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The vision of natural kinds that is most common in the modern philosophy of biology, particularly with respect to the question whether species and other taxa are natural kinds, is based on a revision of the notion by Mill in A System of Logic. However, there was another conception that Whewell had previously captured well, which taxonomists have always employed, of kinds as being types that need not have necessary and sufficient characters and properties, or essences. These competing views employ different approaches to scientific methodologies: Mill’s class-kinds are not formed by induction but by deduction, while Whewell’s type-kinds are inductive. More recently, phylogenetic kinds (clades, or monophyletic-kinds) are inductively projectible, and escape Mill’s strictures. Mill’s version represents a shift in the notions of kinds from the biological to the physical sciences.
In this paper, I examine William Whewell’s (1794–1866) ‘Discoverer’s Induction’, and argue that it 21 supplies a strikingly accurate characterization of the logic behind many statistical methods, exploratory 22 data analysis (EDA) in particular. Such methods are additionally well-suited as a point of evaluation of 23 Whewell’s philosophy since the central techniques of EDA were not invented until after Whewell’s death, 24 and so couldn’t have influenced his views. The fact that the quantitative details of some very general 25 methods designed to suggest hypotheses would so closely resemble Whewell’s views of how theories 26 are formed is, I suggest, a strongly positive comment on these views.
The question whether attempts to vindicate induction should be abandoned in favor of (other) problems of rationality is pressing and difficult. How may we decide rationally when standards for rationality are at issue? It may be useful to first know how we have decided in the past. Whewell's philosophy of science and the reaction to it are discussed. Whewell's contemporaries mistakenly thought that only an inductivist research program could produce an adequate theory of rationality. But this very move violated their own standards of rationality. We should now avoid making the same mistake again. We should return to Whewell's rejected proposal to make the philosophy of science historical and seek thereby to improve rational practice.
Primarily between 1833 and 1840, Whewell attempted to accomplish what natural philosophers and scientists since at least Galileo had failed to do: to provide a systematic and broad-ranged study of the tides and to attempt to establish a general scientific theory of tidal phenomena. In the essay at hand, I document the close interaction between Whewell’s philosophy of science (especially his methodological views) and his scientific practice as a tidologist. I claim that the intertwinement between Whewell’s methodology and his tidology is more fundamental than has hitherto been documented.
A philosophically and historically sensitive account of the engagement of the major protagonists of Victorian British philosophy, Reforming Philosophy considers the controversies between William Whewell and John Stuart Mill on the topics of science, morality, politics, and economics. By situating their debate within the larger context of Victorian society and its concerns, Laura Snyder shows how two very different men—Whewell, an educator, Anglican priest, and critic of science; and Mill, a philosopher, political economist, and parliamentarian—reacted to the challenges of their times, each seeking to reform science as a means of reforming society as a whole. The first book-length examination of the dispute between Mill and Whewell in its entirety, Reforming Philosophy provides a rich and nuanced understanding of the intellectual spirit of Victorian Britain and will be welcomed by philosophers and historians of science, scholars of Victorian studies, and students of the history of philosophy and political economy.
What is induction? John Stuart Mill (1874, p. 208) defined induction as the operation of discovering and proving general propositions. William Whewell (in Butts, 1989, p. 266) agrees with Mill’s definition as far as it goes. Is Whewell therefore assenting to the standard concept of induction, which talks of inferring a generalization of the form “All As are Bs” from the premise that “All observed As are Bs”? Does Whewell agree, to use Mill’s example, that inferring “All humans are mortal” from the premise that “John, Peter and Paul, etc., are mortal” is an example of induction? The surprising answer is “no”. How can this be?
Much of the Mill-Whewell dispute was purely verbal, but much was not. Mill did not understand Whewell; the true character of the non-verbal aspect of the controversy emerges only upon adequate analysis of Whewell's actual position. Such analysis shows that Mill's objections to Whewell were misdirected, although suggestive of other which might, if prosecuted, carry. Ultimately, the dispute has to do with the given; neither man gives an adequate account of it. For this reason, the controversy cannot be resolved definitively in favor of either of them.
Discussion of Aaron D. Cobb, History and Scientific Practice in the Construction of an Adequate Philosophy of Science: Revisiting a Whewell/Mill Debate
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