorems can no doubt quickly degenerate into a silly vice, but so also can the quest for austere generalities which are so very general indeed that they are incapable of application to any particular.<!--1986 ed., p. 488

Gerald James Whitrow photo

“From this exiguous basis, formulae of gravitation more accurate than those of Newton have been derived.”

Gerald James Whitrow (1912–2000) British mathematician

The Structure of the Universe: An Introduction to Cosmology (1949)
Context: The philosophical consequences of the General Theory of Relativity are perhaps more striking than the experimental tests. As Bishop Barnes has reminded us, "The astonishing thing about Einstein's equations is that they appear to have come out of nothing." We have assumed that the laws of nature must be capable of expression in a form which is invariant for all possible transformations of the space-time co-ordinates and also that the geometry of space-time is Riemannian. From this exiguous basis, formulae of gravitation more accurate than those of Newton have been derived. As Barnes points out...

Henri Poincaré photo

“The essential characteristic of reasoning by recurrence is that it contains, condensed, so to speak, in a single formula, an infinity of syllogisms.”

Source: Science and Hypothesis (1901), Ch. I. (1905) Tr. George Bruce Halstead
Context: This procedure is the demonstration by recurrence. We first establish a theorem for n = 1; then we show that if it is true of n - 1, it is true of n, and thence conclude that it is true for all the whole numbers... Here then we have the mathematical reasoning par excellence, and we must examine it more closely.
... The essential characteristic of reasoning by recurrence is that it contains, condensed, so to speak, in a single formula, an infinity of syllogisms.
... to arrive at the smallest theorem [we] can not dispense with the aid of reasoning by recurrence, for this is an instrument which enables us to pass from the finite to the infinite.
This instrument is always useful, for, allowing us to overleap at a bound as many stages as we wish, it spares us verifications, long, irksome and monotonous, which would quickly become impracticable. But it becomes indispensable as soon as we aim at the general theorem...
In this domain of arithmetic,.. the mathematical infinite already plays a preponderant rôle, and without it there would be no science, because there would be nothing general.<!--pp.10-12

Benjamin Peirce photo

“When the formulas admit of intelligible interpretation, they are accessions to knowledge; but independently of their interpretation they are invaluable as symbolical expressions of thought.”

Benjamin Peirce (1809–1880) American mathematician

On the Uses and Transformations of Linear Algebra (1875)
Context: The familiar proposition that all A is B, and all B is C, and therefore all A is C, is contracted in its domain by the substitution of significant words for the symbolic letters. The A, B, and C, are subject to no limitation for the purposes and validity of the proposition; they may represent not merely the actual, but also the ideal, the impossible as well as the possible. In Algebra, likewise, the letters are symbols which, passed through a machinery of argument in accord ance with given laws, are developed into symbolic results under the name of formulas. When the formulas admit of intelligible interpretation, they are accessions to knowledge; but independently of their interpretation they are invaluable as symbolical expressions of thought. But the most noted instance is the symbol called the impossible or imaginary, known also as the square root of minus one, and which, from a shadow of meaning attached to it, may be more definitely distinguished as the symbol of semi-inversion. This symbol is restricted to a precise signification as the representative of perpendicularity in quaternions, and this wonderful algebra of space is intimately dependent upon the special use of the symbol for its symmetry, elegance, and power.

Michael Atiyah photo

“I always want to try to understand why things work. I’m not interested in getting a formula without knowing what it means. I always try to dig behind the scenes, so if I have a formula, I understand why it’s there. And understanding is a very difficult notion”

Michael Atiyah (1929–2019) British mathematician

On an article by Qunta magazine(when asked: Is there one big question that has always guided you?) https://www.quantamagazine.org/michael-atiyahs-mathematical-dreams-20160303
Context: I always want to try to understand why things work. I’m not interested in getting a formula without knowing what it means. I always try to dig behind the scenes, so if I have a formula, I understand why it’s there. And understanding is a very difficult notion. People think mathematics begins when you write down a theorem followed by a proof. That’s not the beginning, that’s the end. For me the creative place in mathematics comes before you start to put things down on paper, before you try to write a formula. You picture various things, you turn them over in your mind. You’re trying to create, just as a musician is trying to create music, or a poet. There are no rules laid down. You have to do it your own way. But at the end, just as a composer has to put it down on paper, you have to write things down. But the most important stage is understanding. A proof by itself doesn’t give you understanding. You can have a long proof and no idea at the end of why it works. But to understand why it works, you have to have a kind of gut reaction to the thing. You’ve got to feel it.

Marguerite Yourcenar photo

“In alchemical treatises, the formula L'Oeuvre au Noir … designates what is said to be the most difficult phase of the alchemist's process, the separation and dissolution of substance.”

Author's note, p. 367
The Abyss (1968)
Context: In alchemical treatises, the formula L'Oeuvre au Noir … designates what is said to be the most difficult phase of the alchemist's process, the separation and dissolution of substance. It is still not clear whether the term applied to daring experiments on matter itself, or whether it was understood to symbolize trials of the mind in discarding all forms of routine and prejudice. Doubtless it signified one or the other meaning alternately, or perhaps both at the same time.

John Tyndall photo

“Christ found the religions of the world oppressed almost to suffocation by the load of formulas piled upon them by the priesthood. He removed the load, and rendered respiration free.”

John Tyndall (1820–1893) British scientist

New Fragments (1892)
Context: Christ found the religions of the world oppressed almost to suffocation by the load of formulas piled upon them by the priesthood. He removed the load, and rendered respiration free. He cared little for forms and ceremonies, which had ceased to be the raiment of man's spiritual life. To that life he looked, and it he sought to restore.<!--pp. 11-12

John Kenneth Galbraith photo

“I react to what is necessary. I would like to eschew any formula.”

John Kenneth Galbraith (1908–2006) American economist and diplomat

Booknotes interview (1994)
Context: I react to what is necessary. I would like to eschew any formula. There are some things where the government is absolutely inevitable, which we cannot get along without comprehensive state action. But there are many things — producing consumer goods, producing a wide range of entertainment, producing a wide level of cultural activity — where the market system, which independent activity is also important, so I react pragmatically. Where the market works, I'm for that. Where the government is necessary, I'm for that. I'm deeply suspicious of somebody who says, "I'm in favor of privatization," or, "I'm deeply in favor of public ownership." I'm in favor of whatever works in the particular case.

Martin Buber photo

“I do not accept any absolute formulas for living. No preconceived code can see ahead to everything that can happen in a man's life.”

Martin Buber (1878–1965) German Jewish Existentialist philosopher and theologian

As quoted in Martin Buber : An Intimate Portrait (1971), p. 56
Context: I do not accept any absolute formulas for living. No preconceived code can see ahead to everything that can happen in a man's life. As we live, we grow and our beliefs change. They must change. So I think we should live with this constant discovery. We should be open to this adventure in heightened awareness of living. We should stake our whole existence on our willingness to explore and experience.

William James photo

“The warring gods and formulas of the various religions do indeed cancel each other, but there is a certain uniform deliverance in which religions all appear to meet.”

William James (1842–1910) American philosopher, psychologist, and pragmatist

Lecture XX, "Conclusions"
1900s, The Varieties of Religious Experience (1902)
Context: Religion must be considered vindicated in a certain way from the attacks of her critics. It would seem that she cannot be a mere anachronism and survival, but must exert a permanent function, whether she be with or without intellectual content, and whether, if she have any, it be true or false.
We must next pass beyond the point of view of merely subjective utility, and make inquiry into the intellectual content itself.
First, is there, under all the discrepancies of the creeds, a common nucleus to which they bear their testimony unanimously?
And second, ought we to consider the testimony true?
I will take up the first question first, and answer it immediately in the affirmative. The warring gods and formulas of the various religions do indeed cancel each other, but there is a certain uniform deliverance in which religions all appear to meet. It consists of two parts: —
1. An uneasiness; and
2. Its solution.
1. The uneasiness, reduced to its simplest terms, is a sense that there is something wrong about us as we naturally stand.
2. The solution is a sense that we are saved from the wrongness by making proper connection with the higher powers.

Michael Atiyah photo
Karl Pearson photo
Ernest King photo
Helena Roerich photo

“Indeed, the most urgent, the most essential task is the education of children and youth... It is usually customary to confuse education with upbringing, but it is time to understand that school education, as it is established in most cases, not only does not contribute to the moral upbringing of youth, but acts inversely. In the Anglo-Saxon countries the schools are occupied mainly with the physical development of youth to the detriment of their mental development. But the excessive enthusiasm for sports leads to the coarsening of character, to mental degeneration, and to new diseases. True, not much better is the situation in home education under the conditions of the modern family. Therefore, it is time to pay most serious attention to the grave and derelict situation of children and youth from the moral point of view. Many lofty concepts are completely out of habitual use, having been replaced by everyday formulas for the easy achievement of the most vulgar comforts and status...The program of education is as broad as life itself. The possibilities for improvement are inexhaustible...We are on the eve of a new approach to and reconstruction of the entire school education... The quantity and speed of new discoveries in all domains of science grow so rapidly that soon contemporary school education will not be able to walk in step with and respond to the new attainments and demands of the time; new methods in the entire system of education will have to be devised...”

Helena Roerich (1879–1955) Russian philosopher

19 April 1938

John Pilger photo
Nicolás Maduro photo
J. Howard Moore photo
Albert Einstein photo

“I am very conscious of the fact that our feelings and strivings are often contradictory and obscure and that they cannot be expressed in easy and simple formulas.”

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

1940s, Why Socialism? (1949)

Albert Einstein photo
Clement Attlee photo
Baruch Spinoza photo
Antonio Moreno photo

“The only real formula for real success is Work and Faith. All may achieve this sort of success for all may work and the only happiness, the only success, is in labor.”

Antonio Moreno (1887–1967) Spanish-American film actor and director

Other rewards do not count, comparatively. The joy of leisure is an illusion. The chief reason for my liking serials for as long as I did was because they kept me constantly at work, whereas feature pictures do permit of a week or more idleness in between.
The True Story of My Life http://www.public.asu.edu/~bruce/Taylor57.txt (November 8 - December 13, 1924)

Vātsyāyana photo
Alex Salmond photo
C. V. Raman photo
Michael Schumacher photo

“I think we lose and we will miss a great champion on the track. He beat all the records so he has the best numbers in Formula One but I think maybe F1 will focus more on sport after that.”

Michael Schumacher (1969) German racing driver

Fernando Alonso, Formula One world champion and rival
BBC SPORT: Thoughts on Schumacher (2006)

Rajinikanth photo
Thomas Young (scientist) photo
David Hilbert photo
Dana Arnold photo
John Allen Paulos photo
John Morley, 1st Viscount Morley of Blackburn photo

“Some think that we are approaching a critical moment in the history of Liberalism. ... We hear of a divergence of old Liberalism and new. ... The terrible new school, we hear, are for beginning operations by dethroning Gladstonian finance. They are for laying hands on the sacred ark. But did any one suppose that the fiscal structure which was reared in 1853 was to last for ever, incapable of improvement, and guaranteed to need no repair? ... Another heresy is imputed to this new school which fixes a deep gulf between the wicked new Liberals and the virtuous old. We are adjured to try freedom first before we try interference of the State. That is a captivating formula, but it puzzles me to find that the eminent statesman who urges us to lay this lesson to heart is strongly in favour of maintaining the control of the State over the Church? But is State interference an innovation? I thought that for 30 years past Liberals had been as much in favour as other people of this protective legislation. ... [O]ther countries have tried freedom and it is just because we have decided that freedom in such a case is only a fine name for neglect, and have tried State supervision, that we have saved our industrial population from the waste, destruction, destitution, and degradation that would otherwise have overtaken them. ... In short, gentlemen, I am not prepared to allow that the Liberty and the Property Defence League are the only people with a real grasp of Liberal principles, that Lord Bramwell and the Earl of Wemyss are the only Abdiels of the Liberal Party.”

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

Annual presidential address to the Junior Liberal Association of Glasgow (10 February 1885), quoted in 'Mr. John Morley At Glasgow', The Times (11 February 1885), p. 10
1880s

“Formula for success: under promise and over deliver.”

Tom Peters (1942) American writer on business management practices
Lev Shestov photo
Nursultan Nazarbayev photo

“I have always been and remain a sincere supporter of the well-known formula – "Economy first, then politics."”

Nursultan Nazarbayev (1940) first president of Kazakhstan

This principle is comprehensive, extending to both domestic and foreign policy of our country. This approach ensured consistency in all spheres of Kazakhstan's development, i.e. from economic reforms to building pragmatic relations with partners in the international arena.
"Speech At Moscow State University" https://www.akorda.kz/en/speeches/external_political_affairs/ext_speeches_and_addresses/speech-of-the-president-of-kazakhstan-nursultan-nazarbayev-at-the-lomonosov-moscow-state-university (2014)

Julius Bahnsen photo

“The longer I live, the more I feel that the simplest formula for the constancy of my fate is: on a lost watch.”

Julius Bahnsen (1830–1881) German philosopher

Quoted by Harry Slochower in "Julius Bahnsen, Philosopher of Heroic Despair, 1830-1881" (1932), The Philosophical Review, 41(4), p. 372

Melanie Perkins photo

“Solve customer problems and make sure that the customer is representative of a large market and then you will have a pretty good formula.”

Melanie Perkins (1987) Australian technology entrepreneur

Source: https://twitter.com/arjunmahadevan/status/1677775875369058304