Positivism is a theory of knowledge according to which the only kind of sound knowledge available to human kind is that if science grounded in observation.

All good intellects have repeated, since Bacon's time, that there can be no real knowledge but which is based on observed facts.

To reorganize society without God or King, by the systematic culture of Humanity.

The only real life is the collective life of the race; individual life has no existence except as an abstraction.

Woman is the most moral element in all humanity.

Every attempt to employ mathematical methods in the study of chemical questions must be considered profoundly irrational and contrary to the spirit of chemistry.... if mathematical analysis should ever hold a prominent place in chemistry -- an aberration which is happily almost impossible -- it would occasion a rapid and widespread degeneration of that science.

To understand a science it is necessary to know its history.