History is valuable, to begin with, because it is true; and this, though not the whole of its value, is the foundation and condition of all the rest. That all knowledge, as such, is in some degree good, would appear to be at least probable; and the knowledge of every historical fact possesses this element of goodness, even if it posses no other.

In the daily lives of most men and women, fear plays a greater part than hope: they are more filled with the thought of the possessions that others may take from them, than of the joy that they might create in their own lives and in the lives with which they come in contact. It is not so that life should be lived.

There is no nonsense so errant that it cannot be made the creed of the vast majority by adequate governmental action.

Man is a rational animal—so at least I have been told. … Aristotle, so far as I know, was the first man to proclaim explicitly that man is a rational animal. His reason for this view was … that some people can do sums. … It is in virtue of the intellect that man is a rational animal. The intellect is shown in various ways, but most emphatically by mastery of arithmetic. The Greek system of numerals was very bad, so that the multiplication table was quite difficult, and complicated calculations could only be made by very clever people.

For some reason which I have failed to understand, many people like the system [scientific totalitarianism] when it is Russian but disliked the very same system when it was German. I am compelled to think that this is due to the power of labels; these people like whatever is labelled ‘Left’ without examining whether the label has any justification.

Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then suchand such another proposition is true of that thing.... Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

The satisfaction to be derived from success in a great constructive enterprise is one of the most massive that life has to offer.