„My sole purpose in this paper is to try and correct what I take to be a common misinterpretation of Hume’s opinions on mathematics. I shall not enquire whether he was right or wrong in holding these opinions. Nor shall I offer opinions of my own.“.

In Chapter 4 of his essay Utilitarianism, “Of what sort of Proof the Principle of Utility is susceptible,” J. S. Mill undertakes to prove, in some sense of that term, the principle of utility. It has very commonly been argued that in the course of this “proof” Mill commits two very obvious fallacies. The first is the naturalistic fallacy which he is held to commit when he argues that since “the only proof capable of being given that an object is (...) visible, is that people actually see it. The only proof that a sound is audible is that people hear it: and so of the other sources of our experience. In like manner … the sole evidence it is possible to produce that anything is desirable, is that people do actually desire it.”1 Here Mill appears to hold that “X is desirable ”—a value judgment—follows deductively from “People desire x”—a factual statement. And the second is the fallacy of composition which seems to be involved in Mill'zs argument that since “each person's happiness is a good to that person … the general happiness, therefore, a good to the aggregate of all persons.”2. (shrink)

In Chapter 4 of his essay Utilitarianism, “Of what sort of Proof the Principle of Utility is susceptible,” J. S. Mill undertakes to prove, in some sense of that term, the principle of utility. It has very commonly been argued that in the course of this “proof” Mill commits two very obvious fallacies. The first is the naturalistic fallacy which he is held to commit when he argues that since “the only proof capable of being given that an object is (...) visible, is that people actually see it. The only proof that a sound is audible is that people hear it: and so of the other sources of our experience. In like manner … the sole evidence it is possible to produce that anything is desirable, is that people do actually desire it.”1 Here Mill appears to hold that “X is desirable ”—a value judgment—follows deductively from “People desire x”—a factual statement. And the second is the fallacy of composition which seems to be involved in Mill'zs argument that since “each person's happiness is a good to that person … the general happiness, therefore, a good to the aggregate of all persons.”2. (shrink)

Historical materialism I take to be the view expressed in the well-known Preface to the Critique of Political Economy (1859) and exemplified in Capital and in many other writings by Marx and by Marxists. I shall begin with a few introductory remarks, next sketch in the theory, and finally contend that, despite real attractions, it too far limits the scope of legitimate historical enquiry to be ultimately acceptable.

This work critically examines types of argument about issues in sexual morality. Its two aims are to show, with examples, how apparently abstract moral philosophy bears on practical problems, and to contribute to the resolution of issues that were controversial when it was written.

Historical materialism I take to be the view expressed in the well-known Preface to the Critique of Political Economy and exemplified in Capital and in many other writings by Marx and by Marxists. I shall begin with a few introductory remarks, next sketch in the theory, and finally contend that, despite real attractions, it too far limits the scope of legitimate historical enquiry to be ultimately acceptable.

R. F. Atkinson; XIII*—Explanation in History, Proceedings of the Aristotelian Society, Volume 72, Issue 1, 1 June 1972, Pages 241–256, https://doi.org/10.1093/a.