The Principles of Science: A Treatise on Logic and Scientific Method |
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Common terms and phrases
ABC ABC ABCD amount apparent approximate arise arithmetic arithmetic mean ascertain assert astronomers balls body calculation cause coincidence colour deductive deductive reasoning density determined disjunctive proposition earth effect electricity employed equal equation equivalent event exactly exist experiment expression fact force give gravity happen heat hypothesis identity induction inference infinitely instance inverse inverse logical investigation J. S. Mill James Bernoulli John Herschel knowledge Law of Error Laws of Thought light Logical Alphabet logical conditions magnetic magnitude manner mathematical mean measure metal method mode motion nature negative number of combinations objects observations obtain pendulum phenomena Philosophical planets possible premises principle problem proposition prove qualities quantity question reasoning refraction regards relation render simple specific gravity stars substances substitution supposed syllogism symbols temperature theory of probability things tion triangle true truth unit velocity vibrations
Popular passages
Page 593 - The philosopher should be a man willing to listen to every suggestion, but determined to judge for himself. He should not be biased by appearances ; have no favorite hypothesis ; be of no school ; and in doctrine have no master. He should not be a respecter of persons, but of things. Truth should be his primary object. If to these qualities be added industry, he may indeed hope to walk within the veil of the temple of nature.
Page 484 - Whatever phenomenon varies in any manner, whenever another phenomenon varies in some particular manner, is either a cause or an effect of that phenomenon, or is connected with it through some fact of causation.
Page 308 - Absolute, true, and mathematical time, of itself, and from its own nature, flows equably without relation to anything external...
Page 458 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 308 - Every body continues in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it.
Page 682 - Montmartre, have often been verified, and are well calculated to impress the vulgar imagination ; so that they have taken rank as the triumphs of the anatomist. But it should carefully be borne in mind, that, like all merely empirical laws, which rest upon a comparatively narrow observational basis, the reasoning from them may at any time break down. If Cuvier, for example, had had to do with a fossil Thylacinus instead of a fossil Opossum, he would not. have found the marsupial bones, though the...
Page 17 - The rule runs as follows : The one supreme rule of inference consists... in the direction to affirm of anything whatever is known of its like, equal or equivalent. The Substitution of Similars is a phrase which seems aptly to express the capacity of mutual replacement existing in any two objects which are like or equivalent [= ?] to a sufficient [= ?] degree (Principles of Science, p.
Page 758 - The air itself is one vast library, on whose pages are for ever written all that man has ever said or even whispered. There, in their mutable but unerring characters, mixed with the earliest, as well as the latest sighs of mortality, stand for ever recorded vows unredeemed, promises unfulfilled, perpetuating in the united movements of each particle, the testimony of man's changeful will.
Page 271 - Hipparchus, carried on the improvement, liis errors in right ascension, according to Bessel, being under one second of time, and those of declination under four seconds of arc. In the present day the average error of a single observation is probably reduced to the half or quarter of what it was in Bradley's time ; and further extreme accuracy is attained by the multiplication of observations, and their skilful combination according to the theory of error.
Page 215 - He that will not eat till he has demonstration that it will nourish him; he that will not stir till he infallibly knows the business he goes about will succeed, will have little else to do but to sit still and perish.