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)

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)

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)

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)

Explores the science and creative process behind Poe’s cosmological treatise. Silver Winner for Philosophy, 2017 Foreword INDIES Book of the Year Awards In 1848, almost a year and a half before Edgar Allan Poe died at the age of forty, his book Eureka was published. In it, he weaved together his scientific speculations about the universe with his own literary theory, theology, and philosophy of science. Although Poe himself considered it to be his magnum opus, Eureka has mostly been overlooked (...) or underappreciated, sometimes even to the point of being thought an elaborate hoax. Remarkably, however, in Eureka Poe anticipated at least nine major theories and developments in twentieth-century science, including the Big Bang theory, multiverse theory, and the solution to Olbers’ paradox. In this book—the first devoted specifically to Poe’s science side—David N. Stamos, a philosopher of science, combines scientific background with analysis of Poe’s life and work to highlight the creative and scientific achievements of this text. He examines Poe’s literary theory, theology, and intellectual development, and then compares Poe’s understanding of science with that of scientists and philosophers from his own time to the present. Next, Stamos pieces together and clarifies Poe’s theory of scientific imagination, which he then attempts to update and defend by providing numerous case studies of eureka moments in modern science and by seeking insights from comparative biography and psychology, cognitive science, neuroscience, and evolution. David N. Stamos teaches philosophy at York University in Toronto. He is the author of several books, including Darwin and the Nature of Species, also published by SUNY Press. (shrink)

A dominant strand of philosophical thought holds that natural kinds are clusters of objects with shared properties. Cluster theories of natural kinds are often taken to be a late twentieth-century development, prompted by dissatisfaction with essentialism in philosophy of biology. I will argue here, however, that a cluster theory of kinds had actually been formulated by William Whewell (1794-1866) more than a century earlier. Cluster theories of kinds can be characterized in terms of three central commitments, all of which are (...) present in Whewell’s work on classification. Like contemporary cluster theorists, Whewell claims that kinds are united by similarity, that many kinds do not have essences, and that there are “gaps” between kinds. Moreover, Whewell advises taxonomists to look for consilience (roughly, convergence) between different classificatory schemes, a recommendation that reinforces the identification of natural classes with property clusters. Thus Whewell was not only an early cluster theorist, but one with important insights into what a cluster theory of kinds means for the practice of classification. (shrink)

This thesis develops and defends a Peircean conception of the task of metaphysics and critically compares it with recent anti-metaphysical forms of pragmatism. Peirce characterises metaphysics in terms of its place within his hierarchical classification of the sciences. According to the classification, metaphysics depends on logic for principles and provides principles to the natural and social sciences. This arrangement of the sciences is defended by appeal to Peirce's account of philosophy as 'cenoscopy'. The dependence of the natural and social sciences (...) on cenoscopy is then argued for on the basis of Peirce's rejection of psychologism and in terms of the necessity of abductive inference. Peirce's position is then compared with recent forms of pragmatism. While it is less naturalistic, Peirce's position is defended on pragmatist grounds. An account of Peirce on truth is then developed. Peirce's account of truth in terms of an ideal limit of inquiry is defended as consistent with recent, more deflationary, approaches. The truth of 'abstract propositions' is a matter of local indefeasibility. These abstract propositions are related to the 'absolute truth', understood as a single non-abstract proposition. The truth of this proposition is then understood in terms of an identity theory. Two conceptions of Peircean metaphysics are presented. Both are 'abductive'. Their task is to explain the possibility of success in inquiry. However, only one proposal accepts the notion of an absolute truth. The 'absolutist' proposal is defended as an interpretation of Peirce and as a contemporary option for pragmatist philosophers. The thesis concludes by comparing recent anti-metaphysical arguments due to Huw Price with the Peircean position. Room for the absolutist proposal is defended by means of an account of recent exchanges between Price and Robert Brandom on dispositional modality. (shrink)

By focusing on the nineteenth-century debate between William Whewell and Augustus De Morgan on the nature and scope of scientific method and induction, this article captures an important episode in the history of Baconianism. More specifically, it sheds new light on the social and intellectual construction of Francis Bacon as an emblem of modern science and on British Baconianism as part of the creation of a vision of the modern enterprise. A critic of Whewell’s renovated Baconianism and an advocate of (...) an alternative anti-Baconian (or pro-Newtonian) view of science, De Morgan is presented for the first time as a philosopher of science (or metascientist), one who pioneered the application of probability theory to scientific reasoning. (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)

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)

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)

John Herschel's discussion of hypotheses in the Preliminary Discourse on Natural Philosophy has generated questions concerning his commitment to the principle that hypothetical speculation is legitimate only if warranted by inductive evidence. While Herschel explicitly articulates an inductivist philosophy of science, he also asserts that “it matters little how {a hypothesis or theory} has been originally framed” when it can withstand extensive testing and empirical scrutiny. This evidence has convinced some that Herschel endorses an early form of hypothetico-deductivism. I aim (...) to clarify this interpretive puzzle and adduce evidence in support of the inductivist interpretation of Herschel's philosophy of science by examining his published account of a series of experiments in the domain of electromagnetism. (shrink)