Induction Quotes - page 2
...the real origin and essence of the hypnotic condition, is the induction of a habit of abstraction or mental concentration, in which, as in reverie or spontaneous abstraction, the powers of the mind are so much engrossed with a single idea or train of thought, as, for the nonce, to render the individual unconscious of, or indifferently conscious to, all other ideas, impressions, or trains of thought. The hypnotic sleep, therefore, is the very antithesis or opposite mental and physical condition to that which precedes and accompanies common sleep...
James Braid
The characteristic activity of science is not construction, but induction. The more often something has occurred in the past, the more certain that it will in all the future. Knowledge relates solely to what is and to its recurrence. New forms of being, especially those arising from the historical activity of man, lie beyond empiricist theory. Thoughts which are not simply carried over from the prevailing pattern of consciousness, but arise from the aims and resolves of the individual, in short, all historical tendencies that reach beyond what is present and recurrent, do not belong to the domain of science.
Max Horkheimer
The mental operation by which one achieves new concepts and which one denotes generally by the inadequate name of induction is not a simple but rather a very complicated process. Above all, it is not a logical process although such processes can be inserted as intermediary and auxiliary links. The principle effort that leads to the discovery of new knowledge is due to abstraction and imagination.
Ernst Mach
Robert [Grosseteste] became much interested in science and scientific method ... He was conscious of the dual approach by means of induction and deduction (resolution and composition); i. e., from the empirical knowledge one proceeds to probable general principles, and from these as premises one them derives conclusions which constitute verifications or falsifications of the principles. This approach to science was not that far removed from Aristotle ...
Carl B. Boyer
Grosseteste appears to have been the first medieval writer to recognize and deal with the two fundamental methodological problems of induction and experimental verification and falsification which arose when the Greek conception of geometrical demonstration was applied to the world of experience. He appears to have been the first to set out a systematic and coherent theory of experimental investigation and rational explanation by which the Greek geometrical method was turned into modern experimental science. As far as is known, he and his successors were the first to use and exemplify such a theory in the details of original research into concrete problems.
Alistair Cameron Crombie
Zend-Avesta, a truly life giving word creating new life in knowledge as in faith! ...As Fechner in his Nanna sought to show that plants have souls, so the point of departure of his contemplations in the Zend-Avesta is the doctrine that the stars have souls. The method he employs is not that of the abstraction of general laws by induction and the application and testing of these in the explanation of nature, it is analogy. He compares the earth with our own organism, which we know to be endowed with a soul. He searches out not merely in a one-sided way the similarities, but does equal justice to the dissimilarities, too, and so arrives at the conclusion that all the former show the earth to be a being with a soul, and that all the latter indicate that it is a being with a soul far higher than our own.
Bernhard Riemann
A system is a set of objects comprising all that stands to one another in a group of connected relations. Induction according to ordinary logic rises from the contemplation of a sample of a class to that of a whole class; but according to the logic of relatives it rises from the comtemplation of a fragment of a system to the envisagement of the complete system.
Charles Sanders Peirce
It is actually impossible in theory to determine exactly what the hidden mechanism is without opening the box, since there are always many different mechanisms with identical behavior. Quite apart from this, analysis is more difficult than invention in the sense in which, generally, induction takes more time to perform than deduction: in induction one has to search for the way, whereas in deduction one follows a straightforward path.
Valentino Braitenberg
There we were right in the heart one of the largest Metropolitan Centres of the world, partaking in a gesture that was as old as the beginning of diplomatic relations between sovereign nations in so splendid a manner as must, without doubt, be such a sobering induction to any envoy to Japan. It had a tremendous impact on my outlook, and I look eagerly forward to doing, saying, advising and thinking whatever may best serve the preservation and enhancement of Fiji in Japan.
Tevita Momoedonu
What is easier to remember, a collection of facts glued together, or a story, something that offers a series of logical links? Causality is easier to commit to memory. ...What is induction exactly? ...It is very handy, as the general takes much less room in onel's memory than a collection of particulars. The effect of such compression is the reduction in the degree of detected randomness.
Nassim Nicholas Taleb
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. The oath taken in the presence of the people becomes a mutual covenant. The officer covenants to serve the whole body of the people by a faithful execution of the laws, so that they may be the unfailing defense and security of those who respect and observe them, and that neither wealth, station, nor the power of combinations shall be able to evade their just penalties or to wrest them from a beneficent public purpose to serve the ends of cruelty or selfishness.
Benjamin Harrison
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