Certain forms of sex which do not lead to children are at present punished by the criminal law: this is purely superstitious, since the matter is one which affects no one except the parties directly concerned... The peculiar importance attached, at present, to adultery is quite irrational... Moral rules ought not to be such as to make instinctive happiness impossible.

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Your comments on the Cuban crisis are, to me, utterly amazing. You say that the way the solution was arrived at was that 'the Russians discontinued their suicidal policy; and President Kennedy by his resolution and farsightedness saved the world'. This seems to me a complete reversal of the truth. Russia and America had policies leading directly to nuclear war. Khrushchev, when he saw the danger, abandoned his policy. Kennedy did not. It was Khrushchev who allowed the human race to continue, not Kennedy.

I was a solitary, shy, priggish youth. I had no experience of the social pleasures of boyhood and did not miss them. But I liked mathematics, and mathematics was suspect because it has no ethical content. I came also to disagree with the theological opinions of my family, and as I grew up I became increasingly interested in philosophy, of which they profoundly disapproved. Every time the subject came up they repeated with unfailing regularity, 'What is mind? No matter. What is matter? Never mind.' After some fifty or sixty repetitions, this remark ceased to amuse me.

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 is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true. Both these points would belong to applied mathematics. We start, in pure mathematics, from certain rules of inference, by which we can infer that if one proposition is true, then so is some other proposition. These rules of inference constitute the major part of the principles of formal logic. We then take any hypothesis that seems amusing, and deduce its consequences. If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. 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. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.

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[T]he philosophy of Plotinus has the defect of encouraging men to look within rather than to look without: when we look within we see nous, which is divine, while when we look without we see the imperfections of the sensible world. This kind of subjectivity was a gradual growth; it is to be found in the doctrines of Protagoras, Socrates, and Plato, as well as in the Stoics and Epicureans. But at first it was only doctrinal, not temperamental; for a long time it failed to kill scientific curiosity. [...] Plotinus is both an end and a beginning—an end as regards the Greeks, a beginning as regards Christendom.

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Man is a rational animal – so at least I have been told. Throughout a long life, I have looked diligently for evidence in favor of this statement, but so far I have not had the good fortune to come across it, though I have searched in many countries spread over three continents.