Quotes about deduce

A collection of quotes on the topic of deduce, other, law, nature.

Quotes about deduce

“There is synthesis when, in combining therein judgments that are made known to us from simpler relations, one deduces judgments from them relative to more complicated relations. There is analysis when from a complicated truth one deduces more simple truths.”

André-Marie Ampère (1775–1836) French physicist and mathematician

André-Marie Ampère in: André-Marie Ampère: Enlightenment and Electrodynamics http://books.google.co.in/books?id=QWZKQWB-sbQC&pg=PA158, Cambridge University Press, 1996, p. 158.

Truth

“The design of this Memoir is to deduce strictly from a few principles, obtained chiefly by experiment, the rationale of those electrical phenomena which are produced by the mutual contact of two or more bodies, and which have been termed galvanic; its aim is attained if by means of it the variety of facts be presented as unity to the mind.”

Georg Ohm (1789–1854) German physicist and mathematician

Introductory sentence of [Georg Simon Ohm, The Galvanic Circuit Investigated Mathematically, translated by William Francis, D. Van Nostrand Co, 1891, 11]

“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 would deduce the dragonfly from the larva, the iris from the bud, the lawyer from the infant?… We are all shape-shifters and magical reinventors. Life is really a plural noun, a caravan of selves.”

Diane Ackerman (1948) Author, poet, naturalist

Life

“Each pursues his private interest and only his private interest; and thereby serves the private interests of all, the general interest, without willing it or knowing it. The real point is not that each individual's pursuit of his private interest promotes the totality of private interests, the general interest. One could just as well deduce from this abstract phrase that each individual reciprocally blocks the assertion of the others' interests, so that, instead of a general affirmation, this war of all against all produces a general negation.”

Karl Marx (1818–1883) German philosopher, economist, sociologist, journalist and revolutionary socialist

Grundrisse (1857-1858)
Source: Notebook I, The Chapter on Money, p. 76.

War

“We have an odd relationship with words. We learn a few when we are small, throughout our lives we collect others through education, conversation, our contact with books, and yet, in comparison, there are only a tiny number about whose meaning, sense, and denotation we would have absolutely no doubts if, one day, we were to ask ourselves seriously what they meant. Thus we affirm and deny, thus we convince and are convinced, thus we argue, deduce, and conclude, wandering fearlessly over the surface of concepts about which we have only the vaguest of ideas, and, despite the false air of confidence that we generally affect as we feel our way along the road in the verbal darkness, we manage, more or less, to understand each other and even, sometimes, to find each other.”

José Saramago book The Double

The Double (2002)

Books, Education, Way, Feeling

“These principles [in art], forgotten over time, were rediscovered by a few geniuses such as Rembrandt, Vélazquez, Délacroix, Corot and Manet. These principles can be deduced from innate principles within us, ideas of harmony, common to all unspoiled men.... these are the laws of harmony and color.”

Paul Sérusier (1864–1927) French painter

Source: from: 'A letter to Maurice Denis, p. 237

Men, Law, Art, Color

“By laying down the relativity postulate from the outset, sufficient means have been created for deducing henceforth the complete series of Laws of Mechanics from the principle of conservation of energy (and statements concerning the form of the energy) alone.”

Hermann Minkowski The Fundamental Equations for Electromagnetic Processes in Moving Bodies

The Fundamental Equations for Electromagnetic Processes in Moving Bodies (1907)

Law

“The “determinist” swears that if we knew everything we should also be able to deduce and foretell the conduct of every man in every circumstance, and that is obvious enough. But the expression “know everything” means nothing.”

Paul Valéry (1871–1945) French poet, essayist, and philosopher

Source: Regards sur le monde actuel [Reflections on the World Today] (1931), p. 42

“The steam-engine having furnished us with a means of converting heat into a motive power, and our thoughts being thereby led to regard a certain quantity of work as an equivalent for the amount of heat expended in its production, the idea of establishing theoretically some fixed relation between a quantity of heat and the quantity of work which it can possibly produce, from which relation conclusions regarding the nature of heat itself might be deduced, naturally presents itself. Already, indeed, have many successful efforts been made with this view; I believe, however, that they have not exhausted the subject, but that, on the contrary, it merits the continued attention of physicists… The most important investigation in connexion with this subject is that of S. Carnot.”

Rudolf Clausius (1822–1888) German mathematical physicist

First Memoir. On the Moving Force of Heat and the Laws which may be Deduced Therefrom
The Mechanical Theory of Heat (1867)

Motivation, Idea, Nature, Effort

“As a man's conduct is controlled by public fact, so is her religion ruled by authority. The daughter should follow her mother's religion, the wife her husband's. Were that religion false, the docility which leads mother and daughter to submit to nature's laws would blot out the sin of error in the sight of Goddess. Unable to judge for themselves they should accept the judgment of father and husband as that of the church. While men unaided cannot deduce the rules of their faith, neither can they assign limits to that faith by the evidence of reason; they allow themselves to be driven hither and thither by all sorts of external influences, they are ever above or below the truth. Extreme in everything, they are either altogether reckless or altogether pious; you never find them able to combine virtue and piety. Their natural exaggeration is not wholly to blame; the ill-regulated control exercised over them by men is partly responsible. Loose morals bring religion into contempt; the terrors of remorse make it a tyrant; this is why women have always too much or too little religion. As a woman's religion is controlled by authority it is more important to show her plainly what to believe than to explain the reasons for belief; for faith attached to ideas half-understood is the main source of fanaticism, and faith demanded on behalf of what is absurd leads to madness or unbelief. Whether our catechisms tend to produce impiety rather than fanaticism I cannot say, but I do know that they lead to one or other. In the first place, when you teach religion to little girls never make it gloomy or tiresome, never make it a task or a duty, and therefore never give them anything to learn by heart, not even their prayers. Be content to say your own prayers regularly in their presence, but do not compel them to join you. Let their prayers be short, as Christ himself has taught us. Let them always be said with becoming reverence and respect; remember that if we ask the Almighty to give heed to our words, we should at least give heed to what we mean to say.”

Jean Jacques Rousseau book Emile, or On Education

Emile, or On Education (1762), Book V

Women, Men, Truth, Faith

“Either one or the other [ analysis or synthesis ] may be direct or indirect. The direct procedure is when the point of departure is known-direct synthesis in the elements of geometry. By combining at random simple truths with each other, more complicated ones are deduced from them. This is the method of discovery, the special method of inventions, contrary to popular opinion.”

André-Marie Ampère (1775–1836) French physicist and mathematician

André-Marie Ampè, in André-Marie Ampère: Enlightenment and Electrodynamics http://books.google.co.in/books?id=QWZKQWB-sbQC&pg=PA159, Cambridge University Press, 1996, p. 159

Truth, Departure

“In the beginning of the year 1665 I found the method of approximating Series and the Rule for reducing any dignity of any Binomial into such a series. The same year in May I found the method of tangents of Gregory and Slusius, and in November had the direct method of Fluxions, and the next year in January had the Theory of Colours, and in May following I had entrance into the inverse method of Fluxions. And the same year I began to think of gravity extending to the orb of the Moon, and having found out how to estimate the force with which [a] globe revolving within a sphere presses the surface of the sphere, from Kepler's Rule of the periodical times of the Planets being in a sesquialterate proportion of their distances from the centers of their orbs I deduced that the forces which keep the Planets in their Orbs must [be] reciprocally as the squares of their distances from the centers about which they revolve: and thereby compared the force requisite to keep the Moon in her orb with the force of gravity at the surface of the earth, and found them answer pretty nearly. All this was in the two plague years of 1665 and 1666, for in those days I was in the prime of my age for invention, and minded Mathematicks and Philosophy more than at any time since. What Mr Hugens has published since about centrifugal forces I suppose he had before me. At length in the winter between the years 1676 and 1677 I found the Proposition that by a centrifugal force reciprocally as the square of the distance a Planet must revolve in an Ellipsis about the center of the force placed in the lower umbilicus of the Ellipsis and with a radius drawn to that center describe areas proportional to the times. And in the winter between the years 1683 and 1684 this Proposition with the Demonstration was entered in the Register book of the R. Society. And this is the first instance upon record of any Proposition in the higher Geometry found out by the method in dispute. In the year 1689 Mr Leibnitz, endeavouring to rival me, published a Demonstration of the same Proposition upon another supposition, but his Demonstration proved erroneous for want of skill in the method.”

Isaac Newton (1643–1727) British physicist and mathematician and founder of modern classical physics

(ca. 1716) A Catalogue of the Portsmouth Collection of Books and Papers Written by Or Belonging to Sir Isaac Newton https://books.google.com/books?id=3wcjAAAAMAAJ&pg=PR18 (1888) Preface Also partially quoted in Sir Sidney Lee (ed.), The Dictionary of National Biography Vol.40 http://books.google.com/books?id=NycJAAAAIAAJ (1894)

Books, Age, Thinking, Winter

“When a constant electric current flows along a cylindrical wire, its strength is the same at every part of the section of the wire. But if the current is variable, self-induction produces a deviation from this… induction opposes variations of the current in the centre of the wire more strongly than at the circumference, and consequently the current by preference flows along the outer portion of the wire. When the current changes its direction… this deviation increases rapidly with the rate of alternation; and when the current alternates many million times per second, almost the whole of the interior of the wire must, according to theory, appear free from current, and the flow must confine itself to the very skin of the wire. Now in such extreme cases… preference must be given to another conception of the matter which was first presented by Messrs. 0. Heaviside and J. H. Poynting, as the correct interpretation of Maxwell's equations as applied to this case. According to this view, the electric force which determines the current is not propagated in the wire itself, but under all circumstances penetrates from without into the wire, and spreads into the metal with comparative slowness and laws similar to those which govern changes of temperature in a conducting body.
…Inasmuch as I made use of electric waves in wires of exceedingly short period in my experiments on the propagation of electric force, it was natural to test by means of these the correctness of the conclusions deduced. As a matter of fact the theory was found to be confirmed by the experiments…”

Heinrich Hertz (1857–1894) German physicist

"On the Propagation of Electric Waves by Means of Wires" (1889) Wiedemann's Annalen. 37 p. 395, & pp.160-161 of Electric Waves
Electric Waves: Being Researches on the Propagation of Electric Action with Finite Velocity Through Space (1893)

Law, Nature, Appearance, Change

“The Constitution contains no right to abortion. It is not to be found in the longstanding traditions of our society, nor can it be logically deduced from the text of the Constitution - not, that is, without volunteering a judicial answer to the nonjusticiable question of when human life begins. Leaving this matter to the political process is not only legally correct, it is pragmatically so. That alone - and not lawyerly dissection of federal judicial precedents - can produce compromises satisfying a sufficient mass of the electorate that this deeply felt issue will cease distorting the remainder of our democratic process. The Court should end its disruptive intrusion into this field as soon as possible.”

Antonin Scalia (1936–2016) former Associate Justice of the Supreme Court of the United States

Ohio v. Akron Center for Reproductive Health, (1990, concurring), 497 U.S. 502 http://caselaw.lp.findlaw.com/cgi-bin/getcase.pl?friend=oyez&navby=case&court=us&vol=497&invol=502#520 ; decided June 25,1990). 1990s

Life, Question

“I never take offence at any genuine effort to wrest the truth or deduce a rational set of values from the confused phenomena of the external world. It never occurs to me to look for personal factors in the age-long battle for truth. I assume that all hands are really trying to achieve the same main object—the discovery of sound facts and the rejection of fallacies—and it strikes me as only a minor matter that different strivers may happen to see a different perspective now and then. And in matters of mere preference, as distinguished from those involving the question of truth versus fallacy, I do not see any ground whatever for acrimonious feeling. Knowing the capriciousness and complexity of the various biological and psychological factors determining likes, dislikes, interests, indifferences, and so on, one can only be astonished that any two persons have even approximately similar tastes. To resent another's different likes and interests is the summit of illogical absurdity. It is very easy to distinguish a sincere, impersonal difference of opinion and tastes from the arbitrary, ill-motivated, and irrational belittlement which springs from a hostile desire to push another down and which constitutes real offensiveness. I have no tolerance for such real offensiveness—but I greatly enjoy debating questions of truth and value with persons as sincere and devoid of malice as I am. Such debate is really a highly valuable—almost indispensable—ingredient of life; because it enables us to test our own opinions and amend them if we find them in any way erroneous or unjustified.”

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

Letter to Robert E. Howard (7 November 1932), in Selected Letters 1932-1934 edited by August Derleth and Donald Wandrei, p. 102
Non-Fiction, Letters

Life, Hostility, Truth, Age

“Later Philosophers banish the Consideration of such a Cause out of natural Philosophy, feigning Hypotheses for explaining all things mechanically, and referring other Causes to Metaphysicks: Whereas the main Business of natural Philosophy is to argue from Phenomena without feigning Hypotheses, and to deduce Causes from Effects, till we come to the very first Cause, which certainly is not mechanical.”

Isaac Newton book Opticks, or a Treatise of the Reflections, Refractions, Inflections and Colours of Light

Query 28 : Are not all Hypotheses erroneous in which Light is supposed to consist of Pression or Motion propagated through a fluid medium?
Opticks (1704)
Context: To make way for the regular and lasting Motions of the Planets and Comets, it's necessary to empty the Heavens of all Matter, except perhaps some very thin Vapours, Steams or Effluvia, arising from the Atmospheres of the Earth, Planets and Comets, and from such an exceedingly rare Æthereal Medium … A dense Fluid can be of no use for explaining the Phænomena of Nature, the Motions of the Planets and Comets being better explain'd without it. It serves only to disturb and retard the Motions of those great Bodies, and make the frame of Nature languish: And in the Pores of Bodies, it serves only to stop the vibrating Motions of their Parts, wherein their Heat and Activity consists. And as it is of no use, and hinders the Operations of Nature, and makes her languish, so there is no evidence for its Existence, and therefore it ought to be rejected. And if it be rejected, the Hypotheses that Light consists in Pression or Motion propagated through such a Medium, are rejected with it.
And for rejecting such a Medium, we have the authority of those the oldest and most celebrated philosophers of ancient Greece and Phoenicia, who made a vacuum and atoms and the gravity of atoms the first principles of their philosophy, tacitly attributing Gravity to some other Cause than dense Matter. Later Philosophers banish the Consideration of such a Cause out of natural Philosophy, feigning Hypotheses for explaining all things mechanically, and referring other Causes to Metaphysicks: Whereas the main Business of natural Philosophy is to argue from Phenomena without feigning Hypotheses, and to deduce Causes from Effects, till we come to the very first Cause, which certainly is not mechanical.

Business, Nature

“Nor could they elicit or deduce from the eccentrics the principal consideration, that is, the structure of the universe and the true symmetry of its parts.”

Nicolaus Copernicus book De revolutionibus orbium coelestium

Preface Letter to Pope Paul III, Tr. E. Rosen, De Revolutionibus Orbium Coelestium (1978) pp. 4-7.
De revolutionibus orbium coelestium (1543)
Context: Those who devised the eccentrics seen thereby in large measure to have solved the problem of apparent motions with approximate calculations. But meanwhile they introduced a good many ideas which apparently contradict the first principles of uniform motion. Nor could they elicit or deduce from the eccentrics the principal consideration, that is, the structure of the universe and the true symmetry of its parts. On the contrary, their experience was just like someone taking from various places hands, feet, a head, and other pieces, very well depicted it may be, but for the representation of a single person; since these fragments would not belong to one another at all, a monster rather than a man would be put together from them.

Universe, Parting

“Beyond the obvious facts that he has at some time done manual labour, that he takes snuff, that he is a Freemason, that he has been in China, and that he has done a considerable amount of writing lately, I can deduce nothing else.”

Arthur Conan Doyle (1859–1930) Scottish physician and author

Source: The Red Headed League

Time

“And from the whole she deduced this useful lesson, that to go previously engaged to a ball, does not necessarily increase either the dignity or enjoyment of a young lady.”

Jane Austen book Northanger Abbey

Source: Northanger Abbey

“Show Holmes a drop of water and he would deduce the existence of the Atlantic. Show it to me and I would look for a tap. That was the difference between us.”

Anthony Horowitz book The House of Silk

Source: The House of Silk

Water

“Women don't have a sense of humor. They don't need one. The Almighty made them as a permanent joke on men. From which one may logically deduce tha the Almighty is a female.”

Loretta Chase book Lord of Scoundrels

Source: Lord of Scoundrels

Women, Men, Sense

“I don't guess. I think. I ponder. I deduce. Then I decide. But I never guess.”

William Goldman book The Princess Bride

Source: The Princess Bride

Thinking

“She'd never seen a monster like that before, had never heard of one in all the Lore. When she grappled with the question of what it was, her sharply honed scientifical mind deduced one answer: manbearpig.”

Kresley Cole American writer

Source: Demon from the Dark

Question

“In order to understand, observe, deduce, man must first be conscious of himself as alive.”

Leo Tolstoy book War and Peace

Source: War and Peace

Understanding

“But you didn't die."
"Clever lad, to deduce that from such slender evidence after living with me for just three years.”

Scott Lynch The Lies of Locke Lamora

Source: The Lies of Locke Lamora

“The philosophy of Kant, then, is the only philosophy with which a thorough acquaintance is directly presupposed in what we have to say here. But if, besides this, the reader has lingered in the school of the divine Plato, he will be so much the better prepared to hear me, and susceptible to what I say. And if, indeed, in addition to this he is a partaker of the benefit conferred by the Vedas, the access to which, opened to us through the Upanishads, is in my eyes the greatest advantage which this still young century enjoys over previous ones, because I believe that the influence of the Sanscrit literature will penetrate not less deeply than did the revival of Greek literature in the fifteenth century: if, I say, the reader has also already received and assimilated the sacred, primitive Indian wisdom, then is he best of all prepared to hear what I have to say to him. My work will not speak to him, as to many others, in a strange and even hostile tongue; for, if it does not sound too vain, I might express the opinion that each one of the individual and disconnected aphorisms which make up the Upanishads may be deduced as a consequence from the thought I am going to impart, though the converse, that my thought is to be found in the Upanishads, is by no means the case.”

Arthur Schopenhauer book The World as Will and Representation

:s:The World as Will and Representation/Preface to the First Edition Kants Philosophie also ist die einzige, mit welcher eine gründliche Bekanntschaft bei dem hier Vorzutragenden gradezu vorausgesetzt wird. — Wenn aber überdies noch der Leser in der Schule des göttlichen Platon geweilt hat; so wird er um so besser vorbereitet und empfänglicher seyn mich zu hören. Ist er aber gar noch der Wohllhat der Veda's theilhaft geworden, deren uns durch die Upanischaden eröfneter Zugang, in meinen Augen, der größte Vorzug ist, den dieses noch junge Jahrhundert vor den früheren aufzuweisen hat, indem ich vermuthe, daß der Einfluß der Samskrit-Litteratur nicht weniger tief eingreifen wird, als im 14ten Jahrhundert die Wiederbelebung der Griechischen: hat also, sage ich, der Leser auch schon die Weihe uralter Indischer Weisheit empfangen und empfänglich aufgenommen; dann ist er auf das allerbeste bereitet zu hören, was ich ihm vorzutragen habe. Ihn wird es dann nicht, wie manchen Andern fremd, ja feindlich ansprechen; da ich, wenn es nicht zu stolz klänge, behaupten möchte, daß jeder von den einzelnen und abgerissenen Aussprüchen, welche die Upanischaden ausmachen, sich als Folgesatz aus dem von mir mitzutheilenden Gedanken ableiten ließe, obgleich keineswegs auch umgekehrt dieser schon dort zu finden ist. Die Welt als Wille und Vorstellung. Leipzig 1819. Vorrede. pp.XII-XIII books.google https://books.google.de/books?id=0HsPAAAAQAAJ&pg=PR12 The World as Will and Representation (1819; 1844; 1859)

Wisdom, Hostility, School, Literature

“Cézanne showed us forms living in the reality of light; Picasso gives us a material report of their real life in the mind. He establishes a free, mobile perspective, in such a way that the shrewd mathematician Maurice Princet has deduced an entire geometry.”

Jean Metzinger (1883–1956) French painter

Note sur la Peinture (1910)

Life, Way, Reality, Light

“In other words, when I say "what's the evidence for that?", it's not that I don't trust your rationality (although of course I don't trust your rationality either), but I just can't deduce what evidence you must have observed from your probability declaration alone even if you were fully rational.”

Wei Dai Cryptocurrency pioneer and computer scientist

In a discussion thread https://www.lesswrong.com/posts/zsznamBgNuj3XX2DP/self-congratulatory-rationalism#2pmeNAZ33A8y43464 on LessWrong, March 2014

“It is one of the advantages of the revelations which we acknowledge, that whilst they reject idolatry with its many pernicious accompaniments, they introduce the Deity to human apprehension, under an idea more personal, more determinate, more within its compass, than the theology of nature can do. And this they do by representing him exclusively under the relation in which he stands to ourselves; and, for the most part, under some precise character, resulting from that relation, or from the history of his providences. Which method suits the span of our intellects much better than the universality which enters into the idea of God, as deduced from the views of nature.”

William Paley (1743–1805) Christian apologist, natural theologian, utilitarian

Source: Natural Theology (1802), Ch. 24 : Of the Natural Attributes of the Deity.

God, History, Idea, Nature

“We shall see that the mathematical treatment of the subject [of electricity] has been greatly developed by writers who express themselves in terms of the 'Two Fluids' theory. Their results, however, have been deduced entirely from data which can be proved by experiment, and which must therefore be true, whether we adopt the theory of two fluids or not. The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.”

James Clerk Maxwell book A Treatise on Electricity and Magnetism

A Treatise on Electricity and Magnetism (1873), §36.

Mathematics

“Cosmologists have plenty of ego — how can a person not be ego-driven when it's your job to deduce what brought the universe into existence? But without data, their explanations were just tall tales. In this modern era of cosmology, each new observation, each morsel of data wields a two-edged sword: it enables cosmology to thrive on the kind of foundation that so much of the rest of science enjoys, but it also constrains theories that people thought up when there wasn't enough data to say whether they were wrong or not. No science achieves maturity without it.Let there be cosmology.”

Neil deGrasse Tyson (1958) American astrophysicist and science communicator

Let There Be Light, Natural History Magazine, October 2003, 2010-12-07 http://www.haydenplanetarium.org/tyson/read/2003/10/01/let-there-be-light, 2000s

People, Universe, Science, Personality

“Against all these assertions Grotius published to the world a demonstration that no such rights could exist. His whole argument was mainly a development of two postulates. The first of these was that the right of nations to communicate with one another had been universally recognized; that it was based on a fundamental law of humanity; that the liberty of the sea being necessary to enable nations to communicate with one another, it could not be taken away by any power whatever. The second was that every attempt to make an ocean highway a monopoly of any single nation is forbidden by the immensity of the sea, its lack of stability, its want of fixed limits. This argument in places seemed thin. The book [Mare Liberum], after the custom of the time, was filled with an array—far more than sufficient—of learned citations; but its most significant feature—that which went to make it the herald of a new epoch—was that it took its stand upon the inalienable rights of mankind,—that it mainly deduced these rights neither from revelation nor from national enactments, but from natural law as ascertained by human reason.”

Andrew Dickson White (1832–1918) American politician

Source: Seven Great Statesmen in the Warfare of Humanity with Unreason (1915), p. 61

Books, World, Law, Communication

“In reality the cycles we have the occasion to observe are generally not damped. How can the maintenance of the swings be explained? Have theses dynamic laws deduced from theory and showing damped oscillations no value in explaining the real phenomena, or in what respect do the dynamic laws need to be completed in order to explain the real happenings? They (dynamic laws) only form one element of the explanation: they solve the propagation problem. But the impulse problem remains.”

Ragnar Frisch Propagation problems and impulse problems in dynamic economics

Source: 1930s, Propagation problems and impulse problems in dynamic economics, 1933, p. 197

Law, Problem, Reality

“The reason for the astonishing fact that a majority of working people submit to a handful of idlers who control their labour and their very lives is always and everywhere the same — whether the oppressors and oppressed are of one race or whether, as in India and elsewhere, the oppressors are of a different nation. This phenomenon seems particularly strange in India, for there more than two hundred million people, highly gifted both physically and mentally, find themselves in the power of a small group of people quite alien to them in thought, and immeasurably inferior to them in religious morality. … the reason lies in the lack of a reasonable religious teaching which, by explaining the meaning of life would supply a supreme law for the guidance of conduct, and would replace the more than dubious precepts of pseudoreligion and pseudoscience and the immoral conclusions deduced from them, commonly called "civilization."”

Leo Tolstoy A Letter to a Hindu

Source: A Letter to a Hindu (1908), I

Life, People, Law

“God, I have said, is the fulfiller, or the reality, of the human desires for happiness, perfection, and immortality. From this it may be inferred that to deprive man of God is to tear the heart out of his breast. But I contest the premises from which religion and theology deduce the necessity and existence of God, or of immortality, which is the same thing. I maintain that desires which are fulfilled only in the imagination, or from which the existence of an imaginary being is deduced, are imaginary desires, and not the real desires of the human heart; I maintain that the limitations which the religious imagination annuls in the idea of God or immortality, are necessary determinations of the human essence, which cannot be dissociated from it, and therefore no limitations at all, except precisely in man’s imagination.”

Ludwig Feuerbach (1804–1872) German philosopher and anthropologist

Lecture XXX, Atheism alone a Positive View Lectures on the Essence of Religion http://www.marxists.org/reference/archive/feuerbach/works/lectures/index.htm (1851)

God, Religion, Imagination, Idea

“[Relativist] Rel. There is a well-known proposition of Euclid which states that "Any two sides of a triangle are together greater than the third side." Can either of you tell me whether nowadays there is good reason to believe that this proposition is true?
[Pure Mathematician] Math. For my part, I am quite unable to say whether the proposition is true or not. I can deduce it by trustworthy reasoning from certain other propositions or axioms, which are supposed to be still more elementary. If these axioms are true, the proposition is true; if the axioms are not true, the proposition is not true universally. Whether the axioms are true or not I cannot say, and it is outside my province to consider.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

Space, Time and Gravitation (1920)

Universe, Parting

“Physiologists have usually represented that our species holds a middle rank, in the masticatory and digestive apparatus, between the flesh-eating and the herbivorous animals; — a statement which seems rather to have been deduced from what we have learned by experience on this subject, than to result fairly from an actual comparison of man and animals. … The teeth of man have not the slightest resemblance to those of the carnivorous animals, except that their enamel is confined to the external surface. He possesses, indeed, teeth called canine, but they do not exceed the level of the others, and are obviously unsuited to the purposes which the corresponding teeth execute in carnivorous animals. … Thus we find that, whether we consider the teeth and jaws, or the immediate instruments of digestion, the human structure closely resembles that of the simiæ; all of which, in their natural state, are completely herbivorous.”

Sir William Lawrence, 1st Baronet (1783–1867) British surgeon

Lectures on Comparative Anatomy, Physiology, Zoology, and the Natural History of Man, Eighth Edition (London: John Taylor, 1840), Section I, Chapter VI, pp. 148-150. Full text online at the Internet Archive https://archive.org/stream/lecturesoncompar00lawr#page/n5/mode/2up.

Nature, Learning, Animals

“MR. PANSCOPE. (suddenly emerging from a deep reverie.) I have heard, with the most profound attention, everything which the gentleman on the other side of the table has thought proper to advance on the subject of human deterioration; and I must take the liberty to remark, that it augurs a very considerable degree of presumption in any individual, to set himself up against the authority of so many great men, as may be marshalled in metaphysical phalanx under the opposite banners of the controversy; such as Aristotle, Plato, the scholiast on Aristophanes, St Chrysostom, St Jerome, St Athanasius, Orpheus, Pindar, Simonides, Gronovius, Hemsterhusius, Longinus, Sir Isaac Newton, Thomas Paine, Doctor Paley, the King of Prussia, the King of Poland, Cicero, Monsieur Gautier, Hippocrates, Machiavelli, Milton, Colley Cibber, Bojardo, Gregory Nazianzenus, Locke, D'Alembert, Boccaccio, Daniel Defoe, Erasmus, Doctor Smollett, Zimmermann, Solomon, Confucius, Zoroaster, and Thomas-a-Kempis.
MR. ESCOT. I presume, sir, you are one of those who value an authority more than a reason.
MR. PANSCOPE. The authority, sir, of all these great men, whose works, as well as the whole of the Encyclopaedia Britannica, the entire series of the Monthly Review, the complete set of the Variorum Classics, and the Memoirs of the Academy of Inscriptions, I have read through from beginning to end, deposes, with irrefragable refutation, against your ratiocinative speculations, wherein you seem desirous, by the futile process of analytical dialectics, to subvert the pyramidal structure of synthetically deduced opinions, which have withstood the secular revolutions of physiological disquisition, and which I maintain to be transcendentally self-evident, categorically certain, and syllogistically demonstrable.
SQUIRE HEADLONG. Bravo! Pass the bottle. The very best speech that ever was made.
MR. ESCOT. It has only the slight disadvantage of being unintelligible.
MR. PANSCOPE. I am not obliged, Sir, as Dr Johnson remarked on a similar occasion, to furnish you with an understanding.
MR. ESCOT. I fear, Sir, you would have some difficulty in furnishing me with such an article from your own stock.
MR. PANSCOPE. 'Sdeath, Sir, do you question my understanding?
MR. ESCOT. I only question, Sir, where I expect a reply, which from what manifestly has no existence, I am not visionary enough to anticipate.
MR. PANSCOPE. I beg leave to observe, sir, that my language was perfectly perspicuous, and etymologically correct; and, I conceive, I have demonstrated what I shall now take the liberty to say in plain terms, that all your opinions are extremely absurd.
MR. ESCOT. I should be sorry, sir, to advance any opinion that you would not think absurd.
MR. PANSCOPE. Death and fury, Sir!
MR. ESCOT. Say no more, Sir - that apology is quite sufficient.
MR. PANSCOPE. Apology, Sir?
MR. ESCOT. Even so, Sir. You have lost your temper, which I consider equivalent to a confession that you have the worst of the argument.
MR. PANSCOPE. Lightnings and devils!”

Thomas Love Peacock book Headlong Hall

Headlong Hall, chapter V (1816).

Death, Men, Pain, Fear

“Why are ecologists and environmentalists so feared and hated? This is because in part what they have to say is new to the general public, and the new is always alarming. Moreover, the practical recommendations deduced from ecological principles threaten the vested interests of commerce; it is hardly surprising that the financial and political power created by these investments should be used sometimes to suppress environmental impact studies. However, I think the major opposition to ecology has deeper roots than mere economics; ecology threatens widely held values so fundamental that they must be called religious. An attack on values is inevitably seen as an act of subversion.”

Garrett Hardin (1915–2003) American ecologist

Naked Emperors : Essays of a Taboo-Stalker (1982)

Hate, Fear, Thinking, Study

“To the scientists of 1850, Hamilton's principle was the realization of a dream. …from the time of Galileo scientists had been striving to deduce as many phenomena of nature as possible from a few fundamental physical principles. …they made striking progress …But even before these successes were achieved Descartes had already expressed the hope and expectation that all the laws of science would be derivable from a single basic law of the universe. This hope became a driving force in the late eighteenth century after Maupertuis's and Euler's work showed that optics and mechanics could very likely be unified under one principle. Hamilton's achievement in encompassing the most developed and largest branches of physical science, mechanics, optics, electricity, and magnetism under one principle was therefore regarded as the pinnacle of mathematical physics.”

Morris Kline (1908–1992) American mathematician

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 441.

Law, Dreams, Hope, Mathematics

“An explanation of a phenomenon is regarded, apparently instinctively, as the most general possible when it is a mechanical explanation. The "mechanism" of the process is the ultimate goal of experiment. Now this mechanism in general lies beyond the range of the senses; either by reason of their limitations, as in the case of the atomic structure of matter, or by the very nature of the supposed mechanism, as in the theory of the ether. The only way to bridge the gap between the machinery of the physical process and the world of sense-impressions is to think out some consequence of that mechanism. This we will call the hypothesis. The hypothesis, resting still on the mechanical basis, is yet beyond the range of direct experimental investigation; but if, by mathematical reasoning, a consequence of the hypothesis can be deduced, this will often lie within the range of experimental inquiry, and thus a test of the soundness of the original mechanical conception may be instituted.”

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

Introduction
Higher Mathematics for Chemical Students (1911)

Lie, World, Way, Mathematics

“Leibniz’s theory on the subject as substantia ideans in the sense of a causative agent of decision and acts stands much closer to a materialist interpretation of history than does a philosophy which reduces the thinking subject to the role of subsuming protocol sentences under general propositions and deducing other sentences from them.”

Max Horkheimer (1895–1973) German philosopher and sociologist

Source: "The Latest Attack on Metaphysics" (1937), p. 149.

History, Thinking, Decision, Sense

“The positivist philosophy of Comte and the I doctrine deduced from it that humanity is an organism, and Darwin's doctrine of a law of the struggle for existence that is supposed to govern life, with the differentiation of various breeds of people which follows from it, and the anthropology, biology, and sociology of which people are now so fond-all have the same aim. These have all become favourite sciences because they serve to justify the way in which people free themselves from the human obligation to labour, while consuming the fruits of other people's labour.”

Leo Tolstoy (1828–1910) Russian writer

What then must we do? (1886)

Life, People, Law, Way

“The great attraction of cultural anthropology in the past was precisely that it seemed to offer such a richness of independent natural experiments; but unfortunately it is now clear that there has been a great deal of historical continuity and exchange among those "independent" experiments, most of which have felt the strong effect of contact with societies organized as modern states. More important, there has never been a human society with unlimited resources, of three sexes, or the power to read other people's minds, or to be transported great distances at the speed of light. How then are we to know the effect on human social organization and history of the need to scrabble for a living, or of the existence of males and females, or of the power to make our tongues drop manna and so to make the worse appear the better reason? A solution to the epistemological impotence of social theory has been to create a literature of imagination and logic in which the consequences of radical alterations in the conditions of human existence are deduced. It is the literature of science fiction. … [S]cience fiction is the laboratory in which extraordinary social conditions, never possible in actuality, are used to illumine the social and historical norm. … Science fiction stories are the Gedanken experiments of social science.”

Richard C. Lewontin (1929) American evolutionary biologist

" The Last of the Nasties? http://www.nybooks.com/articles/archives/1996/feb/29/the-last-of-the-nasties," The New York Review of Books, 29 February 1996; Review of The Lost World by Michael Crichton

People, Sex, Imagination, History

“A truly rational theory would allow us to deduce the elementary particles (electron, etc.) and not be forced to state them a priori.”

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

Letter to Michele Besso (10 September 1952), Letter n°190, Correspondance, 1903-1955 (1972), by Pierre Speziali and Michele Angelo Besso
1950s

“The second proposition admits and encourages the very practice we censure so justly, for which the saint [ Augustine of Hippo ] was so famous, and by which he contributed so much to promote contentions in his own days, and to perpetuate them to ours. The practice of deducing doctrines from the scriptures that are not evidently contained in them… Who does not see that the direct tendency of this practice is exactly the same as the event has proved it to be? It composes and propagates a religion, seemingly under the authority of God, but really under that of man. The principles of revelation are lost in theology, or disfigured by it: and whilst some men are impudent enough to pretend, others are silly enough to believe, that they adhere to the gospel, and maintain the cause of God against infidels and heretics, when they do nothing better, nor more, than espouse the conceits of men, whom enthusiasm, or the ambition of forming sects, or of making a great figure in them, has inspired. If you ask now what the practice of the christian fathers, and of other divines, should have been, in order to preserve the purity of faith, and to promote peace and charity, the answer is obvious… They should have adhered to the word of God: they should have paid no regard to heathen philosophy, jewish cabala, the sallies of enthusiasm, or the refinements of human ingenuity: they should have embraced, and held fast the articles of faith and doctrine, that were delivered in plain terms, or in unequivocal figures: they should not have been dogmatical where the sense was doubtful, nor have presumed even to guess where the Holy Ghost left the veil of mystery undrawn.”

Henry St John, 1st Viscount Bolingbroke (1678–1751) English politician and Viscount

Lord Bolingbroke's Philosophical Works http://books.google.com/books?id=E6ATAAAAQAAJ (1754) Vol.III, Essay IV, Sect XVI

Men, God, Peace, Faith

“Christian Kings may erre in deducing a Consequence, but who shall Judge?”

Thomas Hobbes book Leviathan

The Third Part, Chapter 43, p. 330
Leviathan (1651)

“From 280,000-750,000, Armenians initially raised their death count to 800,000 to test the credibility waters. … They are now testing the waters at 2.5-3 million killed as their chances for a congressional genocide resolution recede. It speaks volumes that champions of the inflated death figures have no explanation for why Armenians on the scene would have erred. Think of the absurdity of discarding the current death count of Afghan civilians in the United States-Afghan war in favor of a number deduced in the year 2109!”

Bruce Fein (1947) American lawyer

Lies, Damn Lies, and Armenian Deaths (2009)

Death, War, Thinking, Water

“Hitherto, the science of Man has been limited to researches… respecting some of its laws, to results deduced from single or insulated observations, and to theories often based on mere glimpses; and these constitute pretty nearly all the materials it possesses.”

Adolphe Quetelet (1796–1874) Belgian astronomer, mathematician, statistician and sociologist

Introductory
A Treatise on Man and the Development of His Faculties (1842)

Law, Science

“Carnap, who has so far probably advanced the work of the Vienna Circle the most towards empiricism, made an attempt to create a constitutive constructive system; in this he distinguished two languages: a ‘monologizing’ (phenomenalist) one and an ‘intersubjective’ (physicalist) one. He tries to deduce the physical one from the phenomenalist.”

Otto Neurath (1882–1945) austrian economist, philosopher and sociologist

Source: 1930s, "Physicalism" (1931), p. 54

“Pure mathematics is a collection of hypothetical, deductive theories, each consisting of a definite system of primitive, undefined, concepts or symbols and primitive, unproved, but self-consistent assumptions (commonly called axioms) together with their logically deducible consequences following by rigidly deductive processes without appeal to intuition.”

Joshua Girling Fitch (1824–1903) British educationalist

The Fourth Dimension simply Explained. (New York, 1910), p. 58. Reported in Moritz (1914); Also cited in: Howard Eves (2012), Foundations and Fundamental Concepts of Mathematics, p. 167

Mathematics

“Our first objective in undertaking the experimental program described here has been to gain some understanding of what goes on in long sequences of plays of Prisoner's Dilemma. We have attempted to gain this understanding by postulating a system going through a sequence of states and by attempting to formulate some mathematical models from which the dynamics of the system could be deduced. Once such a model is found, its parameters, properly interpreted, become the key terms in the emerging psychological theory. This strategy can be deemed successful, if the parameters so discovered are independent of the process itself, if they suggest further investigation, and if the further investigations, in turn, lead to a more inclusive theory.”

Anatol Rapoport (1911–2007) Russian-born American mathematical psychologist

Source: 1960s, Prisoner's dilemma: A study in conflict and cooperation (1965), p. 185

Mathematics, Understanding, Success

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

Ragnar Frisch (1895–1973) Norwegian economist

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

Money, Knowledge

“I began studying philosophy and economics about the same time. The similarity of the two disciplines struck me at once. I found no difficulty in grasping the differences between the great philosophical systems as they were presented by our textbooks and our teachers. Economic theory was easier still. Indeed, I thought the successive systems of economics were rather crude affairs compared with the subtleties of the metaphysicians. Having run the gamut from Plato to T. H. Green (as undergraduates do) I felt the gamut from Quesnay to Marshall was a minor theme. The technical part of the theory was easy. Give me premises and I could spin speculations by the yard. Also I knew that my 'deductions' were futile…
Meanwhile I was finding something really interesting in philosophy and in economics. John Dewey was giving courses under all sorts of titles and every one of them dealt with the same problem — how we think… And, if one wanted to try his own hand at constructive theorizing, Dewey's notion pointed the way. It is a misconception to suppose that consumers guide their course by ratiocination—they don't think except under stress. There is no way of deducing from certain principles what they will do, just because their behavior is not itself rational. One has to find out what they do. That is a matter of observation, which the economic theorists had taken all too lightly. Economic theory became a fascinating subject—the orthodox types particularly — when one began to take the mental operations of the theorists as the problem…
Of course Veblen fitted perfectly into this set of notions. What drew me to him was his artistic side… There was a man who really could play with ideas! If one wanted to indulge in the game of spinning theories who could match his skill and humor? But if anything were needed to convince me that the standard procedure of orthodox economics could meet no scientific tests, it was that Veblen got nothing more certain by his dazzling performances with another set of premises…
William Hill set me a course paper on 'Wool Growing and the Tariff.”

Wesley Clair Mitchell (1874–1948) American statistician

I read a lot of the tariff speeches and got a new sidelight on the uses to which economic theory is adapted, and the ease with which it is brushed aside on occasion. Also I wanted to find out what really had happened to wool growers as a result of protection. The obvious thing to do was to collect and analyze the statistical data... That was my first 'investigation'.
Wesley Clair Mitchell in letter to John Maurice Clark, August 9, 1928. Originally printed in Methods in Social Science, ed. Stuart Rice; Cited in: Arthur F. Burns (1965, 65-66)

Way, Behavior, Game, Idea

“I am pervaded by the marvel of this art; but I cannot as yet explain it to myself. The Gothic is the world foreshortened. Where am I to begin? For more than thirty years I have been accumulating and comparing my observations. Perhaps eventually I shall succeed in deducing the rule, the law of divine intelligence; but perhaps I shall not have sufficient time. Then it will be the task of another, younger than myself, who will start his researches earlier, and who, besides, will have been informed by me.”

Auguste Rodin (1840–1917) French sculptor

Source: Rodin : the man and his art, with leaves from his notebook, 1917, p. 183; Rodin talks about cathedrals

World, Law, Art, Intelligence

“Geometry is that of mathematical science which is devoted to consideration of form and size, and may be said to be the best and surest guide to study of all sciences in which ideas of dimension or space are involved. Almost all the knowledge required by navigators, architects, surveyors, engineers, and opticians, in their respective occupations, is deduced from geometry and branches of mathematics. All works of art constructed according to the rules which geometry involves; and we find the same laws observed in the works of nature. The study of mathematics, generally, is also of great importance in cultivating habits of exact reasoning; and in this respect it forms a useful auxiliary to logic.”

Robert Chambers (publisher, born 1802) (1802–1871) Scottish publisher and writer

Robert Chambers, Chambers's Information for the People (1875) Vol. 2 https://books.google.com/books?id=vNpTAAAAYAAJ

Law, Art, Mathematics, Idea

“The work of Renoir, after that of Cézanne whose great influence had been manifested among artists, save us from whatever drying effect there is in pure abstraction. The rules that one might deduce in considering the work of these two masters appear to be more difficult to discover in the work of Renoir, who hides his efforts better. Whereas the continuous tension of the mind of Cézanne, his lack of self-confidence, prevent him from giving himself to us entirely even though he shows the evidence of his corrections, from which are easily (too easily) deduced rules that have a mathematical precision.”

Henri Matisse (1869–1954) French artist

critical quote on Cubism
In a short text of Matisse, 1918, written for the catalogue of 'Den Franske Utstilling', 1918, Copenhagen; as quoted in Matisse on Art, Jack Flam, University of California Press 1995 p. 272, note 2
1910 - 1920

Quotes, Confidence, Mathematics, Effort

“You can say with safety that nowadays women have finally acknowledged their position of not liking men. We could say now that women don't like men. They can acknowledge that they prefer the company of their own kind. I think we can also say generally that most men do not like other men. Most men prefer to like women. So women are the most liked by the most people. Men love women, women love children, and children love hamsters. A one-way slide. There is little going back the other way. Can hamsters love children? I leave you to deduce the rest.”

Peter Greenaway (1942) British film director

Palmira
8 1/2 Women

Love, Women, Men, Children

“I have resolved to demonstrate by a certain and undoubted course of argument, or to deduce from the very condition of human nature, not what is new and unheard of, but only such things as agree best with practice.”

Baruch Spinoza (1632–1677) Dutch philosopher

Source: Political Treatise (1677), Ch. 1, Introduction

Nature

“An essential distinction exists between two stages in the process of advancing our knowledge of the laws of physical phenomena; the first stage consists in observing the relations of phenomena, whether of such as occur in the ordinary course of nature, or of such as are artificially produced in experimental investigations, and in expressing the relations so observed by propositions called formal laws. The second stage consists in reducing the formal laws of an entire class of phenomena to the form of a science; that is to say, in discovering the most simple system of principles, from which all the formal laws of the class of phenomena can be deduced as consequences.”

William John Macquorn Rankine (1820–1872) civil engineer

Source: "Outlines of the Science of Energetics," (1855), p. 121; Lead paragraph: Section "What Constitutes A Physical Theory"

Law, Nature, Knowledge, Science

“They [mathematicians] only take those things into consideration, of which they have clear and distinct ideas, designating them by proper, adequate, and invariable names, and premising only a few axioms which are most noted and certain to investigate their affections and draw conclusions from them, and agreeably laying down a very few hypotheses, such as are in the highest degree consonant with reason and not to be denied by anyone in his right mind. In like manner they assign generations or causes easy to be understood and readily admitted by all, they preserve a most accurate order, every proposition immediately following from what is supposed and proved before, and reject all things howsoever specious and probable which can not be inferred and deduced after the same manner.—Barrow, Isaac.”

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

Source: Mathematical Lectures (1734), p. 66

Idea, Drawing

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

David Eugene Smith (1860–1944) American mathematician

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

Way, Question, Problem, Appearance

“Ruskin's much-derided moral theory of art was part of an attempt to show that this human activity, which we value so highly, engaged the whole of human personality. His insistence on the sanctity of nature was part of an attempt to develop Goethe's intuition that form cannot be put together in the mind by an additive process, but is to be deduced from the laws of growth in living organisms, and their resistance to the elements.”

Kenneth Clark (1903–1983) Art historian, broadcaster and museum director

Section 3: A Note on Ruskin's Writings on Art and Architecture
Ruskin Today (1964)

Law, Art, Nature, Parting

“All poetry is supposed to be instructive but in an unnoticeable manner; it is supposed to make us aware of what it would be valuable to instruct ourselves in; we must deduce the lesson on our own, just as with life.”

Johann Wolfgang von Goethe (1749–1832) German writer, artist, and politician

Letter to Carl Friedrich Zelter (26 November 1825)

Life

“As I see it, all questions regarding the factual accuracy of Biblical statements—notably such ‘miraculous’ events as Virgin Birth, Resurrection, etc.—are wholly irrelevant to the true issues. Indeed, I should go so far as to say myself that the whole value of the Gospel story to mankind—and it is very great—lies not in its historical but in its legendary, mythical, or ‘typical’ character. It is not, I think, the Sermon on the Mount—or at least not this alone—that constitutes the peculiar contribution of Christianity to human thought, for very similar maxims are to be found elsewhere, and in any event could be deduced from first principles. It is to be found, rather, in the affirmation that all that is best and highest in man, as typified in the person of Jesus, is bound to arouse opposition, is often persecuted and apparently destroyed—yet is in fact indestructible and does perennially ‘rise again’, triumphant over seeming disaster.”

Leslie Weatherhead (1893–1976) English theologian

Preface, p. 20, sentence 3. Quoted from Whately Carington,Telepathy, pp. 145-46 (Methuen 1945).
The Christian Agnostic (1965)

Birth, Question, Thinking, Personality

“It took me more than a week to deduce from the evidence around me that everything before my waking up was a dream and everything afterward was reality. There was no basis for distinguishing the two other than the growing pile of new events that seemed to argue against the drunk experience. Little things appeared, like the locked door, the outside of which I could never remember seeing. And a slip of paper from the probate court telling me that some person was committed as insane. Did they mean me?”

Robert M. Pirsig book Zen and the Art of Motorcycle Maintenance

Source: Zen and the Art of Motorcycle Maintenance (1974), Ch. 7

Dreams, Reality, Appearance, Personality

“The Benthamic standard of "the greatest happiness" was that which I had always been taught to apply; I was even familiar with an abstract discussion of it, forming an episode in an unpublished dialogue on Government, written by my father on the Platonic model. Yet in the first pages of Bentham it burst upon me with all the force of novelty. What thus impressed me was the chapter in which Bentham passed judgment on the common modes of reasoning in morals and legislation, deduced from phrases like "the law of nature," "right reason," "the moral sense," "natural rectitude," and the like, and characterized them as dogmatism in disguise, imposing its sentiments upon others under cover of sounding expressions which convey no reason for the sentiment, but set up the sentiment as its own reason. It had not struck me before, that Bentham's principle put an end to all this. The feeling rushed upon me, that all previous moralists were superseded, and that here indeed was the commencement of a new era in thought.”

John Stuart Mill book Autobiography

Source: Autobiography (1873), Ch. 3: Last Stage of Education and First of Self-Education (pp. 45-46)

Law, Feeling, Nature, Sense

“What we mean by the laws of nature, are those laws which are deduced from that series of events, which, by divine appointment, follow each other in the moral and physical world; the former of which we shall here have occasion principally to consider, the present question altogether, respecting the moral government of God — a consideration which our author has entirely neglected, in his estimation of the credibility of miracles. Examining the question therefore upon this principle, it is manifest, that the extraordinary nature of the fact is no ground for disbelief, provided such a fact, in, a moral point of view, was, from the condition of man, become necessary; for in that case, the Deky, by dispensing his assistance in proportion to our wants, acted upon the same principle as in his more 'ordinary operations. For however ' opposite the physical effects may be, if their moral tendency be the same, they form a part of the jmoral law. Now in those actions which are called miracles, the Deity is directed by the same moral principle as in his usual dispensations; and therefore being influenced by the same motive to accomplish the same end, the laws of God's moral government are not violated, such laws being established by the motives and the ends produced, and not by the means employed. To prove therefore the moral laws to be the same in those actions called miraculous, as in common events, it is not the actions thetnselves which are to be considered, but the principles by which they were directed, and their consequences, for if these be the same, the Deity acts by the same laws. And here, moral analogy will be found to confirm the truth of the miracles recorded in scripture. But as the moral government of God is directed by motives which lie beyond the reach of human investigation, we have no principles by which we can judge concerning the probability of the happening of any new event which respects the moral world; we cannot therefore pronounce any extraordinary event of that nature to be a violation of the moral law of God's dispensations; but we can nevertheless judge of its agreement with that law, so far as it has fallen under our observation. But our author leaves out the consideration of God's moral government, and reasons simply -on the facts which arc said to have nappened, without any reference to an end; we will therefore examine how far his conclusions are just upon this principle.
He defines miracles to be "a violation of the laws of nature;" he undoubtedly means the physical laws, as no part of his reasoning has any reference to them in a moral point of view. Now these laws must be deduced, either from his own view of events only, or from that, and testimony jojntly; and if testimony beallowed on one part, it ought also to be admitted on the other, granting that there is no impossibility in the fact attested. But the laws by which the Deity governs the universe can, at best, only be inferred from the whole series of his dispensations from the beginning of the world; testimony must therefore necessarily be admitted in establishing these laws. Now our author, in deducing the laws of nature, rejects all well authenticated miraculous events, granted to be possible, and therefore not altogether incredible and to be rejected without examination, and thence establishes a law to prove against their credibility; but the proof of a position ought to proceed upon principles which are totally independent of any supposition of its being either true or falser. His conclusion therefore is not deduced by just reasoning from acknowledged principles, but it is a necessary consequence of his own arbitrary supposition. "Tis a miracle," says he, "that a dead man should come to life, because that has never been observed in any age or country." Now, testimony, confirmed by every proof which can tend to establish a true matter of fact, asserts that such an event; has happened. But our author argues against the credibility of this, because it is contrary to the laws of nature; and in establishing these laws, he rejects all such extraordinary facts, although they are authenticated by all the evidence which such facts can possibly admit of; taking thereby into consideration, events of that kind only which have fallen within the sphere of his own observations, as if the whole series of God's dispensations were necessarily included in the course of a few years. But who shall thus circumscribe the operations of divine power and infinite wisdom, and say, "Hitherto shall thou go, and no further."”

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

Before he rejected circumstances of this kind in establishing the laws of nature, he should, at least, have shewn, that we have not all that evidence for them which we might "have had" upon supposition that they were true ; he should also have shewn, in a moral point of view, that the events were inconsistent with the ordinary operations of Providence ; and that there was no end to justify the means. Whereas, on the contrary, there is all the evidence for them which a real matter of fact can possibly have ; they are perfectly consistent with all the moral dispensations of Providence and at the same time that the resurrection of Jesus Christ is most unexceptionably attested, we discover a moral intention in the miracle, which very satisfactorily accounts for that exertion of divine power? Source: The Credibility of Christianity Vindicated, p. 48; As quoted in " Book review http://books.google.nl/books?id=52tAAQAAMAAJ&pg=PA259," in The British Critic, Volume 12 (1798). F. and C. Rivington. p. 259-261

Life, Wisdom, God, Truth

“It seems, then, that the Greeks had not only derived from preceding nations, but had also, in some slight degree, deduced from their own observations, the theory of great periodical revolutions in the inorganic world.”

Charles Lyell book Principles of Geology

Chpt.2, p. 18
Principles of Geology (1832), Vol. 1

World

“The behavior of two individuals, consisting of effort which results in output, is considered to be determined by a satisfaction function which depends on remuneration (receiving part of the output) and on the effort expended. The total output of the two individuals is not additive, that is, together they produce in general more than separately. Each individual behaves in a way which he considers will maximize his satisfaction function. Conditions are deduced for a certain relative equilibrium and for the stability of this equilibrium, i. e., conditions under which it will not “pay” the individual to decrease his efforts. In the absence of such conditions "exploitation" occurs which may or may not lead to total parasitism.”

Anatol Rapoport (1911–2007) Russian-born American mathematical psychologist

Anatol Rapoport. "Mathematical theory of motivation interactions of two individuals," The Bulletin of Mathematical Biophysics(1947) 9: 17-28 , March 01, 1947
1940s

Way, Behavior, Effort, Parting

“…Once you entomb mathematics in an artificial language à la Hilbert, once you set up a completely formal axiomatic system, then you can forget that it has any meaning and just look at it as a game that you play with marks on paper that enable you to deduce theorems from axioms. You can forget about the meaning of the game, the game of mathematical reasoning, it's just combinatorial play with symbols! There are certain rules, and you can study these rules and forget that they have any meaning!”

Gregory Chaitin (1947) Argentinian mathematician and computer scientist

1999 Lecture—"A Century of Controversy over the Foundations of Mathematics" at U. Massachusetts at Lowell, quoted in [2012, Conversations with a Mathematician: Math, Art, Science and the Limits of Reason, Springer, https://books.google.com/books?id=DczTBwAAQBAJ&pg=PA15] p. 15

Game, Mathematics, Study, Forgetting

“As is known, scientific physics dates its existence from the discovery of the differential calculus. Only when it was learned how to follow continuously the course of natural events, attempts, to construct by means of abstract conceptions the connection between phenomena, met with success. To do this two things are necessary: First, simple fundamental concepts with which to construct; second, some method by which to deduce, from the simple fundamental laws of the construction which relate to instants of time and points in space, laws for finite intervals and distances, which alone are accessible to observation”

Bernhard Riemann (1826–1866) German mathematician

can be compared with experience Die partiellen Differentialgleichungen der mathematischen Physik (1882) as quoted by Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath's Quotation-book https://books.google.com/books?id=G0wtAAAAYAAJ (1914) p. 239

Law, Nature, Learning, Time

“A somewhat casual observer from outer space might well deduce that the course of evolution in this planet had produced a species of large four-wheeled bugs with detachable brains; peculiar animals which rested when they sent their brains away from them but performed in rather predictable manner when their brains were recalled.”

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

Kenneth Boulding (1966) Economics and Ecology. p. 225
1960s

Animals

“For the theory-practice iteration to work, the scientist must be, as it were, mentally ambidextrous; fascinated equally on the one hand by possible meanings, theories, and tentative models to be induced from data and the practical reality of the real world, and on the other with the factual implications deducible from tentative theories, models and hypotheses.”

George E. P. Box (1919–2013) British statistician

Source: Science and Statistics (1976), p. 792

World, Reality

“The "I" who speaks in this book is by no means the author. Rather, the author wishes that the reader may come to see himself in this "I": that the reader may not simply relate to what is said here as he would to history, but rather that while reading he will actually converse with himself, deliberate back and forth, deduce conclusions, make decisions like his representative in the book, and through his own work and reflection, purely out of his own resources, develop and build within himself the philosophical disposition that is presented to him in this book merely as a picture.”

Johann Gottlieb Fichte book The Vocation of Man

Source: The Vocation of Man (1800), P. Preuss, trans. (1987), p. 2

Books, History, Decision, Reading

“Symbolical algebra adopts the rules of arithmetical algebra, but removes altogether their restrictions: thus symbolical subtraction differs from the same operation in arithmetical algebra in being possible for all relations of value of the symbols or expressions employed… all the results of arithmetical algebra which are deduced by the application of its rules, and which are general in form, though particular in value, are results likewise of symbolical algebra, where they are general in value as well as in form: thus the product of a^{m} and a^{n}, which is a^{m+n} when m and n are whole numbers, and therefore general in form though particular in value, will be their product likewise when m and n are general in value as well as in form: the series for (a+b)^{n}, determined by the principles of arithmetical algebra, when n is any whole number, if it be exhibited in a general form, without reference to a final term, may be shewn, upon the same principle, to the equivalent series for (a+b)^n, when n is general both in form and value.”

George Peacock (1791–1858) Scottish mathematician

Vol. I: Arithmetical Algebra Preface, p. vi-vii
A Treatise on Algebra (1842)

“One cannot, however, avoid saying a few words about individuals who lay down the law to art in the name of art history. Art criticism today is beset by art historians turned inside out to function as prophets of so-called inevitable trends. A determinism similar to that projected into the evolution of past styles is clamped upon art in the making. In this parody of art history, value judgments are deduced from a presumed logic of development, and an ultimatum is issued to artists either to accommodate themselves to these values or be banned from the art of the future.”

Harold Rosenberg (1906–1978) American writer and art critic

Source: Art on the Edge, (1975), p. 147, "Criticism and Its Premises"

Law, Art, History, Past

“Of crimes injurious to the persons of private subjects, the most principal and important is the offense of taking away that life, which is the immediate gift of the great creator; and which therefore no man can be entitled to deprive himself or another of, but in some manner either expressly commanded in, or evidently deducible from, those laws which the creator has given us; the divine laws, I mean, of either nature or revelation.”

William Blackstone book Commentaries on the Laws of England

Book IV, ch. 14 http://avalon.law.yale.edu/18th_century/blackstone_bk4ch14.asp: Of Homicide. Commentaries on the Laws of England (1765–1769)

Life, Law, Nature, Personality

“As to the most prudent logicians might venture to deduce from a skein of wool the probable existence of a sheep; so you, from the raw stuff of perception, may venture to deduce a universe which transcends the reproductive powers of your loom.”

Evelyn Underhill book Practical Mysticism

Source: Practical Mysticism (1914), Chapter II, The World Of Reality, p. 38

Universe

“If in the present work I have dwelt at some length on the worship of trees, it is not, I trust, because I exaggerate its importance in the history of religion, still less because I would deduce from it a whole system of mythology; it is simply because I could not ignore the subject in attempting to explain the significance of a priest who bore the title of King Of the Wood, and one of whose titles to office was the plucking of a bough — the Golden Bough”

James Frazer book The Golden Bough

from a tree in the sacred grove.
Preface, 1 Brick Court Temple, London, June 1922.
The Golden Bough (1890)

Religion, History, Tree

“Were I to deduce any system from my feelings on leaving Eton, it might be called The Theory of Permanent Adolescence. It is the theory that the experiences undergone by boys at the great public schools, their glories and disappointments, are so intense as to dominate their lives and arrest their development. From these it results that the greater part of the ruling class remains adolescent, school-minded, self-conscious, cowardly, sentimental, and in the last analysis homosexual.”

Cyril Connolly book Enemies of Promise

Source: Enemies of Promise (1938), Part 3: A Georgian Boyhood, Ch. 24: Vale (p. 253)

School, Disappointment, Feeling, Boy

“In every previous application of the quantum law, Planck's law, that the energy is h [Planck's constant] times the frequency, had been used to deduce the energy of a quantum when the frequency of the radiation was already known. In the present case the formula was used the other way; the energy of the emitted photon was known to begin with, and the formula was utilized to deduce its frequency. The frequencies calculated in this way are found to agree completely and exactly with those of the spectrum of hydrogen.”

James Jeans (1877–1946) British mathematician and astronomer

Physics and Philosophy (1942)

Law, Way, Time

“A conception of justice cannot be deduced from self evident premises or conditions on principles; instead, its justification is a matter of the mutual support of many considerations, of everything fitted together into one coherent view.”

John Rawls book A Theory of Justice

Source: A Theory of Justice (1971; 1975; 1999), Chapter I, Section 4, p. 21

Justice, Support

“If it be urged that the action of the potato is chemical and mechanical only, and that it is due to the chemical and mechanical effects of light and heat, the answer would seem to lie in an inquiry whether every sensation is not chemical and mechanical in its operation? whether those things which we deem most purely spiritual are anything but disturbances of equilibrium in an infinite series of levers, beginning with those that are too small for microscopic detection, and going up to the human arm and the appliances which it makes use of? whether there be not a molecular action of thought, whence a dynamical theory of the passions shall be deducible? Whether strictly speaking we should not ask what kind of levers a man is made of rather than what is his temperament? How are they balanced? How much of such and such will it take to weigh them down so as to make him do so and so?”

Samuel Butler (1835–1902) novelist

Source: Erewhon (1872), Ch. 23

Lie, Light, Passion

“In arithmetical algebra we consider symbols as representing numbers, and the operations to which they are submitted as included in the same definitions as in common arithmetic; the signs + and - denote the operations of addition and subtraction in their ordinary meaning only, and those operations are considered as impossible in all cases where the symbols subjected to them possess values which would render them so in case they were replaced by digital numbers; thus in expressions such as a + b we must suppose a and b to be quantities of the same kind; in others, like a - b, we must suppose a greater than b and therefore homogeneous with it; in products and quotients, like ab and \frac{a}{b} we must suppose the multiplier and divisor to be abstract numbers; all results whatsoever, including negative quantities, which are not strictly deducible as legitimate conclusions from the definitions of the several operations must be rejected as impossible, or as foreign to the science.”

George Peacock (1791–1858) Scottish mathematician

Vol. I: Arithmetical Algebra Preface, p. iv
A Treatise on Algebra (1842)

Science

“The impressions received by the two observers A0 and A would be alike in all respects. It would be impossible to decide which of them moves or stands still with respect to the ether, and there would be no reason for preferring the times and lengths measured by the one to those determined by the other, nor for saying that either of them is in possession of the "true" times or the "true" lengths. This is a point which Einstein has laid particular stress on, in a theory in which he starts from what he calls the principle of relativity, i. e., the principle that the equations by means of which physical phenomena may be described are not altered in form when we change the axes of coordinates for others having a uniform motion of translation relatively to the original system.
I cannot speak here of the many highly interesting applications which Einstein has made of this principle. His results concerning electromagnetic and optical phenomena …agree in the main with those which we have obtained… the chief difference being that Einstein simply postulates what we have deduced, with some difficulty and not altogether satisfactorily, from the fundamental equations of the electromagnetic field. By doing so, he may certainly take credit for making us see in the negative result of experiments like those of Michelson, Rayleigh and Brace, not a fortuitous compensation of opposing effects, but the manifestation of a general and fundamental principle.
Yet, I think, something may also be claimed in favour of the form in which I have presented the theory. I cannot but regard the ether, which can be the seat of an electromagnetic field with its energy and vibrations, as endowed with a certain degree of substantiality, however different it may be from all ordinary matter. …it seems natural not to assume at starting that it can never make any difference whether a body moves through the ether or not, and to measure distances and lengths of time by means of rods and clocks having a fixed position relatively to the ether.
It would be unjust not to add that, besides the fascinating boldness of its starting point, Einstein's theory has another marked advantage over mine. Whereas I have not been able to obtain for the equations referred to moving axes exactly the same form as for those which apply to a stationary system, Einstein has accomplished this by means of a system of new variables slightly different from those which I have introduced.”

Hendrik Lorentz (1853–1928) Dutch physicist

Source: The Theory of Electrons and Its Applications to the Phenomena of Light and Radiant Heat (1916), Ch. V Optical Phenomena in Moving Bodies.

Nature, Thinking, Change, Time

“… we English people delight in a moral — not a moral to be deduced or inferred, but a nice, rounded, little moral, in all the starch of set sentences, and placed just at the end”

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

The Monthly Magazine

People

“An analysis [of urban space] is possible only if one reduces social action to a language and social relations to systems of communication. The ideological displacement carried out in this perspective consists in passing from one method of mapping traces of social practice through its effects on the organization of space to a principle of organization deduced from the formal expression listed, as if social organization were a code and urban structure a set of myths.”

Manuel Castells (1942) Spanish sociologist (b.1942)

Source: The Urban Question: A Marxist Approach, 1977, p. 216

Communication

“Ussher’s intense and obsessive project seems very odd to the eyes of a modern scientist. After all he had deduced the age of the Earth without looking at a scrap of physical evidence—not a single rock.”

Stephen Baxter (1957) author

Source: Ages in Chaos (2003), Chapter 2, “The first day of the creation is deduced” (p. 17)

Age

“LOGIC The principle governing human intellection. Its nature may be deduced from examining the following propositions, both of which are held by human beings to be true and often by the same people: “I can’t so you musn’t,” and “I can but you musn’t.””

John Brunner book Stand on Zanzibar

the happening world (15) “Equal and Opposite”
Stand on Zanzibar (1968)

People, Nature

“You can deduce everything about a woman from the way she holds her feet. Seductive women always turn their feet out. Don't expect to get anywhere with a woman who turns her feet in.”

Edouard Manet (1832–1883) French painter

a remark of Manet to Mallarmé, recorded by Thadée Natanson [husband of Misia Sert ]; as quoted in Berthe Morisot, the first lady of impressionism, Margaret Shennan; Sutton Books London 1996, p.136
1876 - 1883

Women, Way

“In sculpture the projection of the fasciculi must be accentuated, the foreshortening forced, the hollows deepened; sculpture is the art of the hole and the lump, not of clear, well-smoothed, unmodelled figures. Ignorant people, when they see close-knitted true surfaces, say that 'it is not finished.' No notion is falser than that of finish unless it be that of elegance; by means of these two ideas people would kill our art. The way to obtain solidity and life is by work carried out to the fullest, not in the direction of achievement and of copying détails, but in that of truth in the successive schemes. The public, perverted by académie préjudices, confounds art with neatness. The simplicity of the 'École' is a painted cardboard ideal, A cast from life is a copy, the exactest possible copy, and yet it has neither motion nor eloquence. Art intervenes to exaggerate certain surfaces, and also to fine down others. In sculpture everything depends upon the way in which the modelling is carried out with a constant thought of the main line of the scheme, upon the rendering of the hollows, of the projections and of their connections; thus it is that one may get fine lights, and especially fine shadows that are not opaque. Everything should be emphasised according to the accent that it is desired to render, and the degree of amplification is personal, according to the tact and the temperament of each sculptor; and for this reason there is no transmissible process, no studio recipe, but only a true law. I see it in the antique and in Michael Angelo. To work by the profiles, in depth not by surfaces, always thinking of the few geometrical forms from which all nature proceeds, and to make these eternal forms perceptible in the individual case of the object studied, that is my criterion. That is not idealism, it is a part of the handicraft. My ideas have nothing to do with it but for that method; my Danaids and my Dante figures would be weak, bad things. From the large design that I get your mind deduces ideas.”

Auguste Rodin (1840–1917) French sculptor

Source: Auguste Rodin: The Man, His Ideas, His Works, 1905, p. 61-63

Life, People, Truth, Law