In this article we contend that attempts to foster democratic education in the United States' public schools rarely include mathematics class in meaningful ways. We begin with Dewey's conception of democracy and then argue that current ways of thinking about mathematics do not provide adequate foundations for democratic mathematics education. Our reconceptualization of mathematics draws on Dewey's uniquely humanistic philosophy of mathematics. We conclude with some implications of democratic mathematics education for school and society. Thus, this project seeks to blur (...) the theory-practice dualism, developing a theoretical argument which draws sustenance from and seeks to contribute back to educational practice. (shrink)

The Descartes Dictionary is an accessible guide to the world of the seventeenth-century philosopher René Descartes. Meticulously researched and extensively cross-referenced, this unique book covers all his major works, ideas and influences, and provides a firm grounding in the central themes of Descartes' thought. The introduction provides a biographical sketch, a brief account of Descartes' philosophical works, and a summary of the current state of Cartesian studies, discussing trends in research over the past four decades. The A-Z entries include clear (...) definitions of the key terms used in Descartes' writings and detailed synopses of his works. Also included are entries noting philosophical influences, of both figures that influenced Descartes and those that he in turn influenced. For anyone reading or studying Descartes, rationalism, or modern philosophy more generally, this original resource provides a wealth of useful information, analysis, and criticism. Including clear explanations of often complex terminology, The Descartes Dictionary covers everything that is essential to a sound understanding of Descartes' philosophy. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 42.1 (2004) 98-99 [Access article in PDF] Henrik Lagerlund and Mikko Yrjönsuuri, editors. Emotions and Choice from Boethius to Descartes. Dordrecht, Netherlands: Kluwer Academic Publishers, 2002. Pp. xi + 342. Paper $38.00. This book contains twelve essays that work together to trace a variety of theories of emotion, intellect, and will, specifically connected to the possibility of moral decision and action, that run (...) from the late ancient period to the early modern period. Though some essays are more history than philosophy, the collection nevertheless balances out and brings to the reader an in-depth study of what the editors rightly describe as a neglected field of research. Contributors are: Calvin Normore, Simo Knuuttila, Risto Saarinen, Mikko Yrjonsuuri, John Boler, Vesa Hirvonen, Henrik Lagerlund, Lorenzo Casini, Peter King, Deborah Brown, and Lilli Alanen.It is clear from the editors' introduction that the idea behind the collection is the piecing together of a complex patchwork of theories, showing how they form a single, coherent intellectual history from Boethius to Descartes. Time will tell whether the story told holds up. Several of the essays bring to light previously ignored philosophers of the medieval and scholastic periods who are seen as important players in the history being worked out. And, several essays (Brown's and Alanen's, e.g.) forward new and interesting—though arguably controversial—takes on philosophers well known to many (in their cases, Descartes). So, there is much worth looking at here.There are a few philosophical landmines. For example, in places authors seem unconcerned about potential problems arising from the way in which a view is stated. For instance, in explaining how a human being wills, the view that the willing is done via a faculty inherent in the soul is developed. This, of course, is all well and good. But, the author goes on to say, "If whatever the will wills is attained..." (18), which makes the will the subject of willing, not the human being. The will is also said to have passions, and the rational part of the soul an appetitive faculty (ibid.). So, is it that human beings do not will and do not have passions, but the wills will and have passions? Doesn't such a 'theory' simply push back what it is that needs to be explained? For, how does the will will? Does it have a faculty that wills, and so on? The trouble is that the reader is not sure whether the landmine is inherent in the view being discussed, an artifact of the text, or something invented by an author in the exegesis itself. [End Page 98]The river is high with respect to the readings. And so, it is not recommended to those coming, for example, to the topics of rational choice, free will, or weakness of will for the first time. However, it is highly recommended to those whose research deals with such topics, or is in the field of the history of philosophy of mind. Kurt Smith Bloomsburg University of Pennsylvania... (shrink)

Civilization, Modernity, and Critique provides the first comprehensive, cutting edge engagement with the work of one of the most foundational figures in civilizational analysis: Johann P. Arnason. In order to do justice to Arnason's seminal and wide-ranging contributions to sociology, social theory and history, it brings together distinguished scholars from a variety of disciplinary backgrounds and geographical contexts. Through a critical, interdisciplinary dialogue, it offers an enrichment and expansion of the methodological, theoretical, and applicative scope of civilizational analysis, by addressing (...) some of the most complex and pressing problems of contemporary global society. A unique and timely contribution to the ongoing task of advancing the project of a critical theory of society, this volume will appeal to scholars of sociology and social theory with interests in historical sociology, critical theory and civilizational analysis. (shrink)

M̀atter Matters is a work of genius. The work exhibits a breathtaking spread of erudition from antiquity to the present, mobilized to elucidate the early modern significance of the concept of matter. The slight play of words in the title expresses the principal thesis of the work, that mathematics is intelligible for Descartes if and only if matter exists as its object. Smith understands, better than anyone, how Descartes could claim, literally, that "my physics is nothing but geometry." Many (...) will be convinced, some dismayed, and all will be dazzled by this book.'---Thomas M. Lennon, The University of Western Ontario". (shrink)

If we were to look caref ully at recent commentary on Descartes's theories of ideas and Sensation, we would find that a large number of commentators hold that he believes the following:.Ideas are representational,Sensations are ideas,Sensations are not representational.This is an inconsistent triad: any two of the above claims can be true together, but they cannot all be true together. The inconsistent triad can be avoided if we reject one of the claims. Some have argued that Descartes did not hold.1 (...) Some have argued that he did not hold. I believe that Descartes held and, and will argue that he did not hold.Generally, any account of Cartesian Sensation at the very least must account for sensations in terms of the ontology. The account must say whether they are modes or not, and if modes, modes of what — mind, body, both, the union, and so on. Moreover, how sensations are cast in terms of the ontology must agree with how they are cast in terms of the epistemology. (shrink)

RÉSUMÉLe «clair» et le «distinct» comptent parmi les concepts les plus importants de la théorie cartésienne de la connaissance. Il n'est pas étonnant dès lors qu'il se soit trouvé quelques divergences quant à la façon dont ces concepts doivent être compris. Mais jusqu'à tout récemment, les chercheurs ne se sont guère attardés sur ces divergences, alors pourtant que certaines d'entre elles sont fort remarquables. Ainsi certaines interprétations de la théorie soutiennent que le fait de contraindre la volonté est la marque (...) des idées claires et distinctes, tandis que cela est rejeté par d'autres. Certaines encore soutiennent que le clair et le distinct sont susceptibles de degrés, tandis que d'autres ne sont pas d'accord. Mon objectif dans cet article est d'esquisser une théorie générale capable de rendre compte, dans ces cas comme dans un certain nombre d'autres, de cette variété d'interprétations du clair et du distinct qui est enracinée dans le corpus cartésien même. J'appelle cette théorie «générale» dans la mesure où les diverses interprétations évoquées sont par rapport à elle comme des espèces par rapport à un genre. Ma reconstruction de la théorie générale trouve son appui textuel dans l'ensemble du corpus cartésien. Le gros de mes efforts, cependant, consiste à retracer la théorie dans un texte qui fut l'un des premiers écrits de Descartes : les Régies pour la direction de l'esprit. (shrink)

Seventy-five fun puzzles to help improve mathematical and thinking skills. Decipher various clues by adding, subtracting, multiplying, dividing, reading carefully, and using powers of reason. Transfer the information onto grids that are provided, and find the solution to a given set of circumstances. "...the book is a delightful collection of problem situations that teachers and students will enjoy using..."--Mathematics.

'The Battle of the Gods and Giants Redux' is a collection of 14 original essays in early modern philosophy by leading scholars in the field presented in honour of Thomas M. Lennon.

This chapter contains sections titled: The Falsity Inherent in Sensory Ideas Descartes, Arnauld, and the Notion of Material Falsity Some Leading Interpretations A New Interpretation Conclusion.

This book is a collection of eleven terrific essays that represent a span of nearly thirty years of Descartes scholarship. As the title indicates, the book aims at providing a critical look at the philosophical classic, René Descartes’s Meditations on First Philosophy.

This book is a collection of seventeen first-rate essays, the overall theme of which is to examine the connection between logic and faculty psychology as construed by the philosophers of the modern period.

This book is a collection of eight substantial essays, the overall aim of which is to shed new light on the works of René Descartes, Gottfried Leibniz, and Pierre Bayle. The essays are original, and not reprints of earlier publications, having come to the collection by way of two separate commissions, and represent some of the best early Modern scholarship done within the past decade. The contributors are Stephen Menn, Tad Schmaltz, Steven Nadler, Stuart Brown, Christia Mercer, Catherine Wilson, Thomas (...) Lennon, and David Wooton. (shrink)

This two-volume set is a collection of several first-rate essays, the aim of which is to provide an in-depth and comprehensive study of the philosophical setting of the seventeenth century. The collection is part of a much larger Cambridge history series, the last installment of which was rifled, The Cambridge History of Renaissance Philosophy.

In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Gödel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, (...) showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book - extensively rewritten for its second edition - will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic. -/- (This second edition revises the first edition, with the aim of making it even more reader-friendly.). (shrink)

Most of us value the legacy of the Enlightenment, but today we often worry about the conceptual and temporal stability of its core ideals. Griswold presents Smith as having something to say to these concerns, particularly in The Theory of Moral Sentiments, which, according to Griswold in chapter 1, is not an exercise in detached philosophical analysis but a piece of rhetoric designed for moral influence on the reader. Smith means, by treating virtue in the manner of a (...) theater critic discussing drama, to help his readers realize and sustain an Enlightenment model of the virtuous life. (shrink)

Barry Smith has written a book about an important topic in philosophy and its recent history, concerning the legacy of Franz Brentano. “The Legacy of Franz Brentano” is also its subtitle, a subtitle much more revealing of its contents than its title: Austrian Philosophy. That title makes one expect either a general picture of philosophy in Austria, past and/or present, or an account of what Rudolf Haller has called Austrian Philosophy, a term that refers to its golden age, to (...) a tradition whose main characteristics are, according to Haller, empiricism, proximity to science, and a concern with language. Smith includes these properties in his characterization of the legacy of Brentano, and adds quite appropriately for that legacy “a concern with ontological structure” and “an overriding interest in the relation of macro-phenomena ... to ... micro-phenomena which underlie or are associated with them”. Smith is quite aware that this addition does not hold for the tradition of Austrian philosophy, since he opposes it to a German tradition, and delineates the former “by means of a list beginning with Bolzano, Mach and Meinong, and ending with Wittgenstein, Neurath, and Popper”. (shrink)

In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing in logic. Gödel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to (...) prove the Second Theorem, and exploring a family of related results. The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic. (shrink)

In 1890 Christian von Ehrenfels published his classic paper "Über 'Gestaltqualitäten'", the first systematic investigation of the philosophy and psychology of Gestalt. Ehrenfels thereby issued an important challenge to the psychological atomism that was still predominant in his day. His paper not only exerted a powerful influence on the philosophy of the Meinong school, it also marked the beginning of the Gestalt tradition in psychology, later associated with the work of Wertheimer, Köhler and Koffka in Berlin. Includes papers by C. (...) Von Ehrenfels, Kurt Grelling and Paul Oppenheim and contributions by K. Mulligan, P.M. Simons and Barry Smith. (shrink)

The Austrian philosopher Christian von Ehrenfels published his essay "On 'Gestalt Qualities'" in 1890. The essay initiated a current of thought which enjoyed a powerful position in the philosophy and psychology of the first half of this century and has more recently enjoyed a minor resurgence of interest in the area of cognitive science, above all in criticisms of the so-called 'strong programme' in artificial intelligence. The theory of Gestalt is of course associated most specifically with psychologists of the Berlin (...) school such as Max Wertheimer, Wolfgang Kohler and Kurt Koffka. We shall see in what follows, however, that an adequate philosophical understanding of the Gestalt idea and of Ehrenfels' achievement will require a close examination not merely of the work of the Berlin school but also of a much wider tradition in Austrian and German philosophy in general. (shrink)

One reason for the renewed interest in Austrian philosophy, and especially in the work of Brentano and his followers, turns on the fact that analytic philosophers have become once again interested in the traditional problems of metaphysics. It was Brentano, Husserl, and the philosophers and psychologists whom they influenced, who drew attention to the thorny problem of intentionality, the problem of giving an account of the relation between acts and objects or, more generally, between the psychological environments of cognitive subjects (...) and the different sorts of external (physical, geographical, social) environments which they inhabit. The present essay addresses this environmental version of the problem of intentionality. It draws not only on the work of Husserl and Scheler but also on the Gestalt psychological writings of Kurt Koffka and Kurt Lewin. It considers the influential subjective idealist theory of animal environments put forward by J. von Uexküll and contrasts this with a realist theory of organism-environment interaction based on the work of the ecological psychologists J. J. Gibson and Roger Barker. This realist theory is then exploited as a basis for an ontology of social objects of a range of different sorts. (shrink)

One reason for the renewed interest in Austrian philosophy, and especially in the work of Brentano and his followers, turns on the fact that analytic philosophers have become once again interested in the traditional problems of metaphysics. It was Brentano, Husserl, and the philosophers and psychologists whom they influenced, who drew attention to the thorny problem of intentionality, the problem of giving an account of the relation between acts and objects or, more generally, between the psychological environments of cognitive subjects (...) and the different sorts of external (physical, geographical, social) environments which they inhabit. The present essay addresses this environmental version of the problem of intentionality. It draws not only on the work of Husserl and Scheler but also on the Gestalt psychological writings of Kurt Koffka and Kurt Lewin. It considers the influential subjective idealist theory of animal environments put forward by J. von Uexküll and contrasts this with a realist theory of organism-environment interaction based on the work of the ecological psychologists J. J. Gibson and Roger Barker. This realist theory is then exploited as a basis for an ontology of social objects of a range of different sorts. (English translation is appended to the French text.). (shrink)

The term ‘Gestalt’ was introduced into psychology by the Austrian philosopher Christian von Ehrenfels in an essay entitled “On ‘Gestalt-Qualities’” published in 1890. ‘Gestalt,’ in colloquial German, means roughly: ‘shape’ or ‘structure’ or ‘configuration’, and Ehrenfels demonstrates in his essay that there are certain inherently structural features of experience which need to be acknowledged in addition to simple tones, colours and other mental ‘atoms’ or ‘elements’. His essay thus initiated a reaction against the then still dominant atomism in psychology, a (...) reaction which culminated in the work on ‘cerebral intregation’ of the so-called Berlin school of Gestalt psychology. Max Wertheimer, one of the leading members of this school, was a student of Ehrenfels in Prague. Ehrenfels himself belonged to an impressive list of original thinkers – a list which includes also Edmund Husserl, Alexius Meinong and Carl Stumpf, the founder of the Berlin school – who were students of Franz Brentano. Each of these thinkers attempted to elaborate, both ontologically and psychologically, the doctrine of intentionality put forward by Brentano. The work of Ehrenfels and of the later Gestaltists, too, may be seen as a contribution to the understanding of this mental directedness, and in particular to the understanding of the directedness of perceptual experience. (shrink)

One reason for the renewed interest in Austrian philosophy, and especially in the work of Brentano and his followers, turns on the fact that analytic philosophers have become once again interested in the traditional problems of metaphysics. It was Brentano, Husserl, and the philosophers and psychologists whom they influenced, who drew attention to the thorny problem of intentionality, the problem of giving an account of the relation between acts and objects or, more generally, between the psychological environments of cognitive subjects (...) and the different sorts of external (physical, geographical, social) environments which they inhabit. The present essay addresses this environmental version of the problem of intentionality. It draws not only on the work of Husserl and Scheler but also on the Gestalt psychological writings of Kurt Koffka and Kurt Lewin. It considers the influential subjective idealist theory of animal environments put forward by J. von Uexküll and contrasts this with a realist theory of organism-environment interaction based on the work of the ecological psychologists J. J. Gibson and Roger Barker. This realist theory is then exploited as a basis for an ontology of social objects of a range of different sorts. (This is the English original of the French translation.). (shrink)

The paper introduces the concepts at the heart of point-set-topology and of mereotopology (topology founded in the non-atomistic theory of parts and wholes) in an informal and intuitive fashion. It will then seek to demonstrate how mereotopological ideas can be of particular utility in cognitive science applications. The prehistory of such applications (in the work of Husserl, the Gestaltists, of Kurt Lewin and of J. J. Gibson) will be sketched, together with an indication of the field of possibilities in (...) linguistics, perceptual psychology, cate¬gorization and geographic information systems. Topological structures will be shown to play a central role in studies of naive physics not least in virtue of the fact that even well-attested departures from true physics on the part of common sense leave the topology and vectorial orientation of the underlying physical phenomena invariant: our common sense would thus seem to have a veridical grasp of the topology and broad general orientation of physical phenomena, both static and dynamic, even where it illegitimately modifies the relevant shape and metric properties. The implications of this and related insights for the methodology of psychology will be explored. (shrink)

A rough categorization of issues in the field of Technology and Society Studies is provided and the kinds of values and value issues under discussion are examined. It is argued that value theory is not sufficiently well-developed to address some of the value issues that arise. Three approaches to values with which the author disagrees are discussed: the atomistic view of values; the ordinary language approach; and, an approach the author calls the "rationality approach". Under the latter, an analysis of (...) value offered by Kurt Baier in "Fact and Value" is criticized. (shrink)

Psychologists of my generation will recognize the implicit reference in my title immediately: to Kurt Lewin's classic paper that introduced most of us to the excitement of his ideas when we read it as the initial chapter of A Dynamic Theory of Personality . When Lewin wrote about "The Conflict Between Aristotelian and Galilean Modes of Thought in Contemporary Psychology" over a half a century ago, it was indeed a breath of fresh air. Along with a very few other (...) books and papers, it stands out saliently in my memory as having had a large part in forming my enduring perspective in psychology. It surely played a similar role for many others, by no means just Lewinians. We cannot readily recall its content since we've absorbed it, and built it into the fabric of our thought. I turn back to Lewin's essay because it represents the psysicalist tradition in psychological theory at its best, free of many faults that tainted the behavioristic expressions of positivism. All the same, the hermeneutic and contextualist critique of positivism should leave us dissatisfied with Lewin's version of a Galilean strategy for psychology. In one respect, thus, I am using this occasion for my own "me-too" endorsement of post-positivist theorizing. My second concern here is to focus attention on the need for a culturally and historically contextualized approach in personality theory. Finally, this occasion lets me talk some sense about post-positivist perspectives in psychology. As usual, the conceptual innovators have not been very reasonable. If a contextualized psychology of persons is to be advanced, we need a more plausible version of contextualism than is being argued by the leading polemicists. This is also an effort, therefore, to domesticate a contextualized approach, to accommodate it to its prospective role of defining a new mainstream of theorizing at the softer, more human end of the psychological spectrum. 2012 APA, all rights reserved). (shrink)