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Home > Dictionary of Science Quotations > Scientist Names Index R > Bertrand Russell Quotes > Method

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Bertrand Russell
(18 May 1872 - 2 Feb 1970)

Welsh mathematician, logician and philosopher known for his work in mathematical logic, but was also active in social and political campaigns, advocating pacifism and nuclear disarmament.



I conclude that, while it is true that science cannot decide questions of value, that is because they cannot be intellectually decided at all, and lie outside the realm of truth and falsehood. Whatever knowledge is attainable, must be attained by scientific methods; and what science cannot discover, mankind cannot know.
— Bertrand Russell
Religion and Science (1935), 243.
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In science men have discovered an activity of the very highest value in which they are no longer, as in art, dependent for progress upon the appearance of continually greater genius, for in science the successors stand upon the shoulders of their predecessors; where one man of supreme genius has invented a method, a thousand lesser men can apply it. … In art nothing worth doing can be done without genius; in science even a very moderate capacity can contribute to a supreme achievement.
— Bertrand Russell
Essay, 'The Place Of Science In A Liberal Education.' In Mysticism and Logic: and Other Essays (1919), 41.
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Scientific method, although in its more refined forms it may seem complicated, is in essence remarkably simply. It consists in observing such facts as will enable the observer to discover general laws governing facts of the kind in question. The two stages, first of observation, and second of inference to a law, are both essential, and each is susceptible of almost indefinite refinement. (1931)
— Bertrand Russell
In The Scientific Outlook (1931, 2009), 3.
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The first man who said “fire burns” was employing scientific method, at any rate if he had allowed himself to be burnt several times. This man had already passed through the two stages of observation and generalization. He had not, however, what scientific technique demands—a careful choice of significant facts on the one hand, and, on the other hand, various means of arriving at laws otherwise than my mere generalization. (1931)
— Bertrand Russell
In The Scientific Outlook (1931, 2009), 3.
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The method of “postulating” what we want has many advantages; they are the same as the advantages of theft over honest toil.
— Bertrand Russell
In Introduction to Mathematical Philosophy (1919), 71.
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The modern development of mathematical logic dates from Boole’s Laws of Thought (1854). But in him and his successors, before Peano and Frege, the only thing really achieved, apart from certain details, was the invention of a mathematical symbolism for deducing consequences from the premises which the newer methods shared with Aristotle.
— Bertrand Russell
From a Lowell Lecture delivered in Boston (Apr 1914), 'Logic as the Essence of Philosophy". Published in Our Knowledge of the External World: As A Field For Scientific Method in Philosophy (1914), Lecture II, 40. Also quoted in William Bragg Ewald, From Kant to Hilbert: A Source Book in the Foundations of Mathematics (1996), Vol. 1, footnote, 442. In the Footnote, Ewalt contrasts a more “romantic” view of Boole written by Russell for a popular audience. Refer to the latter quote elsewhere on this Bertrand Russell webpage, which begins “Pure mathematics was discovered by Boole….”
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There is as much difference between a collection of mentally free citizens and a community molded by modern methods of propaganda as there is between a heap of raw materials and a battleship.
— Bertrand Russell
From An Outline of Intellectual Rubbish (1937, 1943), 9. Collected in The Basic Writings of Bertrand Russell (2009), 61.
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This method is, to define as the number of a class the class of all classes similar to the given class. Membership of this class of classes (considered as a predicate) is a common property of all the similar classes and of no others; moreover every class of the set of similar classes has to the set of a relation which it has to nothing else, and which every class has to its own set. Thus the conditions are completely fulfilled by this class of classes, and it has the merit of being determinate when a class is given, and of being different for two classes which are not similar. This, then, is an irreproachable definition of the number of a class in purely logical terms.
— Bertrand Russell
The Principles of Mathematics (1903), 115.
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See also:
  • 18 May - short biography, births, deaths and events on date of Russell's birth.
  • Bertrand Russell - context of quote “A process which led from the amoeba to man” - Medium image (500 x 350 px)
  • Bertrand Russell - context of quote “A process which led from the amoeba to man” - Large image (800 x 600 px)

Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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