Quotes about validate (501 quotes) | Quotes of famous people

“So far as it goes, the distinction, between an atrocity and an act of war is valid. An atrocity means an act of terrorism which has no genuine military purpose. One must accept such distinctions if one accepts war at all, which in practice everyone does. Nevertheless, a world in which it is wrong to murder an individual and right to drop a thousand tons of high explosive on a residential area does sometimes make me wonder whether this planet of hours is not a loony-bin made use of by some other planet.”

George Orwell (1903–1950) English author and journalist

"As I Please," Tribune, (31 December 1943)
As I Please (1943–1947)

War , World

“There are all kinds of sources of our knowledge; but none has authority … The fundamental mistake made by the philosophical theory of the ultimate sources of our knowledge is that it does not distinguish clearly enough between questions of origin and questions of validity.”

Karl Popper (1902–1994) Austrian-British philosopher of science

Conjectures and Refutations: The Growth of Scientific Knowledge (1963)

Question , Knowledge

“May the men who hold the destiny of peoples in their hands, studiously avoid anything that might cause the present situation to deteriorate and become even more dangerous. May they take to heart the words of the Apostle Paul: "If it be possible, as much as lieth in you, live peaceably with all men." These words are valid not only for individuals, but for nations as well. May these nations, in their efforts to maintain peace, do their utmost to give the spirit time to grow and to act.”

Albert Schweitzer (1875–1965) French-German physician, theologian, musician and philosopher

The Problem of Peace (1954)

Men , People , Peace , Effort

“…the relatively unconscious man driven by his natural impulses because, imprisoned in his familiar world, he clings to the commonplace, the obvious, the probable, the collectively valid, using for his motto: 'Thinking is difficult. Therefore, let the herd pronounce judgement.”

C.G. Jung (1875–1961) Swiss psychiatrist and psychotherapist who founded analytical psychology

Frequently misquoted as "Thinking is difficult, that's why most people judge" and close variants.
Flying Saucers: A Modern Myth of Things Seen in the Sky. (1959), C.G. Jung, R.F.C. Hull (translator) (Princeton Press, 1979, ISBN 9780691018225

World , Nature , Thinking

“There is only one valid definition of a business purpose: to create a customer.”

Peter F. Drucker (1909–2005) American business consultant

Source: 1930s- 1950s, The Practice of Management (1954), p. 37

Business

“History has no more validity than a novel.”

David Lane (white nationalist) (1938–2007) American white supremacist, convicted felon

Revolution by Number

History

“If any female feels she need anything beyond herself to legitimate and validate her existence, she is already giving away her power to be self-defining, her agency.”

Bell Hooks (1952) American author, feminist, and social activist

Source: Feminism is for Everybody: Passionate Politics

Feeling

“Wide acceptance of an idea is not proof of its validity.”

Dan Brown book The Lost Symbol

Source: The Lost Symbol

Idea

“Experience is, for me, the highest authority. The touchstone of validity is my own experience. No other person's ideas, and none of my own ideas, are as authoritative as my experience. It is to experience that I must return again and again, to discover a closer approximation to truth as it is in the process of becoming in me. Neither the Bible nor the prophets -- neither Freud nor research -- neither the revelations of God nor man -- can take precedence over my own direct experience. My experience is not authoritative because it is infallible. It is the basis of authority because it can always be checked in new primary ways. In this way its frequent error or fallibility is always open to correction.”

Carl R. Rogers (1902–1987) American psychologist

On Becoming a Person (1961)
Source: page 23-24

God , Truth , Way , Error

“Mathematicians have constructed a very large number of different systems of geometry, Euclidean or non-Euclidean, of one, two, three, or any number of dimensions. All these systems are of complete and equal validity. They embody the results of mathematicians' observations of their reality, a reality far more intense and far more rigid than the dubious and elusive reality of physics. The old-fashioned geometry of Euclid, the entertaining seven-point geometry of Veblen, the space-times of Minkowski and Einstein, are all absolutely and equally real. …There may be three dimensions in this room and five next door. As a professional mathematician, I have no idea; I can only ask some competent physicist to instruct me in the facts.
The function of a mathematician, then, is simply to observe the facts about his own intricate system of reality, that astonishingly beautiful complex of logical relations which forms the subject-matter of his science, as if he were an explorer looking at a distant range of mountains, and to record the results of his observations in a series of maps, each of which is a branch of pure mathematics. …Among them there perhaps none quite so fascinating, with quite the astonishing contrasts of sharp outline and shade, as that which constitutes the theory of numbers.”

G. H. Hardy (1877–1947) British mathematician

"The Theory of Numbers," Nature (Sep 16, 1922) Vol. 110 https://books.google.com/books?id=1bMzAQAAMAAJ p. 381

Beauty , Mountain , Mathematics , Idea

“We can deduce, often, from one part of physics like the law of gravitation, a principle which turns out to be much more valid than the derivation.”

Richard Feynman book The Character of Physical Law

Source: The Character of Physical Law (1965), chapter 2, “ The Relation of Mathematics to Physics http://www.youtube.com/watch?v=M9ZYEb0Vf8U” referring to the law of conservation of angular momentum
Context: Now we have a problem. We can deduce, often, from one part of physics like the law of gravitation, a principle which turns out to be much more valid than the derivation. This doesn't happen in mathematics, that the theorems come out in places where they're not supposed to be!

Law , Parting

“Who will co-ordinate these value scales, and how? Who will create for mankind one system of interpretation, valid for good and evil deeds, for the unbearable and the bearable, as they are differentiated today? Who will make clear to mankind what is really heavy and intolerable and what only grazes the skin locally? Who will direct the anger to that which is most terrible and not to that which is nearer?”

Aleksandr Solzhenitsyn (1918–2008) Russian writer

Nobel lecture (1970)
Context: Who will co-ordinate these value scales, and how? Who will create for mankind one system of interpretation, valid for good and evil deeds, for the unbearable and the bearable, as they are differentiated today? Who will make clear to mankind what is really heavy and intolerable and what only grazes the skin locally? Who will direct the anger to that which is most terrible and not to that which is nearer? Who might succeed in transferring such an understanding beyond the limits of his own human experience? Who might succeed in impressing upon a bigoted, stubborn human creature the distant joy and grief of others, an understanding of dimensions and deceptions which he himself has never experienced? Propaganda, constraint, scientific proof — all are useless. But fortunately there does exist such a means in our world! That means is art. That means is literature.
They can perform a miracle: they can overcome man's detrimental peculiarity of learning only from personal experience so that the experience of other people passes him by in vain. From man to man, as he completes his brief spell on Earth, art transfers the whole weight of an unfamiliar, lifelong experience with all its burdens, its colours, its sap of life; it recreates in the flesh an unknown experience and allows us to possess it as our own.
And even more, much more than that; both countries and whole continents repeat each other's mistakes with time lapses which can amount to centuries. Then, one would think, it would all be so obvious! But no; that which some nations have already experienced, considered and rejected, is suddenly discovered by others to be the latest word. And here again, the only substitute for an experience we ourselves have never lived through is art, literature. They possess a wonderful ability: beyond distinctions of language, custom, social structure, they can convey the life experience of one whole nation to another. To an inexperienced nation they can convey a harsh national trial lasting many decades, at best sparing an entire nation from a superfluous, or mistaken, or even disastrous course, thereby curtailing the meanderings of human history.

Evil , Anger

“… logical validity is not a guarantee of truth.”

David Foster Wallace book Infinite Jest

Source: Infinite Jest

Truth

“Today I suddenly experienced an absurd but quite valid sensation. I realized, in an intimate lightning flash, that I am no one. No one, absolutely no one.”

Fernando Pessoa (1888–1935) Portuguese poet, writer, literary critic, translator, publisher and philosopher

“To ask me to verify my life by giving you my statistics is like using science to validate sorcery. It robs the world of its magic and makes milestones out of us all.”

Carlos Castaneda (1925–1998) Peruvian-American author

Life , World , Science

“A moral system valid for all is basically immoral.”

Friedrich Nietzsche book Beyond Good and Evil

Generally attributed to Nietzsche, this is a quotation from Curtis Cate's Friedrich Nietzsche: A Biography (2003) and is the author's interpretation of Nietzsche's Aphorism 221 (Beyond Good and Evil)
Misattributed

“Even the asexual has a deviation - his asexuality. It is far more abnormal to have a lack of sexual desire (unless illness or old-age, or another valid reason has caused the wane) than it is to be sexually promiscuous. However, if a Satanist chooses sexual sublimination above overt sexual expression, that is entirely his own affair. In many cases of sexual sublimination (or asexuality), any attempt to emancipate himself sexually would prove devastating to the asexual. Asexuals are invariably sexually sublimated by their jobs or hobbies. All the energy and driving interest which would normally be devoted to sexual activity is channeled into other pastimes or into their chosen occupations. If a person favors other interests over sexual activity, it is his right, and no one is justified in condemning him for it. However, the person should at least recognize the fact that this is a sexual sublimation.”

Anton LaVey book The Satanic Bible

The Satanic Bible (1969)

Age , Personality

“First of all I want to remind you of the essential features of models. In my opinion they are: (i) drawing up a list of the variables to be considered; (ii) drawing up a list of the equations or relations the variables have to obey and (iii) testing the validity of the equations, which implies the estimation of their coefficients, if any. As a consequence of especially (iii) we may have to revise (i) and (ii) so as to arrive at a satisfactory degree of realism of the theory embodied in the model. Then, the model may be used for various purposes, that is, for the solution of various problems. The advantages of models are, on one hand, that they force us to present a "complete" theory by which I mean a theory taking into account all relevant phenomena and relations and, on the other hand, the confrontation with observation, that is, reality. Of course these remarks are far from new.”

Jan Tinbergen (1903–1994) Dutch economist

"The Use of Models: Experience," 1969

Problem , Reality , Drawing

“…the old axiom that 'all power corrupts' has doubtful validity, because it derives from our neglect of Plato's advice to find men carefully and train them by methods which make them fit for heroes.”

Oswald Mosley (1896–1980) British politician; founder of the British Union of Fascists

Excerpt from Beyond the Pale by Nicholas Mosley.

Men , Training

“How many times, for instance, have we not heard people speak with all the authority of conviction about the "canine teeth" and "simple stomach" of man, as certain evidence of his natural adaptation for a flesh diet! At least we have demonstrated one fact; that if such arguments are valid, they apply with even greater force to the anthropoid apes—whose "canine" teeth are much longer and more powerful than those of man … And yet, with the solitary exception of man, there is not one of these last which does not in a natural condition absolutely refuse to feed on flesh! M. Pouchet observes that all the details of the digestive apparatus in man, as well as his dentition, constitute "so many proofs of his frugivorous origin"—an opinion shared by Professor Owen, who remarks that the anthropoids and all the quadrumana derive their alimentation from fruits, grains, and other succulent and nutritive vegetable substances, and that the strict analogy which exists between the structure of these animals and that of man clearly demonstrates his frugivorous nature. This is also the view taken by Cuvier, Linnæus, Professor Lawrence, Charles Bell, Gassendi, Flourens, and a great number of other eminent writers.”

Anna Kingsford (1846–1888) English physician, activist and feminist

The Perfect Way in Diet (London: Kegan Paul, Trench & Co., 1881), pp. 13 https://archive.org/stream/perfectwayindie00kinggoog#page/n34-14.

People , Nature , Time , Animals

“[We are now] in a position to judge of the validity of the objection which has been made, that the principle of Natural Selection depends on a succession of favourable chances. The objection is more in the nature of an innuendo than of a criticism, for it depends for its force upon the ambiguity of the word chance, in its popular uses. The income derived from a Casino by its proprietor may, in one sense, be said to depend upon a succession of favourable chances, although the phrase contains a suggestion of improbability more appropriate to the hopes of the patrons of his establishment. It is easy without any very profound logical analysis to perceive the difference between a succession of favourable deviations from the laws of chance, and on the other hand, the continuous and cumulative action of these laws. It is on the latter that the principle of Natural Selection relies.”

Ronald Fisher book The Genetical Theory of Natural Selection

On the objection (still often made by creationists) that the theory of evolution predicts evolution occurs "only by chance", Ch. 2, p. 37.
The Genetical Theory of Natural Selection (1930)

Law , Hope , Nature , Sense

“The main object of study in differential geometry is, at least for the moment, the differential manifolds, structures on the manifolds (Riemannian, complex, or other), and their admissible mappings. On a manifold the coordinates are valid only locally and do not have a geometric meaning themselves.”

Shiing-Shen Chern (1911–2004) mathematician (1911–2004), born in China and later acquiring U.S. citizenship; made fundamental contributio…

[Differential geometry, its past and its future, Actes, Congrès inter. math, 1970, 41–53, http://www.math.harvard.edu/~hirolee/pdfs/2014-fall-230a-icm1970-chern-differential-geometry.pdf]

Study

“I can say with truth that I have never, even in times of greatest preoccupation with carnal, worldly and egotistic pursuits, seriously doubted that our existence here is related in some mysterious way to a more comprehensive and lasting existence elsewhere; that somehow or other we belong to a larger scene than our earthly life provides, and to a wider reach of time than our earthly allotment of three score years and ten…It has never been possible for me to persuade myself that the universe could have been created, and we, homo sapiens, so-called, have, generation after generation, somehow made our appearance to sojourn briefly on our tiny earth, solely in order to mount the interminable soap opera, with the same characters and situations endlessly recurring, that we call history. It would be like building a great stadium for a display of tiddly-winks, or a vast opera house for a mouth-organ recital. There must, in other words, be another reason for our existence and that of the universe than just getting through the days of our life as best we may; some other destiny than merely using up such physical, intellectual and spiritual creativity as has been vouchsafed us. This, anyway, has been the strongly held conviction of the greatest artists, saints, philosophers and, until quite recent times, scientists, through the Christian centuries, who have all assumed that the New Testament promise of eternal life is valid, and that the great drama of the Incarnation which embodies it, is indeed the master drama of our existence. To suppose that these distinguished believers were all credulous fools whose folly and credulity in holding such beliefs has now been finally exposed, would seem to me to be untenable; and anyway I'd rather be wrong with Dante and Shakespeare and Milton, with Augustine of Hippo and Francis of Assisi, with Dr. Johnson, Blake and Dostoevsky, than right with Voltaire, Rousseau, Darwin, the Huxleys, Herbert Spencer, H. G. Wells and Bernard Shaw.”

Malcolm Muggeridge (1903–1990) English journalist, author, media personality, and satirist

Confessions of a Twentieth-Century Pilgrim (1988)

Life , Truth , Fools , Way

“Racism on the rise? You had better believe it! Is this America's frustrations venting themselves? Is it a valid frustration? Who is to blame for the mess? At a point when the world has seen communism falter as an imperfect system to manage people; democracy seems to be headed down the same road. No one is seeing the 'big' picture.”

Timothy McVeigh (1968–2001) American army soldier, security guard, terrorist

1990s, Letter to the Union-Sun & Journal (1992)

People , World , Democracy , Communication

“The invocation of science, of its ground rules, of the exclusive validity of the methods that science has now completely become, now constitutes a surveillance authority punishing free, uncoddled, undisciplined thought and tolerating nothing of mental activity other than what has been methodologically sanctioned. Science and scholarship, the medium of autonomy, has degenerated into an instrument of heteronomy.”

Theodor W. Adorno (1903–1969) German sociologist, philosopher and musicologist known for his critical theory of society

Die Berufung auf Wissenschaft, auf ihre Spielregeln, auf die Alleingültigkeit der Methoden, zu denen sie sich entwickelte, ist zur Kontrollinstanz geworden, die den freien, ungegängelten, nicht schon dressierten Gedanken ahndet und vom Geist nichts duldet als das methodologisch Approbierte. Wissenscahaft,das Medium von Autonomie, ist in einen Apparat der Heteronomie ausgeartet.
Source: Wozu noch Philosophie? [Why still philosophy?] (1963), p. 12

Science

“…to be redeemed to aim at the highest value, to sacrifice what's no longer useful and valid in yourself, and to tell the truth. And the consequence of that is, existence on a deep state of meaning that justifies the tragedy of being and the possibility of transforming your own life, in the most beneficial positive direction, while simultaneously doing that for the people around you. And that's Redemption.”

Jordan Peterson (1962) Canadian clinical psychologist, cultural critic, and professor of psychology

podcast episode 5 ( https://jordanbpeterson.com/podcasts/podcast-episode/episode-5/)
Other

Life , People , Truth

“[The] property right in one's own body must be said to be justified a priori, for anyone who would try to justify any norm whatsoever would already have to presuppose the exclusive right to control over his body as a valid norm simply in order to say "I propose such in such."”

Hans-Hermann Hoppe book The Economics and Ethics of Private Property

The Economics and Ethics of Private Property (2nd edition, Ludwig von Mises Institute: 2006): 335.
The Economics and Ethics of Private Property (1993)

“As for your artificial conception of "splendid & traditional ways of life"—I feel quite confident that you are very largely constructing a mythological idealisation of something which never truly existed; a conventional picture based on the perusal of books which followed certain hackneyed lines in the matter of incidents, sentiments, & situations, & which never had a close relationship to the actual societies they professed to depict... In some ways the life of certain earlier periods had marked advantages over life today, but there were compensating disadvantages which would make many hesitate about a choice. Some of the most literarily attractive ages had a coarseness, stridency, & squalor which we would find insupportable... Modern neurotics, lolling in stuffed easy chairs, merely make a myth of these old periods & use them as the nuclei of escapist daydreams whose substance resembles but little the stern actualities of yesterday. That is undoubtedly the case with me—only I'm fully aware of it. Except in certain selected circles, I would undoubtedly find my own 18th century insufferably coarse, orthodox, arrogant, narrow, & artificial. What I look back upon nostalgically is a dream-world which I invented at the age of four from picture books & the Georgian hill streets of Old Providence.... There is something artificial & hollow & unconvincing about self-conscious intellectual traditionalism—this being, of course, the only valid objection against it. The best sort of traditionalism is that easy-going eclectic sort which indulges in no frenzied pulmotor stunts, but courses naturally down from generation to generation; bequeathing such elements as really are sound, losing such as have lost value, & adding any which new conditions may make necessary.... In short, young man, I have no quarrel with the principle of traditionalism as such, but I have a decided quarrel with everything that is insincere, inappropriate, & disproportionate; for these qualities mean ugliness & weakness in the most offensive degree. I object to the feigning of artificial moods on the part of literary moderns who cannot even begin to enter into the life & feelings of the past which they claim to represent... If there were any reality or depth of feeling involved, the case would be different; but almost invariably the neotraditionalists are sequestered persons remote from any real contacts or experience with life... For any person today to fancy he can truly enter into the life & feeling of another period is really nothing but a confession of ignorance of the depth & nature of life in its full sense. This is the case with myself. I feel I am living in the 18th century, though my objective judgment knows better, & realises the vast difference from the real thing. The one redeeming thing about my ignorance of life & remoteness from reality is that I am fully conscious of it, hence (in the last few years) make allowances for it, & do not pretend to an impossible ability to enter into the actual feelings of this or any other age. The emotions of the past were derived from experiences, beliefs, customs, living conditions, historic backgrounds, horizons, &c. &c. so different from our own, that it is simply silly to fancy we can duplicate them, or enter warmly & subjectively into all phases of their aesthetic expression.”

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

Letter to Frank Belknap Long (27 February 1931), in Selected Letters III, 1929-1931 edited by August Derleth and Donald Wandrei, p. 307
Non-Fiction, Letters, to Frank Belknap Long

Life , Books , Age , World

“Essentially, economic analysis consists of: (1) an understanding of the categories of action and an understanding of the meaning of a change in values, costs, technological knowledge, etc.; (2) a description of a situation in which these categories assume concrete meaning, where definite people are identified as actors with definite objects specified as their means of action, with definite goals identified as values and definite things specified as costs; and (3) a deduction of the consequences that result from the performance of some specified action in this situation, or of the consequences that result for an actor if this situation is changed in a specified way. And this deduction must yield a priori-valid conclusions, provided there is no flaw in the very process of deduction and the situation and the change introduced into it being given, and a priori—valid conclusions about reality if the situation and situation—change, as described, can themselves be identified as real, because then their validity would ultimately go back to the indisputable validity of the categories of action.”

Hans-Hermann Hoppe book A Theory of Socialism and Capitalism

A Theory of Socialism and Capitalism: Economics, Politics, and Ethics (Kluwer: 1989): 118-19.
A Theory of Socialism and Capitalism (1989)

People , Way , Understanding , Knowledge

“If everything must have a cause, then God must have a cause. If there can be anything without a cause, it may just as well be the world as God, so that there cannot be any validity in that argument. It is exactly of the same nature as the Hindu's view, that the world rested upon an elephant and the elephant rested upon a tortoise; and when they said, "How about the tortoise?" the Indian said, "Suppose we change the subject."”

Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist

The argument is really no better than that.
"The First-cause Argument"
1920s, Why I Am Not a Christian (1927)

God , World , Nature , Change

“It is in applied psychology, if anywhere, that today we should be modest and grant validity to a number of apparently contradictory opinions; for we are still far from having anything like a thorough knowledge of the human psyche, that most challenging field of scientific enquiry. For the present we have merely more or less plausible opinions that defy reconciliation.”

C.G. Jung book Modern Man in Search of a Soul

Source: Modern Man in Search of a Soul (1933), p. 57

Knowledge

“Reaching and understanding is the process of bringing about an agreement on the presupposed basis of validity claims that are mutually recognized.”

Jürgen Habermas (1929) German sociologist and philosopher

Source: On the Pragmatics of Communication, 1998, p. 23

Understanding

“Doctors! You know yourself, without the help of any doctors that your case has no foundation! I care not a straw for your Doctors! For every Doctor and Lawyer that upholds your case I could find a thousand that would find our marriage good and valid!”

Catherine of Aragon (1485–1536) first wife of Henry VIII of England (1485–1536)

Alison Weir (1991). The Six Wives of Henry VIII. ISBN 0802136834, p. 213.

Marriage , Help

“Bourgeois sport [wants] to differentiate itself strictly from play. Its bestial seriousness consists in the fact that instead of reamaining faithful to the dream of freedom by getting away from purposiveness, the treatment of play as a duty puts it among useful purposes and thereby wipes out the trace of freedom in it. This is particularly valid for contemporary mass music. It is only play as a repetition of prescribed models, and the playful release from responsibility which is thereby achieved does not reduce at all the time devoted to duty except by transferring the responsibility to the models, the following of which one makes into a duty for himself.”

Theodor W. Adorno (1903–1969) German sociologist, philosopher and musicologist known for his critical theory of society

Source: On the Fetish Character in Music and the Regression of Listening (1938), p. 296

Faith , Dreams , Music , Sport

“When even the brightest mind in our world has been trained up from childhood in a superstition of any kind, it will never be possible for that mind, in its maturity, to examine sincerely, dispassionately, and conscientiously any evidence or any circumstance which shall seem to cast a doubt upon the validity of that superstition. I doubt if I could do it myself.”

Mark Twain book Is Shakespeare Dead?

Is Shakespeare Dead? (1909), §11, as reprinted in Essays and Sketches of Mark Twain (1995), ed. Stuart Miller, ISBN 1566198798

World , Childhood , Sincerity , Training

“My own opinion—which I may as well indicate at the outset—is that pure Anarchism, though it should be the ultimate ideal, to which society should continually approximate, is for the present impossible, and would not survive more than a year or two at most if it were adopted. On the other hand, both Marxian Socialism and Syndicalism, in spite of many drawbacks, seem to me calculated to give rise to a happier and better world than that in which we live. I do not, however, regard either of them as the best practicable system. Marxian Socialism, I fear, would give far too much power to the State, while Syndicalism, which aims at abolishing the State, would, I believe, find itself forced to reconstruct a central authority in order to put an end to the rivalries of different groups of producers. The best practicable system, to my mind, is that of Guild Socialism, which concedes what is valid both in the claims of the State Socialists and in the Syndicalist fear of the State, by adopting a system of federalism among trades for reasons similar to those which are recommending federalism among nations.”

Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist

Introduction, p. 6
1910s, Proposed Roads To Freedom (1918)

World , Fear

“It was inevitable that artists should turn around and question the validity of the fundamental assumption that art aimed at representation; and the moment the question was fairly posed it became clear the pseudo scientific assumption that fidelity to appearance was the measure of art had no logical foundation.”

Roger Fry (1866–1934) English artist and art critic

Lecture to Fabian Soiety 1917 Art and Life from Vision and design by Roger Fry , Forgotten Books , 2012
Art Quotes

Art , Question , Appearance

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

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

Ausdehnungslehre (1844)

Lie , Law , Mathematics , Idea

“Long ago, I made up my mind that when things were said involving only me, I would pay no attention to them, except when valid criticism was carried by which I could profit.”

Eleanor Roosevelt My Day

14 January 1942
My Day (1935–1962)

“[ Fuzzy logic is ] a logic whose distinguishing features are (i) fuzzy truth-values expressed in linguistic terms, e. g., true, very true, more or less true, or somewhat true, false, nor very true and not very false, etc2.; (2) imprecise truth tables; and (3) rules of inference whose validity is relative to a context rather than exact.”

Lotfi A. Zadeh (1921–2017) Electrical engineer and computer scientist

Zadeh (1975) "Fuzzy logic and approximate reasoning". Synthese 30: p. 407
1970s

Truth , Falseness

“[On the lyrics of his songs] They meant a lot to my generation. And it's nice to know you've written songs that mean something to someone rather than some trivial pop dirge. I'm not thriving off a career slagging off the Queen. I think I have something valid to say. My words are my bullets. I like to brag that somehow I got it right.”

John Lydon (1956) English singer, songwriter, and musician

Interview: Seven Magazine in the London Telegraph (6 January 2008)

Thinking

“I proclaim that I believe in nothing and that everything is absurd, but I cannot doubt the validity of my proclamation and I must at least believe in my protest.”

Albert Camus book The Rebel

Source: The Rebel (1951), pp. 8 - 10 as quoted in Albert Camus and the Philosophy of the Absurd';(2002) by Avi Sagi, p. 44
Context: The absurd … is an experience to be lived through, a point of departure, the equivalent, in existence of Descartes' methodical doubt. Absurdism, like methodical doubt, has wiped the slate clean. It leaves us in a blind alley. But, like methodical doubt, it can, by returning upon itself, open up a new field of investigation, and in the process of reasoning then pursues the same course. I proclaim that I believe in nothing and that everything is absurd, but I cannot doubt the validity of my proclamation and I must at least believe in my protest. The first and only evidence that is supplied me, within the terms of the absurdist experience, is rebellion … Rebellion is born of the spectacle of irrationality, confronted with an unjust and incomprehensible condition.

“But the proclamation, as law, either is valid, or is not valid. If it is not valid, it needs no retraction. If it is valid, it can not be retracted, any more than the dead can be brought to life.”

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

1860s, Letter to James C. Conkling (1863)
Context: But the proclamation, as law, either is valid, or is not valid. If it is not valid, it needs no retraction. If it is valid, it can not be retracted, any more than the dead can be brought to life. Some of you profess to think its retraction would operate favorably for the Union. Why better after the retraction, than before the issue? There was more than a year and a half of trial to suppress the rebellion before the proclamation issued, the last one hundred days of which passed under an explicit notice that it was coming, unless averted by those in revolt, returning to their allegiance. The war has certainly progressed as favorably for us, since the issue of the proclamation as before. I know as fully as one can know the opinions of others, that some of the commanders of our armies in the field who have given us our most important successes, believe the emancipation policy, and the use of colored troops, constitute the heaviest blow yet dealt to the rebellion; and that, at least one of those important successes, could not have been achieved when it was, but for the aid of black soldiers. Among the commanders holding these views are some who have never had any affinity with what is called abolitionism, or with republican party politics; but who hold them purely as military opinions. I submit these opinions as being entitled to some weight against the objections, often urged, that emancipation, and arming the blacks, are unwise as military measures, and were not adopted, as such, in good faith.

Life , Law , Dead

“Authority is to be ridiculed, outwitted and avoided. And it's fairly easy to do all three. If you believe in peace, act peacefully; if you believe in love, acting lovingly; if you believe every which way, then act every which way, that's perfectly valid — but don't go out trying to sell your beliefs to the system. You end up contradicting what you profess to believe in, and you set a bum example. If you want to change the world, change yourself.”

Tom Robbins Even Cowgirls Get the Blues

Even Cowgirls Get the Blues (1976)
Context: I set an example. That's all anyone can do. I'm sorry the cowgirls didn't pay better attention, but I couldn't force them to notice me. I've lived most of my entire adult life outside the law, and never have I compromised with authority. But neither have I gone out and picked fights with authority. That's stupid. They're waiting for that; they invite it; it helps keep them powerful. Authority is to be ridiculed, outwitted and avoided. And it's fairly easy to do all three. If you believe in peace, act peacefully; if you believe in love, acting lovingly; if you believe every which way, then act every which way, that's perfectly valid — but don't go out trying to sell your beliefs to the system. You end up contradicting what you profess to believe in, and you set a bum example. If you want to change the world, change yourself.

Love , World , Peace , Way

“The liar is a person who uses the valid designations, the words, in order to make something which is unreal appear to be real.”

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

On Truth and Lie in an Extra-Moral Sense (1873)
Context: The liar is a person who uses the valid designations, the words, in order to make something which is unreal appear to be real. He says, for example, "I am rich," when the proper designation for his condition would be "poor." He misuses fixed conventions by means of arbitrary substitutions or even reversals of names. If he does this in a selfish and moreover harmful manner, society will cease to trust him and will thereby exclude him. What men avoid by excluding the liar is not so much being defrauded as it is being harmed by means of fraud. Thus, even at this stage, what they hate is basically not deception itself, but rather the unpleasant, hated consequences of certain sorts of deception. It is in a similarly restricted sense that man now wants nothing but truth: he desires the pleasant, life-preserving consequences of truth. He is indifferent toward pure knowledge which has no consequences; toward those truths which are possibly harmful and destructive he is even hostilely inclined.

Appearance , Personality

“Many statements paraphrase or extend upon his famous assertions that "everything changes" in ways which arguably diverge from valid translation, and yet have become widely attributed to Heraclitus:
Change is the only constant.
There is nothing permanent except change.”

Heraclitus (-535) pre-Socratic Greek philosopher

Disputed

Way , Change

“Inspiration then information; each validates the other.”

Man Ray (1890–1976) American artist and photographer

"Originals Graphics Multiples" (1973) 
Context: An original is a creation motivated by desire.
Any reproduction of an original is motivated by necessity.
The original is the result of an automatic process, the reproduction, of a mechanical process. In other words: Inspiration then information; each validates the other.
All other considerations are beyond the scope of these statements.
It is marvelous that we are the only species that creates gratuitous forms. To create is divine, to reproduce is human.

“But in the dream the forms are quirked by the peculiar troubles of the dreamer, whereas in myth the problem and solutions shown are directly valid for all mankind.”

Joseph Campbell book The Hero with a Thousand Faces

Source: The Hero with a Thousand Faces (1949), Chapter 1
Context: Dream is personalized myth, myth is depersonalized dream; both myth and dream are symbolic in the same general way of the dynamics of the psyche. But in the dream the forms are quirked by the peculiar troubles of the dreamer, whereas in myth the problem and solutions shown are directly valid for all mankind.

Dreams , Problem

“If, by the virtue of charity or the circumstance of desperation, you ever chance to spend a little time around a Substance-recovery halfway facility like Enfield MA’s state-funded Ennet House, you will acquire many exotic new facts…That certain persons simply will not like you no matter what you do. That sleeping can be a form of emotional escape and can with sustained effort be abused. That purposeful sleep-deprivation can also be an abusable escape. That you do not have to like a person in order to learn from him/her/it. That loneliness is not a function of solitude. That logical validity is not a guarantee of truth. That it takes effort to pay attention to any one stimulus for more than a few seconds. That boring activities become, perversely, much less boring if you concentrate intently on them. That if enough people in a silent room are drinking coffee it is possible to make out the sound of steam coming off the coffee. That sometimes human beings have to just sit in one place and, like, hurt. That you will become way less concerned with what other people think of you when you realize how seldom they do. That there is such a thing as raw, unalloyed, agendaless kindness. That it is possible to fall asleep during an anxiety attack. That concentrating intently on anything is very hard work. That 99% of compulsive thinkers’ thinking is about themselves; that 99% of this self-directed thinking consists of imagining and then getting ready for things that are going to happen to them; and then, weirdly, that if they stop to think about it, that 100% of the things they spend 99% of their time and energy imagining and trying to prepare for all the contingencies and consequences of are never good. In short that 99% of the head’s thinking activity consists of trying to scare the everliving shit out of itself. That it is possible to make rather tasty poached eggs in a microwave oven. That some people’s moms never taught them to cover up or turn away when they sneeze. That the people to be the most frightened of are the people who are the most frightened. That it takes great personal courage to let yourself appear weak. That no single, individual moment is in and of itself unendurable. That other people can often see things about you that you yourself cannot see, even if those people are stupid. That having a lot of money does not immunize people from suffering or fear. That trying to dance sober is a whole different kettle of fish. That different people have radically different ideas of basic personal hygiene. That, perversely, it is often more fun to want something than to have it. That if you do something nice for somebody in secret, anonymously, without letting the person you did it for know it was you or anybody else know what it was you did or in any way or form trying to get credit for it, it’s almost its own form of intoxicating buzz. That anonymous generosity, too, can be abused. That it is permissible to want. That everybody is identical in their unspoken belief that way deep down they are different from everyone else. That this isn’t necessarily perverse. That there might not be angels, but there are people who might as well be angels.”

David Foster Wallace book Infinite Jest

Infinite Jest (1996)

Hurt , Imagination , Housing , Personality

“For each new class which puts itself in the place of one ruling before it, is compelled, merely in order to carry through its aim, to represent its interests the common interest of all the members of society, that is, sality, and represent them as the only rational, universally valid ones. The class making a revolution appears from the very start, if only because it is opposed to a class, not as a class but as the representative of the whole of society; it appears as the whole mass of society confronting the one ruling class.”

Karl Marx book The German Ideology

"Concerning the production of Consciousness"
The German Ideology (1845/46)

Universe , Appearance , Making love

“I don’t believe that anyone should be told that they are not enough or not valid for being their true selves.”

Matkai Burmaster (1992) Film Director and Co-Founder of the Fearless streaming service

Source: Addicted Magazine - https://www.weraddicted.com/matkai-burmaster-wants-us-to-be-fearless-about-our-streaming-and-digital-content-creating/

“I am convinced that God is love, this thought has for me a primitive lyrical validity. When it is present to me, I am unspeakably blissful, when it is absent, I long for it more vehemently than does the lover for his object.”

Sören Kierkegaard book Fear and Trembling

Source: Fear and Trembling

Love , God , Lovers

“There are more valid facts and details in works of art than there are in history books.”

Charlie Chaplin (1889–1977) British comic actor and filmmaker

Books , Art , History

“If the concept of God has any validity or any use, it can only be to make us larger, freer, and more loving.”

James Baldwin book The Fire Next Time

Source: "Letter from a Region of My Mind" in The New Yorker (17 November 1962); republished as "Down at the Cross: Letter from a Region in My Mind" in The Fire Next Time (1963)
Context: If the concept of God has any validity or any use, it can only be to make us larger, freer, and more loving. If God cannot do this, then it is time we got rid of Him.

Love , God

“Any excuse for non-performance, no matter how valid, weakens character.”

Spencer W. Kimball (1895–1985) President of The Church of Jesus Christ of Latter-day Saints

“If ideas and beliefs are to be denied validity outside the geographical and cultural bounds of their origin, Buddhism would be confined to north India, Christianity to a narrow tract in the Middle East and Islam to Arabia.”

Aung San Suu Kyi book Freedom from Fear

Source: Freedom from Fear

Idea

“Before you look for validation in others, try and find it in yourself”

Greg Behrendt (1963) American comedian

“I am convinced that there are genuine and valid levels of perception available with cannabis (and probably with other drugs) which are, through the defects of our society and our educational system, un-available to us without such drugs.”

Lester Grinspoon (1928–2020) American physician

Source: Marihuana Reconsidered

Education

“I don’t need any plastic in my body to validate me as a woman.”

Courtney Love (1964) American punk singer-songwriter, musician, actress, and artist

“The purpose of education is not to validate ignorance but to overcome it”

Lawrence M. Krauss (1954) American physicist

Education

“I try to find meaning anywhere I can. It's the only way I know how to validate my existence.”

Tiffanie DeBartolo (1970) American writer

Source: God-Shaped Hole

Way

“You have a valid complaint, and I do recognize it… but you are reading into things a little bit. Just the same, I will do my best to make horrible things happen to a bunch of white people before something else so graphic hits a minority character.”

Robert Kirkman (1978) American comic book writer

People , Reading

“For us there is no valid definition of socialism other than the abolition of the exploitation of one human being by another.”

Ernesto Che Guevara (1928–1967) Argentine Marxist revolutionary

Afro-Asian Conference (1965)
Context: For us there is no valid definition of socialism other than the abolition of the exploitation of one human being by another. As long as this has not been achieved, if we think we are in the stage of building socialism but instead of ending exploitation the work of suppressing it comes to a halt — or worse, is reversed — then we cannot even speak of building socialism.

“The artist cannot look to others to validate his efforts or his calling. If you don't believe me, ask Van Gogh, who produced masterpiece after masterpiece and never found a buyer in his whole life.”

Steven Pressfield (1943) United States Marine

Source: The War of Art: Break Through the Blocks & Win Your Inner Creative Battles

Life , Effort

“In terms of doing things I take a fairly scientific approach to why things happen and how they happen. I don't know if there's a god or not, but I think religious principles are quite valid.”

Bill Gates (1955) American business magnate and philanthropist

PBS interview with David Frost (November 1995)
1990s

God , Thinking

“Through the years, I have learned there is no harm in charging oneself up with delusions between moments of valid inspiration.”

Steve Martin (1945) American actor, comedian, musician, author, playwright, and producer

Source: Born Standing Up: A Comic's Life

Learning

“I will repeat the following until I am hoarse: it is contagion that determines the fate of a theory in social science, not its validity.”

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

Source: The Black Swan: The Impact of the Highly Improbable

Fate , Science

“If there's only one nation in the sky, shouldn't all passports be valid for it?”

Yann Martel book Life of Pi

Source: Life of Pi

“Just like children, emotions heal when they are heard and validated.”

Jill Bolte Taylor (1959) American neuroscientist

Source: My Stroke of Insight: A Brain Scientist's Personal Journey

Children

“It is the mark of the mind untrained to take its own processes as valid for all men, and its own judgments for absolute truth.”

Aleister Crowley (1875–1947) poet, mountaineer, occultist

Source: Magical and Philosophical Commentaries on The Book of the Law

Men , Truth

“I would like to be judged on the validity of my arguments, not as a victim.”

Ayaan Hirsi Ali book Infidel

Epilogue: The Letter of the Law
Source: Infidel (2007)

“I do a first draft as passionately and as quickly as I can. I believe a story is valid only when it's immediate and passionate, when it dances out of your subconscious. If you interfere in any way, you destroy it.”

Ray Bradbury (1920–2012) American writer

Way , Passion , Dance

“If merely 'feeling good' could decide, drunkenness would be the supremely valid human experience.”

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

Feeling

“If faith cannot be reconciled with rational thinking, it has to be eliminated as an anachronistic remnant of earlier stages of culture and replaced by science dealing with facts and theories which are intelligible and can be validated.”

Erich Fromm (1900–1980) German social psychologist and psychoanalyst

Source: Man for Himself: An Inquiry into the Psychology of Ethics

Faith , Intelligence , Thinking , Science

“If the marriage were valid, she'd be your sister-in-law.”

Cassandra Clare book Clockwork Prince

Source: Clockwork Prince

Marriage , Law , Sister

“As a means of expression, painting must deliver universally valid statements, make allegorical reflections on life, and create new mythologies.”

Stefan Szczesny (1951) German painter and sculptor

Mustique (2002)

Life , Universe , Painting

“Mathematics because of its nature and structure is peculiarly fitted for high school instruction [Gymnasiallehrfach]. Especially the higher mathematics, even if presented only in its elements, combines within itself all those qualities which are demanded of a secondary subject. It engages, it fructifies, it quickens, compels attention, is as circumspect as inventive, induces courage and self-confidence as well as modesty and submission to truth. It yields the essence and kernel of all things, is brief in form and overflows with its wealth of content. It discloses the depth and breadth of the law and spiritual element behind the surface of phenomena; it impels from point to point and carries within itself the incentive toward progress; it stimulates the artistic perception, good taste in judgment and execution, as well as the scientific comprehension of things. Mathematics, therefore, above all other subjects, makes the student lust after knowledge, fills him, as it were, with a longing to fathom the cause of things and to employ his own powers independently; it collects his mental forces and concentrates them on a single point and thus awakens the spirit of individual inquiry, self-confidence and the joy of doing; it fascinates because of the view-points which it offers and creates certainty and assurance, owing to the universal validity of its methods. Thus, both what he receives and what he himself contributes toward the proper conception and solution of a problem, combine to mature the student and to make him skillful, to lead him away from the surface of things and to exercise him in the perception of their essence. A student thus prepared thirsts after knowledge and is ready for the university and its sciences. Thus it appears, that higher mathematics is the best guide to philosophy and to the philosophic conception of the world (considered as a self-contained whole) and of one’s own being.”

Christian Heinrich von Dillmann (1829–1899) German educationist

Source: Die Mathematik die Fackelträgerin einer neuen Zeit (Stuttgart, 1889), p. 40.

Truth , World , School , Law

“I hated myself. I had created nothing, I belonged to nothingness, to the néant, and it seemed to me that my own death was the only thing that I could create; and still, even then, I thought it might accuse everyone who had ever known me. It would validate all my cynicism, it would prove all my solitary selfishness; it would stand, and be remembered, as a final dark victory.”

John Fowles book Daniel Martin

Daniel Martin (1977)

Death , Hate , Victory , Selfishness

“It wasn't money or love that I was looking for. I had a heightened sense of awareness, was set in my ways, impractical and a visionary to boot. My mind was strong like a trap and I didn't need any guarantee of validity.”

Bob Dylan (1941) American singer-songwriter, musician, author, and artist

Source: Chronicles: Vol. One (2004), p. 9

Love , Money , Way , Sense

“In his discussion on slavery Aristotle said that when the shuttle wove by itself and the plectrum played by itself chief workmen would not need helpers nor masters slaves. At the time he wrote, he believed that he was establishing the eternal validity of slavery; but for us today he was in reality justifying the existence of the machine. Work, it is true, is the constant form of man's interaction with his environment, if by work one means the sum total of exertions necessary to maintain life; and the lack of work usually means an impairment of function and a breakdown in organic relationship that leads to substitute forms of work, such as invalidism and neurosis. But work in the form of unwilling drudgery or of that sedentary routine which… the Athenians so properly despised—work in these forms is the true province of machines. Instead of reducing human beings to work-mechanisms, we can now transfer the main part of burden to automatic machines. This potentially… is perhaps the largest justification of the mechanical developments of the last thousand years.”

Lewis Mumford book Technics and Civilization

Source: Technics and Civilization (1934), Ch. 6, sct. 4

Life , Reality , Time , Parting

“Yes, India is the land of the Gods par excellence… The experience of the divine presence in India is within the reach of anyone who searches even a little bit. The temples are full of flowers and offerings, and you only have to flow along with the crowd, melt into it and place yourself in the hands of the Gods. I do not advocate conversion to Hinduism, but I do recommend its inspiration. I told this to the brahmins that took me into their homes. One said, 'Establish your reawakened Paganism on a valid foundation and there'll come a day when it will catch on. It won't be long.”

Christopher Gérard (1962)

As true Pagans, they feel no need to convert anyone.
Pagan Power in Modern Europe (1999)

God , Feeling , Home , Search

“We reduce the complexity of the variety of the world in experiments whose results are validated by their repeatability, and we may build knowledge by the refutation of hypotheses.”

Peter Checkland (1930) British management scientist

Source: Systems Thinking, Systems Practice, 1981, p. 51 cited in: Rosário Macário (2011) Managing Urban Mobility Systems. p. 52

World , Knowledge

“Jazz musicians have some outlaw in them somewhere if they are serious about this music…The is no valid motivation for it other than love– outlaw motivation in a profit-motivated society.”

Mike Zwerin (1930–2010) American jazz musician

La Tristesse de Saint Louis: Swing Under the Nazis, Chapter. 4, 1985, Dictionary of Quotations, Chambers: Edinburgh, U.K, 2005, p. 937

Love , Music , Motivation

“The deepest feminine yearning is to achieve a loving union which, in its development, validates this maturation and simultaneously stimulates and furthers the desire for perfection in others.”

Edith Stein (1891–1942) Jewish-German nun, theologian and philosopher

Essays on Woman (1996), Spirituality of the Christian Woman (1932)

Love , Perfection

“I owe my view of the world to the Bible. To my mind, the Bible's approach is the only valid one. Most philosophies usually go out of date within 20 years.”

Wilhelm Busch (pastor) (1897–1966) German pastor and writer

The world we live in p. 131
Jesus Our Destiny

World

“Originally UML was intended to serve as a specification language. But a specification is primarily intended to describe properties of systems that the system developers want to be valid, but to leave open other properties that are not clear already. Today this is partly achieved by having a semantics that is rather vague (and here we mean imprecise as opposed to not detailed). However, this is not an advantage, as the developer cannot fix this kind of impreciseness within UML, but can adapt the individual interpretation only. Furthermore, to get complete (and therefore executable) UML descriptions, often certain details have to be specified, which the developer does not yet know or wants to leave open to a later phase of development or even implementation. It is an intrinsic problem of executable languages that this kind of over-specification frequently occurs. Instead it would be of some help to have flexible concepts of under-specification to postpone detail decisions to situations, where the decisions can and must be made.”

Bernhard Rumpe (1967) German computer scientist

Bernhard Rumpe (1998) " A Note on Semantics (with an Emphasis on UML) http://sse-tubs.de/~rumpe/publications/papers/RUM98a/RUM98a.pdf." Proceedings of Second ECOOP Workshop on Precise Behavioral Semantics. 1998.

Problem , Decision , Help

“At the heart of multiculturalism lies a radical egalitarianism by which everyone's culture and lifestyle has equal validity and moral stature. The consequence is that people are increasingly unable to make moral distinctions based on behaviour. Instead, minorities of all kinds -- ethnic, religious, sexual -- are not held responsible for their misdeeds because they are perceived as a victim class. So the majority are held responsible instead.”

Melanie Phillips (1951) British journalist

"The Country That Hates Itself" http://www.melaniephillips.com/the-country-that-hates-itself (June 16, 2006)

People , Heart

“I think science and spirituality are one and the same, I don't think they're really different…quantum physics is validating all kinds of spiritual teachings.”

Jennifer Beals (1963) American actress and a former teen model

Interview in The Guardian (8 September 2007) http://www.guardian.co.uk/film/2007/sep/08/features16.theguide3/

Thinking , Science

“All treaties between nations are valid only with the reservation clause: rebus sic stantibus. They do not pledge a State for ever.”

Heinrich von Treitschke (1834–1896) Historian, political writer

Statement (1869), quoted in W. W. Coole (ed.), Thus Spake Germany (London: George Routledge & Sons, 1941), p. 83.

“A: "Your objection to the self-evident has no validity. There is no such thing as disagreement. People agree about everything."
B: "That’s absurd; people disagree constantly, and about all kinds of things."
A: "How can they? There’s nothing to disagree about; no subject matter. After all, nothing exists."
B: "Nonsense. All kinds of things exist, you know that as well as I do."
A: "That’s one. You must accept the existence axiom, even to utter the term “disagreement.” But to continue, I still maintain that disagreement is unreal. How can people disagree when they are unconscious beings who are unable to hold any ideas at all?"
B: "Of course people hold ideas. They are conscious beings. You know that."
A: "There’s another axiom, but even so, why is disagreement about axioms a problem? Why should it suggest that one or more of the parties is mistaken? Perhaps all of the people who disagree about the very same point are equally, objectively right."
B: "That’s impossible. If two ideas contradict each other, they can’t both be right. Contradictions can’t exist in reality. After all, A is A."
Existence, consciousness, identity are presupposed by every statement and by every concept, including that of "disagreement." … In the act of voicing his objection, therefore, the objector has conceded the case. In any act of challenging or denying the three axioms, a man reaffirms them, no matter what the particular content of this challenge. The axioms are invulnerable.
The opponents of these axioms pose as defenders of truth, but it is only a pose. Their attack on the self-evident amounts to the charge. "Your belief in an idea doesn't necessarily make it true; you must prove it, because facts are what they are independent of your beliefs." Every element of this charge relies on the very axioms that these people are questioning and supposedly setting aside.”

Leonard Peikoff (1933) Canadian-American philosopher

Objectivism: The Philosophy of Ayn Rand (1991) ; Dialogue used to show that existence, conciousness, identity, and non-contradiction are axioms, using A as a defender of the axioms, and B as an opponent of the axioms,
1990s

People , Truth , Idea , Question

“Comprehension is neither an arbitrary act nor a passive experience, but a responsible act claiming universal validity. Such knowing is indeed objective in the sense of establishing contact with a hidden reality; a contact that is defined as the condition for anticipating an indeterminate range of yet unknown (and perhaps yet inconceivable) true implications. It seems reasonable to describe this fusion of the personal and the objective as Personal Knowledge. Personal knowledge is an intellectual commitment, and as such inherently hazardous. Only affirmations that could be false can be said to convey objective knowledge of this kind.”

Michael Polanyi (1891–1976) Hungarian-British polymath

Source: Personal Knowledge (1958), p. vii-viii

Knowledge , Reality , Sense , Universe

“THEY who are acquainted with the present state of the theory of Symbolical Algebra, are aware, that the validity of the processes of analysis does not depend upon the interpretation of the symbols which are employed, but solely upon the laws of their combination. Every system of interpretation which does not affect the truth of the relations supposed, is equally admissible, and it is thus that the same process may, under one scheme of interpretation, represent the solution of a question on the properties of numbers, under another, that of a geometrical problem, and under a third, that of a problem of dynamics or optics. This principle is indeed of fundamental importance; and it may with safety be affirmed, that the recent advances of pure analysis have been much assisted by the influence which it has exerted in directing the current of investigation.”

George Boole (1815–1864) English mathematician, philosopher and logician

Source: 1840s, The Mathematical Analysis of Logic, 1847, p. ii: Lead paragraph of the Introduction

Truth , Law , Question , Problem

“These formulae [in (1) and (2) above] may be shown to be valid for a circle or a triangle in the hyperbolic plane… for which K < 0. Accordingly here the perimeter and area of a circle are greater, and the sum of the three angles of a triangle are less, than the corresponding quantities in the Euclidean plane. It can also be shown that each full line is of infinite length, that through a given point outside a given line an infinity of full lines may be drawn which do not meet the given line (the two lines bounding the family are said to be "parallel" to the given line), and that two full lines which meet do so in but one point.”

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

Geometry as a Branch of Physics (1949)

Family

“Pluralism has been central to India’s intellectual and spiritual heritage from ancient times. Respect for all religions and recognition of all religions as equally valid paths to truth constitute a national tradition.”

Shankar Dayal Sharma (1918–1999) Indian politician

In:P.245.
Commissions and Omissions by Indian Presidents and Their Conflicts with the Prime Ministers Under the Constitution: 1977-2001

Truth , Religion , Time

“Once one is caught up into the material world not one person in ten thousand finds the time to form literary taste, to examine the validity of philosophic concepts for himself, or to form what, for lack of a better phrase, I might call the wise and tragic sense of life.”

F. Scott Fitzgerald (1896–1940) American novelist and screenwriter

Letter to his daughter Frances Scott Fitzgerald (5 October 1940)
Quoted, Letters

Life , World , Sense , Time

“Neutrality and objectivity are not the same thing. Neutrality refers to whether science takes a stand; objectivity, to whether science merits claims to reliability. The two need not have anything to do with each other. Certain sciences may be completely "objective" — that is, valid — and yet designed to serve certain political interests.”

Robert N. Proctor (1954) American historian

Source: Value-free science?: Purity and power in modern knowledge, 1991, p. 10

Science

“Leibniz … envisioned real possibility in terms rooted in axiological considerations of evaluative optimality. To be sure, it is clear that one cannot just optimize. … One has to optimize something, some feature or aspect of things. And if this factor is to be something that is qualified, be accepted as self-validating and self-sustaining, then the clearly most promising candidate would seem to be intelligence itself. … The value at issue here with "being for the best" is a matter of being so as intelligent creatures see it—that is from the vantage point of intelligence itself. Assuredly, no intelligent being would prefer an alternative that is inferior in this regard. And so, for an intelligent being—a rational creature—intelligence itself must figure high on the scale of values.”

Nicholas Rescher (1928) American philosopher

"Issues of Ultimate Explanation," in On Certainty and Other Philosophical Essays on Cognition (2011), Section 7, "Noophelia is the Crux," pp. 79-80

Intelligence , Optimism

“I confess that when I am sought to be driven to a conclusion which appears to me unreasonable and unjust, I at once suspect the validity of the premises, even if I can detect no flaw in the reasoning from them.”

Nathaniel Lindley, Baron Lindley (1828–1921) English judge

In re Holford (1894), L. R. 3 Ch. 45.

Appearance

“We have confused the real issue of parliamentary democracy, for already there has been a fundamental change. The power of electors over their law-makers has gone, the power of MPs over Ministers has gone, the role of Ministers has changed. The real case for entry has never been spelled out, which is that there should be a fully federal Europe in which we become a province. It hasn't been spelled out because people would never accept it. We are at the moment on a federal escalator, moving as we talk, going towards a federal objective we do not wish to reach. In practice, Britain will be governed by a European coalition government that we cannot change, dedicated to a capitalist or market economy theology. This policy is to be sold to us by projecting an unjustified optimism about the Community, and an unjustified pessimism about the United Kingdom, designed to frighten us in. Jim quoted Benjamin Franklin, so let me do the same: "He who would give up essential liberty for a little temporary security deserves neither safety nor liberty." The Common Market will break up the UK because there will be no valid argument against an independent Scotland, with its own Ministers and Commissioner, enjoying Common Market membership. We shall be choosing between the unity of the UK and the unity of the EEC. It will impose appalling strains on the Labour movement… I believe that we want independence and democratic self-government, and I hope the Cabinet in due course will think again.”

Tony Benn (1925–2014) British Labour Party politician

Speech given in the Cabinet meeting to discuss Britain's membership of the EEC, as recorded in his diary (18 March 1975), Against the Tide. Diaries 1973-1976 (London: Hutchinson, 1989), pp. 346-347.
1970s

People , Law , Hope , Quotes

“I take the liberty of asserting that there is one valid reason, and only one, for either punishing a man or rewarding him in this world; one reason, which ancient piety could well define: That you may do the will and commandment of God with regard to him; that you may do justice to him. This is your one true aim in respect of him; aim thitherward, with all your heart and all your strength and all your soul, thitherward, and not elsewhither at all! This aim is true, and will carry you to all earthly heights and benefits, and beyond the stars and Heavens. All other aims are purblind, illegitimate, untrue; and will never carry you beyond the shop-counter, nay very soon will prove themselves incapable of maintaining you even there. Find out what the Law of God is with regard to a man; make that your human law, or I say it will be ill with you, and not well!”

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

1850s, Latter-Day Pamphlets (1850), Model Prisons (March 1, 1850)

God , World , Justice , Law