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Quote by Auguste Comte

“In mathematics we find the primitive source of rationality; and to mathematics must the biologists resort for means to carry out their researches.”

Quote by Auguste Comte

Author

Auguste Comte
Auguste Comte

Auguste Comte, a French philosopher born on January 19, 1798, and died on September 5, 1857, is considered the father of sociology and the founder of positivism. He is best known for his work on the scientific study of society and his creation of the discipline of sociology. His seminal work, 'Cours de philosophie positive,' has had a profound impact on the development of philosophy and the social sciences. more

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“It is probably no exaggeration to suppose that in order to improve such an organ as the eye at all, it must be improved in ten different ways at once. And the improbability of any complex organ being produced and brought to perfection in any such way is an improbability of the same kind and degree as that of producing a poem or a mathematical demonstration by throwing letters at random on a table.”

“Lagrange, in one of the later years of his life, imagined that he had overcome the difficulty (of the parallel axiom). He went so far as to write a paper, which he took with him to the Institute, and began to read it. But in the first paragraph something struck him that he had not observed: he muttered: 'Il faut que j'y songe encore', and put the paper in his pocket.' [I must think about it again]”

“Mathematics had never had more than a secondary interest for him ; and even logic he cared for chiefly as a means of clearing the ground of doctrines imagined to be proved, by showing that the evidence on which they were supposed to rest had no tendency to prove them. But he had been endeavouring to give a more active and positive help than this to the cause of what he deemed pure religion.”

“On foundations we believe in the reality of mathematics, but of course, when philosophers attack us with their paradoxes, we rush to hide behind formalism and say 'mathematics is just a combination of meaningless symbols,'... Finally we are left in peace to go back to our mathematics and do it as we have always done, with the feeling each mathematician has that he is working with something real. The sensation is probably an illusion, but it is very convenient.”