In this essay, my aim is twofold: to clarify how the late Mill conceived of the certainty of inductive generalizations and to offer a systematic clarification of the limited domain of application of the Mill’s Canons of Induction. I shall argue that Mill’s views on the certainty of knowledge changed overtime and that this change was accompanied by a new view on the certainty of the inductive results yielded by the Canons of Induction. The key message of the later editions (...) of The System of Logic as conceived by the late Mill was no longer that by the Canons of Induction we can establish scientific certainty and true causes, but rather that the Canons are useful in establishing causal laws in a provisional way. (shrink)

J. S. Mill lays great emphasis on the importance of the notion of the individual as a progressive being. The idea that we need to conceive the self as an object of cultivation and perfection runs through Mill’s writings on various topics, and has played a certain role in recent interpretations. In this paper I propose a specific interpretation of Mill’s understanding of the self, along the lines of what Stanley Cavell identifies as a “perfectionist” concern for the self. Various (...) texts by Mill, ranging from the Logic to On Liberty, show an understanding of the self in which both the theoretical and the practical domain are presented as being internally connected to the transformation of the self. Mill elaborates a criticism of a notion of truth articulated by doctrines having a life independent of the self, as well as a notion of choice which is not the expression of one’s inner self. This internal relation of truth and choice to the self generates a special dialectic within the self, which Mill explores in On Liberty’s second and third chapters by means of several contrasts, such as passive vs. active knowledge, living vs. dead beliefs, or being oneself vs. liking and choosing in crowds. (shrink)

The article shows that Mill's ethical theory is intimately connected with his theory of human improvement. This can be discerned by analyzing how his utilitarianism differs from Bentham's version. Mill regards the received doctrine as inadequate and he defends it against its critics by making major changes. The article argues that Mill's introduction of qualitative distinctions among pleasures and his emphasis on the higher pleasures were designed to accommodate utilitarianism to his belief in self-cultivation and progress. It concludes that Mill's (...) revisions make utilitarianism more plausible, although problems remain. (shrink)

This article examines the nineteenth-century debate about scientific method between John Stuart Mill and William Whewell. Contrary to standard interpretations (given, for example, by Achinstein, Buchdahl, Butts, and Laudan), I argue that their debate was not over whether to endorse an inductive methodology but rather over the nature of inductive reasoning in science and the types of conclusions yielded by it. Whewell endorses, while Mill rejects, a type of inductive reasoning in which inference is employed to find a property or (...) cause shared by the observed members of a class, which is generalized to all its members, including the unobserved ones. Because of this, Whewell’s inductivism, unlike Mill’s, is able to yield theoretical hypotheses referring to unob-servables such as molecules and light waves. This is contrary to the claims of some critics of inductivism who argue that inductivism is unable to yield such hypotheses. Moreover, I suggest that Whewell’s view of induction conforms more closely than Mill’s view to the practice of scientists such as Kepler, Newton, and Fresnel, who do attempt to discover laws involving unobservables. (shrink)

Most recent discussions of John Stuart Mill’s System of Logic (1843) neglect the fifth book concerned with logical fallacies. Mill not only follows the revival of interest in the traditional Aristotelian doctrine of fallacies in Richard Whately and Augustus De Morgan, but he also develops new categories and an original analysis which enhance the study of fallacies within the context of what he calls ‘the philosophy of error’. After an exploration of this approach, the essay relates the philosophy of error (...) to the discussion of truth and error in chapter two of On Liberty (1859) concerned with freedom of thought and discussion. Drawing on Socratic and Baconian perspectives, Mill defends both the traditional study of logic against Jevons, Boole, De Morgan, and others, as well as the study of fallacies as the key to maintaining truth and its dissemination in numerous fields, such as science, morality, politics, and religion. In Mill’s view the study of fallacies also liberates ordinary people to explore the truth and falsity of ideas and, as such, to participate in society and politics and develop themselves as progressive beings. (shrink)