Its enduring value was simply a deeper understanding of the central concepts of mathematics and their basic laws and interrelationships. Their total translatability into just elementary logic and a simple familiar two-place predicate, membership, is of itself a philosophical sensation.

Russell's prose has been compared by T.S. Eliot to that of David Hume's. I would rank it higher, for it had more color, juice, and humor. But to be lucid, exci…

Oh, Bertrand Russell! Oh, Hewlett Johnson! Where, oh where, was your flaming conscience at that time?

I can remember Bertrand Russell telling me of a horrible dream. He was in the top floor of the University Library, about A.D. 2100. A library assistant was goi…

Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition…

Necessary truth is merely the subject-matter of mathematics, not the reward we get for doing mathematics. The object of mathematics is not, and cannot be, math…

A great part of its theories derives an additional charm from the peculiarity that important propositions, with the impress of simplicity on them, are often ea…