Reorganisation, irrespectively of God or king, by the worship of Humanity, systematically adopted. Man’s only right is to do his duty. The Intellect … - Auguste Comte

Thus the social position of women is in this respect very similar to that of philosophers and of the working classes. And we now see why these three elements should be united. It is their combined action which constitutes the moral or modifying force of society.

The object of all true Philosophy is to frame a system which shall comprehend human life under every aspect, social as well as individual. It embraces, therefore, the three kinds of phenomena of which our life consists, Thoughts, Feelings, and Actions.

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