The aim of this paper is to present the copy principle from execution of the principle of separability for the purpose of elucidating the discussions conducted by Hume in understanding the composition of space and its implications for the sciences that operate with spatial constructions. The particular epistemic gain here is to do this within a model of empiricism. Given that there are several irregularities in the manner of analyzing a complex and extracting simple elements from it, as will be (...) demonstrated here, we seek to show that separating a complex considering its simple qualities and decomposing a complex to determine its simple quantities is completely different. Thus, we seek to show how Hume needed to recreate his own cognitive model, strongly based on noting our perceptions, to be able to use it to conceive the composition of space and the operations of geometry that must make reference to it. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Bishop Berkeley Exorcises the Infinite: Fuzzy Consequences of Strict Finitism1 David M. Levy Introduction It all began simply enough when Molyneux asked the wonderful question whether a person born blind, now able to see, would recognize by sight what he knew by touch (Davis 1960). After George Berkeley elaborated an answer, that we learn to perceive by heuristics, the foundations ofcontemporarymathematics wereinruin. Contemporary mathematicians waved their hands and (...) changed the subject.2 Berkeley's answer received a much more positive response from economists. Adam Smith,in particular, seizedupon Berkeley's doctrine that welearn to perceive distance tobuild anelaborate system in which one learns to perceive one's self-interest.3 Perhaps because older histories of mathematics are a positive hindrance in helping us understand the importance of Berkeley's argument against infinitesimals,4 its consequences for economics have passed unnoticed. If infinitesimal numbers are ruled out, and we wish to maintain an algebra, then we rule out infinite numbers. This implication of Berkeley's argumenthas a dramatic implication for our understanding ofthe history ofideas about rule-directed action. Let me motivate this claim with a well-known historical problem. The social doctrine set forth by John Locke outside the Two Treatises depends critically upon individual belief about possible states of infinite pain or pleasure. The critical issue for the intolerance of atheism in Locke's system is his claim that without beUefin the infinite bliss of heaven forgone by a criminal, there is no reason to think a calculating individual will avoid crime.5 Locke's discussion is so different from the discussion of religion by David Hume and Smith. Here, questions of the substance of belief—the infinite worth of Heaven—have largely vanished.6 What happened between Locke and Hume-Smith? One answer is Pierre Bayle and Bernard Mandeville. Berkeley's doctrine that only the finite is perceived is, I think, a better answer. Out of sight, out ofmind. In this paper I propose to give a close look at the content and consequences ofBishop Berkeley's once famous Towards a New Theory ofVision. While there are other aspects ofBerkeley's work that attract Volume XVIII Number 2 511 DAVID M. LEVY attention from historians ofeconomics,7 1 shall claim that Berkeley's insight into human perception in the Theory of Vision is central to Adam Smith's attempt to found economic behaviour on the self-awareness of systematic illusion. There is no doubt that Smith finds that much ofhuman behaviour is characterized by illusion.8 The difficulty arises, or so it seems to me, from modern unwilUngness to beheve that illusion can be systematic. There are four pieces to my argument. First, we consider Berkeley's statementofwhat we shall call his doctrine ofstrict finitism in perception.9 Berkeley puts forward two postulates: 1) there exists some minimum perceptible quantity, and 2) distance is not perceived directly but by experience. Second, we define strict finitism and demonstrate that it translates into the claim that perception is fuzzy in a technical sense. If Berkeleian perception is fuzzy, then some modern criticism of Berkeley's strict finitism is based upon a simple misunderstandingofthe propertiesoffuzzyrelations. Thisis quite easy to set right. (Getting right the doctrine of those who implicitly take perception to be fuzzy—Adam Smith is my prime candidate—will be muchharder.)Third, wereconsiderBerkeley's dispute withMandeville on the role ofinfinite gain in choice. Here, we find Mandeville putting forward the Berkeleian position that if infinite amounts mattered, people would not behave as they do. Berkeley's position against Mandeville, however, seems to depend upon the supposition that infinite distance is sensible.10 Earlier, however, the position that Mandeville argued for was defended by Berkeley. Fourth, we ask why all this isn't well known. The debate between Berkeley and Mandeville has been well studied, as has been the link between Berkeley and the Scots. In fact, our work focuses on one aspect of Berkeley's work that led to his challenge of the contemporary foundations of the calculus. If sense is a matter of perception, and infinitesimals cannot be perceived, then they are quite literally nonsense. Armed with this insight, Berkeley refuted contemporary mathematics. Nevertheless, the calculus was too... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Bishop Berkeley Exorcises the Infinite: Fuzzy Consequences of Strict Finitism1 David M. Levy Introduction It all began simply enough when Molyneux asked the wonderful question whether a person born blind, now able to see, would recognize by sight what he knew by touch (Davis 1960). After George Berkeley elaborated an answer, that we learn to perceive by heuristics, the foundations ofcontemporarymathematics wereinruin. Contemporary mathematicians waved their hands and (...) changed the subject.2 Berkeley's answer received a much more positive response from economists. Adam Smith,in particular, seizedupon Berkeley's doctrine that welearn to perceive distance tobuild anelaborate system in which one learns to perceive one's self-interest.3 Perhaps because older histories of mathematics are a positive hindrance in helping us understand the importance of Berkeley's argument against infinitesimals,4 its consequences for economics have passed unnoticed. If infinitesimal numbers are ruled out, and we wish to maintain an algebra, then we rule out infinite numbers. This implication of Berkeley's argumenthas a dramatic implication for our understanding ofthe history ofideas about rule-directed action. Let me motivate this claim with a well-known historical problem. The social doctrine set forth by John Locke outside the Two Treatises depends critically upon individual belief about possible states of infinite pain or pleasure. The critical issue for the intolerance of atheism in Locke's system is his claim that without beUefin the infinite bliss of heaven forgone by a criminal, there is no reason to think a calculating individual will avoid crime.5 Locke's discussion is so different from the discussion of religion by David Hume and Smith. Here, questions of the substance of belief—the infinite worth of Heaven—have largely vanished.6 What happened between Locke and Hume-Smith? One answer is Pierre Bayle and Bernard Mandeville. Berkeley's doctrine that only the finite is perceived is, I think, a better answer. Out of sight, out ofmind. In this paper I propose to give a close look at the content and consequences ofBishop Berkeley's once famous Towards a New Theory ofVision. While there are other aspects ofBerkeley's work that attract Volume XVIII Number 2 511 DAVID M. LEVY attention from historians ofeconomics,7 1 shall claim that Berkeley's insight into human perception in the Theory of Vision is central to Adam Smith's attempt to found economic behaviour on the self-awareness of systematic illusion. There is no doubt that Smith finds that much ofhuman behaviour is characterized by illusion.8 The difficulty arises, or so it seems to me, from modern unwilUngness to beheve that illusion can be systematic. There are four pieces to my argument. First, we consider Berkeley's statementofwhat we shall call his doctrine ofstrict finitism in perception.9 Berkeley puts forward two postulates: 1) there exists some minimum perceptible quantity, and 2) distance is not perceived directly but by experience. Second, we define strict finitism and demonstrate that it translates into the claim that perception is fuzzy in a technical sense. If Berkeleian perception is fuzzy, then some modern criticism of Berkeley's strict finitism is based upon a simple misunderstandingofthe propertiesoffuzzyrelations. Thisis quite easy to set right. (Getting right the doctrine of those who implicitly take perception to be fuzzy—Adam Smith is my prime candidate—will be muchharder.)Third, wereconsiderBerkeley's dispute withMandeville on the role ofinfinite gain in choice. Here, we find Mandeville putting forward the Berkeleian position that if infinite amounts mattered, people would not behave as they do. Berkeley's position against Mandeville, however, seems to depend upon the supposition that infinite distance is sensible.10 Earlier, however, the position that Mandeville argued for was defended by Berkeley. Fourth, we ask why all this isn't well known. The debate between Berkeley and Mandeville has been well studied, as has been the link between Berkeley and the Scots. In fact, our work focuses on one aspect of Berkeley's work that led to his challenge of the contemporary foundations of the calculus. If sense is a matter of perception, and infinitesimals cannot be perceived, then they are quite literally nonsense. Armed with this insight, Berkeley refuted contemporary mathematics. Nevertheless, the calculus was too... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hume on Space (and Time) BEN MIJUSKOVIC HUME'S LABYRINTHINE ANALYSES of our ideas of space and time, textually occuring so early in the Treatise, 1clearly testify to his conviction of their central role in the physical sciences, then making such fantastic progress. Furthermore, quite early in the Treatise, Hume indicates his ambition to effect a revolution in the mental sciences comparable to the one Newton had achieved in the (...) physical disciplines, through the latter's conception of the force and effects of gravity. Accordingly, Hume regards the three principles or laws of the association of ideas as a "kind of ATTRACTION, which in the mental world will be found to have as extraordinary effects as in the natural" (T, 12-13). In pursuit of his investigations Hume commences, in the first part of the Treatise, by insisting on the principle that all our simple ideas are derived from simple impressions and that impressions always precede their correspondent ideas (T, 4, 7). This being firmly established, Hume nevertheless immediately proceeds in the very next part of the work to declare, paradoxically enough, that our ideas of space and time are complex ideas that lie beyond the nature of each and all of our simple impressions. Differently put, Hume is insisting that our ideas of space and time, unlike our idea of, say, a shade of blue, are not derived unproblematically from a precedent, simple mental impression (or physiological sensation, ~ la Locke). Thus, according to Hume, our idea of space is not sensationally given; it is not traceable to an antecedent extended impression as our idea of blue is derived from a precedent impression of blue. Hume's insistence that our conception of space is nonsensational has perplexed competent commentators on Hume. Consequently, even so able an interpreteter as Kemp Smith has been puzzled "why it was that [Hume] did not take the more easy line of allowing 'extensity' to the sensations of sight and touch. ''2 Or again, "How is it that [Hume] has not taken what would seem to be for him the easier and more obvious course, at least as regards space--the course usually taken by those who hold a sensationalist theory of knowledge--that extensity is a feature of certain of our sensations (those given through the senses of touch and sight), and in consequence sensibly imaged?" (PDH, 280). Of this simpler solution both Hobbes (Leviathan, Pt. I, 1; De Corpore, Pt. II, 7, 8) and Locke (Essay, II, 8) had availed themselves prior to Hume. Hence, Kemp Smith has found the section to be tough going indeed and has contented himself, to a great extent, in simply offering a number of historical appendices, suggesting lines of influence on Hume, through passages discovered in the works of Pierre Bayle, Nicholas de Malezieu, and Isaac Barrow. Now, without denying that Hume studied and was influenced in part by the ' A Treatise of Hurnan Nature, ed. L. A. Selby-Bigge (Oxford, 1888); hereafter cited as T. 2 The Philosophy of David Hume (New York, 1964), p. 277; hereafter cited as PDH. [3871 388 HISTORY OF PHILOSOPHY thinking of these authors (as well as by Francis Hutcheson), I wish to take up and develop in this paper a "historical" suggestion first offered by a student of Kemp Smith's, Charles Hendel; and I shall extend Hendel's point and try to argue a "theoretic" one, namely, that Hume's phenomenalism in the section devoted to space and time is derived from, and closely akin to, a form of Leibnizian idealism. In 1925, Hendel argued that Hume was directly influenced by the Leibniz-Clarke debate over the ontological and epistemological status of space and time; and he held that for Hume space and time, as appearances, were ultimately grounded in the associative power of the imagination.' Thirty years later, in a second edition, Hendel disavowed his earlier claim concerning the imagination and avoided discussion of his prior view that Hume was influenced by the Leibniz-Clarke correspondence (1963 edition, pp. 501, 503). In Hume's Philosophy of Human Nature, which first appeared in 1932 (reissued by Archon, 1967; see pp. 64-65, 67, 73, 77), John Laird also intimated that... (shrink)

Richard Popkin’s meticulous translation--the most complete since the eighteenth century--contains selections from thirty-nine articles, as well as from Bayle’s four Clarifications. The bulk of the major articles of philosophical and theological interest--those that influenced Leibniz, Berkeley, Hume, and Voltaire and formed the basis for so many eighteenth-century discussions--are present, including David, Manicheans, Paulicians, Pyrrho, Rorarius, Simonides, Spinoza, and Zeno of Elea.

David Hume's Dialogues concerning Natural Religion, first published in 1779, is one of the most influential works in the philosophy of religion and the most artful instance of philosophical dialogue since the dialogues of Plato. It presents a fictional conversation between a sceptic, an orthodox Christian, and a Newtonian theist concerning evidence for the existence of an intelligent cause of nature based on observable features of the world. This new edition presents it together with several of Hume's other, shorter (...) writings about religion, and with brief selections from the work of Pierre Bayle, who influenced both Hume's views on religion and the dialectical style of the Dialogues. The volume is completed by an introduction which sets the Dialogues in its philosophical and historical contexts. (shrink)

The Emergic Cognitive Model (ECM) is a unified computational model of visual filling-in based on the Emergic Network architecture. The Emergic Network was designed to help realize systems undergoing continuous change. In this thesis, eight different filling-in phenomena are demonstrated under a regime of continuous eye movement (and under static eye conditions as well). -/- ECM indirectly demonstrates the power of unification inherent with Emergic Networks when cognition is decomposed according to finer-grained functions supporting change. These can interact to raise (...) additional emergent behaviours via cognitive re-use, hence the Emergic prefix throughout. Nevertheless, the model is robust and parameter free. Differential re-use occurs in the nature of model interaction with a particular testing paradigm. -/- ECM has a novel decomposition due to the requirements of handling motion and of supporting unified modelling via finer functional grains. The breadth of phenomenal behaviour covered is largely to lend credence to our novel decomposition. -/- The Emergic Network architecture is a hybrid between classical connectionism and classical computationalism that facilitates the construction of unified cognitive models. It helps cutting up of functionalism into finer-grains distributed over space (by harnessing massive recurrence) and over time (by harnessing continuous change), yet simplifies by using standard computer code to focus on the interaction of information flows. Thus while the structure of the network looks neurocentric, the dynamics are best understood in flowcentric terms. Surprisingly, dynamic system analysis (as usually understood) is not involved. An Emergic Network is engineered much like straightforward software or hardware systems that deal with continuously varying inputs. Ultimately, this thesis addresses the problem of reduction and induction over complex systems, and the Emergic Network architecture is merely a tool to assist in this epistemic endeavour. -/- ECM is strictly a sensory model and apart from perception, yet it is informed by phenomenology. It addresses the attribution problem of how much of a phenomenon is best explained at a sensory level of analysis, rather than at a perceptual one. As the causal information flows are stable under eye movement, we hypothesize that they are the locus of consciousness, howsoever it is ultimately realized. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:424 CAN HUME'S USE OF A SIMPLE/COMPLEX DISTINCTION BE MADE CONSISTENT? There is little doubt that Hume equivocates on the distinction between simple and complex impressions and ideas. Sometimes he identifies properties such as colors and shapes as simples. This is what he does, in fact, when he first introduces the distinction: Simple perceptions or impressions and ideas are such as admit of no distinction nor separation. The complex (...) are the contrary to these, and may be distinguished into parts. Tho' a particular colour, taste, and smell are qualities all united together in this apple, 'tis easy to perceive they are not the same, but are at least distinguishable from each other. Later, however, Hume speaks of simples not as qualities (or, of course, as substances) but as objects, i.e., things with properties: it is not red and round that are the simples but the red, round spot. He says, for example: Before I leave this subject I shall employ the same principles to explain that distinction of reason, which is so much talk'd of, and is so little understood, in the schools. Of this kind is the distinction betwixt figure and the body figur'd; motion and the body mov'd. The difficulty of explaining this distinction arises from the principle above explain'd, that all ideas, which are different, are separable. For it follows from thence, that if the figure be different from the body, their ideas must be separable as well as distinguishable; if they be not different, their ideas can neither be separable nor distinguishable (T 2425 ). 425 A genuine inconsistency with regard to the simple/complex distinction would have far reaching implications for Hume's system. Even the question concerning his understanding of necessity may be affected. It has been argued, for example, that what Hume believes separates the philosophical relations that are necessary from those that are not is that the former are internal relations. The suggestion is that the doctrine of internal relations, which is inextricably tied to a specific characterization of a simple/complex distinction, provides the essential contrast Hume needs for his ultimate denial that the causal relation is necessary. The consequences are compounded if we also take Robinson to be right in his attempt to reconcile Hume's 'conflicting' statements about causation in terms of the distinction between the natural and philosophical relations. While it is pointless to deny the ambiguity just set out (and, of course, one must remain constantly watchful to determine how Hume is employing the simple/complex distinction in a particular case), I believe a reconciliation of the two positions is still possible and that there is no genuine contradiction in Hume's system over this issue. The principle shift occurs between the distinction presented in logical terms and its presentation in psychological terms. In the latter instance what Hume seems to be worried about is Platonism: a metaphysics that countenances the existence of unexemplif ied qualities. This is most evident in the passage above where Hume, in effect, makes the following argument: if it were the case that (1) what is distinguishable in thought is separable in reality; and (2) figure and body are 426 distinguishable in thought; then it would follow that (3) figure and body are separable in reality. However, (3), i.e., Platonism, is false. But then so must be (2). Hume never deviates from this conclusion and its implications for his model of thought throughout the Treatise. It is this argument, for example, which became the basis for Hume's accusation against Locke's theory of abstraction and the foundation of his own view. So far Hume has it that neither thought nor experience present us with colors and shapes in isolation. This is his psychological point. Yet that need not be seen as conclusive with regard to what is to count as a logical simple. Building on his notion of a distinction of reason, Hume says: Thus when a globe of white marble is presented, we receive only the impression of a white colour dispos 'd in a certain form, nor are we able to separate and distinguish the colour from the form. But observing afterwards... (shrink)

In a recent paper, Karl Schafer argues that Hume's theory of mental representation has two distinct components, unified by their shared feature of having accuracy conditions. As Schafer sees it, simple and complex ideas represent the intrinsic imagistic features of their objects whereas abstract ideas represent the relations or structures in which multiple objects stand. This distinction, however, is untenable for at least two related reasons. Firstly, complex ideas represent the relations or structures in which the impressions that are the (...) objects of their simple components stand. Secondly, abstract ideas are themselves instances of complex ideas. I draw two important conclusions from these facts. Firstly, contra Schafer and Garrett, the Copy Principle, properly emended, constitutes the entirety of Hume's theory of mental representation. Secondly, whereas paradigm examples of complex ideas, e.g. ideas of spatial and temporal complexes, are structured by relations of contiguity, abstract ideas are those complex ideas instead structured by relations of resemblance. As such, they represent their objects not as spatially or temporally contiguous but rather as resembling. (shrink)

according to hume’s theory of general representation, we represent generalities by associating certain ideas with certain words. On one prominent understanding of this theory, calling things by one name or another does not represent any real qualities of those things or any real relations between them. This interpretation runs into difficulty when we turn our attention to Hume’s own use of such general terms throughout the Treatise. It would seem that Hume’s own distinctions—such as the impression-idea distinction and simple-complex distinction—require (...) that the items so.. (shrink)

This is a book about evolution from a post-Darwinian perspective. It recounts the core ideas of French philosopher Henri Bergson and his rediscovery and legacy in the poststructuralist critical philosophies of the 1960s, and explores the confluences of these ideas with those of complexity theory in environmental biology. The failings in the development of systems theory, many of which complex systems theory overcomes, are retold; with Bergson, this book proposes, some of the rest may be overcome too. It asserts that (...) Bergson’s ideas can further our understanding of evolution, and of complex systems, and aid the work of scientists working in the field of ecological complexity. See http://www.creativeemergence.info/ for more detail and sample chapter. "The claim is that Bergson's notions of duration and élan vital resonate with and provide interesting metaphysical speculations complementing a process structuralist biology of the Goodwin and Kauffman stripe. This is certainly provocative and worth further thought. The key claim is that the openness and unpredictability of systems "at the edge of chaos" (where a system can be said to "choose" at bifurcation points in its state space) meets the Bergsonian desideratum of an open universe that takes irreversible time and evolutionary difference seriously. In particular, Kreps stresses the way Bergson's insistence on the differentiating force of élan vital (which Kreps successfully defends from the charge of a substantialist vitalism along the lines of Hans Dreisch) puts him in line with those who see natural selection as a secondary pruning of a primary differentiation." -John Protevi, Notre Dame Philosophical Reviews 2016.01.20 'This is no ordinary introduction to Henri Bergson. What David Kreps' excellent study gives us is Bergson, complexe: first, because there is no simple way to take (or leave) Bergson's ideas - his thought of durée, élan, and 'multiplicity' demands the most subtle and nuanced reading to give them their full justice; and second, because only by intertwining his ideas with the most up-to-date research in systems thinking, complexity theory, and poststructuralism can we begin to understand their absolute contemporaneity. Kreps' work does all this and more: it gives us the Bergson we need for today.' -John Mullarkey, author of Bergson and Philosophy 'Kreps' book is a thoroughly researched and well-written work that shows how Bergson's philosophy of evolution and time can also reinvigorate our ideas about complexity and organization in the natural and physical sciences.' -Stephen Crocker, author of Bergson and the Metaphysics of Media. (shrink)

In the course of his critique of the Buddhist doctrine of universal momentariness, Udayana argues for an isomorphism between our understandings of space and time, which is meant to undercut the Buddhists’ well-known “inference from existence.” The present paper examines these arguments from Udayana’s Ātmatattvaviveka, together with Ratnakīrti’s treatment of them in his Kṣaṇabhaṅgasiddhi Anvayātmikā. As an historical study, the paper aims to elucidate the connections between Udayana and Ratnakīrti, and the implications of those connections for the dependence of the (...) inference from existence upon various arguments which appear elsewhere in Ratnakīrti’s corpus. As a work of philosophical interpretation, the paper will clarify what is at stake in the local debate over the space–time isomorphism. Ratnakīrti’s position will best be understood as an account on which different simple causal properties are ascribed, or indexed, to an allegedly persisting entity at different times, while Udayana will prefer an account on which complex properties indexed to the place and/or time of the effect—for instance, “generating a sprout in this particular place” or “producing a visual awareness at a certain time”—will belong to a persisting thing throughout its entire existence. Furthermore, the acceptance or rejection of space and time as substantial entities in their own right, as distinct from the entities which are conventionally said to exist in space and time, will have important implications for the accounts of causality that each thinker can accept. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:53. AN INDEX OF HUME'S REFERENCES IN A TREATISE OF HUMAN NATURE The index below of Hume's references in the Treatise te the works of other authors excludes those which are accurate and full in his text (of which there are few) and those which are so general, e.g., to Spinoza's atheism, that no passage is specifiable. Hume mentions other writings, for which this index is compiled, in several (...) different ways. Occasionally he mentions the author's name, the title of his book and gives a reference which is less specific than it could be. These have been identified. Often he mentions an author's name only, e.g., de Retz, and in such cases the fullest possible reference has been given. One of Hume's notable intellectual gifts was his ability to distil several pages of a book into one or two sentences of crisp and accurate synthesis. (This skill is most apparent in his summaries of articles in Bayle' s Dictionary in his "Notes on Philosophy", of which the manuscript is in the Royal Society of Edinburgh Library.) In these instances, page references are impossible and the closest indication one can give is a section or chapter. Some of his references are anonymous, e.g., as an 'elegant writer' says, and so are some quotations. These have been identified with one exception. One anonymous reference (number 24 below) requires explanation because it is both anachronistic and interesting. Hume refers to an observation by "a late eminent philosopher". It is anachronistic because the book to which he refers was published after the Treatise; it is interesting because it provides further evidence of Hutcheson's influence on Hume and the latter' s regard for him. The explanation, for Hutcheson was still alive when Vol.11 of the Treatise appeared in 1739, is that 'late' is here being used in the sense of 'recent' - Hutcheson himself uses the word in the same way in referring to Mandeville when the latter was 54. alive. (An enquiry concerning moral good and evil. Section 1, VI.) Further, the System circulated widely among Hutcheson's friends in Scotland and over so many years that it finally appeared posthumously. That Hume could not cite a published work also accounts for the anonymity of the reference to someone he admired. It is often impossible to determine in which language or in which edition Hume read a particular author. Where there is evidence as to which language he used, the title has been given in that language. There are now so many extant editions of the Treatise that Volume, Part, Chapter and Section references are given, as well as the pagination of Selby-Bigge' s edition, so that readers of other editions may be able to use the index. 1.Vol. 1. Title-page. Tacitus, The Histories, Bk. I. 1. 2.Part 1, Sect. 1, p. 2, n. John Locke, An Essay concerning Human Understanding, Bk. I, Chap. I, 8. 3.Sect. VII, p. 17, n. George Berkeley, A Treatise concerning the Principles of Human Knowledge, Introductixi, Sect. 7, e_t seq. 4.Part II, Sect. II, p. 30, n. Nicolas de Malezieu, Elementa Geometrica. 5.Sect. Ill, p. 35, n. John Locke, Essay, Bk. II, Chap. XIV. 6.Sect. IV, p. 43, n. Antoine Arnauld, La logique ou l'art de penser. Part I, Chap. 5. (In some editions Pierre Nicole is named as co-author. The book is also known as the Port Royal Logic). 7.Sect. IV, p. 46, n. Isaac Barrow, Mathematical Lectures. 8.Part III, Sect. Ill, p. 80, n. Thomas Hobbes, Elements of Philosophy, Part Second, Chap. 9. And Tripos : in Three Discourse. Ill, of Liberty and Necessity. 55. Sect. Ill, p. 80, n. e.g., Samuel Clarke, A Demonstration of the Being and Attributes of God, Props. I-III, et. seq. 10.Sect. Ill, p. 81, n. John Locke, Essay, Bk. IV, Chap. X. 11.Sect. VIII, p. 100 and appendix Vol. Ill, p. 630. Cicero, De Finibus Bonorum et Malorum, Bk. V. 1.2. 12.Sect. XIII, p. 153. Jean Francois Paul de Gondi, Cardinal de Retz, Mémoires, Bk. III. The second 'observation' is from Book... (shrink)

An interesting difficulty arises if one tries to reconcile Reichenbach's views about "absolute" rotation in general relativity with his commitment to a "causal theory of space-time structure." This difficulty is made precise in the form of a simple theorem about relativistic space-time geometry.

A compact and accessible edition of Hume’s political and moral writings with essays by a distinguished set of contributors A key figure of the Scottish Enlightenment, David Hume was a major influence on thinkers ranging from Kant and Schopenhauer to Einstein and Popper, and his writings continue to be deeply relevant today. With four essays by leading Hume scholars exploring his complex intellectual legacy, this volume presents an overview of Hume’s moral, political, and social philosophy. Editors Angela Coventry and (...) Andrew Valls bring together a selection of writings from Hume’s most important works, with contributors placing them in their appropriate context and offering a lively discourse on the relevance of Hume’s thought to contemporary subjects like reason’s dependence on emotion and the importance of social convention in political and economic behavior. Perfect for classroom use, this volume is an invaluable companion for anyone studying an important thinker who advanced the development of moral philosophy, economics, cognitive science, and many other fields of the Western tradition. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 37.1 (2003) 40-53 [Access article in PDF] Aesthetic Experience and Aesthetic Analysis David E. W. Fenner The "raw data" that aesthetics is meant to explain is the aesthetic experience. People have experiences that they class off from other experiences and label, as a class, the aesthetic ones. Aesthetic experience is basic, and allother things aesthetic — aesthetic properties, aesthetic objects, aesthetic attitudes — (...) are secondary in their importance to aesthetic experiences. 1Considering aesthetic experience as the raw data that philosophical aesthetics seeks to explain is a relatively recent phenomenon. This was certainly not the focus in the seventeenth and eighteenth centuries. Aesthetic judgment was the focus of Shaftesbury, Hutcheson, Hume, and Kant: "How do we make meaningful judgments (hopefully real ones) about the aesthetic quality of (certain) objects and events?" But with George Santayana, John Dewey, and Jerome Stolnitz, the focus changes. Now the interest is in the aesthetic experience: what makes those experiences we label "aesthetic" special? Why do we separate those experiences from others?The movement from the Taste Theories to those focused on aesthetic experience is not a movement that is over and done with — far from it. There is still (and I think there will always be) a tension between these two very basic aspects of philosophical aesthetics. And, although I claim that aesthetic experience is the most basic thing that aesthetics studies, I recognize that this is challengeable and only true from a certain temporal viewpoint.I recently taught the most rewarding undergraduate course in aesthetics. The reason that it was so rewarding was that the students carried the class with deep and insightful discussions, and they were not shy about challenging what was coming out of my mouth. One of the challenges that informed our entire semester focused on the tension between experience and judgment. I lectured comfortably about aesthetic experience as our "raw data," and I lectured equally comfortably about how taking an aesthetic view of an object or event meant focusing primarily, if not exclusively, on [End Page 40] what is available to us through simple sensory acquaintanceship with the object. "Aesthetics," I said, "is about the sensuous aspects of our experiences." And so we could, for instance, take an aesthetic view of a Robert Mapplethorpe photograph which precluded our experiences being mired in the themes that the more famous Mapplethorpe photos take as their content. "Mapplethorpe is a great photographer," I argued, "and one can see this if one is willing to focus strictly on what meets your eye when you look at the picture." In short, I held the position that the aesthetic view is the formal one.Without saying more, what I did was conflate two different things. On the one hand, I argued that aesthetic experience is a natural part of life that aesthetics seeks to explore. On the other, I argued that appreciating something aesthetically was to appreciate its formal qualities, those qualities that one could access simply through looking, hearing, touching, for example. But these really are two different things.Aesthetic experiences, if we are to treat them as "raw data," must be explored without pre-conception, prejudice, or limitation. And, truly enough, the vast majority of aesthetic experiences are not focused exclusively, in terms of their contents, on formal or simple-sensory matters. Aesthetic experiences are, first, experiences. They are complex things, having to do with things as tidy as the formal qualities of the object under consideration and with things as messy as whether one had enough sleep the night before, whether one just had a fight with his roommate, whether one is carrying psychological baggage that is brought to consciousness by this particular aesthetic object. Later in this essay, I want to explore some of this complexity.The other side of what was happening in my class, the formal focus on the sensory as the basis for an aesthetic viewing, is not the substance of "aesthetic experience" per se. It is rather the basis of what we might call "aesthetic analysis." Aesthetic analysis has to do with separating out from our... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 37.1 (2003) 40-53 [Access article in PDF] Aesthetic Experience and Aesthetic Analysis David E. W. Fenner The "raw data" that aesthetics is meant to explain is the aesthetic experience. People have experiences that they class off from other experiences and label, as a class, the aesthetic ones. Aesthetic experience is basic, and allother things aesthetic — aesthetic properties, aesthetic objects, aesthetic attitudes — (...) are secondary in their importance to aesthetic experiences. 1Considering aesthetic experience as the raw data that philosophical aesthetics seeks to explain is a relatively recent phenomenon. This was certainly not the focus in the seventeenth and eighteenth centuries. Aesthetic judgment was the focus of Shaftesbury, Hutcheson, Hume, and Kant: "How do we make meaningful judgments (hopefully real ones) about the aesthetic quality of (certain) objects and events?" But with George Santayana, John Dewey, and Jerome Stolnitz, the focus changes. Now the interest is in the aesthetic experience: what makes those experiences we label "aesthetic" special? Why do we separate those experiences from others?The movement from the Taste Theories to those focused on aesthetic experience is not a movement that is over and done with — far from it. There is still (and I think there will always be) a tension between these two very basic aspects of philosophical aesthetics. And, although I claim that aesthetic experience is the most basic thing that aesthetics studies, I recognize that this is challengeable and only true from a certain temporal viewpoint.I recently taught the most rewarding undergraduate course in aesthetics. The reason that it was so rewarding was that the students carried the class with deep and insightful discussions, and they were not shy about challenging what was coming out of my mouth. One of the challenges that informed our entire semester focused on the tension between experience and judgment. I lectured comfortably about aesthetic experience as our "raw data," and I lectured equally comfortably about how taking an aesthetic view of an object or event meant focusing primarily, if not exclusively, on [End Page 40] what is available to us through simple sensory acquaintanceship with the object. "Aesthetics," I said, "is about the sensuous aspects of our experiences." And so we could, for instance, take an aesthetic view of a Robert Mapplethorpe photograph which precluded our experiences being mired in the themes that the more famous Mapplethorpe photos take as their content. "Mapplethorpe is a great photographer," I argued, "and one can see this if one is willing to focus strictly on what meets your eye when you look at the picture." In short, I held the position that the aesthetic view is the formal one.Without saying more, what I did was conflate two different things. On the one hand, I argued that aesthetic experience is a natural part of life that aesthetics seeks to explore. On the other, I argued that appreciating something aesthetically was to appreciate its formal qualities, those qualities that one could access simply through looking, hearing, touching, for example. But these really are two different things.Aesthetic experiences, if we are to treat them as "raw data," must be explored without pre-conception, prejudice, or limitation. And, truly enough, the vast majority of aesthetic experiences are not focused exclusively, in terms of their contents, on formal or simple-sensory matters. Aesthetic experiences are, first, experiences. They are complex things, having to do with things as tidy as the formal qualities of the object under consideration and with things as messy as whether one had enough sleep the night before, whether one just had a fight with his roommate, whether one is carrying psychological baggage that is brought to consciousness by this particular aesthetic object. Later in this essay, I want to explore some of this complexity.The other side of what was happening in my class, the formal focus on the sensory as the basis for an aesthetic viewing, is not the substance of "aesthetic experience" per se. It is rather the basis of what we might call "aesthetic analysis." Aesthetic analysis has to do with separating out from our... (shrink)

In lieu of an abstract, here is a brief excerpt of the content: I would like to begin by thanking the Journal of Japanese Philosophy for making space in these pages for a review of my monograph Watsuji on Nature: Japanese Philosophy in the Wake of Heidegger. Although book reviews do not usually receive a reply from the author—much less one as lengthy as the article that follows—one seemed necessary in this instance because my ideas, unfortunately, have been seriously mis-represented (...) here. Moreover, the number and kinds of misreadings, mistakes, misunderstandings, and omissions are so extensive that even a brief attempt to address the main points at issue is no small task. But the primary problem is that the reviewer contends that I say the opposite of what I actually maintain with regard to some of the central claims of the book. These mistaken assertions are primarily the consequence of a failure to understand crucial philosophical concepts (especially metaphysical nondualism, being-in-the-world, intentionality, and disclosure). But they also stem from a series of errors ranging from the exclusion of some of the fundamental ideas and arguments of the book to the misreading of pivotal claims and the mistranslation of the Japanese-language primary sources.I begin with a single but telling example that is characteristic of the way the reviewer repeatedly portrays me as saying the opposite of what I actually say. Droz states that “For Johnson, while human beings taken collectively as a whole have the capacity to transcend the fūdo, individual human beings apparently do not” (Droz, 133). But what I actually say is that Watsuji “has not shown that this same capacity belongs to the individual human being” (Johnson, 191). I then give a series of examples of individual transcendence: “the forms of transcendence that are evident in, for example, the complex identities of immigrants, of those who have lived in multiple countries, of those who live in multiple milieus at the same time [...] of those who develop a very different character from their compatriots even as they live together in the same place” (Johnson, 191). [End Page 167] I go on to point out that “we also need a subtler account, on a much smaller scale, of the ways the self is both constituted by and is also able to transcend its fūdo. In what follows we will give an indication of some of the issues involved” (Johnson, 191). I then proceed to give such an overview, concluding with the point that “the strong identification with one aspect of one’s milieu rather than another shows that the self is much more than the simple expression of its fūdo. This form of transcendence, I suggest, can be studied with profit as an instance of what Watsuji calls the individual dimension of human beings” (Johnson, 192).Misrepresentations of this sort abound. The most serious instance of this kind concerns one of the central theses of this study. At the beginning of her review, the author purports to recount two criteria that I propose “to clarify what the philosophical concept of fūdo entails” (Droz, 129). But in fact, I list four criteria under two distinct categories. First, in order to determine the scope and boundaries of a fūdo, I propose the following two criteria:1. certain regions as articulated wholes found in nature itself, which is what Watsuji attempts to articulate with his taxonomy of basic types of fūdo (Johnson, 34).2. a relational whole of disclosure, self-interpretation, and natural locale (Johnson, 34).But the reviewer takes note of (1) and passes over (2) in silence—this omission is significant and, as we will see shortly, it leads her into later difficulties. Droz instead moves directly to a second topic, namely, what I intend by the term nature, which is a concept found in both of these criteria. Here I follow Mill in thinking that we need some way to distinguish between nature and nonnature if nature is not simply to be equated with everything. I therefore propose two criteria that we might use to distinguish nature from artifice within a fūdo: A. nature as all-encompassing space and place B. the sheerly given self-unfolding of things . (shrink)

In a recent paper, Robert Hanna argues that Kant's incongruent counterparts example can be mobilized to show that some mental representations, which represent complex states of affairs as complex, do so entirely non-conceptually. I will argue that Hanna is right to see that Kant uses incongruent counterparts to show that there must be a non-conceptual component to cognition, but goes too far in concluding that there must be entirely non-conceptual representations that represent objects as existing in space and time. Kant (...) is deeply committed to the thesis that no representation of a complex state of affairs as complex can be entirely non-conceptual. For Kant, all representations of complex states of affairs as complex (including those of incongruent counterparts) are conceptually structured. I present an interpretation of the Transcendental Aesthetic according to which Kant not only aims at Leibnizian and Newtonian accounts of space and time, but also Hume's. Hume's account fails to make representations of complex states of affairs sufficiently determinate. Kant offers an account later in the Critique that is meant to correct this failing by requiring that all representations of complex states of affairs as complex be conceptually (inferentially) structured. (shrink)

Bourdieu is an important thinker within the sociological tradition and has a philosophically sophisticated approach to theoretical knowledge and research practice. In this paper, we examine the implication of his work for nursing and the health sciences more broadly. We argue that his work is best described as a reflexive realist who provides a space for a nonpositivist approach to knowledge that does not fall into the trap of idealism or relativism. We emphasize that Bourdieu was not an abstract theorist, (...) but only utilized theories to understand and explain the social world in all its empirical complexity. Theory is emphasized over method without denying the importance of method. We then provide a brief overview of some of his key concepts: habitus, field and capital. His work is a scientifically astute practice that has an emancipatory purpose, with particular resonance to the problems of nursing as a social practice. Some have criticized Bourdieu for undermining agency and we briefly address this issue, but argue that his conceptual framework helps us to understand what endures in social practice and why change is often problematic. In short, this paper argues that Bourdieu's work is a fruitful resource for critiquing existing nursing approaches that are preoccupied with agency over structure. (shrink)

Starting with the hypothesis that analogical reasoning consists of a search of semantic space, we used eye-tracking to study the time course of information integration in adults in various formats of analogies. The two main questions we asked were whether adults would follow the same search strategies for different types of analogical problems and levels of complexity and how they would adapt their search to the difficulty of the task. We compared these results to predictions from the literature. Machine learning (...) techniques, in particular support vector machines (SVMs), processed the data to find out which sets of transitions best predicted the output of a trial (error or correct) or the type of analogy (simple or complex). Results revealed common search patterns, but with local adaptations to the specifics of each type of problem, both in terms of looking-time durations and the number and types of saccades. In general, participants organized their search around source-domain relations that they generalized to the target domain. However, somewhat surprisingly, over the course of the entire trial, their search included, not only semantically related distractors, but also unrelated distractors, depending on the difficulty of the trial. An SVM analysis revealed which types of transitions are able to discriminate between analogy tasks. We discuss these results in light of existing models of analogical reasoning. (shrink)

Killing Times begins with the deceptively simple observation—made by Jacques Derrida in his seminars on the topic—that the death penalty mechanically interrupts mortal time by preempting the typical mortal experience of not knowing at what precise moment we will die. Through a broader examination of what constitutes mortal temporality, David Wills proposes that the so-called machinery of death summoned by the death penalty works by exploiting, or perverting, the machinery of time that is already attached to human existence. Time, (...) Wills argues, functions for us in general as a prosthetic technology, but the application of the death penalty represents a new level of prosthetic intervention into what constitutes the human. Killing Times traces the logic of the death penalty across a range of sites. Starting with the legal cases whereby American courts have struggled to articulate what methods of execution constitute “cruel and unusual punishment,” Wills goes on to show the ways that technologies of death have themselves evolved in conjunction with ideas of cruelty and instantaneity, from the development of the guillotine and the trap door for hanging, through the firing squad and the electric chair, through today’s controversies surrounding lethal injection. Responding to the legal system’s repeated recourse to storytelling—prosecutors’ and politicians’ endless recounting of the horrors of crimes—Wills gives a careful eye to the narrative, even fictive spaces that surround crime and punishment. Many of the controversies surrounding capital punishment, Wills argues, revolve around the complex temporality of the death penalty: how its instant works in conjunction with forms of suspension, or extension of time; how its seeming correlation between egregious crime and painless execution is complicated by a number of different discourses. By pinpointing the temporal technology that marks the death penalty, Wills is able to show capital punishment’s expansive reach, tracing the ways it has come to govern not only executions within the judicial system, but also the opposed but linked categories of the suicide bombing and drone warfare. In discussing the temporal technology of death, Wills elaborates the workings both of the terrorist who produces a simultaneity of crime and “punishment” that bypasses judicial process, and of the security state, in whose remote-control killings the time-space coordinates of “justice” are compressed and at the same time disappear into the black hole of secrecy. Grounded in a deep ethical and political commitment to death penalty abolition, Wills’s engaging and powerfully argued book pushes the question of capital punishment beyond the confines of legal argument to show how the technology of capital punishment defines and appropriates the instant of death and reconfigures the whole of human mortality. (shrink)

Pierre Bayle was one of the most important sceptical thinkers of the seventeenth century. His work was a major influence on the development of the ideas of Voltaire (who acclaimed it for its candour on such subjects as atheism, obscenity and sexual conduct), Hume, Montesquieu and Rousseau. Banned in France on first publication in 1697, Bayle's Dictionnaire Historique et Critique became a bestseller and ran into several editions and translations. Sally L. Jenkinson's masterly new edition presents the reader with (...) a coherent path through Bayle's monumental work (which ran to seven million words). This is the first volume in English to select political writings from Bayle's work and to present its author as a specifically political thinker. Sally L. Jenkinson's authoritative translation, careful selection of texts, and lucid introduction will be welcomed by scholars and students of the history of ideas, political theory, cultural history and French studies. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hume's Reading of Bayle: An Inquiry into the Source and Role of the Memoranda J. P. PITTION MY PURPOSE IN THIS PAPER is to discuss an aspect of Hume's reading of Pierre Bayle, the French "Philosopher of Rotterdam. ''1 I am not concerned here with the identification of Hume's direct borrowings from Bayle in the Treatise, nor with the much wider problem of a probable influence of Bayle (...) on Hume. It is indeed possible to identify in the Treatise a number of specific points taken from Bayle. Kemp Smith listed four at least: the account of skepticism, the discussion of Spinoza, the discussion of animal intelligence, and the criticism of the argument from design. 2 All of these come from Bayle's Dictionnaire. External evidence confirms that in 1732 Hume had a work of Bayle, presumably a copy of the Dictionnaire. Other borrowings from Bayle have been identified in the Treatise and in Hume's other works. This is no surprise, for in the eighteenth century Bayle's Dictionnaire was used as it was intended in the first instance, that is, as a reference work. In detailing the borrowings from Bayle, Kemp Smith also touched upon the broader question of influence when he stated that Hume's Pyrrhonism, particularly in relation to his treatment of religion, may also come from Bayle. Many recent scholars have followed suit. A problem of influence however is always a difficult one, and particularly so in this case. There was, as R. H. Popkin has pointed out, a broad awareness of continental skepticism among British philosophers of the eighteenth century. 3 However, apropos Berkeley, A. A. Luce has remarked that the trouble with eighteenth-century continental skepticism was that it had various objectives and took various forms. 4 This is true of Bayle himself. Within skepticism Bayle's position was known for its extremism, and it was this extremism that brought him notoriety. During the eighteenth century Bayle was the philosopher who promoted a systematic use of the Pyrrhonic mode of argument. He was acknowledged above all for having set up a double paradox: that any attempt at a rational theodicy must lead to Manicheism and that to argue for a rationalist Christian ethics is to argue the case of an atheistic one as well. In other words, in the early eighteenth century Bayle played the part of a contemporary Pyrrho and Zeno of Elea: he was known for this double stance, and it is for ' This is a slightly revised version of a paper read at the McGill Bicentennial Hume Conference, held at McGiUUniversity, Montreal, in September, 1976. I wishto offer my thanks to Professors H. M. Bracken and D. F. Norton for their assistanceon this version, and I am particularly grateful to Professor James Moore of Concordia University for his comments on the interpretation put forward here in relation to section III of the Memoranda (seen. 8). 2N. KempSmith, The Philosophy of David Hume (NewYork, 1964),pt. III, chap. XIV, app. C. 3 "David Hume and the Pyrrhonian Controversy," Review of Metaphysics VI (September, 1952):65-81. 4 The Dialectic of Immaterialisrn (London, 1963),p. 67. [373] 374 HISTORY OF PHILOSOPHY this stance that he was mentioned. It is doubtful whether many of those who do refer to Bayle during this period understood him beyond these terms, whether they sought to understand, or whether they even bothered to read Bayle's lengthy arguments. It is clear that few really grasped his complex, often ambiguous objectives. Mention of a Baylian position by an eighteenth-century writer is therefore no guarantee that the writer has actually read Bayle's works: Bayle is a sort of figurehead for Pyrrhonism, Manicheism, or often even atheism, but one can doubt that there is behind the mention of these basic positions any serious reflection on his thought. There are exceptions of course. Luce and H. M. Bracken have shown that Bayle played a seminal role in the formation of Berkeley's thought? But as a rule, knowledge of Bayle among writers of the Enlightenment was vague; references to him, nonspecific. In most cases it is scarcely possible to speak of an influence. My aim in this... (shrink)

"Nous ne cessons d'apprécier des objets, nous leur donnons de la valeur, nous les disons beaux ou laids. La beauté ou la laideur ne sont donc pas des qualités réelles des choses. Mais ce sentiment qui est le nôtre est causé par des qualités qui sont bien réelles dans les choses. De sorte que, la nature humaine étant assez ordinaire parmi les hommes, Il n'est pas vain de rechercher dans les matières du goût, et plus particulièrement dans les matières littéraires, (...) des lois générales qu'on peut figurer dans des modèles choisis ou représenter, sur un mode critique, dans une règle du goût. L'argument de Hume est simple, mais prête à des analyses fort subtiles. On en suit la progression avec bonheur dans ces essais magnifiquement écrits par leur auteur."--Back cover. (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)

The aim of this work is to study complex ecological models exhibiting simple dynamics. We consider large scale systems which can be decomposed into weakly coupled subsystems. Perturbation Theory is used in order to get a reduced set of differential equations governing slow time varying global variables. As examples, we study the influence of the individual behaviour of animals in competition and predator-prey models. The animals are assumed to do many activities all day long such as searching for food of (...) different types. The degree of competition as well as the predation pressure are dependent upon these activities. Preys are more vulnerable when doing some activities during which they are very exposed to predators attacks rather than for others during which they are hidden. We study the effect of a change in the average individual behaviour of the animals on interspecific relationships. Computer simulations of the whole sets of equations are compared to simulations of the reduced sets of equations. (shrink)

This essay examines David Hume's principal criticism of the idea of the infinite divisibility of extension in the ink-spot experiment of _Treatise<D>, Book I, Part II, and his arguments for his positive theory of finitely divisible space as composed of finitely many sensible extensionless indivisibles or _minima sensibilia<D>. The essay considers Hume's strict finitist metaphysics of space in the context of his reactions to a trilemma about the impossibility of the divisibility of extension on any theory posed by (...) class='Hi'>Pierre Bayle in the article on "Zeno of Elea" in his _Dictionary Historical and Critical<D>. I evaluate Hume's arguments in light of complaints raised by contemporary commentators, and I compare the inference of the _Treatise<D> with Hume's final words on the subject, in the cryptic Berkeleyan 'hint' of the first _Enquiry<D>, to the effect that the idea of infinite divisibility is subject to general objections to 'all _abstract<D> reasonings'. (shrink)

David Hume's Dialogues concerning Natural Religion, first published in 1779, is one of the most influential works in the philosophy of religion and the most artful instance of philosophical dialogue since the dialogues of Plato. It presents a fictional conversation between a sceptic, an orthodox Christian, and a Newtonian theist concerning evidence for the existence of an intelligent cause of nature based on observable features of the world. This new edition presents it together with several of Hume's other, shorter (...) writings about religion, and with brief selections from the work of Pierre Bayle, who influenced both Hume's views on religion and the dialectical style of the Dialogues. The volume is completed by an introduction which sets the Dialogues in its philosophical and historical contexts. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:154, DAVID HUME'S PRACTICAL ECONOMICS As Professor Eugene Rotwein emphasized in his introduction to David Hume: Writings on Economics (Madison, 1955), the philosopher made his observations on the eve of the industrial revolution in a period of accelerating change. Very often — as in the latter half of the seventeenth century — times of flux and turmoil call forth Utopian thinkers, who propose the creation of hierarchical, (...) communal, authoritarian societies, often patterned after a supposed golden 2 age. Hume emphatically rejected Utopian schemes of this kind. "All plans of government which suppose great reformation in the manners of mankind," he said, 3 "are plainly imaginary." He repeatedly warned as well that "projectors" and visionaries would disrupt the balance in government between liberty and authority. Thus he could speak of or make reference to "the visionary system or ravings of Plato" (in The Republic), the ultimate impracticality of More's Utopia and James Harrington's The Commonwealth of Oceana, and the absurdity of Robert Wallace's theories on 4 population and the paper money schemes of John Law. Even the Utopian republics of Andrew Fletcher of Saltoun, the Scottish patriot whom Hume admired as "a man of undaunted courage and inflexible principles," were dismissed with the others on practical grounds. The key word we have extracted from Hume's economics is practicality. Much as Hume would have liked to have designed an empirical "science of man" — which, incidentally, would have permitted him to propose his own infallible scheme of political economy — he realized that his own attempts had fallen far short of his goal. Thus his nine essays devoted especially to economics: "Of Commerce," "Of Refinement 155. in the Arts," "Of Money," "Of Interest," "Of the Balance of Trade," "Of the Jealousy of Trade," "Of Taxes," "Of Public Credit," and "Of the Populousness of Ancient Nations," are cautious in approach and pragmatic in spirit. Most of these essays were specifically designed to challenge prevailing assumptions and Utopian grand schemes of one sort or another. In "Of Commerce," for example, Hume rejects the idea that a nation can achieve greatness as an agricultural utopia. In "Of Refinement in the Arts" he takes issue with certain religious thinkers who 7 denote luxury as evil. In "Of Money" he is critical of those who believe that an injection of money into O the economy will work long-term wonders, and in "Of Interest" he argues with those who reason that the 9 plenty of money leads to low interest rates. "Of the Balance of Trade" and "Of the Jealousy of Trade" are directed against the protectionist policies of the mercantilists, "Of Taxes" rejects the French physiocratic single tax on land, and "Of Public Credit" deplores the expedients of Lord Oxford's partisans to draw bills on posterity and imprudently 12 use public credit to create paper riches. Finally, he addressed his essay, "Of the Populousness of Ancient Nations" to a refutation of the doomsday thinking of 13 the Reverend Robert Wallace of Edinburgh. This is not to imply, however, that Hume's economic thought was merely negative, or that he believed governments could safely entrust their powers over the economy to an "invisible hand." Even Hume's advocacy of free trade (which his friend and pupil Adam Smith, of course, applied with less caution) left the government with room to maneuver. Hume was willing to employ both the market and authority in designs for human progress. In seeking his mix of "action, 156. consumption, liveliness and indolence," a contradictory, counter-poised economic actor, the individual, was not a simple pleasure maximizer, nor did the acquisition of wealth and luxury make him a villain. He was a person in whom the complex springs of action, the causes of labour, needed first one, now another counter-weight. Society benefited from both 14 free trade and from tariff. Hume believed that industrial development and the advancement of commerce were the springboards to progress and happiness. Less is less and more is more; Hume never got these simple verities mixed up. "The same age," he said, "which produces great philosophers and politicians, renowned generals and poets, usually abounds with skillful weavers, and ship-carpenters.... The spirit of the age... (shrink)

Hume introduced important innovations concerning the theory of ideas. The two most important are the distinction between impressions and ideas, and the use he made of the principles of association in explaining mental phenomena. Hume divided the perceptions of the mind into two classes. The members of one class, impressions, he held to have a greater degree of force and vivacity than the members of the other class, ideas. He also supposed that ideas are causally dependent copies of impressions. And, (...) unlike Locke and others, Hume makes positive use of the principle of association, both of the association of ideas, and, in a more limited way, of the association of impressions. Such associations are central to his explanations of causal reasoning, belief, the indirect passions (pride and humility, love and hatred), and sympathy. These views about impressions and ideas and the principles of association form the core of Hume’s science of human nature. Relying on them, he attempts a rigorously empirical investigation of human nature. The resulting system is a remarkable but complex achievement. (shrink)

Liberty and freedom are frequently invoked to justify political action. Presidents as diverse as Woodrow Wilson, Franklin Delano Roosevelt, John F. Kennedy, Ronald Reagan, and George W. Bush have built their policies on some version of these noble values. Yet in practice, idealist agendas often turn sour as they confront specific circumstances on the ground. Demonstrated by incidents at Abu Ghraib and Guantánamo Bay, the pursuit of liberty and freedom can lead to violence and repression, undermining our trust in universal (...) theories of liberalism, neoliberalism, and cosmopolitanism. Combining his passions for politics and geography, David Harvey charts a cosmopolitan order more appropriate to an emancipatory form of global governance. Political agendas tend to fail, he argues, because they ignore the complexities of geography. Incorporating geographical knowledge into the formation of social and political policy is therefore a necessary condition for genuine democracy. Harvey begins with an insightful critique of the political uses of freedom and liberty, especially during the George W. Bush administration. Then, through an ontological investigation into geography's foundational concepts—space, place, and environment—he radically reframes geographical knowledge as a basis for social theory and political action. As Harvey makes clear, the cosmopolitanism that emerges is rooted in human experience rather than illusory ideals and brings us closer to achieving the liberation we seek. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hume's Demarcation Project John Losee Demarcation, Ideas and Impressions David Hume sought to exclude certain concepts from the domain of empirically significant discourse. He was critical of talk about "substances" that bear qualities, "forces" that cause motions, "powers" that produce effects, "necessary connections" that determine sequences of events, "extension without matter" and "time independent of succession or change in any real existence."1 Hume proposed a demarcation ofideas, a (...) demarcation intended to exclude these notions. The demarcation project, if successful, would exclude Locke's notion of "substance" as well as Newton's notions of "Absolute Space" and "Absolute Time." Some interpreters have taken the demarcation project to be the centrepiece of Hume's philosophy. Others have seen it to be an incidental aspect of Hume's search for an empirical theory of human nature. I believe that David Pears was correct to insist that an acceptable account ofHume's philosophy include both the "destructive emphasis" and the "constructive emphasis."2 Hume's demarcation project is based on a presumed relation, or relations, between ideas and impressions. Hume made the following claims about "simple ideas," those ideas that "admit of no distinction nor separation" (T 2): 1)every simple idea in its first appearance is derived from some impression (Derivability Principle); 2)every simple idea in its first appearance copies some impression (Copy Principle); 3)every simple idea represents some impression (Representation Principle); 4)simple ideas and impressions resemble one another; 5)simple ideas correspond to impressions; 6)every simple idea is borroVd from some impression; Volume XVII Number 2 51 JOHN LOSEE 7)for every simple idea there is some temporally antecedent impression; and 8)impressions cause simple ideas. Primafacie, these claims are empirical claims about the genesis of our ideas. But within Hume's demarcation project these claims also function as criteria for membership in the class of simple ideas. Those ideas that satisfy the criteria constitute raw material from which complex ideas are formulated. Complex ideas are constructed from simple ideas. However, they are not copies of simple ideas. Aparticular complex idea is empirically significant provided that, 1) it is derivable from simple ideas; and 2) each of those simple ideas is derivable from impressions. The Case of the Missing Shade ofBlue Tensions arise within the demarcation project in part because Hume employs nonequivalent criteria—Derivability Principle, Copy Principle, Representation Principle—as if they were equivalent. The tension is acute in the case of the missing shade ofblue. The "missing shade" is an idea formulated by a person with extensive experience of colours, but no prior exposure to the shade in question. If this idea is a simple idea, then it is false that every simple idea copies some antecedent impression. Why did Hume cite—in both Treatise and Inquiry—this apparently destructive exception? Bernard Rollin has suggested that Hume may have cited the missing-shade-of-blue example as a rhetorical device toprotecthis dichotomous divisionofpropositionsinto those that are analytic a priori and those that are synthetic a posteriori (including the Derivabihty Principle).11 John O. Nelson agreed that Hume is concerned to emphasize the contingent, empirical status of the Derivabihty Principle.12 Nelson suggested that Hume sought tomake two points. The first pointis that an exception to the Derivability Principle is empirically possible. The second point is that thought-experiments like the missing-shade example are inadequate to establish conclusions about matters offact. To entertain such thought-experiments is to lapse into hypothetical speculation, a violation ofthe "experimental method ofreasoning."13 Perhaps it was for this reason that Hume dismissed the missing-shade case as unimportant. Hume urged that this case is "so particular and singular" thatit provides nogoodreason to abandon the Copy Principle (T 6). 52Hume Studies HUME'S DEMARCATION PROJECT D. M. Johnson has developed a hypothesis to explain why Hume believed that this exceptional case is not damaging to his demarcation project. According to Johnson, Hume may have believed that for a person to reconstruct a shade he never saw before, he must have developed an appropriately detailed Tiabitual spectrum'—i.e., an ordered set oftendencies and expectations concerning colours, built up as a result oflong experience with thingshavingthese colours—whichhe then employs... (shrink)

Does consciousness collapse the quantum wave function? This idea was taken seriously by John von Neumann and Eugene Wigner but is now widely dismissed. We develop the idea by combining a mathematical theory of consciousness (integrated information theory) with an account of quantum collapse dynamics (continuous spontaneous localization). Simple versions of the theory are falsified by the quantum Zeno effect, but more complex versions remain compatible with empirical evidence. In principle, versions of the theory can be tested by experiments with (...) quantum computers. The upshot is not that consciousness-collapse interpretations are clearly correct, but that there is a research program here worth exploring. (shrink)

No Abstract In his graduate-seminar lectures on Kant—published as Kant and Pre-Kantian Themes (Sellars, 2002)—Wilfrid Sellars argues that because Hume cannot distinguish between a vivacious idea and an idea of something vivacious he cannot account for the human ability to represent temporally complex states of affairs. The first section of this paper aims to show that this argument is not properly aimed at the historical Hume who can, on a proper reading, distinguish these kinds of representations. This is not, however, (...) Sellars’ only argument for this conclusion. The next section of this paper continues with a discussion of an argument that Sellars presents on Kant’s behalf in Science and Metaphysics, and its key Kantian premise that, contra Hume, only conceptual representations can represent any complex states of affairs as such. The conclusion of this discussion is that Sellars does indeed present compelling reasons for rejecting a Humean account, reasons centered on the ambiguity of the associative structure of mental representation (which Sellars subsequently replaces with inferential structure). The paper concludes with an examination of the sense in which non-conceptual representations—such as those that Hume considers—represent and the role that these play in conceptual representation for both Sellars and Kant. (shrink)

Kant argued that Euclidean geometry is synthesized on the basis of an a priori intuition of space. This proposal inspired much behavioral research probing whether spatial navigation in humans and animals conforms to the predictions of Euclidean geometry. However, Euclidean geometry also includes concepts that transcend the perceptible, such as objects that are infinitely small or infinitely large, or statements of necessity and impossibility. We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that (...) are present in all humans, even in the absence of formal mathematical education. Our tests probed intuitions of points, lines, and surfaces in participants from an indigene group in the Amazon, the Mundurucu, as well as adults and age-matched children controls from the United States and France and younger US children without education in geometry. The responses of Mundurucu adults and children converged with that of mathematically educated adults and children and revealed an intuitive understanding of essential properties of Euclidean geometry. For instance, on a surface described to them as perfectly planar, the Mundurucu's estimations of the internal angles of triangles added up to ∼180 degrees, and when asked explicitly, they stated that there exists one single parallel line to any given line through a given point. These intuitions were also partially in place in the group of younger US participants. We conclude that, during childhood, humans develop geometrical intuitions that spontaneously accord with the principles of Euclidean geometry, even in the absence of training in mathematics. (shrink)

Let E be a separable Banach space with separable dual. We show that the operation of subdifferentiation and the inverse operation are Borel from the convex functions on E into the monotone operators on E for the Effros–Borel structures.We also prove that the set of derivatives of differentiable convex functions is coanalytic non-Borel, by using the already known fact that the set of differentiable convex functions is itself coanalytic non-Borel, as proved in Bossard et al. 142).At last, we give a (...) new proof of this latter fact, for reflexive E's, by giving a coanalytic rank on those sets and constructing functions of “high ranks”. This approach, based on an ordinal rank which follows from a construction of trees, is quite different — not so general but actually more constructive — from the previous results of this kind, in Bossard et al. 142) and Godefroy et al. , based on reductions of arbitrary coanalytic or difference of analytic sets to the studied sets. (shrink)

We fear that the growing threat of violent attack has upset the balance between existential concepts of political power, which emphasize security, and traditional notions of constitutional limits meant to protect civil liberties. We worry that constitutional states cannot, during a time of war, terror, and extreme crisis, maintain legality and preserve civil rights and freedoms. David Williams Bates allays these concerns by revisiting the theoretical origins of the modern constitutional state, which, he argues, recognized and made room for (...) tensions among law, war, and the social order. We traditionally associate the Enlightenment with the taming of absolutist sovereign power through the establishment of a legal state based on the rights of individuals. In his critical rereading, Bates shows instead that Enlightenment thinkers conceived of political autonomy in a systematic, theoretical way. Focusing on the nature of foundational violence, war, and existential crises, eighteenth-century thinkers understood law and constitutional order not as constraints on political power but as the logical implication of that primordial force. Returning to the origin stories that informed the beginnings of political community, Bates reclaims the idea of law, warfare, and the social order as intertwining elements subject to complex historical development. Following an analysis of seminal works by seventeenth-century natural-law theorists, Bates reviews the major canonical thinkers of constitutional theory (Locke, Montesquieu, and Rousseau) from the perspective of existential security and sovereign power. Countering Carl Schmitt's influential notion of the autonomy of the political, Bates demonstrates that Enlightenment thinkers understood the autonomous political sphere as a space of law protecting individuals according to their political status, not as mere members of a historically contingent social order. (shrink)

Nous étudions un traité scientifique en langue arabe, achevé à Belgrade en 1779. Son titre est L’Offrande du converti pour ranimer la flamme éteinte. Il ne fut jamais imprimé, mais dix copies, d’aspect semblable à celui des manuscrits arabes traditionnels, attestent de sa circulation dans l’Empire ottoman. L’auteur, un converti à l’islam qu’on appelait Osman Efendi, y aborde la géométrie euclidienne, la géométrie d’arpentage, la dynamique galiléenne et leurs applications aux sciences militaires. Il affiche son ambition de « faire revivre (...) et renouveler » la géométrie, « science oubliée et délaissée », et révèle in fine avoir pour cela traduit des livres allemands et français. Après un essai de reconstruction de la biographie d’Osman Efendi, nous montrerons que son ouvrage est en réalité une production élaborée, dépassant largement la simple démarche de traduction. Montage soigneux de différentes sources européennes que nous identifierons, il incorpore aussi un grand nombre d’éléments directement empruntés au savoir islamique de la tradition vivante. Il est ainsi le témoin remarquable d’une tentative de constitution d’un savoir hybride euro-islamique. (shrink)

It is sometimes claimed that string theory posits a fundamental ontology including extended mereological simples, either in the form of minimum-sized regions of space or of the strings themselves. But there is very little in the actual theory to support this claim, and much that suggests it is false. Extant string theories treat space as a continuum, and strings do not behave like simples.

Understanding Hume’s theory of space and time requires suspending our own. When theorizing, we think of space as one huge array of locations, which external objects might or might not occupy. Time adds another dimension to this vast array. For Hume, in contrast, space is extension in general, where being extended is having parts arranged one right next to the other like the pearls on a necklace. Time is duration in general, where having duration is having parts occurring one aft (...) er another like the notes of a song. Hume’s diff erent view stems from his empiricism, his reliance on experience and observation as the foundation of our concepts. Nothing in our experience suggests a single vast array of locations. Rather, we simply notice that bodies are similar insofar as they have lengths that can be compared. Likewise, nothing in our experience suggests a single dimension of time. Rather, we simply notice that diff erent successions are similar insofar as they have durations that can be compared. Th eorizing that these observations show there to be a single multidimensional array goes well beyond the evidence for Hume. As a skeptic, he fi nds himself unable to assent to theories that stray too far beyond the deliverances of the senses. For Hume, the ideas of space and time are each a general idea of simple—partless— objects arrayed in a certain manner. He argues that the structures of the ideas of space and time refl ect the structures of space and time. Th erefore, space and time are not infi - nitely divisible, and they are ways simple objects are arrayed. Consequently, there is no such thing as empty space nor time without change. (shrink)

The break necessary to establish a rigorous science of cultural works is something more and something else than a simple methodological reversal.1 It implies a true conversion of the ordinary way of thinking and living the intellectual enterprise. It is a matter of breaking the narcissistic relationship inscribed in the representation of intellectual work as a “creation” and which excludes as the expression par excellence of “reductionist sociology” the effort to subject the artist and the work of art to a (...) way of thinking that is doubly objectionable since it is both genetic and generic.It would be easy to show what the most different kinds of analysis of the work of art owe to the norms that require treating works in and for themselves, with no reference to the social conditions of their production. Thus in the now-classic Theory of Literature, René Wellek and Austin Warren seem to advocate “an explanation in terms of the personality and the life of the writer.” In fact, because they accept the ideology of the “man of genius” they are committed, in their own terms, to “one of the oldest and best-established methods of literary study”—which seeks the explanatory principle of a work in the author taken in isolation .2 In fact, this explanatory principle resides in the relationship between the “space” of works in which each particular work is taken and the “space” of authors in which each cultural enterprise is constituted. Similarly, when Sartre takes on the project of specifying the meditations through which society determined Flaubert, the individual, he attributes to those factors that can be perceived from that point of view—that is, to social class as refracted through a family structure—what are instead the effects of generic factors influencing every writer in an artistic field that is itself in a subordinate position in the field of power and also the effects specific to all writers who occupy the same position as Flaubert within the artistic field. 1. See Pierre Bourdieu, “Intellectual Field and Creative Project,” trans. Sian France, Social Science Information 8 : 89-119; originally published as “Champ intellectual et projet créateur,” Les Temps moderns no. 246 : 865-906. See also Bourdieu, “Champ du pouvoir, champ intellectual et habitus de classe,” Scolies 1 : 7-26, and Bourdieu, “The Genesis of the Concepts of Habitus and Field,” trans. Channa Newman, Sociocriticism no. 2 : 11-24.2. René Welleck and Austin Warren, Theory of Literature p. 69. Pierre Bourdieu holds the chair of sociology at the Collège de France and is director of the Centre de Sociologie européenne at the École des Hautes Études en Sciences Sociales. Among his most recent works are Distinction , Homo Academicus , and Choses Dites. (shrink)