“The ingenuity displayed in Euclid’s presentation filled me with such vivid pleasure, that forthwith I felt as well as ever.”

Even in the realm of things which do not claim actuality, and do not even claim possibility, there exist beyond dispute sets which are infinite.

In order to ease my condition I took up Euclid’s Elements and read for the first time his doctrine of ratio, which I found treated there in a manner entirely new to me.

It has now become the doctrine of a large clan of politicians that political honesty is unnecessary, slow, subversive of a man’s interests, and incompatible with quick onward movement.

One of the chief peculiarities of this treatise is the doctrine that the true electric current, on which the electromagnetic phenomena depend, is not the same thing as the current of conduction, but that the time-variation of the electric displacement must [also] be taken into account.

An it isn’t so much that the church is in bondage to Big Business and doctrines as laid down by millionaires – though a lot of churches are that, too.

The popularisation of scientific doctrines is producing as great an alteration in the mental state of society as the material applications of science are effecting in its outward life.

The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.

As regards the Liberal doctrines, the attitude of Fascism is one of absolute opposition both in the political and in the economical field.

The keystone of the Fascist doctrine is its conception of the State, of its essence, its functions, and its aims. For Fascism the State is absolute, individuals and groups relative.

Thirty centuries of history allow us to look with supreme pity on certain doctrines which are preached beyond the Alps by the descendants of those who were illiterate when Rome had Caesar, Virgil, and Augustus.