by induction by simple enumeration: Mill argues plausibly that on the basis of experience this method becomes more reliable the more generic is the hypothesis that it is used to justify. But like Hume, Mill holds that for any generalization from experience the evidence can never be sufficient to eliminate all possibility of doubt. Explanation for Mill, as for the logical positivists, is by subsumption under matter-of-fact generalizations. Causal generalizations that state sufficient or necessary and sufficient conditions are more desirable as explanations than mere regularities. Still more desirable is a law or body of laws that gives necessary and sufficient conditions for any state of a system, i.e., a body of laws for which there are no explanatory gaps. As for explanation of laws, this can proceed either by filling in gaps or by subsuming the law under a generic theory that unifies the laws of several areas.
Mill argues that in the social sciences the subject matter is too complex to apply the normal methods of experiment. But he also rejects the purely deductive method of the Benthamite political economists such as his father and David Ricardo. Rather, one must deduce the laws for wholes, i.e., the laws of economics and sociology, from the laws for the parts, i.e., the laws of psychology, and then test these derived laws against the accumulated data of history. Mill got the idea for this methodology of the social sciences from Comte, but unfortunately it is vitiated by the false idea, already noted, that one can deduce without any further premise the laws for wholes from the laws for the parts. Subsequent methodologists of the social sciences have come to substitute the more reasonable methods of statistics for this invalid method Mill proposes.
Mill’s account of scientific method does work well for empirical sciences, such as the chemistry of his day. He was able to show, too, that it made good sense of a great deal of physics, though it is arguable that it cannot do justice to theories that explain the atomic and subatomic structure of matter – something Mill himself was prepared to acknowledge. He also attempted to apply his views to geometry, and even more implausibly, to arithmetic. In these areas, he was certainly bested by Whewell, and the world had to wait for the logical work of Russell and Whitehead before a reasonable empiricist account of these areas became available.
Metaphysics. The starting point of all inference is the sort of observation we make through our senses, and since we know by experience that we have no ideas that do not derive from sense experience, it follows that we cannot conceive a world beyond what we know by sense. To be sure, we can form generic concepts, such as that of an event, which enable us to form concepts of entities that we cannot experience, e.g., the concept of the tiny speck of sand that stopped my watch or the concept of the event that is the cause of my present sensation. Mill held that what we know of the laws of sensation is sufficient to make it reasonable to suppose that the immediate cause of one’s present sensation is the state of one’s nervous system. Our concept of an objective physical object is also of this sort; it is the set of events that jointly constitute a permanent possible cause of sensation. It is our inductive knowledge of laws that justifies our beliefs that there are entities that fall under these concepts. The point is that these entities, while unsensed, are (we reasonably believe) part of the world we know by means of our senses. The contrast is to such things as the substances and transcendent Ideas of rationalists, or the God of religious believers, entities that can be known only by means that go beyond sense and inductive inferences therefrom. Mill remained essentially pre-Darwinian, and was willing to allow the plausibility of the hypothesis that there is an intelligent designer for the perceived order in the universe. But this has the status of a scientific hypothesis rather than a belief in a substance or a personal God transcending the world of experience and time. Whewell, at once the defender of rationalist ideas for science and for ethics and the defender of established religion, is a special object for Mill’s scorn. Social and political thought. While Mill is respectful of the teachings of religious leaders such as Jesus, the institutions of religion, like those of government and of the economy, are all to be subjected to criticism based on the principle of utility: Do they contribute to human welfare? Are there any alternatives that could do better? Thus, Mill argues that a free-market economy has many benefits but that the defects, in terms of poverty for many, that result from private ownership of the means of production may imply that we should institute the alternative of socialism or public ownership of the means of production. He similarly argues for the utility of liberty as a social institution: under such a social order individuality will be encouraged, and this individuality in turn tends to produce innovations in knowledge, technology, and morality that contribute significantly to improving the general welfare. Conversely, institutions and traditions that stifle individuality, as religious institutions often do, should gradually be reformed. Similar considerations argue on the one hand for democratic representative government and on the other for a legal system of rights that can defend individuals from the tyranny of public opinion and of the majority. Status of women. Among the things for which Mill campaigned were women’s rights, women’s suffrage, and equal access for women to education and to occupations. He could not escape his age and continued to hold that it was undesirable for a woman to work to help support her family. While he disagreed with his father and Bentham that all motives are egoistic and self-interested, he nonetheless held that in most affairs of economics and government such motives are dominant. He was therefore led to disagree with his father that votes for women are unnecessary since the male can speak for the family. Women’s votes are needed precisely to check the pursuit of male self-interest. More generally, equality is essential if the interests of the family as such are to be served, rather than making the family serve male self-interest as had hitherto been the case. Changing the relation between men and women to one of equality will force both parties to curb their self-interest and broaden their social sympathies to include others. Women’s suffrage is an essential step toward the moral improvement of humankind.
See also BENTHAM , EMPIRICISM , MILL’s METHODS , PHILOSOPHY OF THE SOCIAL SCI – ENCES , UTILITARIANISM , WHEWEL. F.W.