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“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“The deductive method is the mode of using knowledge, and the inductive method the mode of acquiring it.”
Henry Mayhew“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, Sweet Thursday“What is important is to understand the true boundaries of reality, not the probable boundaries of possible future events. Although boundary conditions operate on the future, they are probabilistic constraints, not absolutely determined fact. We assume that ten minutes hence, the room we are in will still exist. It is a boundary condition that will define the next ten minutes in our space/time coordinate. But we cannot know who will be in the room ten minutes hence; that is free to be determined. One may ask if we can really know that the room will exist at any future moment. This is where induction enters the picture, since in truth we cannot know with certainty. There is no absolutely rigorous way of establishing that. But we can make the inductive leap of faith that has to do with accumulated experience. We project that the existence of the room will remain a boundary condition, but in principle in the next ten minutes there could be an earthquake and this building might not be left standing. However, for that to happen, the boundary condition will have to be radically disrupted in some unexpected and improbable manner. What is so curious is that such a thing could occur.”
Terence McKenna, True Hallucinations“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“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“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 Theory of Money and Credit“A woman anticipates danger by instinct, rather than inductive reasoning. Due to this, when faced with danger due to passionate feelings related to their basic needs, women are impelled by reasoning, conditioned by instincts acquired from family traditions and the conventions of her social stratum, much more than men are.”
මාර්ටින් වික්රමසිංහ, Gamperaliya“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, Lucia in London“[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, The Shallows: What the Internet is Doing to Our Brains