Primarily between 1833 and 1840, William 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. I document the close interaction between Whewell’s philosophy of science 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.Keywords: (...) William Whewell; Tidology; History of HPS; Scientific methodology; Whewell papers. (shrink)

Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations. -/- The book begins by first challenging the (...) assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics. ​. (shrink)

William Whewell’s 19th century philosophy of science is sometimes glossed over as a footnote to Kant. There is however a key feature of Whewell’s account worth noting. This is his appeal to Aristotle’s form/matter hylomorphism as a metaphor to explain how mind and world merge in successful scientific inquiry. Whewell’s hylomorphism suggests a middle way between rationalism and empiricism reminiscent of experience pragmatists like Steven Levine’s view that mind and world are entwined in experience. I argue however that Levine does (...) not adequately explain exactly how mind and world entwine. He could nonetheless do so if he appealed to Whewell’s hylomorphic metaphor. We may prefer a reductive metaphysical explanation, but I suggest that pragmatists only have recourse to metaphor in this case. Both reductive and metaphorical explanations can enjoy great explanatory power if they exhibit a suitable measure of what I will call sematic distance. Semantic distance measures how close or how far apart explanandum and explanans are from each other in meaning. Metaphorical explanation as evident in Whewell’s hylomorphism and as detailed via the notion of semantic distance presents a valuable new explanatory tool to those who hold that mind and world are entwined sans recourse to metaphysics. (shrink)

This thesis is concerned with John Stuart Mill’s democratic theory. In chapter I, I examine the relations between political philosophy and political theory and science before providing a detailed outline of the aims of the dissertation. In chapter II, I argue that in order to reconcile the concepts of progress and equality within a utilitarian theory, a Millian political system needs to devise institutions that promote general happiness, protect individual autonomy, safeguard society from mediocrity. Chapter III discusses what different authors (...) have said about Mill and liberty, then explores James Mill’s theory of education and Coleridge’s influence on John Stuart Mill’s thought. I conclude by criticising Richard Arneson’s interpretation according to which the Considerations and On Liberty are inconsistent, and some of Gregory Claeys’ conclusions on Mill and paternalism. Chapter IV explores the methodology of the social sciences and the philosophy of history as found in Mill’s writings; then it considers Mill’s thought in regard to his father’s Radical proposals. I also discuss at some length the idea of the tyranny of the majority. Chapter V begins with a discussion of Hanna Pitkin’s theory of representation. I then provide a critical account of Richard Krouse and Nadia Urbinati’s interpretations of Mill. I conclude by arguing that, in a Millian democracy, the higher is the degree of complexity or the need for expertise in dealing with affairs, the greater is the bearing of the principle of competence in assessing whether a representative should act as a trustee or a delegate. I also introduce the idea of rational debate as a sort of ‘influence multiplier’, arguing that this would help to make a democracy rational and effective along Millian lines. In the last two chapters, I stress the relevance of Mill’s political philosophy as for some contemporary issues (nationalism, European federalism, current social and economic changes) while suggesting some potential further investigations, and summarise my conclusions. (shrink)

Mathematicians often speak of conjectures, yet unproved, as probable or well-confirmed by evidence. The Riemann Hypothesis, for example, is widely believed to be almost certainly true. There seems no initial reason to distinguish such probability from the same notion in empirical science. Yet it is hard to see how there could be probabilistic relations between the necessary truths of pure mathematics. The existence of such logical relations, short of certainty, is defended using the theory of logical probability (or objective Bayesianism (...) or non-deductive logic), and some detailed examples of its use in mathematics surveyed. Examples of inductive reasoning in experimental mathematics are given and it is argued that the problem of induction is best appreciated in the mathematical case. (shrink)

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. (shrink)

This article argues that Brentano’s classification of mental phenomena is best understood against the background of the theories of natural classification held by Auguste Comte and John Stuart Mill. Section 1 offers a reconstruction of Brentano’s two-premise argument for his tripartite classification. Section 2 gives a brief overview of the reception and historical background of the classification project. Section 3 addresses the question as to why a classification of mental phenomena is needed at all and traces the answer back to (...) Mill’s view that psychological laws are class-specific. Section 4 and 5 connect the second premise of Brentano’s argument to Comte’s principle of comparative likeness and Mill’s insistance that class membership is determined by the possession of common characteristics. And section 6 briefly discusses the evidence Brentano provides for the first premise. (shrink)

In this essay, I call attention to Kant’s and Whewell’s attempt to provide bridging principles between a priori principles and scientific laws. Part of Kant’s aim in the Opus postumum (ca. 1796-1803) was precisely to bridge the gap between the metaphysical foundations of natural science (on the Metaphysical Foundations of Natural Science (1786) see section 1) and physics by establishing intermediary concepts or ‘Mittelbegriffe’ (henceforth this problem is referred to as ‘the bridging-problem’). I argue that the late-Kant attempted to show (...) that the concept of ‘moving force’, an intermediary concept derived from a priori principles, could be given empirical content so that concrete scientific knowledge is arrived at. Thus, the late-Kant wished not only to show that proper scientific laws are necessary a priori (as he had shown in the Metaphysical Foundations of Natural Science) but also that intermediary concepts could be derived from a priori principles which, when interpreted empirically, resulted in the specific forces as established by physics (see section 2). Of course, William Whewell never knew about Kant’s Opus postumum and his attempt to bridge the gap between the metaphysical foundations of science and physics. However, it is striking that Whewell had similar concerns about the Critique of Pure Reason and the Metaphysical Foundations of Natural Science as Kant himself. According to Whewell, the Kantian project was incomplete because it did not show how ‘modifications’ (in the sense of concretizations) of a priori principles could result in empirical laws (section 3). Next, it will be argued, by taking into account several of Whewell’s philosophical notebooks which have scarcely been studied systematically, that Whewell’s doctrine of Fundamental Ideas grew out of his dissatisfaction with the Kantian project with respect to the bridging problem and that his own philosophical position should be seen as an attempt to bypass the bridging-problem. (shrink)