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

The principal means of realizing it will be the formation of an alliance between philosophers and the working classes, for which both are alike prepared by the negative and positive progress of the last five centuries. The direct object of their combined action will be to set in motion the force of Public Opinion.

The errors of Communism must be rectified; but there is no necessity for giving up the name, which is a simple assertion of the paramount importance of Social Feeling. However, now that we have happily passed from monarchy to republicanism, the name of Communist is no longer indispensable; the word Republican expresses the meaning as well, and without the same danger. Positivism, then, has nothing to fear from Communism; on the contrary, it will probably be accepted by most Communists among the working classes, especially in France where abstractions have but little influence on minds thoroughly emancipated from theology. The people will gradually find that the solution of the great social problem which Positivism offers is better than the Communistic solution.

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.

A common monetary standard will be established, with the consent of the various governments, by which industrial transactions will be greatly facilitated. Three spheres made respectively of gold, silver, and platinum, and each weighing fifty grammes, would differ sufficiently in value for the purpose. The sphere should have a small flattened base, and on the great circle parallel to it the Positivist motto would be inscribed. At the pole would be the image of the immortal Charlemagne, the founder of the Western Republic, and round the image his name would be engraved, in its Latin form, Carolus; that name, respected as it is by all nations of Europe alike, would be the common appellation of the universal monetary standard.

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

Every attempt to refer chemical questions to mathematical doctrines must be considered, now and always, profoundly irrational, as being contrary to the nature of the phenomena. . . . but if the employment of mathematical analysis should ever become so preponderant in chemistry (an aberration which is happily almost impossible) it would occasion vast and rapid retrogradation....

Language forms a kind of wealth, which all can make use of at once without causing any diminution of the store, and which thus admits a complete community of enjoyment; for all, freely participating in the general treasure, unconsciously aid in its preservation.

In the final, positive state, the mind has given over the vain search after Abolute notions, the origin and destination of the universe, and the cause of phenomenon, and applies itself to the tudy 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 the facts is simply the establishment of a connection between single phenomena and some general facts, the number of which continually diminishes with the progress of science.

There are three successive states of morality answering to the three principal stages of human life; the personal, the domestic, and the social stage.

It was under Catholic Feudalism that they were first united; a union for which their incorporation into the Roman empire had prepared them, and which was finally organized by the incomparable genius of Charlemagne.

And now I have explained the series of social and intellectual conditions by which the discovery of sociological laws, and consequently the foundation of Positivism, was fixed for the precise date at which I began my philosophical career: that is to say, one generation after the progressive dictatorship of the Convention, and almost immediately after the fall of the retrograde tyranny of Bonaparte.

The dead govern the living.

Social positivism only accepts duties, for all and towards all. Its constant social viewpoint cannot include any notion of rights, for such notion always rests on individuality. We are born under a load of obligations of every kind, to our predecessors, to our successors, to our contemporaries. These obligations then increase or accumulate, for it is some time before we can return any service. ... Any human right is therefore as absurd as immoral. Since there are no divine rights anymore, this concept must therefore disappear completely as related only to the preliminary regime and totally inconsistent with the final state where there are only duties based on functions.

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

Foreknowledge is power.

Reorganisation, irrespectively of God or king, by the worship of Humanity, systematically adopted. Man's only right is to do his duty. The Intellect should always be the servant of the Heart, and should never be its slave.

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.

The first condition of unity is a subjective principle; and this principle in the Positive system is the subordination of the intellect to the heart: Without this the unity that we seek can never be placed on a permanent basis, whether individually or collectively. It is essential to have some influence sufficiently powerful to produce convergence amid the heterogeneous and often antagonistic tendencies of so complex an organism as ours.

It lays down, as is generally known, that our speculations upon all subjects whatsoever, pass necessarily through three successive stages: a Theological stage, in which free play is given to spontaneous fictions admitting of no proof; the Metaphysical stage, characterized by the prevalence of personified abstractions or entities; lastly, the Positive stage, based upon an exact view of the real facts of the case.

The mathematical thermology created by Fourier may tempt us to hope that, as he has estimated the temperature of the space in which we move, me may in time ascertain the mean temperature of the heavenly bodies: but I regard this order of facts as for ever excluded from our recognition. We can never learn their internal constitution, nor, in regard to some of them, how heat is absorbed by their atmosphere. We may therefore define Astronomy as the science by which we discover the laws of the geometrical and mechanical phenomena presented by the heavenly bodies.