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... mathematical knowledge ... is, in fact, merely verbal knowledge. 3 means 2+1, and 4 means 3+1. Hence it follows (though the proof is long) that 4 means the same as 2+2. Thus mathematical knowledge ceases to be mysterious.
Bertrand Russell
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Bertrand Russell
Age: 97 †
Born: 1872
Born: May 18
Died: 1970
Died: February 2
Analytic Philosopher
Autobiographer
Epistemologist
Essayist
Journalist
Logician
Mathematician
Metaphysician
Peace Activist
Philosopher
Tryleg
Bertrand Arthur William Russell
Russell
Bertrand Russell
3rd Earl Russell
Bertrand Russell
Earl Russell
Bertrand Arthur William Russell
3rd Earl Russell
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More quotes by Bertrand Russell
The essence of life is doing things for their own sakes.
Bertrand Russell
It is no credit to the orthodox that they do not now believe all the absurdities that were believed 150 years ago. The gradual emasculation of the Christian doctrine has been effected in spite of the most vigorous resistance, and solely as the result of the onslaughts of freethinkers.
Bertrand Russell
One's work is never so bad as it appears on bad days, nor so good as it appears on good days.
Bertrand Russell
As soon as we abandon our own reason, and are content to rely upon authority, there is no end to our trouble. . . . No Catholic, for instance, takes seriously the text which says that a Bishop should be the husband of one wife.
Bertrand Russell
If we compare Europe with other continents, it is marked out as [another] persecuting continent.
Bertrand Russell
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
The secrets to happiness include enterprise, exploration of one's interests and the overcoming of obstacles.
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Although this may seem a paradox, all exact science is based on the idea of approximation. If a man tells you he knows a thing exactly, then you can be safe in inferring that you are speaking to an inexact man.
Bertrand Russell
In detective stories . . . I alternately identify myself with the murderer and the huntsman-detective, but . . . there are those to which this vicarious outlet is too mild.
Bertrand Russell
When all experts agree, you need to watch out.
Bertrand Russell
Many people when they fall in love look for a little haven of refuge from the world, where they can be sure of being admired when they are not admirable, and praised when they are not praiseworthy.
Bertrand Russell
We have almost reached the point where praise of rationality is held to mark a man as an old fogey regrettably surviving from a bygone age.
Bertrand Russell
Another merit of home is that it preserves the diversity between individuals. If we were all alike, it might be convenient for the bureaucrat and the statistician, but it would be very dull, and would lead to a very unprogressive society.
Bertrand Russell
Science can teach us, and I think our hearts can teach us, no longer to look around for imaginary supporters, no longer to invent allies in the sky, but rather to look to our own efforts here below to make the world a fit place to live.
Bertrand Russell
Ants and savages put strangers to death.
Bertrand Russell
One eminently orthodox Catholic divine laid it down that a confessor may fondle a nun's breasts, provided he does it without evil intent.
Bertrand Russell
In attempting to understand the elements out of which mental phenomena are compounded, it is of the greatest importance to remember that from the protozoa to man there is nowhere a very wide gap either in structure or in behaviour. From this fact it is a highly probable inference that there is also nowhere a very wide mental gap.
Bertrand Russell
Mathematics rightly viewed possesses not only truth but supreme beauty.
Bertrand Russell
What was exciting in the Victorian Age, would leave a man of franker epoch quite unmoved. The more prudes restrict the permissible degree of sexual appeal, the less is required to make such an appeal effective.
Bertrand Russell
In mass cruelty, the expulsions of Germans ordered by the Russians fall not very far short of the atrocities perpetrated by the Nazis.
Bertrand Russell