Quotes & Sayings About Induction

There's an empty shelf here with your name and dates?"

"There is. And it was beginning to sound nice. But then I got called in to this meeting. An induction ceremony. Some crazy old man and his granddaughter." He stands, guides me up beside him. "And I don't regret it. Now, go home. — Victoria Schwab

If it is love that makes the world go round, it is self-induction that makes electromagnetic waves go round the world. — Oliver Heaviside

One attempt to avoid the problem of induction involves weakening the demand that scientific knowledge be proven true, and resting content with the claim that scientific claims can be shown to be probably true in the light of the evidence. So the vast number of observations that can be invoked to support the claim that materials denser than air fall diWInwards on earth, although it does not permit us to prove the truth of the claim, does warrant the assertion that the claim is probably true. — Alan F. Chalmers

The word 'proof' should strictly only be used when we are dealing with deductive inferences.... Popper claimed that scientists only need to use deductive inferences.... So if a scientist is only interested in demonstrating that a given theory is false, she may be able to accomplish her goal without the use of inductive inferences.... When a scientist collects experimental data, her aim might be to show that a particular theory...is false. She will have to resort to inductive reasoning.... So Popper's attempt to show that science can get by without induction does not succeed. — Samir Okasha

A woman might claim to retain some of the child's faculties, although very limited and defused, simply because she has not been encouraged to learn methods of thought and develop a disciplined mind. As long as education remains largely induction ignorance will retain these advantages over learning and it is time that women impudently put them to work. — Germaine Greer

Induction is the process of taking things within our experience to be representative of the world outside our experience. It is a process of projection or extrapolation. — Simon Blackburn

Beyond the natural numbers, addition, multiplication, and mathematical induction are intuitively clear. — L. E. J. Brouwer

Le Corbusier was the sort of relentlessly rational intellectual that only France loves wholeheartedly, the logician who flies higher and higher in ever-decreasing concentric circles until, with one last, utterly inevitable induction, he disappears up his own fundamental aperture and emerges in the fourth dimension as a needle-thin umber bird. — Tom Wolfe

There was once upon a time a census officer who had to record the names of all householders in a certain Welsh village. The first that he questioned was called William Williams; so were the second, third, fourth.... At last he said to himself: 'This is tedious; evidently they are all called William Williams. I shall put them down so and take a holiday'. But he was wrong; there was just one whose name was John Jones. This shows that we may go astray if we trust too implicitly to induction by simple enumeration. — Bertrand Russell

I will calmly wait for my induction to the Baseball Hall of Fame. Don't I have the numbers to be inducted? — Sammy Sosa

My intention is not to replace one set of general rules by another such set: my intention is, rather, to convince the reader that all methodologies, even the most obvious ones, have their limits. The best way to show this is to demonstrate the limits and even the irrationality of some rules which she, or he, is likely to regard as basic. In the case that induction (including induction by falsification) this means demonstrating how well the counterinductive procedure can be supported by argument. — Paul Karl Feyerabend

If the [Vestiges] be true, the labours of sober induction are in vain; religion is a lie; human law is a mass of folly, and a base injustice; morality is moonshine; our labours for the black people of Africa were works of madmen; and man and woman are only better beasts! — Adam Sedgwick

French wines may be said but to pickle meat in the stomach, but this is the wine that digests, and doth not only breed good blood, but it nutrifieth also, being a glutinous substantial liquor; of this wine, if of any other, may be verified that merry induction: That good wine makes good blood, good blood causeth good humors, good humors cause good thoughts, good thoughts bring forth good works, good works carry a man to heaven, ergo, good wine carrieth a man to heaven. — James Howell

I am convinced that it is impossible to expound the methods of induction in a sound manner, without resting them upon the theory of probability. Perfect knowledge alone can give certainty, and in nature perfect knowledge would be infinite knowledge, which is clearly beyond our capacities. We have, therefore, to content ourselves with partial knowledge-knowledge mingled with ignorance, producing doubt. — William Stanley Jevons

Enter RUMOUR, painted full of tongues.
[Stage direction, Henry IV, Part 2, Induction] — William Shakespeare

In experimental philosophy, we are to look upon propositions inferred by general induction from phenomena as accurately or very nearly true, notwithstanding any contrary hypotheses that may be imagined, till such time as other phenomena occur by which they may either be made more accurate or liable to exceptions. — Isaac Newton

Science, in its ultimate ideal, consists of a set of propositions arranged in a hierarchy, the lowest level of the hierarchy being concerned with particular facts, and the highest with some general law, governing everything in the universe. The various levels in the hierarchy have a two-fold logical connection, travelling one up, one down; the upward connection proceeds by induction, the downward by deduction. — Bertrand Russell

There has been a controversy started of late, much better worth examination, concerning the general foundation of Morals; whether they be derived from Reason, or from Sentiment; whether we attain the knowledge of them by a chain of argument and induction, or by an immediate feeling and finer internal sense; whether, like all sound judgement of truth and falsehood, they should be the same to every rational intelligent being; or whether, like the perception of beauty and deformity, they be founded entirely on the particular fabric and constitution of the human species. — David Hume

In a syllogism (1. All men are mortal, 2. Socrates is a man, 3. Therefore Socrates is mortal), the generalization (all men are mortal) must have been arrived at by induction. No inductive process is ever absolutely certain. There is always the leap, the assumption, of generalizing and therefore one of the premises of a syllogism must have an element of uncertainty. So it cannot prove anything with certainty.

A syllogism is therefore a signpost pointing where to look for direct experience, but can inherently never give information that is 100% certain. But a syllogism (on metaphysical subjects) can also point to what can, inherently, never be experienced; then it is an anomaly. — Nanamoli Thera

The only hope [of science] ... is in genuine induction. — Francis Bacon

If we have no idea why a statement is true, we can still prove it by induction. — Gian-Carlo Rota

What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the principle of mathematical induction. The validity of these premises is an entirely independent matter which can safely be left to philosophers. — Timothy Gowers

I think some intuition leaks out in every step of an induction proof. — Jim Propp

The process of induction is the process of assuming the simplest law that can be made to harmonize with our experience. — Ludwig Wittgenstein

We may put it in this way: Deduction depends on Induction, if general propositions are only known to us through the facts: Induction depends on Deduction, because one fact can never prove another, except so far as what is true of the one is true of the other and of any other of the same kind; and because, to exhibit this resemblance of the facts, it must be stated in a general proposition. — Carveth Read

1 + 1 = 2 is simply an induction from experience. It is in no way logically or arithmetically 'necessary'. It is induced knowledge, on a par with 'All swans are white'. — Paul Strathern

MID-TWENTIES BREAKDOWN: A period of mental collapse occurring in one's twenties, often caused by an inability to function outside of school or structured environments coupled with a realization of one's essential aloneness in the world. Often marks induction into the ritual of pharmaceutical usage. — Douglas Coupland

My kitchen in New York City is in the Richard Meier building on Perry Street, so it's ultra-modern: white, glass and transparent. It's 180 square feet, with an induction stove. Everything's hidden, so you don't see the microwave or the fridge. — Jean-Georges Vongerichten

[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and verification; and it affords a boundless scope for the exercise of the highest efforts of imagination and invention. — James Joseph Sylvester

These are my enticements, and they are sufficent to conquer all fear and danger or death ... with the induction of the joy of a child feels when embarks a little boat. — Mary Shelley

As in Mathematicks, so in Natural Philosophy, the Investigation of difficult Things by the Method of Analysis, ought ever to precede the Method of Composition. This Analysis consists in making Experiments and Observations, and in drawing general Conclusions from them by Induction, and admitting of no Objections against the Conclusions, but such as are taken from Experiments, or other certain Truths. For Hypotheses are not to be regarded in experimental Philosophy. — Isaac Newton

The lives of all of us have been moulded largely by induction through suggestion. — William Walker Atkinson

Almost everyone ... seems to be quite sure that the differences between the methodologies of history and of the natural sciences are vast. For, we are assured, it is well known that in the natural sciences we start from observation and proceed by induction to theory. And is it not obvious that in history we proceed very differently? Yes, I agree that we proceed very differently. But we do so in the natural sciences as well. — Karl Popper

Science sometimes improves hypotheses and sometimes disproves them. But proof would be another matter and perhaps never occurs except in the realms of totally abstract tautology. We can sometimes say that if such and such abstract suppositions or postulates are given, then such and such abstract suppositions or postulates are given, then such and such must follow absolutely. But the truth about what can be perceived or arrived at by induction from perception is something else again. — Gregory Bateson

In every science, after having analysed the ideas, expressing the more complicated by means of the more simple, one finds a certain number that cannot be reduced among them, and that one can define no further. These are the primitive ideas of the science; it is necessary to acquire them through experience, or through induction; it is impossible to explain them by deduction. — Giuseppe Peano

I think the media plays into the hands of false induction, genuine seduction taking place, wrong deductions, and the inevitable reductions. That's the way and the path of the visual. — Ravi Zacharias

A great part of its [higher arithmetic] theories derives an additional charm from the peculiarity that important propositions, with the impress of simplicity on them, are often easily discovered by induction, and yet are of so profound a character that we cannot find the demonstrations till after many vain attempts; and even then, when we do succeed, it is often by some tedious and artificial process, while the simple methods may long remain concealed. — Carl Friedrich Gauss

Both induction and deduction, reasoning from the particular and the general, and back again from the universal to the specific, form the essence to scientific thinking. — Hans Christian Von Baeyer

The chicken noticed that the farmer came every day to feed it. It predicted that the farmer would continue to bring food every day. Inductivists think that the chicken had "extrapolated" its observations into a theory, and that each feeding time added justification to that theory. Then one day the farmer came and wrung the chicken's neck. This inductively justifies the conclusion that induction cannot justify any conclusion. — Bertrand Russell

Everything you do, everything you sense and say is experiment. No deduction final. Nothing stops until dead and perhaps not even then, because each life creates endless ripples. Induction bounces within and you sensitize yourself to it. Deduction conveys illusions of absolutes. Kick the truth and shatter it! — Frank Herbert

The general mental qualification necessary for scientific advancement is that which is usually denominated "common sense," though added to this, imagination, induction, and trained logic, either of common language or of mathematics, are important adjuncts. — Joseph Henry

There is a tradition of opposition between adherents of induction and of deduction. In my view it would be just as sensible for the two ends of a worm to quarrel. — Alfred North Whitehead

There is no constitutional or legal requirement that the President shall take the oath of office in the presence of the People but there is so manifest an appropriateness in the public induction to office of the chief executive officer of the nation that from the beginning of the Government the people to whose service the official oath consecrates the officer, have been called to witness the solemn ceremonial — Benjamin Harrison

It's a matter of balance between deduction and induction - between reason and empiricism - and in 1620 the English philosopher Francis Bacon published his Novum Organum, or "new instrument," which described science as a blend of sensory data and reasoned theory. Ideally, Bacon argued, one should begin with observations, then formulate a general theory from which logical predictions can be made, then check the predictions against experiment.37 If you don't give yourself a reality check you end up with half-baked (and often fully baked) ideas, — Michael Shermer

The idea behind the meta-induction is that all of our theories are fundamentally provisional and quite possibly wrong, if we can add that idea to our cognitive toolkit, we will be better able to listen with curiosity and empathy to those whose theories contradict our own. We will be better able to pay attention to counterevidence - those anomalous bits of data that make our picture of the world a little weirder, more mysterious, less clean, less done. And we will be able to hold our own beliefs a bit more humbly, in the knowledge that better ideas are almost certainly on the way. — Kathryn Schulz

we mistake induction for generation. — Richard Farina

It is time, therefore, to abandon the superstition that natural science cannot be regarded as logically respectable until philosophers have solved the problem of induction. The problem of induction is, roughly speaking, the problem of finding a way to prove that certain empirical generalizations which are derived from past experience will hold good also in the future. — A.J. Ayer

In experimental philosophy, propositions gathered from phenomena by induction should be considered either exactly or very nearly true notwithstanding any contrary hypotheses, until yet other phenomena make such propositions either more exact or liable to exceptions. — Isaac Newton

Today, what's normal is being redefined: from vaginal birth to surgical birth; from 'My water broke,' to 'Let's break your water;' from 'It's time' to 'It's time for the induction.' As medical anthropologist Robbie Davis-Floyd writes, 'in the early twenty-first century, we do not know what normal birth is.' Most practicing obstetricians have never witnessed an unplugged birth that wasn't an accident. Women are even beginning to deny normal birth to themselves: if 'normal' means being induced, immobilized by wires and tubes, sped up with drugs, all the while knowing that there's a good chance of surgery, well, might as well just cut to the chase, so to speak. 'Just give me a cesarean,' some are saying. And who can blame them? They want to avoid what they think of as normal birth. — Jennifer Block

Breast stimulation is especially effective in starting labor at term when it is combined with sexual intercourse. Unless your partner is an abysmally poor lover, this combination is by far the most enjoyable method of induction. — Ina May Gaskin

Among other things, autoimmune disorders are an induction into a world of unstable information and no reliable expertise. — Ben Marcus

If you become very close to your teacher, if you do well in your meditation, a deep emotional bond will develop between both of you over a period of time. You can be thousands of miles away from your teacher and find that induction is always taking place. That's the ideal. — Frederick Lenz

There is nothing which an untrained mind shows itself more hopelessly incapable, than in drawing the proper general conclusions from its own experience. And even trained minds, when all their training is on a special subject, and does not extend to the general principles of induction, are only kept right when there are ready opportunities of verifying their inferences by facts. — John Stuart Mill

Anything is easy to the man who sees ... The open eye of the open mind
that has more to do with real detective work than all the deduction and induction and analysis ever devised. — Samuel Hopkins Adams

In law, as in every other branch of knowledge, the truths given by induction tend to form the premises for new deductions. The lawyers and the judges of successive generations do not repeat for themselves the process of verification any more than most of us repeat the demonstrations of the truths of astronomy or physics. — Benjamin N. Cardozo

Until the seventeenth century there was no concept of evidence with which to pose the problem of induction! — Ian Hacking

However logical our induction, the end of the thread is fastened upon the assurance of faith. — Edwin Hubbel Chapin

Observation and experiment for gathering material, induction and deduction for elaborating it: these are are only good intellectual tools. — Francis Bacon

I look at things and think about them,' Folly replied. 'And use my intuition, of course, and deduction and induction, as well as any historical or theoretical models that seem to apply. — Jim Butcher

Induction makes you feel guilty for getting something out of nothing, and it is artificial, but it is one of the greatest ideas of civilization. — Herbert Wilf

The game theoretical analysis of the chain store game by backward induction is very easy and does not put any strain on the cognitive abilities of human beings. Even game theoretically untrained persons understand the backward induction argument without difficulty. Nevertheless, the conclusion is behaviorally unacceptable. The author was so worried about this contradiction that he felt three weeks of physical discomfort. — Reinhard Selten

The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Indeed, we should use such a discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them; in both cases we may learn something useful. — Leonhard Euler

For me the problem of induction is a problem about the world: a problem of how we, as we are now (by our present scientific lights), in a world we never made, should stand better than random, or coin-tossing chances changes of coming out right when we predict by inductions ... — Willard Van Orman Quine

Electricity, Werner is learning, can be static by itself. But couple it with magnetism, and suddenly you have movement - waves. Fields and circuits, conduction and induction. Space, time, mass. The air swarms with so much that is invisible! How he wishes he had eyes to see the ultraviolet, eyes to see the infrared, eyes to see radio waves crowding the darkening sky, flashing through the walls of the house. — Anthony Doerr

The very hope of experimental philosophy, its expectation of constructing the sciences into a true philosophy of nature, is basedon induction, or, if you please, the a priori presumption, that physical causation is universal; that the constitution of nature is written in its actual manifestations, and needs only to be deciphered by experimental and inductive research; that it is not a latent invisible writing, to be brought out by the magic of mental anticipation or metaphysical mediation. — Chauncey Wright

To find themselves utterly alone at night where company is desirable and expected makes some people fearful; but a case more trying by far to the nerves is to discover some mysterious companionship when intuition, sensation, memory, analogy, testimony, probability, induction--every kind of evidence in the logician's list--have united to persuade consciousness that it is quite alone. — Thomas Hardy

One might get the impression that I recommend a new methodology which replaces induction by counterinduction and uses a multiplicity of theories, metaphysical views, fairy tales, instead of the customary pair theory/observation. This impression would certainly be mistaken. My intention is not to replace one set of general rules by another such set: my intention is rather to convince the reader that all methodologies, even the most obvious ones, have their limits. — Paul Feyerabend

It is possible to express the laws of thermodynamics in the form of independent principles , deduced by induction from the facts of observation and experiment, without reference to any hypothesis as to the occult molecular operations with which the sensible phenomena may be conceived to be connected; and that course will be followed in the body of the present treatise. But, in giving a brief historical sketch of the progress of thermodynamics, the progress of the hypothesis of thermic molecular motions cannot be wholly separated from that of the purely inductive theory. — William John Macquorn Rankine

On teacher education: induction into current mandates must not turn into seduction away from best practice. — Andy Hargreaves

At Bob Dylan's induction into the Rock and Roll Hall of Fame in 1988, Bruce Springsteen described hearing Dylan's music for the very first time. Springsteen was fifteen, he said, riding in the car with his mother, idly listening to the radio, when "Like a Rolling Stone" came on. It was as though, Springsteen recalled, "somebody took his boot and kicked open the door to your mind." His mother's verdict: "That man can't sing." Mrs. Springsteen's response reminds us that we don't all react the same way to the same experience - and her son's reminds us that life holds moments when our perspective dramatically shifts, when our assumptions are deeply challenged, when we see new possibilities or sense for the first time that whatever has been holding us back from freedom or creativity or new ventures might actually be overcome. There — Sharon Salzberg

I think the world divides neatly into those who are excited by the managed induction of terror and those who are not. I do not find terror exciting. I find it terrifying. One of my basic goals is to subject my nervous system to as little total terror as possible. The cruel paradox of course is that this kind of makeup usually goes hand in hand with a delicate nervous system that's extremely easy to terrify. — David Foster Wallace

This inductively justifies the conclusion that induction cannot justify any conclusions. — David Deutsch

Finding a mechanism does not bypass the problem of induction. — Simon Blackburn

It would appear to a quoting dilettante - i.e., one of those writers and scholars who fill up their texts with phrases from some dead authority - that, as phrased by Hobbes, "from like antecedents flow like consequents." Those who believe in the unconditional benefits of past experience should consider this pearl of wisdom allegedly voiced by a famous ship's captain:
"But in all my experience, I have never been in any accident ... of any sort worth speaking about. I have seen but one vessel in distress in all my years at sea. I never saw a wreck and never have been wrecked nor was I ever in any predicament that threatened to end in disaster of any sort." E. J. Smith, 1907, Captain, RMS
Titanic Captain Smith's ship sank in 1912 in what became the most talked-about shipwreck in history. — Nicholas Nassim Taleb

When philosophic reason is clear and certain by intuition or necessary induction, no subsequent revelation supported by prophecies or miracles can supersede it. — John Adams

Nature has established patterns originating in the return of events, but only for the most part. New illnesses flood the human race, so that no matter how many experiments you have done on corpses, you have not thereby immposd a limit on the nature of events so that in the future they could not vary. — Gottfried Wilhelm Leibniz

The so-called law of induction cannot possibly be a law of logic, since it is obviously a proposition with a sense.
Nor, therefore, can it be an a priori law. — Ludwig Wittgenstein

When I was 19, I thought I wanted to be an English civil servant. It was the most exotic thing at the time - can you imagine, in the middle of the IRA bombing campaigns? I saw an ad inviting Irish applicants for an induction course, so I signed up. — Colm Toibin

Whatever lies beyond the limits of experience, and claims another origin than that of induction and deduction from established data, is illegitimate. — George Henry Lewes

As Jung noted in his Psychology of the Transference, "Psychological induction inevitably causes the two parties to get involved in the transformation of the third and to be themselves transformed in the process" (1946, p. 199, italics added). This is in the theoretical and phenomenological zone of Odgen's "analytic third, — Anonymous

Gods induction, life's construction, these instruct will save every living thing. Can't you see that life's connected? — Stevie Wonder

The body which will be loved is in advance selected and manipulated by the lens, subjected to a kind of zoom effect which magnifies it, brings it closer, and leads the subject to press his nose to the glass: is it not the scintillating object which a skillful hand causes to shimmer before me and will hypnotize me, capture me? This "affective contagion," this induction, proceeds from others, from the language, from books, from friends: no love is original. (Mass culture is a machine for showing desire: here is what must interest you, it says, as if it guessed that men are incapable of finding what to desire by themselves.) — Roland Barthes

Model building is the art of selecting those aspects of a process that are relevant to the question being asked. As with any art, this selection is guided by taste, elegance, and metaphor; it is a matter of induction, rather than deduction. High science depends on this art. — John Henry Holland

Twenty-eight years ago, I created my first game on an Apple II in my bedroom closet at a time when the interactive entertainment industry was taking its first baby steps. Today the games business has grown to a multi-billion dollar industry and we are just at the tip of the iceberg. I'm thrilled to have been a part of this successful journey and I'm extremely honored by the Academy's Hall of Fame induction. — Richard Garriott

Now this principle of induction cannot be a purely logical truth like a tautology or an analytic statement ... — Karl Popper

Since my induction into the Sports Hall of Fame, I have wanted to have my No. 3 Chevy on exhibit for sports fans to see. I hope others will enjoy the car as much as I have. — Junior Johnson

Induction for deduction, with a view to construction. — Auguste Comte

The world divides into those who like the managed induction of terror and those who don't. I do not find terror exciting. I find it terrifying. — David Foster Wallace

Science as we now understand the word is of later birth. If its germinal origin may be traced to the early period when Observation, Induction, and Deduction were first employed, its birth must be referred to that comparatively recent period when the mind, rejecting the primitive tendency to seek in supernatural agencies for an explanation of all external phenomena, endeavoured, by a systematic investigation of the phenomena themselves to discover their invariable order and connection. — George Henry Lewes

We physicists, on the other hand, must take for granted that the things that exist by nature are, either all or some of them, in motion - which is indeed made plain by induction. — Aristotle.

Induction is the glory of science and the scandal of philosophy. — C. D. Broad

It is important to note that there exist vast gender differences in the global role of papillomaviruses in human cancers. This is mainly due to the role of this virus family in the induction of cancer of the cervix. — Harald Zur Hausen

The Syllogism consists of propositions, propositions consist of words, words are symbols of notions. Therefore if the notions themselves (which is the root of the matter) are confused and over-hastily abstracted from the facts, there can be no firmness in the superstructure. Our only hope therefore lies in a true induction. — Francis Bacon