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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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Mathematics
Verbal
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Numbers
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More quotes by Bertrand Russell
Life and hope for the world are to be found only in the deeds of love.
Bertrand Russell
None but a coward dares to boast that he has never known fear.
Bertrand Russell
The governors of the world believe, and have always believed, that virtue can only be taught by teaching falsehood, and that any man who knew the truth would be wicked. I disbelieve this, absolutely and entirely. I believe that love of truth is the basis of all real virtue, and that virtues based upon lies can only do harm.
Bertrand Russell
Reason may be a small force, but it is constant, and works always in one direction, while the forces of unreason destroy one another in futile strife.
Bertrand Russell
Dr. Arnold . . . the admired reformer of public schools, came across some cranks who thought it a mistake to flog boys. Anyone reading his outburst of furious indignation against this opinion will be forced to the conclusion that he enjoyed inflicting floggings.
Bertrand Russell
Americans need rest, but do not know it. I believe this to be a large part of the explanation of the crime wave in the United States.
Bertrand Russell
If I were a medical man, I should prescribe a holiday to any patient who considered his work important.
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When Benjamin Franklin invented the lightning-rod, the clergy, both in England and America, with enthusiastic support of George III, condemned it as an impious attempt to defeat the will of God.
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Intelligence, it might be said, has caused our troubles but it is not unintelligence that will cure them. Only more and wiser intelligence can make a happier world
Bertrand Russell
There may be no good reasons for very many opinions that are held with passion.
Bertrand Russell
William James used to preach the will-to-believe. For my part, I should wish to preach the will-to-doubt. None of our beliefs are quite true all at least have a penumbra of vagueness and error. What is wanted is not the will to believe, but the will to find out, which is the exact opposite.
Bertrand Russell
I do not believe that science per se is an adequate source of happiness, nor do I think that my own scientific outlook has contributed very greatly to my own happiness, which I attribute to defecating twice a day with unfailing regularity.
Bertrand Russell
Cruel men believe in a cruel god and use their belief to excuse their cruelty. Only kindly men believe in a kindly god, and they would be kindly in any case.
Bertrand Russell
The secret to happiness is to face the fact that the world is horrible.
Bertrand Russell
To write tragedy, a man must feel tragedy. To feel tragedy, a man must be aware of the world in which he lives. Not only with his mind, but with his blood and sinews.
Bertrand Russell
The more we realize our minuteness and our impotence in the face of cosmic forces, the more amazing becomes what human beings have achieved.
Bertrand Russell
You must believe that you can help bring about a better world.
Bertrand Russell
Never try to discourage thinking, for you are sure to succeed.
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
A man's acts are partly determined by spontaneous impulse, partly by the conscious and unconscious effects of the various groups to which he belongs.
Bertrand Russell