Inductive Quotes & Sayings

I have said that science is impossible without faith ... Inductive logic, the logic of Bacon, is rather something on which we can act than something which we can prove, and to act on it is a supreme assertion of faith ... Science is a way of life which can only fluorish when men are free to have faith. — Norbert Wiener

Inductive inference is the only process known to us by which essentially new knowledge comes into the world. — Ronald Fisher

The aim was to regulate the value of money by increasing or diminishing the quantity of it. The effects of these measures appeared to provide an inductive proof of the correctness of this superficial version of the Quantity Theory, and incidentally concealed the weaknesses of its logic. — Ludwig Von Mises

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

If you make the same guess often enough it ceases to be a guess and becomes a Scientific Fact. This is the inductive method. — C.S. Lewis

No discussion of logic is complete without a refresher course in the difference between inductive and deductive reasoning. By its strictest definition, inductive reasoning proves a general principle - your idea worth spreading - by highlighting a group of specific events, trends, or observations. In contrast, deductive reasoning builds up to a specific principle - again, your idea worth spreading - through a chain of increasingly narrow statements. — Jeremey Donovan

If we want to make sense of the possibility of successful inductive inference, and if we want to explain the possibility of laws of nature, we will need to appeal to something like natural kinds. This is, to be sure, a metaphysical commitment, but it is a metaphysical commitment that is implicit in science, as I see it. — Hilary Kornblith

The main importance of Francis Bacon's influence does not lie in any peculiar theory of inductive reasoning which he happened to express, but in the revolt against second-hand information of which he was a leader. — Alfred North Whitehead

The deductive method is the mode of using knowledge, and the inductive method the mode of acquiring it. — Henry Mayhew

A formal and consistent theory of inductive processes cannot represent the operation of every human mind in detail; it will represent an ideal mind, but it will help the actual mind to approximate that ideal. — Harold Jeffreys

Mr Baley", said Quemot, "you can't treat human emotions as though they were built about a positronic brain".
"I'm not saying you can. Robotics is a deductive science and sociology an inductive one. But mathematics can be made to apply in either case. — Isaac Asimov

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

His name was Anderson and he had little gift for communication. Like most technicians, he had a
terror and a contempt for speculation. The inductive leap was not for him. He dug a step and pulled himself up one single step, the way a man climbs the last shoulder of a mountain. He had great contempt, born of fear, for the Hamiltons, for they all half believed they had wings - and they got some bad falls that way.
Anderson never fell, never slipped back, never flew. His steps moved slowly, slowly upward, and in the end, it is said, he found what he wanted - color film. He married Una, perhaps, because she had little humor, and this reassured him. Una wrote bleak letters without joy but also without self-pity. She was well and she hoped her family was well. — John Steinbeck

It's all over, it's all over,' I muttered to myself. My grief resembled that of a fainthearted student who has failed an examination: I made a mistake! I made a mistake! Simply because I didn't solve that X, everything was wrong. If only I'd solved that X at the beginning, everything would have been all right. If only I had used deductive methods like everyone else to solve the mathematics of life. To be half-clever was the worst thing I could have done. I alone depended upon the inductive method, and for the simple reason I failed. — Yukio Mishima

The intellectual equipment needed for the job of the future is an ability to define problems, quickly assimilate relevant data, conceptualize and reorganize the information, make deductive and inductive leaps with it, ask hard questions about it, discuss findings with colleagues, work collaboratively to find solutions and then convince others. — Robert Reich

This is the greatest mystery of the human mind
the inductive leap. Everything falls into place, irrelevancies relate, dissonance becomes harmony, and nonsense wears a crown of meaning. But the clarifying leap springs from the rich soil of confusion, and the leaper is not unfamiliar with pain. — John Steinbeck

What hadn't been realized in the literature until now is that merely to describe how severely something has been tested in the past itself embodies inductive assumptions, even as a statement about the past. — Robert Nozick

Magnificent phrases like 'inductive reactance' flow effortlessly from the lips of guys who can't cook hot dogs or find the flashing blue light in a K-Mart store. — Kenn Amdahl

The seers of ancient India had, in their experiments and efforts at spiritual training and the conquest of the body, perfected a discovery which in its importance to the future of human knowledge dwarfs the divinations of Newton and Galileo , even the discovery of the inductive and experimental method in Science was not more momentous ... — Sri Aurobindo

I distrust thought. The interior life is highly overrated. I don't like the wispy and the vague ... or inductive logic in any kind of writing. I'm impatient with writers who make too much sense. The better things that I've done have come to me by instinct. — Barry Hannah

Marxism in this country had even been an eccentric and quixotic passion. One oppressed class after another had seemed finally to miss the point. The have-nots, it turned out, aspired mainly to having. The minorities seemed to promise more, but finally disappointed: it developed that they actually cared about the issues, that they tended to see the integration of the luncheonette and the seat in the front of the bus as real goals, and only rarely as ploys, counters in a larger game. They resisted that essential inductive leap from the immediate reform to the social ideal, and, just as disappointingly, they failed to perceive their common cause with other minorities, continued to exhibit a self-interest disconcerting in the extreme to organizers steeped in the rhetoric of "brotherhood."
And then, at that exact dispirited moment when there seemed no one at all willing to play the proletariat, along came the women's movement. — Joan Didion

The validity of all the Inductive Methods depends on the assumption that every event, or the beginning of every phenomenon, must have some cause; some antecedent, upon the existence of which it is invariably and unconditionally consequent. — John Stuart Mill

The increasing technicality of the terminology employed is also a serious difficulty. It has become necessary to learn an extensive vocabulary before a book in even a limited department of science can be consulted with much profit. This change, of course, has its advantages for the initiated, in securing precision and concisement of statement; but it tends to narrow the field in which an investigator can labour, and it cannot fail to become, in the future, a serious impediment to wide inductive generalisations. — Thomas George Bonney

Anything that had happened once on Earth should be expected millions of times elsewhere in the Universe; that was almost an article of faith among scientists. — Arthur C. Clarke

Georgie, I've got it," she said. "I've guessed what it means."

Now though Georgie was devoted to his Lucia, he was just as devoted to inductive reasoning, and Daisy Quantock was, with the exception of himself, far the most powerful logician in the place.

"What is it, then?" he asked.

"Stupid of me not to have thought of it at once," said Daisy. "Why, don't you see? Pepino is Auntie's heir, for she was unmarried, and he's the only nephew, and probably he has been left piles and piles. So naturally they say it's a terrible blow. Wouldn't do to be exultant. They must say it's a terrible blow, to show they don't care about the money. The more they're left, the sadder it is. So natural. I blame myself for not having thought of it at once... — E.F. Benson

It is difficult to distinguish deduction from what in other circumstances is called problem-solving. And concept learning, inference, and reasoning by analogy are all instances of inductive reasoning. (Detectives typically induce, rather than deduce.) None of these things can be done separately from each other, or from anything else. They are pseudo-categories. — Frank Smith

Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean way appears as a systematic, deductive science; but mathematics in the making appears as an experimental, inductive science. Both aspects are as old as the science of mathematics itself. — George Polya

All logic texts are divided into two parts. In the first part, on deductible logic, the fallacies are explained; in the second part, on inductive logic, they are committed. — Morris Raphael Cohen

Even science is inductive, relying on observations and best explanations, not always deductive conclusions. — Nabeel Qureshi

Other approaches to studying language, and there are many, go by names like poetics, philology, and rhetoric, but as long as we have had the word in English, linguistics has been associated with the methods, goals, and results of science.1 When William Whewell (who is also responsible for the coinage, scientist) first proposed the term, it was in his History of the Inductive Sciences (1837.1:cxiv; he was borrowing it from the Germans, who, Teutonically
enough, later came to prefer Sprachwissenschaft). — Randy Allen Harris

[Vestiges begins] from principles which are at variance with all sober inductive truth. The sober facts of geology shuffled, so as to play a rogue's game; phrenology (that sinkhole of human folly and prating coxcombry); spontaneous generation; transmutation of species; and I know not what; all to be swallowed, without tasting and trying, like so much horse-physic!! Gross credulity and rank infidelity joined in unlawful marriage, and breeding a deformed progeny of unnatural conclusions! — Adam Sedgwick

People in good moods are better at inductive reasoning and creative problem solving. — Peter Salovey

Political economy has only become a science since it has been confined to the results of inductive investigation. — Jean-Baptiste Say

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

You should carefully study the Art of Reasoning, as it is what most people are very deficient in, and I know few things more disagreeable than to argue, or even converse with a man who has no idea of inductive and deductive philosophy. — William John Wills

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

[Patricia Greenfield] concluded that "every medium develops some cognitive skills at the expense of others." Our growing use of the Net and other screen-based technologies has led to the "widespread and sophisticated development of visual-spatial skills." We can, for example, rotate objects in our minds better than we used to be able to. But our "new strengths in visual-spatial intelligence" go hand in hand with a weakening of our capacities for the kind of "deep processing" that underpins "mindful knowledge acquisition, inductive analysis, critical thinking, imagination, and reflection. — Nicholas Carr

Inductive reason, which alone makes man master of his environment, is an achievement; and when once born it must be reinforced by inhibiting the growth of other modes of knowledge. — Muhammad Iqbal