Bertrand Russell: Trending quotes (page 16)

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“If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able to give a definition that had any meaning at all.”

Source: 1910s, Mysticism and Logic and Other Essays http://archive.org/stream/mysticism00russuoft/mysticism00russuoft_djvu.txt (1918), Ch. 5: Mathematics and the Metaphysicians

“An extra-terrestrial philosopher, who had watched a single youth up to the age of twenty-one and had never come across any other human being, might conclude that it is the nature of human beings to grow continually taller and wiser in an indefinite progress towards perfection; and this generalisation would be just as well founded as the generalisation which evolutionists base upon the previous history of this planet.”

Variant: An extra-terrestrial philosopher, who had watched a single youth up to the age of twenty-one and had never come across any other human being, might conclude that it is the nature of human beings to grow continually taller and wiser in an indefinite progress towards perfection; and this generalisation would be just as well founded as the generalisation which evolutionists base upon the previous history of this planet.
Source: 1910s, Mysticism and Logic and Other Essays http://archive.org/stream/mysticism00russuoft/mysticism00russuoft_djvu.txt (1918), Ch. 6: On the Scientific Method in Philosophy.Ethics is in origin the art of recommending to others the sacrifices required for co-operation with oneself.

“I don't like the spirit of socialism – I think freedom is the basis of everything.”

Letter to Constance Malleson (Colette), September 29, 1916
1910s

“None but a coward dares to boast that he has never known fear.”

Attributed to Russell in M. Kumar Dictionary of Quotations, p. 76, but actually said by Marshal Lannes, according to The London Literary Gazette and Journal of Belles Lettres, Arts, Sciences (1824), p. 664
Misattributed

“A European who goes to New York and Chicago sees the future… when he goes to Asia he sees the past.”

Source: 1920s, Sceptical Essays (1928), Ch. 8: Eastern and Western Ideals of Happiness