Hume: Science, Logic, and Mathematics

Given the difficulty of characterizing the quandary introduced in Hume’s Appendix to the Treatise, coupled with the alleged “underdetermination” of the text, it is striking how few commentators have considered whether Hume addresses and/or redresses the problem after 1740—in the first Enquiry, for example. This is not only unfortunate, but ironic; for, in the Appendix, Hume mentions that more mature reasonings may reconcile whatever contradiction(s) he has in mind. I argue that Hume’s 1746 letter to Lord Kames foreshadows a subtle, (...) but significant, shift in Hume’s reasonings regarding the relevance of “real connexions”; that the Enquiry of 1748 provides evidence for this shift; and that this shift obviates Hume’s second thoughts by reconciling the contradiction that he had in mind. In short, Hume’s letter to Kames and Enquiry supply the retrodictive keys to a systematically satisfactory account. (shrink)

This article centers on Hume’s position on the intelligibility of natural philosophy. To that end, the controversy surrounding universal gravitation shall be scrutinized. It is very well-known that Hume sides with the Newtonian experimentalist approach rather than with the Leibnizian demand for intelligibility. However, what is not clear is Hume’s overall position on the intelligibility of natural philosophy. It shall be argued that Hume declines Leibniz’s principle of intelligibility. However, Hume does not eschew intelligibility altogether; his concept of causation itself (...) stipulates mechanical intelligibility. (shrink)

This book contextualizes David Hume's philosophy of physical science, exploring both Hume's background in the history of early modern natural philosophy and its subsequent impact on the scientific tradition.

Given the sharp distinction that follows from Hume’s Fork, the proper epistemic status of propositions of mixed mathematics seems to be a mystery. On the one hand, mathematical propositions concern the relation of ideas. They are intuitive and demonstratively certain. On the other hand, propositions of mixed mathematics, such as in Hume’s own example, the law of conservation of momentum, are also matter of fact propositions. They concern causal relations between species of objects, and, in this sense, they are not (...) intuitive or demonstratively certain, but probable or provable. In this article, I argue that the epistemic status of propositions of mixed mathematics is that of matters of fact. I wish to show that their epistemic status is not a mystery. The reason for this is that the propositions of mixed mathematics are dependent on the Uniformity Principle, unlike the propositions of pure mathematics. (shrink)

The subject of this essay-based dissertation is Hume’s natural philosophy. The dissertation consists of four separate essays and an introduction. These essays do not only treat Hume’s views on the topic of natural philosophy, but his views are placed into a broader context of history of philosophy and science, physics in particular. The introductory section outlines the historical context, shows how the individual essays are connected, expounds what kind of research methodology has been used, and encapsulates the research contributions of (...) the essays. The first essay treats Newton’s experimentalist methodology in gravity research and its relation to Hume’s causal philosophy. It is argued that Hume does not see the relation of cause and effect as being founded on a priori reasoning, similar to the way in which Newton criticized non-empirical hypotheses about the causal properties of gravity. Contrary to Hume’s rules of causation, the universal law does not include a reference either to contiguity or succession, but Hume accepts it in interpreting the force and the law of gravity instrumentally. The second article considers Newtonian and non-Newtonian elements in Hume more broadly. He is sympathetic to many prominently Newtonian themes in natural philosophy, such as experimentalism, critique of hypotheses, inductive proof, and the critique of Leibnizian principles of sufficient reason and intelligibility. However, Hume is not a Newtonian philosopher in many respects: his conceptions regarding space and time, the vacuum, the specifics of causation, the status of mechanism, and the reality of forces differ markedly from Newton’s related conceptions. The third article focuses on Hume’s Fork and the proper epistemic status of propositions of mixed mathematics. It is shown that the epistemic status of propositions of mixed mathematics, such as those concerning laws of nature, is that of matters of fact. The reason for this is that the propositions of mixed mathematics are dependent on the Uniformity Principle. The fourth article analyzes Einstein’s acknowledgement of Hume regarding special relativity. The views of the scientist and the philosopher are juxtaposed, and it is argued that there are two common points to be found in their writings, namely an empiricist theory of ideas and concepts and a relationist ontology regarding space and time. (shrink)

Einstein acknowledged that his reading of Hume influenced the development of his special theory of relativity. In this article, I juxtapose Hume’s philosophy with Einstein’s philosophical analysis related to his special relativity. I argue that there are two common points to be found in their writings, namely an empiricist theory of ideas and concepts, and a relationist ontology regarding space and time. The main thesis of this article is that these two points are intertwined in Hume and Einstein.

One prominent criticism of the abstractionist program is the so-called Bad Company objection. The complaint is that abstraction principles cannot in general be a legitimate way to introduce mathematical theories, since some of them are inconsistent. The most notorious example, of course, is Frege’s Basic Law V. A common response to the objection suggests that an abstraction principle can be used to legitimately introduce a mathematical theory precisely when it is stable: when it can be made true on all sufficiently (...) large domains. In this paper, we raise a worry for this response to the Bad Company objection. We argue, perhaps surprisingly, that it requires very strong assumptions about the range of the second-order quantifiers; assumptions that the abstractionist should reject. (shrink)

Commentators have rightly focused on the reasons why Hume maintains that the conclusions of skeptical arguments cannot be believed, as well as on the role these arguments play in Hume’s justification of his account of the mind. Nevertheless, Hume’s interpreters should take more seriously the question of whether Hume holds that these arguments are demonstrations. Only if the arguments are demonstrations do they have the requisite status to prove Hume’s point—and justify his confidence—about the nature of the mind’s belief-generating faculties. (...) In this paper, I treat Hume’s argument against the primary/secondary quality distinction as my case study, and I argue that it is intended by Hume to be a demonstration of a special variety. (shrink)

According to the Bad Company objection, the fact that Frege’s infamous Basic Law V instantiates the general definitional pattern of higher-order abstraction principles is a good reason to doubt the soundness of this sort of definitions. In this paper I argue against this objection by showing that the definitional pattern of abstraction principles – as extrapolated from §64 of Frege’s Grundlagen– includes an additional requirement (which I call the specificity condition) that is not satisfied by the Basic Law V while (...) is satisfied by other higher-order abstractions such as Hume’s Principle. I also show that the failure of this additional requirement in the case of Basic Law V is engendered by an essential feature of Frege’s conception of logic and thus that Frege himself should not have regarded the Basic Law V as a definition by abstraction. (shrink)

This is a commentary on Adrian Heathcote’s interesting paper ‘Hume’s Master Argument’. Heathcote contends that No-Ought-From-Is is primarily a logical thesis, a ban on Is/Ought inferences which Hume derives from the logic of Ockham. NOFI is thus a variation on what Heathcote calls ‘Hume’s Master Argument’, which he also deploys to prove that conclusions about the future (and therefore a-temporal generalizations) cannot be derived by reason from premises about the past, and that conclusions about external objects or other minds cannot (...) be derived by reason from premises about impressions. Heathcote raises an important question. Having (apparently) argued that our inductive inferences are not justified by reason, Hume puts them down to Custom, and seems to suggest that we OUGHT to indulge this propensity but NOt the superstitious propensities that lead to religious belief. (Query: Why is it right to indulge one non-rational propensity but not the others?) Finally Heathcote argues that just as there are valid, but not formally valid, arguments taking us from claims about inferential relations to claims about what we ought to believe, so there may be valid, but not formally valid, arguments taking us from factual claims about some situation to claims about what we ought to do. -/- I reply that Hume does indeed have a Master Argument and that it does rely on logical principles but not on the logic of Ockham which had been largely forgotten by Hume’s day. Instead Hume relies on the idea widely believed in the 18th Century and taught to Hume at Edinburgh by his logic Professor Colin Drummond, that in a logically valid argument the conclusion is contained in the premises. I reconstruct Hume’s Master Argument using this principle. I draw a careful distinction between two theses: 1) that we cannot get from non-moral premises to moral conclusions with the aid of logic alone and 2) that we cannot get from non-moral premises to moral conclusions with aid of analytic bridge principles. Hume believed the first but not the second. What then is the role of NOFI in the larger argument of the Treatise? To show that the truths of ethics cannot be derived via logic from self-evident truths of some other kind and thus that they are not demonstrable. How can we make sense of Hume’s apparent belief that it is sometimes right to transcend reason and sometimes not? In the case of Custom, we live in a world governed by causal regularities, and, in such a world, induction is in fact a fairly reliable belief-forming mechanism. Thus a suitably qualified spectator (one aware of the kind of world we live in) would tend to approve of indulging it, even if it cannot be justified by reason. However, our superstitious propensities are (and can be known to be) unreliable, since they produce different and inconsistent results in different people. Thus it is it is wrong (something a suitably qualified spectator would disapprove of) to indulge the faculty of Superstition. I also take issue with Heathcote’s penchant for valid, but not formally valid, inferences. I supply the missing premises for Heathcote’s Is/Ought inferences and argue that they are either not true or not necessary. (shrink)

To support my Phd theses and results of my grant research in 1999, I asked 1) prominent chemist Antonín Holý, author of substances to treat hepatitis and HIV, about the indivisibility of the art and science (published in Slovak Narodna Obroda and Czech blisty,cz), 2) the distinguished economist William Baumol about the alternative activities (published in Slovak Nove Slovo, Czech Respekt and blisty.cz), 3) Nobel Laureate Clive Granger about the significance of the economics (published in 2004 in Czech weekly Tyden). (...) The interviews were exhibited in Holland Park, W8 6LU, The Ice House between 18. Oct - 3. Nov. 2013. (shrink)

Hume’s views concerning the existence of body or external objects are notoriously difficult and intractable. The paper sheds light on the concept of body in Hume’s Treatise by defending three theses. First, that Hume’s fundamental tenet that the only objects that are present to the mind are perceptions must be understood as methodological, rather than metaphysical or epistemological. Second, that Hume considers legitimate the fundamental assumption of natural philosophy that through experience and observation we know body. Third, that many of (...) the contradictions and difficulties that interpreters attribute to Hume’s concept of body should be attributed instead, as Hume does, to every system of philosophy. (shrink)

The paper addresses two difficulties that arise in Treatise 1.2.5. First, Hume appears to be inconsistent when he denies that we have an idea of a vacuum or empty space yet allows for the idea of an “invisible and intangible distance.” My solution to this difficulty is to develop the overlooked possibility that Hume does not take the invisible and intangible distance to be a distance at all. Second, although Hume denies that we have an idea of a vacuum, some (...) texts in Treatise 1.2.5 are taken by interpreters to suggest that Hume nonetheless believes that there are vacuums in nature. I discuss the relevant texts and defend the view that Hume does not in fact countenance belief in vacuums. I conclude by outlining an interpretation of Hume’s intention in the Treatise that allows us to understand his discussion of ideas as having implications for the sciences. (shrink)

Hume appeals to different kinds of certainties and necessities in the Treatise. He contrasts the certainty that arises from intuition and demonstrative reasoning with the certainty that arises from causal reasoning. He denies that the causal maxim is absolutely or metaphysically necessary, but he nonetheless takes the causal maxim and ‘proofs’ to be necessary. The focus of this paper is the certainty and necessity involved in Hume’s concept of knowledge. I defend the view that intuitive certainty, in particular, is certainty (...) of the invariability or necessity of relations between ideas. Against David Owen and Helen Beebee, I argue that the certainty involved in intuition depends on the activity of the mind. I argue, further, that understanding this activity helps us understand more clearly one of Hume’s most important theses, namely that experience is the source of a distinct kind of certainty and of necessity. (shrink)

In the Treatise of Human Nature, David Hume mounts a spirited assault on the doctrine of the infinite divisibility of extension, and he defends in its place the contrary claim that extension is everywhere only finitely divisible. Despite this major departure from the more conventional conceptions of space embodied in traditional geometry, Hume does not endorse any radical reform of geometry. Instead Hume espouses a more conservative approach, claiming that geometry fails only “in this single point” – in its purported (...) proofs of infinite divisibility – while “all of its other arguments” remain intact. -/- In this paper, after laying out the prima facie case for Hume’s radical challenge to traditional geometry, I consider five strategies for blocking the arguments for infinite divisibility while conserving most of geometry. I show that each of these interpretive strategies suffers from serious substantive problems, and so none of them delivers an interpretation of Hume’s account that provides him with a way of blocking the geometric arguments for infinite divisibility while sustaining his geometric conservatism. (shrink)

El análisis de los conceptos de espacio y tiempo es generalmente considerado uno de los aspectos menos satisfactorios de la obra de Hume. Kemp Smith ha demostrado que en esta sección del Tratado Hume estaba respondiendo a los argumentos que Pierre Bayle había utilizado para probar que el razonamiento humano siempre termina refutándose a sí mismo. En este ensayo expongo las falacias en los argumentos de Bayle, las cuales están basadas en una comprensión inadecuada del concepto de extensión. Hume no (...) logró detectar dichas falacias y repitió los mismos errores de Bayle, lo cual explica la absurda doctrina del espacio que defiende en el Tratado. (shrink)

The paper addresses two difficulties that arise in Treatise 1.2.5. First, Hume appears to be inconsistent when he denies that we have an idea of a vacuum or empty space yet allows for the idea of an “invisible and intangible distance.” My solution to this difficulty is to develop the overlooked possibility that Hume does not take the invisible and intangible distance to be a distance at all. Second, although Hume denies that we have an idea of a vacuum, some (...) texts in Treatise 1.2.5 are taken by interpreters to suggest that Hume nonetheless believes that there are vacuums in nature. I discuss the relevant texts and defend the view that Hume does not in fact countenance belief in vacuums. I conclude by outlining an interpretation of Hume’s intention in the Treatise that allows us to understand his discussion of ideas as having implications for the sciences. (shrink)

Neo-logicism uses definitions and Hume's Principle to derive arithmetic in second-order logic. This paper investigates how much arithmetic can be derived using definitions alone, without any additional principle such as Hume's.

Throughout history, almost all mathematicians, physicists and philosophers have been of the opinion that space and time are infinitely divisible. That is, it is usually believed that space and time do not consist of atoms, but that any piece of space and time of non-zero size, however small, can itself be divided into still smaller parts. This assumption is included in geometry, as in Euclid, and also in the Euclidean and non- Euclidean geometries used in modern physics. Of the few (...) who have denied that space and time are infinitely divisible, the most notable are the ancient atomists, and Berkeley and Hume. All of these assert not only that space and time might be atomic, but that they must be. Infinite divisibility is, they say, impossible on purely conceptual grounds. (shrink)

If Tahiti suggested to theorists comfortably at home in Europe thoughts of noble savages without clothes, those who paid for and went on voyages there were in pursuit of a quite opposite human ideal. Cook's voyage to observe the transit of Venus in 1769 symbolises the eighteenth century's commitment to numbers and accuracy, and its willingness to spend a lot of public money on acquiring them. The state supported the organisation of quantitative researches, employing surveyors and collecting statistics to..

In an illuminating article, Claus Beisbart argues that the recently-popular thesis that the probabilities of statistical mechanics (SM) are Best System chances runs into a serious obstacle: there is no one axiomatization of SM that is robustly best, as judged by the theoretical virtues of simplicity, strength, and fit. Beisbart takes this 'no clear winner' result to imply that the probabilities yielded by the competing axiomatizations simply fail to count as Best System chances. In this reply, we express sympathy for (...) the 'no clear winner' thesis. However, we argue that an importantly different moral should be drawn from this. We contend that the implication for Humean chances is not that there are no SM chances, but rather that SM chances fail to be sharp. (shrink)

Hume appeals to different kinds of certainties and necessities in the Treatise. He contrasts the certainty that arises from intuition and demonstrative reasoning with the certainty that arises from causal reasoning. He denies that the causal maxim is absolutely or metaphysically necessary, but he nonetheless takes the causal maxim and ‘proofs’ to be necessary. The focus of this paper is the certainty and necessity involved in Hume’s concept of knowledge. I defend the view that intuitive certainty, in particular, is certainty (...) of the invariability or necessity of relations between ideas. Against David Owen and Helen Beebee, I argue that the certainty involved in intuition depends on the activity of the mind. I argue, further, that understanding this activity helps us understand more clearly one of Hume’s most important theses, namely that experience is the source of a distinct kind of certainty and of necessity. (shrink)

La obra filosófica de David Hume es celebrada como una de las más importantes de un autor de habla inglesa. Tal reconocimiento se debe en gran medida a su crı́tica al concepto de causalidad, que despertó a Kant de su “sueño dogmático”.En otro plano, también es reconocida la crı́tica de Hume al sistema comercial defendido por los mercantilistas. Por lo general, las dos crı́ticas han sido estudiadas de manera aislada por distintas disciplinas historiográficas. El presente trabajo se propone abordar conjuntamente (...) el concepto de causa que Hume desarrolla en ambas crı́ticas. En su obra filosófica, Hume argumenta que el concepto de causa no es un producto de la razón, sino una creencia que proviene de la costumbre de percibir que un hecho empı́rico sucede a otro. Por otra parte, en su obra económica se apoya en leyes económicas causales referidas al sistema de comercio mundial para mostrar el carácter contradictorio de la defensa del sistema comercial llevado adelante por los mercantilistas. (shrink)

The theories of Locke, Hume and Kant dominate contemporary philosophical discourse on property rights. This is particularly true of applied ethics, where they are used to settle issues from biotech patents to managerial obligations. Within these theories, however, the usual criticisms of private property aren’t even as much as intelligible. Locke, Hume and Kant, I argue, develop claims about property on a model economy that I call “Frontier Town.” They and contemporary authors then apply these claims to capitalist economies. There (...) are two problems with this application: First, we’ll be considering the wrong kind of property: The only property in Frontier Town are means of life. Critics, however, object to property in concentrated capital because they associate only this kind of property with economic coercion and political power. Second, the two economies differ in central features, so that very different claims about empirical consequences and hence about fairness and merit will be plausible for each. This second problem, I argue, is a consequence of the first. I conclude that Frontier Town theories are more likely to distort than to illuminate property issues in capitalist economies. (shrink)

MARGARET LYNN SCHABAS (Toronto, 1954) is professor of philosophy at the University of British Columbia in Vancouver and served as the head of the Philosophy Department from 2004-2009. She has held professoriate positions at the University of Wisconsin-Madison and at York University, and has also taught as a visiting professor at Michigan State University, University of Colorado-Boulder, Harvard, CalTech, the Sorbonne, and the École Normale de Cachan. As the recipient of several fellowships, she has enjoyed visiting terms at Stanford, Duke, (...) MIT, Cambridge, the LSE, and the MPI-Berlin. In addition to her doctorate in the history and philosophy of science and technology (Toronto 1983), she holds a bachelor of science in music (oboe) and the philosophy of science (Indiana 1976), a master’s degree in the history and philosophy of science (Indiana 1977), and a master’s degree in economics (Michigan1985). -/- She has published four books and over forty articles or book chapters in science studies. Some of the journals in which her articles can be found are Isis, Monist, History of Political Economy, Public Affairs Quarterly, Daedaelus, Journal of Economic Perspectives, and Studies in the History and Philosophy of Science. Her first book, A world ruled by number (1990) examines the emergence of mathematical economics in the second half of the nineteenth century. Her second book, The natural origins of economics (2005), traces the transformation of economics from a natural to a social science. She also has two co-edited collections, Oeconomies in the age of Newton (2003), with Neil De Marchi, and David Hume’s political economy (2008), with Carl Wennerlind. She is currently writing a monograph on Hume’s economics, as well as articles on the history and philosophy of bioeconomics. She is currently president of the History of Economics Society. -/- EJPE interviewed Margaret Schabas at the University of British Columbia in March 2013. In this interview, she recounts her earliest foray into the history and philosophy of economics, the conceptual trade between economics and natural science, and her most recent undertaking: the history and philosophy of bioeconomics. (shrink)

There seems a potential tension between Hume’s naturalistic project and his normative ambitions. Hume adopts what I call a methodological naturalism: that is, the methodology of providing explanations for various phenomena based on natural properties and causes. This methodology takes the form of introducing ‘the experimental method of reasoning into moral subjects’, as stated in the subtitle of the Treatise; this ‘experimental method’ seems a paradigmatically descriptive one, and it remains unclear how Hume derives genuinely normative prescriptions from this methodology. (...) -/- In resolving this problem, I will argue that Hume’s naturalistic methodology – that is, his ‘experimental philosophy’ (THN Intro 7), or what has come to be known as his experimental method – consists of the systematisation of phenomena pertaining to human nature. In applying his experimental method to normative subjects, Hume systematises our normative judgments, deriving general principles of normative justification; he then reflexively applies these principles to the pre-philosophical judgments from which they derive, dismissing and/or correcting those that do not accord with his systematised account. I will argue that Hume’s experimental method, far from being wholly descriptive, is in fact thoroughly infused with normativity; furthermore, the very application of this methodology to our normative judgments reveals Hume’s normative ambitions. (shrink)

Gözlemlenenlerden gözlemlen(e)meyenlere diğer bir deyişle genel yasalara ulaşma imkânı veren çıkarım yöntemi olarak tümevarımsal ya da endüktif akıl yürütmenin rasyonel olarak temellendirilmesinin imkanına yönelik soruşturma tarih içerisinde tümevarım sorunu ya da endüksiyon problemi olarak tezahür etmiştir. Bu sorunun temel argümanı tarihsel okumalara baktığımızda İskoç ampirist filozof David Hume tarafından öne sürülmüştür. Hume, tümevarımsal çıkarımlar temelinde, gözlenmeyen meseleler hakkındaki inançlarımıza hangi gerekçelerle ulaştığımızı soruşturmaktadır. Hume soruşturmasının sonucunda gözlemlenenden gözlemlen(e)meyen durumlara ilişkin yapılan olgu meseleleri ile ilgili bütün tümevarımsal akıl yürütmelerin dolaylı ya (...) da dolaysız olarak nedensellik ilişkisine ve bu ilişkinin temelinde yer alan doğanın düzenliliği ilkesi ya da “gelecek her zaman geçmişe benzer” önermesine dayandığını ifade ederek bütün tümevarımsal akıl yürütmelerde ortak olan geleceğin her zaman geçmişe benzeyeceği ifadesinin rasyonel olarak temellendirilmesinin mümkün olmadığını belirtmektedir. Bu bağlamda, çalışmada tümevarımsal akıl yürütme sonucunda ulaşılan sonuca inanmanın hiçbir rasyonel temelinin olamayacağı yönündeki Hume’un görüşü argüman formunda yeniden yapılandırılarak ortaya konulacaktır. (shrink)

Nesse artigo, apresento a crítica de Hume de seu Tratado da natureza humana contra a garantia de inferência de causalidade a partir de argumentos de cunho psicológico e de um argumento lógico. Em seguida, são esclarecidos os detalhes da crítica que Popper dirige contra Hume em seu artigo Ciência: Conjecturas e refutações, no qual foca em uma solução do Problema de Hume – considerado como uma faceta do Problema da Demarcação. Explicarei que Popper defende que a ciência avança sempre da (...) teoria em direção à observação – e não o contrário – e que uma atitude crítica em relação às inferências de causalidade pode nos livrar de um dogmatismo irracional. Ainda assim, sustento que Popper está mais para um reformador do pensamento de Hume do que para um demolidor. (shrink)

The relationship between Adam Smith's official methodology and his own actual theoretical practice as a social scientist may be grasped only against the background of the Humean project of a Moral Newtonianism. The main features in Smith's methodology are: (i) the provisional character of explanatory principles; (ii) 'internal' criteria of truth; (iii) the acknowledgement of an imaginative aspect in principles, with the related problem of the relationship between internal truth and external truth, in terms of mirroring of 'real' causes. Smith's (...) Newtonian (as opposed to Cartesian) methodology makes room for progress in social theorizing in so far as it allows for a decentralization of the various fields of the Moral Science, contributing to the shaping of political economy. On the other hand, the Cartesian legacy in Smith's Newtonian methodology makes the relationship between phenomena and theoretical principles highly problematic. (shrink)

We may distinguish two interpretations of the relation between Newton’s natural philosophy and Hume’s science of human nature. The first interpretation can be called ‘traditional,’ the second ‘critical.’ This article will not side with either readings of Hume’s Newtonianism (or with some middle positions). Instead, essential points of confluence and divergence will be discussed.

In this paper I reconstruct the birth, blossoming and decline of an eighteenth century program, namely “Moral Newtonianism”. I reconstruct the interaction, or co-existence, of different levels: positive theories, methodology, worldviews and trace the presence of scattered items of the various levels in the work of Hume, Adam Smith, Adam Ferguson, Dugald Stewart. I highlight how Mirowski’s reconstruction of the interaction between physics and economics may be extended to the eighteenth century in an interesting way once the outdated reconstruction of (...) Adam Smith that has been adopted by Mirowski is updated. I show how general methodological ideas, such as the distinction between ultimate causes or essences and intermediate principles, that originated in a context where the issue was the interaction between natural science and theology, proved useful when transferred to social theory in encouraging a kind of “experimental” approach to social phenomena. I discuss finally the genesis of frozen metaphors such as equilibrium, circulation, and value, arguing that Canguilhem’s lesson – namely that scientific change is produced not only by similarity but also by opposition – may be applied also to the history of economic thought. I take as an example Adam Smith’s ‘discovery’ of social mechanisms vis-à-vis his sceptical mistrust of neo-Stoic and Platonic views of a world-order. (shrink)

Tamas Demeter presents a clear and compelling new perspective of Hume’s methodology and conceptual structure in David Hume and the Culture of Scottish Newtonianism. Hume, he argues, is a Newtonian of the Scottish tradition, but not the mechanical kind that is modeled after the Principia. Instead, Hume should be understood as a kind of European Enlightenment “vitalist.” As a result, his work reflects the more organic methodology that defines Newton’s Opticks.

I shall argue that when Hume refers to the laws of dynamics, he tacitly assumes a mechanism. Nevertheless, he remains agnostic on whether the hidden micro-constitution of bodies is machinelike. Hence this article comes to the following conclusion. Hume is not a full-blown mechanical philosopher. Still his position on dynamic laws and his concept of causation instantiate a tacitly mechanical understanding of the interactions of bodies.

Although the main focus of Hume’s career was in the humanities, his work also has an observable role in the historical development of natural sciences after his time. To show this, I shall center on the relation between Hume and two major figures in the history of the natural sciences: Charles Darwin (1809–1882) and Albert Einstein (1879–1955). Both of these scientists read Hume. They also found parts of Hume’s work useful to their sciences. Inquiring into the relations between Hume and (...) the two scientists shows that his philosophical positions had a partial but constructive role in the formation of modern biology and physics. This is accordingly a clear indication of Hume’s impact on the scientific tradition. Before proceeding to analyze Hume’s contribution to the history of science, it is important to address his broader role in the history of philosophy of science. Hume’s discussions concerning the topics of causation, induction, the distinction between mathematical and empirical propositions, and laws of nature have been important for the philosophy of science of the nineteenth and twentieth centuries. (shrink)

Up till this day one cannot find much scholarship which situates Hume in the context of early modern natural philosophy. Tamás Demeter's new book, David Hume and the Culture of Scottish Newtonianism, does a spectacular job in filling this gap. His monograph is the most comprehensive pursuit to understand Hume's place in the Newtonian tradition of natural philosophy. Demeter specifies Hume's place both in the context of Newtonian moral philosophy and Newtonian chemistry and physiology.

Title in English: Of the Methodological Functions of Practices in Hume's Conception of Philosophy.

This chapter examines the relationship between laws and mechanisms as approaches to characterising generalizations and explanations in science. I give an overview of recent historical discussions where laws failed to satisfy stringent logical criteria, opening the way for mechanisms to be investigated as a way to explain regularities in nature. This followed by a critical discussion of contemporary debates about the role of laws versus mechanisms in describing versus explaining regularities. I conclude by offering new arguments for two roles for (...) laws that mechanisms cannot subsume, one epistemically optimistic and one pessimistic, both broadly Humean. Do note that this piece is not primarily Hume exegesis; it is more of a riff in the key of Hume. (shrink)

In a recent paper, Barry Loewer attempts to defend Humeanism about laws of nature from a charge that Humean laws are not adequately explanatory. Central to his defense is a distinction between metaphysical and scientific explanations: even if Humeans cannot offer further metaphysical explanations of particular features of their “mosaic,” that does not preclude them from offering scientific explanations of these features. According to Marc Lange, however, Loewer’s distinction is of no avail. Defending a transitivity principle linking scientific explanantia to (...) their metaphysical grounds, Lange argues that a charge of explanatory inadequacy resurfaces once this intuitive principle is in place. This paper surveys, on behalf of the Humean, three strategies for responding to Lange’s criticism. The ready availability of these strategies suggests that Lange’s argument may not bolster anti-Humean convictions, since the argument rests on premises that those not antecedently sharing these convictions may well reject. The three strategies also correspond to three interesting ways of thinking about relations of grounding linking Humean laws and their instances, all of which are consistent with theses of Humean supervenience, and some of which have been heretofore overlooked. (shrink)

C. Howson’s probabilistic logic as a comprehensive methodological account of scientific inference, which avoids Hume’s inductive skepticism, is discussed against the background of the latter’s quantitative theory of money. Hume’s theory leads to two causal accounts that may appear to be contradictory. As the more general one suggests neutrality of money, while the more descriptive attributes causal influence to specie-flow mechanism of money. The former is grounded by a counterfactual reasoning. The discussion of recent examples of bayesian counterfactual models leads (...) to the conclusion that despite the possibility of a uniform account of Hume’s theory of money, it seems beyond the scope of the Bayesian probabilistic logic offered by Howson. (shrink)

Hume’s views concerning the existence of body or external objects are notoriously difficult and intractable. The paper sheds light on the concept of body in Hume’s Treatise by defending three theses. First, that Hume’s fundamental tenet that the only objects that are present to the mind are perceptions must be understood as methodological, rather than metaphysical or epistemological. Second, that Hume considers legitimate the fundamental assumption of natural philosophy that through experience and observation we know body. Third, that many of (...) the contradictions and difficulties that interpreters attribute to Hume’s concept of body should be attributed instead, as Hume does, to every system of philosophy. (shrink)

The paper addresses two difficulties that arise in Treatise 1.2.5. First, Hume appears to be inconsistent when he denies that we have an idea of a vacuum or empty space yet allows for the idea of an “invisible and intangible distance.” My solution to this difficulty is to develop the overlooked possibility that Hume does not take the invisible and intangible distance to be a distance at all. Second, although Hume denies that we have an idea of a vacuum, some (...) texts in Treatise 1.2.5 are taken by interpreters to suggest that Hume nonetheless believes that there are vacuums in nature. I discuss the relevant texts and defend the view that Hume does not in fact countenance belief in vacuums. I conclude by outlining an interpretation of Hume’s intention in the Treatise that allows us to understand his discussion of ideas as having implications for the sciences. (shrink)

Hume appeals to different kinds of certainties and necessities in the Treatise. He contrasts the certainty that arises from intuition and demonstrative reasoning with the certainty that arises from causal reasoning. He denies that the causal maxim is absolutely or metaphysically necessary, but he nonetheless takes the causal maxim and ‘proofs’ to be necessary. The focus of this paper is the certainty and necessity involved in Hume’s concept of knowledge. I defend the view that intuitive certainty, in particular, is certainty (...) of the invariability or necessity of relations between ideas. Against David Owen and Helen Beebee, I argue that the certainty involved in intuition depends on the activity of the mind. I argue, further, that understanding this activity helps us understand more clearly one of Hume’s most important theses, namely that experience is the source of a distinct kind of certainty and of necessity. (shrink)

In this paper I try to explain a strange omission in Hume’s methodological descriptions in his first Enquiry. In the course of this explanation I reveal a kind of rationalistic tendency of the latter work. It seems to contrast with “experimental method” of his early Treatise of Human Nature, but, as I show that there is no discrepancy between the actual methods of both works, I make an attempt to explain the change in Hume’s characterization of his own methods. This (...) attempt leads to the question about his interpretation of the science of human nature. I argue that his view on this science was not a constant one and that initially he identified this science with his account of passions. As this presupposes the primacy of Book 2 of his Treatise I try to find new confirmations of the old hypothesis that this Book had been written before the Book 1, dealing with understanding. Finally, I show that this discussion of Hume’s methodology may be of some interest to proponents of conceptual analysis. -/- . (shrink)

This paper provides epistemological support for one of Hume’s numerous critiques of the teleological arguments for God’s existence. Hume explores the following question: can we explain the observed harmony of the universe without appealing to the work of an intelligent creator? The answer, presented through the character of Philo, appears to be positive. I will try to defend this position. Following Hume’s theory of space, and exploring the relation between ideas of the whole and relation, I will show the universe (...) can be seen as finite space with definite numbers of parts which are spatially and causally interconnected. Because all changes occur on the basis of Hume’s principle of causation, we can say the harmony of the universe is established and maintained precisely because of the changes happening on the basis of causation. If this is the case, the role of the intelligent creator appears to be redundant. (shrink)

A central question in the philosophy of science is: What is a law of nature? Different answers to this question define an important schism: Humeans, in the wake of David Hume, hold that the laws of nature are nothing over and above what actually happens and reject irreducible facts about natural modality (Lewis, 1983, 1994; cf. Miller, 2015). According to Non-Humeans, by contrast, the laws are metaphysically fundamental (Maudlin, 2007) or grounded in primitive modal structures, such as dispositional essences of (...) powerful properties (Bird, 2007), necessitation relations (Armstrong, 1983), or primitive subjunctive facts (Lange, 2009). This volume focuses on recent developments in the discussion of Humeanism, specifically on pragmatic versions of the view that put the needs of limited agents like us front and center. (shrink)

The common view that Hume is a regularity theorist about laws of nature isn’t textually well grounded. The texts show that he thinks of them as objective governing principles that could conceivably be violated while still counting as a law of nature. This is a standard view at the time, and Hume borrows it from others. He implies that the best evidence for rational religion is the exceptionless workings of the laws of nature, he argues that suicide isn’t incompatible with (...) the will of God by identifying his will with the laws of nature, and he has Philo argue for the existence of God from the simplicity of the laws governing the world. He sheds some of the theological baggage that laws of nature carry at the time, but not all of it. (shrink)

Gözlemlenenlerden gözlemlen(e)meyenlere diğer bir deyişle genel yasalara ulaşma imkânı veren çıkarım yöntemi olarak tümevarımsal ya da endüktif akıl yürütmenin rasyonel olarak temellendirilmesinin imkanına yönelik soruşturma tarih içerisinde tümevarım sorunu ya da endüksiyon problemi olarak tezahür etmiştir. Bu sorunun temel argümanı tarihsel okumalara baktığımızda İskoç ampirist filozof David Hume tarafından öne sürülmüştür. Hume, tümevarımsal çıkarımlar temelinde, gözlenmeyen meseleler hakkındaki inançlarımıza hangi gerekçelerle ulaştığımızı soruşturmaktadır. Hume soruşturmasının sonucunda gözlemlenenden gözlemlen(e)meyen durumlara ilişkin yapılan olgu meseleleri ile ilgili bütün tümevarımsal akıl yürütmelerin dolaylı ya (...) da dolaysız olarak nedensellik ilişkisine ve bu ilişkinin temelinde yer alan doğanın düzenliliği ilkesi ya da “gelecek her zaman geçmişe benzer” önermesine dayandığını ifade ederek bütün tümevarımsal akıl yürütmelerde ortak olan geleceğin her zaman geçmişe benzeyeceği ifadesinin rasyonel olarak temellendirilmesinin mümkün olmadığını belirtmektedir. Bu bağlamda, çalışmada tümevarımsal akıl yürütme sonucunda ulaşılan sonuca inanmanın hiçbir rasyonel temelinin olamayacağı yönündeki Hume’un görüşü argüman formunda yeniden yapılandırılarak ortaya konulacaktır. (shrink)

The well-known empiricist apories of the lawfulness of nature prevent an adequate philosophical interpretation of empirical science until this day. Clarification can only be expected through an immanent refutation of the empiricist point of view. My argument is that Hume’s claim, paradigmatic for modern empiricism, is not just inconsequent, but simply contradictory: Empiricism denies that a lawlike character of nature can be substantiated. But, as is shown, anyone who claimes experience to be the basis of knowledge (as the empiricist naturally (...) does), has, in fact, always already presupposed the lawfullness of nature, i.e. has assumed the ontology of a nature lawful in itself. If lawfulness is, more closely, understood as dependency on conditions, then the functional character of the laws of nature is involved with the consequence that verification is not to be taken as a mere repetition of measurements but as clarification of the conditional structure of the physical process. Furthermore the functionality of the laws of nature also includes a statement on their invariance (relative to certain transformations) and so their lawlikeness. This throws a new light on the problem of induction. Seen in this way it is hardly surprising that the notorious neglect of the functional aspect in empiricism has led to fundamental problems with the concept of the law of nature. (shrink)

Contemporary Humeans treat laws of nature as statements of exceptionless regularities that function as the axioms of the best deductive system. Such ‘Best System Accounts’ marry realism about laws with a denial of necessary connections among events. I argue that Hume’s predecessor, George Berkeley, offers a more sophisticated conception of laws, equally consistent with the absence of powers or necessary connections among events in the natural world. On this view, laws are not statements of regularities but the most general rules (...) God follows in producing the world. Pace most commentators, I argue that Berkeley’s view is neither instrumentalist nor reductionist. More important, the Berkeleyan Best System can solve some of the problems afflicting its Humean rivals, including the problems of theory choice and Nancy Cartwright’s ‘facticity’ dilemma. Some of these solutions are available in the contemporary context, without any appeal to God. Berkeley’s account deserves to be taken seriously in its own right. (shrink)