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

Induction for deduction, with a view to construction.

But now, I, August Comte, have discovered the truth. Therefore, there is no longer any need for freedom of thought or freedom of the press. I want to rule and to organize the whole country.

Nothing is destroyed until it is replaced.

The heavens declare the glory of Kepler and Newton.

In the final, the positive, state, the mind has given over the vain search after absolute notions, the origin and destination of the universe, and the causes of phenomena, and applies itself to the study of their laws - that is, their invariable relations of succession and resemblance. Reasoning and observation, duly combined, are the means of this knowledge. What is now understood when we speak of an explanation of facts is simply the establishment of a connection between single phenomena and some general facts.

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.