“Mathematical Analysis is… the true rational basis of the whole system of our positive knowledge.”

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

Religion is an illusion of childhood, outgrown under proper education.

If we do not allow free thinking in chemistry or biology, why should we allow it in morals or politics?

Nothing is destroyed until it is replaced.

The dead govern the living.

Woman is the most moral element in all humanity.

The word right should be excluded from political language, as the word cause from the language of philosophy.

Men are not allowed to think freely about chemistry and biology: why should they be allowed to think freely about political philosophy?

The universe displays no proof of an all-directing mind.

Humanity is always made up of more dead than living.

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.

Every science consists in the coordination of facts; if the different observations were entirely isolated, there would be no science.

Ideas govern the world, or throw it into chaos.

Know yourself to improve yourself.

Everything is relative; and only that is absolute.

The law is this: that each of our leading conceptions-each branch of our knowledge-passes successively through three different theoretical conditions: the Theological, or fictitious: the Metaphysical, or abstract; and the Scientific, or positive.