Quotes about deduce
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Thomas Young (scientist) photo
Janna Levin photo
Herman Cain photo

“Lawrence O'Donnell: Mr. Cain, in fact, you were in college from 1963 to 1967, at the height of the civil rights movement, exactly when the most important demonstrations and protests were going on. You could easily, as a student at Morehouse, between 1963 and 1967, actively participated in the kinds of protests that got African Americans the rights they enjoy today. You watched from that perspective at Morehouse when you were not participating in those processes. You watch black college students from around the country and white college students from around the country come to the South and be murdered fighting for the right of African Americans. Do you regret sitting on those sidelines at that time?
Herman Cain: Lawrence, your attempt to say that I sat on the sidelines is an irrelevant comparison that you are trying to deduce from that—
Lawrence O'Donnell: It's in your book. It's in your book.
Herman Cain: Now, Lawrence, I know what's in my book. Now, let me ask you a question. Did you expect every black student and every black college in America to be out there, in the middle of every fight? The answer is no. So for you to say, why was I sitting on the sidelines, I think that that is an inaccurate deduction that you are trying to make. You didn't know, Lawrence, what I was doing with the rest of my life. You didn't know what my family situation may have been. Maybe, just maybe, I had a sick relative, which is why I might not have been sitting in, or doing the Freedom Rides. So what I'm saying, Lawrence, is, with all due respect my friend, your deduction is incorrect, and it's not logical, okay?”

Herman Cain (1945) American writer, businessman and activist

referring to "This is Herman Cain!" recounting that Herman read about sit-ins and Freedom Rides, and followed his father's advice to "stay out of trouble".

George Boole photo

“To deduce the laws of the symbols of Logic from a consideration of those operations of the mind which are implied in the strict use of language as an instrument of reasoning.”

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

Source: 1850s, An Investigation of the Laws of Thought (1854), p. 42

Friedrich Hayek photo

“I mean, it became particularly acute because Keynes, against his intentions, had stimulated the development of macroeconomics. And I was convinced that not only his particular conclusions, but the whole foundation of macroeconomics was wrong.
So I wanted to demonstrate that we had to return to microeconomics, that this whole prejudice supported by the natural scientists that could deduce anything from measurable magnitudes, the effects of aggregates and averages, came to fascinate me much more. I felt in a way, that the thing which I am now prepared to do, I don’t know as there’s anybody else who can do this particular task. And I rather hoped that what I had done in capital theory would be continued by others. This was a new opening which was much more fascinating. The other would have meant working for a result which I already knew, but had to prove it. Which was very dull.
The other thing was an open problem: How does economics really look like when you recognize it as the prototype of a new kind of science of complex phenomena which could not employ the simple model of mechanics or physics, but had to deal with what then I described as mere pattern predictions, certain limited prediction. That was so much more fascinating as an intellectual problem.”

Friedrich Hayek (1899–1992) Austrian and British economist and Nobel Prize for Economics laureate

In a 1985 interview with Gary North and Mark Skousen, in Hayek on Hayek (1994)
1980s and later

Henry John Stephen Smith photo
Wolfgang Pauli photo

“Already in my original paper I stressed the circumstance that I was unable to give a logical reason for the exclusion principle or to deduce it from more general assumptions. I had always the feeling, and I still have it today, that this is a deficiency.”

Wolfgang Pauli (1900–1958) Austrian physicist, Nobel prize winner

"Exclusion Principle and Quantum Mechanics," Nobel Prize acceptance lecture for the discovery of the Exclusion Principle, also called the Pauli Principle (Dec. 13, 1946)

Talcott Parsons photo
John Dewey photo
William John Macquorn Rankine photo
Max Wertheimer photo
Heinz Guderian photo

“Suppose then I want to give myself a little training in the art of reasoning; suppose I want to get out of the region of conjecture and probability, free myself from the difficult task of weighing evidence, and putting instances together to arrive at general propositions, and simply desire to know how to deal with my general propositions when I get them, and how to deduce right inferences from them; it is clear that I shall obtain this sort of discipline best in those departments of thought in which the first principles are unquestionably true. For in all 59 our thinking, if we come to erroneous conclusions, we come to them either by accepting false premises to start with—in which case our reasoning, however good, will not save us from error; or by reasoning badly, in which case the data we start from may be perfectly sound, and yet our conclusions may be false. But in the mathematical or pure sciences,—geometry, arithmetic, algebra, trigonometry, the calculus of variations or of curves,—we know at least that there is not, and cannot be, error in our first principles, and we may therefore fasten our whole attention upon the processes. As mere exercises in logic, therefore, these sciences, based as they all are on primary truths relating to space and number, have always been supposed to furnish the most exact discipline. When Plato wrote over the portal of his school. “Let no one ignorant of geometry enter here,” he did not mean that questions relating to lines and surfaces would be discussed by his disciples. On the contrary, the topics to which he directed their attention were some of the deepest problems,—social, political, moral,—on which the mind could exercise itself. Plato and his followers tried to think out together conclusions respecting the being, the duty, and the destiny of man, and the relation in which he stood to the gods and to the unseen world. What had geometry to do with these things? Simply this: That a man whose mind has not undergone a rigorous training in systematic thinking, and in the art of drawing legitimate inferences from premises, was unfitted to enter on the discussion of these high topics; and that the sort of logical discipline which he needed was most likely to be obtained from geometry—the only mathematical science which in Plato’s time had been formulated and reduced to a system. And we in this country [England] have long acted on the same principle. Our future lawyers, clergy, and statesmen are expected at the University to learn a good deal about curves, and angles, and numbers and proportions; not because these subjects have the smallest relation to the needs of their lives, but because in the very act of learning them they are likely to acquire that habit of steadfast and accurate thinking, which is indispensable to success in all the pursuits of life.”

Joshua Girling Fitch (1824–1903) British educationalist

Source: Lectures on Teaching, (1906), pp. 291-292

William John Macquorn Rankine photo

“A physical theory, like an abstract science, consists of definitions and axioms as first principles, and of propositions, their consequences; but with these differences:—first, That in an abstract science, a definition assigns a name to a class of notions derived originally from observation, but not necessarily corresponding to any existing objects of real phenomena, and an axiom states a mutual relation amongst such notions, or the names denoting them; while in a physical science, a definition states properties common to a class of existing objects, or real phenomena, and a physical axiom states a general law as to the relations of phenomena; and, secondly,—That in an abstract science, the propositions first discovered are the most simple; whilst in a physical theory, the propositions first discovered are in general numerous and complex, being formal laws, the immediate results of observation and experiment, from which the definitions and axioms are subsequently arrived at by a process of reasoning differing from that whereby one proposition is deduced from another in an abstract science, partly in being more complex and difficult, and partly in being to a certain extent tentative, that is to say, involving the trial of conjectural principles, and their acceptance or rejection according as their consequences are found to agree or disagree with the formal laws deduced immediately from observation and experiment.”

William John Macquorn Rankine (1820–1872) civil engineer

Source: "Outlines of the Science of Energetics," (1855), p. 121; Second paragraph

Johann Gottlieb Fichte photo

“Every Individual can and must, under the given condition, construct the True World of Sense, — for this indeed has beyond the universal and formal laws above deduced, no other Truth and Reality than this universal harmony.”

Johann Gottlieb Fichte (1762–1814) German philosopher

XI.
Outline of the Doctrine of Knowledge (1810)
Context: There is but One Principle that proceeds from God; and thus, in consequence of the unity of the Power, it is possible for each Individual to schematise his World of Sense in accordance with the law of that original harmony; — and every Individual, under the condition of being found on the way towards the recognition of the Imperative, must so schematise it. I might say: — Every Individual can and must, under the given condition, construct the True World of Sense, — for this indeed has beyond the universal and formal laws above deduced, no other Truth and Reality than this universal harmony.

Ba Jin photo

“They judged my ideas according to one of my short stories, then deduced a variety of strange conclusions and decided which doctrine I belong to. I have been caught in this predicament all these years and cannot get rid of it…”

Ba Jin (1904–2005) Chinese novelist

Dedication to Emma Goldman
Context: Now my education, life and consciousness are talked about by those who cannot understand what I wrote, what I think, what is my life. They make me up from their subjective imagination and attack me publicly as well as secretly. Because my novels completely obscure my behaviour and ideas, and result in a lot of misunderstandings, my name is related to nihilism or humanism, although I have written a book of over three hundred pages to explain my ideas (this book is very easy to understand and without a metaphysical term). Those who talk about me never read it. They judged my ideas according to one of my short stories, then deduced a variety of strange conclusions and decided which doctrine I belong to. I have been caught in this predicament all these years and cannot get rid of it...

Joseph Priestley photo

“The History of Electricity is a field full of pleasing objects, according to all the genuine and universal principles of taste, deduced from a knowledge of human nature.”

Preface
The History and Present State of Electricity (1767)
Context: The History of Electricity is a field full of pleasing objects, according to all the genuine and universal principles of taste, deduced from a knowledge of human nature. Scenes like these, in which we see a gradual rise and progress in things, always exhibit a pleasing spectacle to the human mind. Nature, in all her delightful walks, abounds with such views, and they are in a more especial manner connected with every thing that relates to human life and happiness; things, in their own nature, the most interesting to us. Hence it is, that the power of association has annexed crowds of pleasing sensations to the contemplation of every object, in which this property is apparent.
This pleasure, likewise, bears a considerable resemblance to that of the sublime, which is one of the most exquisite of all those that affect the human imagination. For an object in which we see a perpetual progress and improvement is, as it were, continually rising in its magnitude; and moreover, when we see an actual increase, in a long period of time past, we cannot help forming an idea of an unlimited increase in futurity; which is a prospect really boundless, and sublime.

John Marshall photo
Plotinus photo

“[W]hen they write incantations, and utter them as to the stars, not only to [the bodies and] souls of these, but also to things superior to soul, what do they effect? They answer, charms, allurements, and persuasions, so that the stars hear the words addressed to them, and are drawn down; if any one of us knows how in a more artificial manner to utter these incantations, sounds, aspirations of the voice, and hissings, and such other particulars as in their writings are said to possess a magical power. …They likewise pretend that they can expel disease. And if, indeed, they say that they effect this by temperance and an orderly mode of life, they speak rightly, and conformably to philosophers. But now when they assert that diseases are daemons, and that they are able to expel these by words, and proclaim that they possess this ability, they may appear to the multitude to be more venerable, who admire the powers of magicians; but they will not persuade intelligent men that diseases have not their causes either from labours, or satiety, or indigence, or putrefaction, and in short from mutations which either have an external or internal origin. This, however, is manifest from the cure of diseases. For disease is deduced downward, so as to pass away externally, either through a flux of the belly, or the operation of medicine. Disease, also, is cured by letting of blood and fasting. …The disease …[is] something different from the daemon. …The manner, however, in which these things are asserted by the Gnostics, and on what account is evident; since for the sake of this, no less than of other things, we have mentioned these daemons. …And this must every where be considered, that he who pursues our form of philosophy, will, besides all other goods, genuinely exhibit simple and venerable manners, in conjunction with the possession of wisdom, and will not endeavour to become insolent and proud; but will possess confidence accompanied with reason, much security and caution, and great circumspection.”

Plotinus (203–270) Neoplatonist philosopher

Against the Gnostics

David Hume photo

“Principles taken upon trust, consequences lamely deduced from them, want of coherence in the parts, and of evidence in the whole, these are every where to be met with in the systems of the most eminent philosophers, and seem to have drawn disgrace upon philosophy itself.”

Introduction
A Treatise of Human Nature (1739-40)
Context: Nothing is more usual and more natural for those, who pretend to discover anything new to the world in philosophy and the sciences, than to insinuate the praises of their own systems, by decrying all those, which have been advanced before them. And indeed were they content with lamenting that ignorance, which we still lie under in the most important questions, that can come before the tribunal of human reason, there are few, who have an acquaintance with the sciences, that would not readily agree with them. 'Tis easy for one of judgment and learning, to perceive the weak foundation even of those systems, which have obtained the greatest credit, and have carried their pretensions highest to accurate and profound reasoning. Principles taken upon trust, consequences lamely deduced from them, want of coherence in the parts, and of evidence in the whole, these are every where to be met with in the systems of the most eminent philosophers, and seem to have drawn disgrace upon philosophy itself.

Alexander Hamilton photo

“There is yet a further and a weightier reason for the permanency of the Judicial offices, which is deducible from the nature of the qualifications they require.”

No. 78
The Federalist Papers (1787–1788)
Context: There is yet a further and a weightier reason for the permanency of the Judicial offices, which is deducible from the nature of the qualifications they require. It has been frequently remarked, with great propriety, that a voluminous code of laws is one of the inconveniences necessarily connected with the advantages of a free Government. To avoid an arbitrary discretion in the Courts, it is indispensable that they should be bound down by strict rules and precedents, which serve to define and point out their duty in every particular case that comes before them; and it will readily be conceived from the variety of controversies which grow out of the folly and wickedness of mankind, that the records of those precedents must unavoidably swell to a very considerable bulk, and must demand long and laborious study to acquire a competent knowledge of them. Hence it is, that there can be but few men in the society, who will have sufficient skill in the laws to qualify them for the stations of Judges. And making the proper deductions for the ordinary depravity of human nature, the number must be still smaller of those who unite the requisite integrity with the requisite knowledge. These considerations apprize us, that the Government can have no great option between fit characters; and that a temporary duration in office, which would naturally discourage such characters from quitting a lucrative line of practice to accept a seat on the Bench, would have a tendency to throw the administration of justice into hands less able, and less well qualified, to conduct it with utility and dignity.

Alfred Jules Ayer photo
Felix Adler photo

“Theologians often say that faith must come first, and that morality must be deduced from faith. We say that morality must come first, and faith, to those whose nature fits them to entertain it, will come out of the experience of a deepened moral life as its richest, choicest fruit.”

Felix Adler (1851–1933) German American professor of political and social ethics, rationalist, and lecturer

Section 9 : Ethical Outlook
Founding Address (1876), Life and Destiny (1913)
Context: Theologians often say that faith must come first, and that morality must be deduced from faith. We say that morality must come first, and faith, to those whose nature fits them to entertain it, will come out of the experience of a deepened moral life as its richest, choicest fruit.
Precisely because moral culture is the aim, we cannot be content merely to lift the mass of mankind above the grosser forms of evil. We must try to advance the cause of humanity by developing in ourselves, as well as in others, a higher type of manhood and womanhood than the past has known.
To aid in the evolution of a new conscience, to inject living streams of moral force into the dry veins of materialistic communities is our aim.
We seek to come into touch with the ultimate power in things, the ultimate peace in things, which yet, in any literal sense, we know well that we cannot know. We seek to become morally certain — that is, certain for moral purposes — of what is beyond the reach of demonstration. But our moral optimism must include the darkest facts that pessimism can point to, include them and transcend them.

“He had doubted the correctness of the law of refraction of light but when he found in 1661 that he could deduce it from his Principle, he not only resolved his doubts about the law but felt all the more certain that his Principle was correct.”

Morris Kline (1908–1992) American mathematician

Source: Mathematical Thought from Ancient to Modern Times (1972), p. 580
Context: Fermat knew that under reflection light takes the path requiring least time and, convinced that nature does indeed act simply and economically, affirmed in letters of 1657 and 1662 his Principle of Least Time, which states that light always takes the path requiring least time. He had doubted the correctness of the law of refraction of light but when he found in 1661 that he could deduce it from his Principle, he not only resolved his doubts about the law but felt all the more certain that his Principle was correct.... Huygens, who had at first objected to Fermat's Principle, showed that it does hold for the propagation of light in media with variable indices of refraction. Even Newton's first law of motion, which states that the straight line or shortest distance is the natural motion of a body, showed nature's desire to economize. These examples suggested that there might be a more general principle. The search for such a principle was undertaken by Maupertuis.

Koenraad Elst photo
Milton Friedman photo

“After the fall of communism, everybody in the world agreed that socialism was a failure. Everybody in the world, more or less, agreed that capitalism was a success. And every capitalist country in the world apparently deduced from that what the West needed was more socialism.”

Milton Friedman (1912–2006) American economist, statistician, and writer

Milton Friedman: The Rise of Socialism is Absurd and There’s No Such Thing as a Free Lunch https://www.youtube.com/watch?v=mKhfR8WC4Eo, Grand opening speech at Cato Institutes’ headquarters in Washington, D.C. (May 1993)

Enoch Powell photo
Ethan Allen photo