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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
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More quotes by Bertrand Russell
I consider the official Catholic attitude on divorce, birth control, and censorship exceedingly dangerous to mankind.
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Without civic morality communities perish without personal morality their survival has no value.
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Upon hearing via Littlewood an exposition on the theory of relativity: To think I have spent my life on absolute muck.
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It is possible that mankind is on the threshold of a golden age but, if so, it will be necessary first to slay the dragon that guards the door, and this dragon is religion.
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Religion may in most of its forms be defined as the belief that the gods are on the side of the government.
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We are condemned to kill time, thus we die bit by bit. - Octavio Paz The time you enjoy wasting is not wasted time.
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway about the flux. A little of this, but not much, I have achieved.
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We all have a tendency to think that the world must conform to our prejudices. The opposite view involves some effort of thought, and most people would die sooner than think in fact they do so.
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The evolution of our spirit is blazed on the dark background of eternity by our individual wakes. Every person can, if he/she wishes, leave a more or less brilliant wake behind them.
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A man without a bias cannot write interesting history - if indeed such a man exists.
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Freedom in education has many aspects. There is first of all freedom to learn or not to learn. Then there is freedom as to what to learn. And in later education there is freedom of opinion.
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Machines deprive us of two things which are certainly important ingredients of human happiness, namely, spontaneity and variety.
Bertrand Russell
Freedom comes only to those who no longer ask of life that it shall yield them any of those personal goods that are subject to the mutations of time.
Bertrand Russell
Dogmatism and skepticism are both, in a sense, absolute philosophies one is certain of knowing, the other of not knowing. What philosophy should dissipate is certainty, whether of knowledge or ignorance.
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I used, when I was younger, to take my holidays walking. I would cover 25 miles a day, and when the evening came I had no need of anything to keep me from boredom, since the delight of sitting amply sufficed.
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More important than the curriculum is the question of the methods of teaching and the spirit in which the teaching is given
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If everything must have a cause, then God must have a cause. If there can be anything without a cause, it may just as well be the world as God, so that there cannot be any validity in that argument... The idea that things must have a beginning is really due to the poverty of our imagination.
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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.
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All the important human advances that we know of since historical times began have been due to individuals of whom the majority faced virulent public opposition.
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It is obviously possible that what we call waking life may only be an unusual and persistent nightmare.
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