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Formerly, it was held by philosophers and mathematicians alike that the proofs in Geometry depended on the figure; nowadays, this is known to be false. In the best books there are no figures at all. The reasoning proceeds by the strict rules of formal logic from a set of axioms laid down to begin with.

— Bertrand Russell Mysticism and Logic and Other Essays (1918)

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More quotes by Bertrand Russell

Often and often, a marriage hardly differs from prostitution except by being harder to escape from.

Proposed Roads To Freedom (1918)

Brief and powerless is Man's life; on him and all his race the slow, sure doom falls pitiless and dark.

A Free Man's Worship (1903)

My whole religion is this: do every duty, and expect no reward for it, either here or hereafter.

Greek Exercises (1888)

Every man would like to be God, if it were possible; some few find it difficult to admit the impossibility.

Power: A New Social Analysis (1938)

Ethics is in origin the art of recommending to others the sacrifices required for co-operation with oneself.

Mysticism and Logic and Other Essays (1918)

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