Graciela De Pierris presents a novel interpretation of the relationship between skepticism and naturalism in Hume's epistemology, and a new appraisal of Hume's place within early modern thought. Contrary to dominant readings, she argues that Hume does offer skeptical arguments concerning causation and induction in Book I, Part III of the Treatise, and presents a detailed reading of the skeptical argument she finds there and how this argument initiates a train of skeptical reasoning that begins in Part III (...) and culminates in Part IV. She goes on to demonstrate that Hume was committed to the Newtonian inductive method while rejecting the place of the supernatural in our understanding of nature. (shrink)

By giving the proper emphasis to both radical skepticism and naturalism as two independent standpoints in Hume, I wish to propose a more satisfactory account of some of the more puzzling Humean claims on causation. I place these claims alternatively in either the philosophical standpoint of the radical skeptic or in the standpoint of everyday and scientific beliefs. I characterize Hume’s radical skeptical standpoint in relation to Hume’s perceptual model of the traditional theory of ideas, and I argue that Hume‘s (...) radical skeptical argument concerning our causal inferences is inextricably linked to his skeptical argument concerning our idea of a necessary connection between cause and effect. I discuss Hume’s naturalistic account of the origin of our idea of necessity and offer a new reading of Hume’s two “definitions” of cause. I argue along the way against central aspects of two opposing styles of interpretation---Norman Kemp Smith’s and Annette Baier’s, on the one hand, and Robert Fogelin’s, on the other---that in my view do not appreciate the mutual autonomy of radical skepticism and naturalism in Hume. (shrink)

Hume’s discussion of space, time, and mathematics at T 1.2 appeared to many earlier commentators as one of the weakest parts of his philosophy. From the point of view of pure mathematics, for example, Hume’s assumptions about the infinite may appear as crude misunderstandings of the continuum and infinite divisibility. I shall argue, on the contrary, that Hume’s views on this topic are deeply connected with his radically empiricist reliance on phenomenologically given sensory images. He insightfully shows that, working within (...) this epistemological model, we cannot attain complete certainty about the continuum but only at most about discrete quantity. Geometry, in contrast to arithmetic, cannot be a fully exact science. A number of more recent commentators have offered sympathetic interpretations of Hume’s discussion aiming to correct the older tendency to dismiss this part of the Treatise as weak and confused. Most of these commentators interpret Hume as anticipating the contemporary idea of a finite or discrete geometry. They view Hume’s conception that space is composed of simple indivisible minima as a forerunner of the conception that space is a discretely (rather than continuously) ordered set. This approach, in my view, is helpful as far as it goes, but there are several important features of Hume’s discussion that are not sufficiently appreciated. I go beyond these recent commentators by emphasizing three of Hume’s most original contributions. First, Hume’s epistemological model invokes the “confounding” of indivisible minima to explain the appearance of spatial continuity. Second, Hume’s sharp contrast between the perfect exactitude of arithmetic and the irremediable inexactitude of geometry reverses the more familiar conception of the early modern tradition in pure mathematics, according to which geometry (the science of continuous quantity) has its own standard of equality that is independent from and more exact than any corresponding standard supplied by algebra and arithmetic (the sciences of discrete quantity). Third, Hume has a developed explanation of how geometry (traditional Euclidean geometry) is nonetheless possible as an axiomatic demonstrative science possessing considerably more exactitude and certainty that the “loose judgements” of the vulgar. (shrink)

I wish to discuss in this paper some of the problems involved in determining whether subjects on particular occasions are justified in coming to believe a proposition. I will argue that in attributing actual justification to a particular subject–subjective justification–we have to take into account factual-psychological questions and that these are the source of fundamental difficulties. These factual-psychological questions concern the beliefs someone uses in the process of acquiring another belief and the actual connections she makes among her beliefs.But why (...) should epistemologists be interested in making attributions of actual justification to particular subjects? After all, if the central goal of epistemology is to guide us in choosing rational strategies for supporting our beliefs, or to assess whether theories are well grounded or acceptable, epistemologists should be concerned with the justification a theory or proposition might have independently of anyone actually coming to believe it. This may be so, but it has to be shown that it is so. Moreover, the consideration of the factual-psychological questions involved in attributions of subjective justification seems to be necessary in some recent hybrid forms of naturalized epistemology. I call them ‘hybrid’ because, unlike Quine’s naturalized epistemology, they include in the epistemological task more than naturalistic explanations of how we acquire our language and beliefs. Besides taking into consideration the actual processes of our coming to believe or accept sentences, they also make use of epistemic notions like justification, warrant, relevant or right connection among beliefs, and so forth. (shrink)

Hume follows Newton in replacing the mechanical philosophy’s demonstrative ideal of science by the Principia’s ideal of inductive proof ; in this respect, Hume differs sharply from Locke. Hume is also guided by Newton’s own criticisms of the mechanical philosophers’ hypotheses. The first stage of Hume’s skeptical argument concerning causation targets central tenets of the mechanical philosophers’ conception of causation, all of which rely on the a priori postulation of a hidden configuration of primary qualities. The skeptical argument concerning the (...) causal inductive inference then raises doubts about what Hume himself regards as our very best inductive method. Hume’s own “Rules” further substantiate his reliance on Newton. Finally, Locke’s distinction between “Knowledge” and “Probability” does not leave room for Hume’s Newtonian notion of inductive proof. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 39.3 (2001) 351-383 [Access article in PDF] Hume's Pyrrhonian Skepticism and the Belief in Causal Laws Graciela De Pierris Hume endorses in no uncertain terms the normative use of causal reasoning. The most striking example of this commitment is Hume's argument in the Enquiry against the possibility of miracles. The argument sanctions, in particular, the use of scientific reflection on uniform (...) experience issuing in causal laws of nature (E 114): "A miracle is a violation of the laws of nature; and as a firm and unalterable experience has established these laws, the proof against a miracle, from the very nature of the fact, is as entire as any argument from experience can possibly be imagined." 1 These words should give us pause; for how can Hume so confidently say, after his skeptical conclusions concerning our causal beliefs, that "a firm and unalterable experience has established" the laws of nature, and that we can therefore produce "proofs" against miracles? The Treatise gives rise to the same puzzle. In this text, too, Hume confidently prescribes methodical reflection based on causal reasoning. For example, in Book One, Part Three, Section Fifteen, Hume offers eight "Rules by which to judge of causes and effects." These rules are more than descriptions of our natural causal inferences. They are meant to guide us in making better causal inferences; in Hume's words they "ought to regulate" our probable reasoning since (T 149): "by them we learn to distinguish the accidental circumstances from the efficacious causes." 2Moreover, Hume consistently takes Newtonian science as a model for the proper employment of causal inferences in inquiries into matters of fact and, [End Page 351] in particular, as a model to be followed in his own science of human nature. 3 This paradigm of what the science of nature ought to be is understood by Hume as an inductive, experimental inquiry. 4 In the Enquiry, for example, Hume uses the label "sciences" for "politics, natural philosophy, physic, chemistry, &c." and in the preceding discussion argues that these sciences are not a priori but are based on causal reasoning (E 164-165). Thus, there are for Hume inquiries into matters of fact and existence that amount to more than blindly following natural propensities and habit. The sciences and many of our causal inferences in common life involve more than mere belief as a sentiment. They involve, in addition, careful reflection that results in improved causal inferences and thus provides normative standards. Yet, in thus upholding the normative use of causal reasoning in science and in everyday life, Hume appears to contradict his own radical skeptical conclusions concerning our knowledge of causation and induction. I here propose a novel way to resolve this puzzle.To acknowledge the existence of a puzzle, however, amounts to accepting the now controversial view that Hume provides, and takes at face value, a radical skeptical argument concerning our knowledge of causation and induction. 5 Moreover, the attempt to resolve this puzzle involves rejecting the suggestion [End Page 352] that Hume, without awareness or concern, happily holds flatly inconsistent views. 6 It also goes against the more sophisticated suggestion that Hume lightly alternates among different psychological moods, or perhaps different perspectives, which might eventually issue in results that contradict each other but are sufficiently localized so as to prevent serious conflict. Such a view might lead us to conceive Hume's texts as an unstructured and arbitrary patchwork of reflections, driven by different psychological moods or by the embellishments of a radiant literary style. This kind of reading is unacceptable as an interpretative tool, however, as H. J. Paton has acutely noted in his criticism of the patchwork interpretation of Kant's Critique of Pure Reason. 7 For such a reading would place no constraints at all on the task of establishing which parts of Hume's text belong to which moods or perspectives. The suggestion that Hume offers an unstructured patchwork of reflections masks the novel and systematic distinction Hume draws between his radical philosophical... (shrink)

By giving the proper emphasis to both radical skepticism and naturalism as two independent standpoints in Hume, I wish to propose a more satisfactory account of some of the more puzzling Humean claims on causation. I place these claims alternatively in either the philosophical standpoint of the radical skeptic or in the standpoint of everyday and scientific beliefs. I characterize Hume’s radical skeptical standpoint in relation to Hume’s perceptual model of the traditional theory of ideas, and I argue that Hume‘s (...) radical skeptical argument concerning our causal inferences is inextricably linked to his skeptical argument concerning our idea of a necessary connection between cause and effect. I discuss Hume’s naturalistic account of the origin of our idea of necessity and offer a new reading of Hume’s two “definitions” of cause. I argue along the way against central aspects of two opposing styles of interpretation---Norman Kemp Smith’s and Annette Baier’s, on the one hand, and Robert Fogelin’s, on the other---that in my view do not appreciate the mutual autonomy of radical skepticism and naturalism in Hume. (shrink)

The modem rationalist tradition initiated by Descartes has as one of its central tenets the independence of the human understanding from the senses. Regardless of the different ways in which independence from experience is understood, there is much common ground among the modem views on the a priori. Yet Kant, culminating this tradition, introduces an entirely new conception of the a priori never before articulated in the history of philosophy. This is the notion of elements in knowledge which are independent (...) of experience but nevertheless closely connected, in a special way, with experience.Although for Kant the a priori has a privileged position in the structure of knowledge - as it has for other modem rationalist philosophers - one of the most striking, and often neglected, aspect of his conception of the a priori is the great extent to which it is opposed to foundationalism. (shrink)

"Epistemology Naturalized" has been extremely influential among contemporary analytical epistemologists. Current discussions about Quine's thesis do not pay attention to a basic point: his main argument is a historical one. Quine tries to show that a naturalized epistemology is the best way out vis-a-vis the failures of traditional epistemology. In this paper, I argue that Quine's argument is based on a fictions historical account. lf that is the case, his reasons for a naturalizcd epistemology are non-sutficient.

Traditionally the modern theory of ideas has been discussed primarily in reference to its alleged introduction of a veil of mental items between the mind and the world, which leads, through the empiricists, to radical skepticism about the existence of an external world. Here I propose to emphasize an entirely different aspect of the Cartesian theory of ideas which, in my view, is more fundamental in opening the empiricist path that leads to Hume’s radical skepticism. I argue that what I (...) call the “phenomenological presentation” model of ultimate justification is rooted in a fundamental ambiguity between sensible and intellectual apprehension insinuated by Descartes’s view of “clear and distinct” ideas together with his emphasis on the priority of intuition over logical inference. Sensible apprehension relies on immediate acquaintance with items pheno-menologically and ostensively present before the mind as given particulars. The phenomenological presentation model takes its clues from sensible apprehension, although the items present before the mind might themselves be either ideas of the understanding, images of the imagination, sensory impressions, or material external objects. Intellectual apprehension, by contrast, as I illustrate with Leibniz’s model of our knowledge of concepts and truths of reason, consists in the discursive, non-ostensive grasping of the generality of abstract concepts and of formal structures . For Leibniz, all intellectual apprehension is unambiguously “logical discursive apprehension” as opposed to “direct ostensive apprehension.” Thus, Leibniz unmistakably disambiguates Descartes’s model in favor of a precise intellectual model. The empiricists, by contrast, correspondingly disambiguate Descartes’s conception in favor of an entirely sensible model.Tradicionalmente, a teoria moderna das idéias foi discutida principalmente em conexão com a sua suposta introdução de um véu de itens mentais entre a mente e o mundo que leva, por meio dos empiristas, ao ceticismo radical sobre a existência de um mundo externo. Aqui eu proponho enfatizar um aspecto completamente diferente da teoria Cartesiana das idéias que, na minha visão, é mais fundamental no que diz respeito a abrir o caminho empirista que conduz ao ceticismo radical de Hume. Eu argumento que o que eu chamo de o modelo de “apresentação fenomenológica” de justificação última está baseado em uma ambigüidade fundamental entre apreensão sensível e intelectual insinuada pela visão de Descartes de idéias “claras e distintas” junto com a sua ênfase na prioridade da intuição sobre inferência lógica. A apreensão sensível confia no contato imediato com itens presentes fenomenologicamente e ostensivamente perante a mente como particulares dados. O modelo de apresentação fenomenológica está inspirado na apreensão sensível, embora os itens que se apresentam perante a mente poderiam ser eles mesmos idéias do entendimento, figuras da imaginação, impressões sensórias, ou objetos externos materiais. A apreensão intelectual, por contraste, como eu ilustro com o modelo de Leibniz de nosso conhecimento de conceitos e verdades da razão, consiste na compreensão discursiva e não-ostensiva da generalidade de conceitos abstratos e de estruturas formais . Para Leibniz, toda a apreensão intelectual é claramente “apreensão discursiva lógica” por oposição a “apreensão ostensiva direta”. Assim, Leibniz claramente desfaz a ambigüidade do modelo de Descartes em favor de um modelo intelectual preciso. Os empiristas, por contraste, desfazem a ambigüidade da concepção de Descartes em favor de um modelo completamente sensível. (shrink)

Commentaries on Hume's Treatise 1.4.1, "Of scepticism with regard to reason," have focused on the argument that an initial lack of certainty concerning the conclusion of an inference gradually diminishes to zero. In my view, Hume offers this famous argument only after, and as corollary to, a far more interesting skeptical argument concerning demonstrative reasoning, which occurs at the very beginning of Treatise 1.4.1. I focus on this neglected argument, point to its Cartesian roots, and draw a distinction between ordinary (...) doubts and a radical skeptical doubt about the inevitable interference of fallible faculties in our demonstrative inferences. Hume suggests that, in common life and science, solutions to ordinary doubts concerning human fallibility themselves rely on causal reasoning-that we have applied inferential rules correctly in any given instance is a "matters of fact" conclusion, thus it is supported by the only kind of evidence that such a conclusion can have. Hume's argument brilliantly reverses the force of the increased confidence normally acquired on the basis of such causal reasoning. Once we have realized, in the radically skeptical frame of mind, that in our attempts to improve and evaluate demonstrative reasoning we use merely causal reasoning, there is no longer the hope of a progressive adjustment of the exercise of our faculties to an assumed objective validity of our demonstrative rules. The increase in assurance by causal methods only amounts to "the addition of new probabilities," and there is no gradual transition from probability to demonstratively certain knowledge. Hume thereby reaches a radical skeptical doubt regarding the possibility of our ever attaining genuinely certain demonstrative knowledge - and, unlike Descartes, he reaches this doubt without the external device of an all-powerful deceiver. Los comentarios sobre la sección "Of scepticism with regard to reason" en A Treatise on Human Nature de David Hume se han concentrado en el argumento según el cual, la falta inicial de convicción certera acerca de la conclusión de una inferencia cualquiera disminuye gradualmente a cero. Sostengo que Hume ofrece este famoso argumento solamente después y como corolario de un argumento escéptico mucho más interesante acerca del razonamiento deductivo, el cual aparece al principio de esta sección. Me concentro en este primer argumento, señalo sus raíces cartesianas, y establezco una distinción entre dudas comunes y una duda escéptica radical acerca de la interferencia inevitable, en nuestros razonamientos deductivos, de facultades mentales falibles. Hume sugiere que, en la vida cotidiana y en la ciencia, las soluciones a las dudas acerca de la falibilidad humana, en sí mismas se apoyan en razonamientos de carácter causal: si hemos aplicado correctamente una regla inferencial o no, en una instancia específica, es en sí misma una conclusión acerca de lo que Hume llama "matters of fact". Por lo tanto, está basada en el único tipo de evidencia que tal conclusión puede poseer. El argumento brillante de Hume invierte negativamente la confianza creciente que normalmente adquirimos sobre la base de tal razonamiento causal. Una vez que tomamos en cuenta, desde el punto de vista escéptico radical, que en nuestros intentos de mejorar y evaluar razonamientos deductivos usamos meramente razonamientos causales, se cierra la posibilidad de ajustar progresivamente el ejercicio de nuestras facultades mentales a una supuesta validez objetiva de las reglas de deducción. El aumento de la confianza en nuestras inferencias está basado en métodos causales, por lo tanto resulta en "la adición de nuevas probabilidades", y no existe una transición gradual desde la probabilidad más alta hasta el conocimiento certero demostrativo. De esta manera, Hume llega a una duda escéptica radical acerca de la posibilidad de lograr conocimiento demostrativo genuinamente certero. A diferencia de Descartes, Hume obtiene esta duda radical sin apelar a un elemento externo a nuestras facultades mentales, tal como el todopoderoso que engaña en la Primera Meditación de Descartes. (shrink)

Traditionally the modern theory of ideas has been discussed primarily in reference to its alleged introduction of a veil of mental items between the mind and the world, which leads, through the empiricists, to radical skepticism about the existence of an external world. Here I propose to emphasize an entirely different aspect of the Cartesian theory of ideas which, in my view, is more fundamental in opening the empiricist path that leads to Hume’s radical skepticism. I argue that what I (...) call the “phenomenological presentation” model of ultimate justification is rooted in a fundamental ambiguity between sensible and intellectual apprehension insinuated by Descartes’s view of “clear and distinct” ideas together with his emphasis on the priority of intuition over logical inference. Sensible apprehension relies on immediate acquaintance with items phenomenologically and ostensively present before the mind as given particulars. The phenomenological presentation model takes its clues from sensible apprehension, although the items present before the mind might themselves be either ideas of the understanding, images of the imagination, sensory impressions, or material external objects. Intellectual apprehension, by contrast, as I illustrate with Leibniz’s model of our knowledge of concepts and truths of reason, consists in the discursive, non-ostensive grasping of the generality of abstract concepts and of formal structures . For Leibniz, all intellectual apprehension is unambiguously “logical discursive apprehension” as opposed to “direct ostensive apprehension.” Thus, Leibniz unmistakably disambiguates Descartes’s model in favor of a precise intellectual model. The empiricists, by contrast, correspondingly disambiguate Descartes’s conception in favor of an entirely sensible model. (shrink)

In the First Chapter, I give an interpretation of Kant's characterization of a priori knowledge which sharply distinguishes Kant's from an innatist conception; in this way, I distinguish Kant's transcendental explanation of a prioricity from both innatist and naturalistic explanations. ;The arguments given by Kant to support his claim that we are in fact in possession of a priori knowledge rely on his criterion of a prioricity: if a truth is necessary then it must be justified a priori. I criticize (...) the criterion's failure to account for actual cases of being justified in believing necessary truths. Finally, I discuss whether Kant has arguments to show that there is a priori knowledge which are independent of the criterion. ;In the Second Chapter, I examine the similarities and differences between Kant's and Frege's conceptions of a priori knowledge. I argue that Frege, like Kant, concentrates exclusively on the ways we must justify our beliefs in certain truths . I show, however, that Frege does not have straightforward arguments to prove that we can and do know a priori any arithmetical or logical truths, and that he does not have any straightforward explanation of the a prioricity of the laws of logic. Finally, I argue that even though a priori items of knowledge play a privileged role in Frege's project, this role differs from the one that such items have in a Kantian-transcendental project. ;In the Third Chapter, I explore whether we can make sense of the notion of a prioricity and prove that there is a priori knowledge by adopting an approach to justification which differs from both Kant's and Frege's. This approach does not concentrate on the ways we must be justified, but on the actual ways we justify our beliefs. I argue that this approach faces enormous difficulties regarding a prioricity. The central difficulty is that the actual complete justification for a belief cannot be captured exclusively in propositional terms. If a belief is based on inference, practical abilities, tendencies or dispositions enter in its justification. . . . UMI. (shrink)

I wish to discuss in this paper some of the problems involved in determining whether subjects on particular occasions are justified in coming to believe a proposition. I will argue that in attributing actual justification to a particular subject–subjective justification–we have to take into account factual-psychological questions and that these are the source of fundamental difficulties. These factual-psychological questions concern the beliefs someone uses in the process of acquiring another belief and the actual connections she makes among her beliefs.But why (...) should epistemologists be interested in making attributions of actual justification to particular subjects? After all, if the central goal of epistemology is to guide us in choosing rational strategies for supporting our beliefs, or to assess whether theories are well grounded or acceptable, epistemologists should be concerned with the justification a theory or proposition might have independently of anyone actually coming to believe it. This may be so, but it has to be shown that it is so. Moreover, the consideration of the factual-psychological questions involved in attributions of subjective justification seems to be necessary in some recent hybrid forms of naturalized epistemology. I call them ‘hybrid’ because, unlike Quine’s naturalized epistemology, they include in the epistemological task more than naturalistic explanations of how we acquire our language and beliefs. Besides taking into consideration the actual processes of our coming to believe or accept sentences, they also make use of epistemic notions like justification, warrant, relevant or right connection among beliefs, and so forth. (shrink)

I wish to discuss in this paper some of the problems involved in determining whether subjects on particular occasions are justified in coming to believe a proposition. I will argue that in attributing actual justification to a particular subject–subjective justification–we have to take into account factual-psychological questions and that these are the source of fundamental difficulties. These factual-psychological questions concern the beliefs someone uses in the process of acquiring another belief and the actual connections she makes among her beliefs.But why (...) should epistemologists be interested in making attributions of actual justification to particular subjects? After all, if the central goal of epistemology is to guide us in choosing rational strategies for supporting our beliefs, or to assess whether theories are well grounded or acceptable, epistemologists should be concerned with the justification a theory or proposition might have independently of anyone actually coming to believe it. This may be so, but it has to be shown that it is so. Moreover, the consideration of the factual-psychological questions involved in attributions of subjective justification seems to be necessary in some recent hybrid forms of naturalized epistemology. I call them ‘hybrid’ because, unlike Quine’s naturalized epistemology, they include in the epistemological task more than naturalistic explanations of how we acquire our language and beliefs. Besides taking into consideration the actual processes of our coming to believe or accept sentences, they also make use of epistemic notions like justification, warrant, relevant or right connection among beliefs, and so forth. (shrink)

We argue that the notion of individual is controversial not only for indistinguishable particles but also in the case of quantum distinguishable systems. We also argue that not only a picture in which “actual individuals” are taken into account is in contradiction with the quantum formalism, but also the case of “possible individuals” turns inconsistent within the quantum realm.

In the framework of the topos approach to quantum mechanics we give a representation of physical properties in terms of modal operators on Heyting algebras. It allows us to introduce a classical type study of the mentioned properties.

De Pierris offers a reading that unites radical skepticism and normative naturalism as “two equally important and mutually complementary aspects of Hume’s philosophical position”. The “modern theory of ideas” shapes skepticism, and Newtonian methodology is the basis for naturalism. The “modern theory of ideas” holds that evidence for optimal human cognition is grounded in the “immediate acquaintance with ostensive presentations that are or have been given to the mind”. This is the “presentational-phenomenological model of apprehension”. Descartes introduces to the (...) model pure intellectual items, that is, clear and distinct ideas, which have “‘immutable and eternal’ essences or forms” as referents... (shrink)

This book brings together papers of the conference on 'Space, Geometry and the Imagination from Antiquity to the Modern Age' held in Berlin, Germany, 27-29 August 2012. Focusing on the interconnections between the history of geometry and the philosophy of space in the pre-Modern and Early Modern Age, the essays in this volume are particularly directed toward elucidating the complex epistemological revolution that transformed the classical geometry of figures into the modern geometry of space. Contributors: Graciela De Pierris (...) Franco Farinelli Michael Friedman Daniel Garber Jeremy Gray Gary Hatfield Andrew Janiak Douglas Jesseph Alexander Jones Henry Mendell David Rabouin. (shrink)