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The Axiom of Choice is necessary to select a set from an infinite number of socks, but not an infinite number of shoes.
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
Choices
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Select
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Infinite
Necessary
Number
Axiom
Choice
Axioms
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Socks
More quotes by Bertrand Russell
Science may set limits to knowledge, but should not set limits to imagination.
Bertrand Russell
There is no excuse for deceiving children. And when, as must happen in conventional families, they find that their parents have lied, they lose confidence in them and feel justified in lying to them.
Bertrand Russell
Logic must no more admit a unicorn than zoology can.
Bertrand Russell
Awareness of universals is called conceiving, and a universal of which we are aware is called a concept.
Bertrand Russell
Each act of cruelty is eternally a part of the universe nothing that happens later can make that act good rather than bad, or can confer perfection on the whole of which it is a part.
Bertrand Russell
The mind is a strange machine which can combine the materials offered to it in the most astonishing ways.
Bertrand Russell
A world full of happiness is not beyond human power to create the obstacles imposed by inanimate nature are not insuperable. The real obstacles lie in the heart of man, and the cure for these is a firm hope, informed and fortified by thought.
Bertrand Russell
The habit of looking to the future and thinking that the whole meaning of the present lies in what it will bring forth is a pernicious one. There can be no value in the whole unless there is value in the parts.
Bertrand Russell
I do not pretend to start with precise questions. I do not think you can start with anything precise. You have to achieve such precision as you can, as you go along.
Bertrand Russell
Common sense, however it tries, cannot avoid being surprised from time to time.
Bertrand Russell
The teacher, like the artist, the philosopher, and the man of letters, can only perform his work adequately if he feels himself to be an individual directed by an inner creative impulse, not dominated and fettered by an outside authority.
Bertrand Russell
Happiness, as is evident, depends partly upon external circumstances and partly upon oneself.
Bertrand Russell
Obscenity is whatever happens to shock some elderly and ignorant magistrate.
Bertrand Russell
The place of the father in the modern suburban family is a very small one, particularly if he plays golf.
Bertrand Russell
A physicist looks for causes that does not necessarily imply that there are causes everywhere. A man may look for gold without assuming that there is gold everywhere if he finds gold, well and good, if he doesn't he's had bad luck. The same is true when the physicists look for causes.
Bertrand Russell
The man who pursues happiness wisely will aim at the possession of a number of subsidiary interests in addition to those central ones upon which his life is built.
Bertrand Russell
(on A History of Western Philosophy) I was sometimes accused by reviewers of writing not a true history but a biased account of the events that I arbitrarily chose to write of. But to my mind, a man without a bias cannot write interesting history - if, indeed, such man exists.
Bertrand Russell
The wise man thinks about his troubles only when there is some purpose in doing so at other times he thinks about other things, or, if it is night, about nothing at all.
Bertrand Russell
Modern technique has made it possible for leisure, within limits, to be not the prerogative of small privileged classes, but a right evenly distributed throughout the community. The morality of work is the morality of slaves, and the modern world has no need of slavery.
Bertrand Russell
In considering irregular appearances, there are certain very natural mistakes which must be avoided.
Bertrand Russell