Formal systems are standardly envisaged in terms of a grammar specifying well-formed formulae together with a set of axioms and rules. Derivations are ordered lists of formulae each of which is either an axiom or is generated from earlier items on the list by means of the rules of the system; the theorems of a formal system are simply those formulae for which there are derivations. Here we outline a set of alternative and explicitly visual ways of envisaging and analyzing (...) at least simple formal systems using fractal patterns of infinite depth. Progressively deeper dimensions of such a fractal can be used to map increasingly complex wffs or increasingly complex 'value spaces', with tautologies, contradictions, and various forms of contingency coded in terms of color. This and related approaches, it turns out, offer not only visually immediate and geometrically intriguing representations of formal systems as a whole but also promising formal links (1) between standard systems and classical patterns in fractal geometry, (2) between quite different kinds of value spaces in classical and infinite-valued logics, and (3) between cellular automata and logic. It is hoped that pattern analysis of this kind may open possibilities for a geometrical approach to further questions within logic and metalogic. (shrink)

Much innovation has taken place in the development of medical schools and licensure exam processes across the African continent. Still, little attention has been paid to education that enables the multidisciplinary, critical thinking needed to understand and help shape the larger social systems in which health care is delivered. Although more than half of medical schools in Canada, the United Kingdom, and the United States offer at least one medical humanities course, this is less common in Africa. We report on (...) the “liberal arts approach” to medical curricula undertaken by the University of Global Health Equity beginning in 2019. The first six-month semester of the curriculum, called Foundations in Social Medicine, includes courses in critical thinking and communication, African history and global political economy, medical anthropology and social medicine, psychology and health, gender and social justice, information technology and health, and community-based training. Additionally, an inquiry-based pedagogy with relatively small classes is featured within an overall institutional culture that emphasizes health equity. We identify key competencies for physicians interested in pursuing global health equity and how such competencies relate to liberal arts integration into the African medical school curriculum and pedagogical approach. We conclude with a call for a research agenda that can better evaluate the impact of such innovations on physicians’ education and subsequent practices. (shrink)

Zeno's paradoxes of motion and the semantic paradoxes of the Liar have long been thought to have metaphorical affinities. There are, in fact, isomorphisms between variations of Zeno's paradoxes and variations of the Liar paradox in infinite-valued logic. Representing these paradoxes in dynamical systems theory reveals fractal images and provides other geometric ways of visualizing and conceptualizing the paradoxes.

The goal of philosophy of information is to understand what information is, how it operates, and how to put it to work. But unlike ‘information’ in the technical sense of information theory, what we are interested in is meaningful information. To understand the nature and dynamics of information in this sense we have to understand meaning. What we offer here are simple computational models that show emergence of meaning and information transfer in randomized arrays of neural nets. These we take (...) to be formal instantiations of a tradition of theories of meaning as use. What they offer, we propose, is a glimpse into the origin and dynamics of at least simple forms of meaning and information transfer as properties inherent in behavioral coordination across a community. (shrink)

This book is an introduction, entirely by example, to the possibilities of using computer models as tools in phosophical research in general and in philosophical logic in particular. Topics include chaos, fractals, and the semantics of paradox; epistemic dynamics; fractal images of formal systems; the evolution of generosity; real-valued game theory; and computation and undecidability in the spatialized Prisoner's Dilemma.

We work with a large spatialized array of individuals in an environment of drifting food sources and predators. The behavior of each individual is generated by its simple neural net; individuals are capable of making one of two sounds and are capable of responding to sounds from their immediate neighbors by opening their mouths or hiding. An individual whose mouth is open in the presence of food is “fed” and gains points; an individual who fails to hide when a predator (...) is present is “hurt” by losing points. Opening mouths, hiding, and making sounds each exact an energy cost. There is no direct evolutionary gain for acts of cooperation or “successful communication” per se. In such an environment we start with a spatialized array of neural nets with randomized weights. Using standard learning algorithms, our individuals “train up” on the behavior of successful neighbors at regular intervals. Given that simple setup, will a community of neural nets evolve a simple language for signaling the presence of food and predators? With important qualifications, the answer is “yes.” In a simple spatial environment, pursuing individualistic gains and using partial training on successful neighbors, randomized neural nets can learn to communicate. (shrink)

This paper supersedes an ealier version, entitled "A Non-Standard Semantics for Inexact Knowledge with Introspection", which appeared in the Proceedings of "Rationality and Knowledge". The definition of token semantics, in particular, has been modified, both for the single- and the multi-agent case.

Forthcoming in S. Artemov and R. Parikh, Proceedings of the ESSLLI 2006 Workshop on Rationality and Knowledge.

Version of March 05, 2007. An extended abstract of the paper appeared in the Proceedings of the 2006 Prague Colloquium on "Reasoning about Vagueness and Uncertainty".

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain (...) in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

Three‐ to 4‐month‐old infants show asymmetric exclusivity in the acquisition of cat and dog perceptual categories. The cat perceptual category excludes dog exemplars, but the dog perceptual category does not exclude cat exemplars. We describe a connectionist autoencoder model of perceptual categorization that shows the same asymmetries as infants. The model predicts the presence of asymmetric retroactive interference when infants acquire cat and dog categories sequentially. A subsequent experiment conducted with 3‐ to 4‐month‐olds verifies the predicted pattern of looking time (...) behaviors. We argue that bottom‐up, associative learning systems with distributed representations are appropriate for modeling the operation of short‐term visual memory in early perceptual category learning. (shrink)

In this paper we compare different models of vagueness viewed as a specific form of subjective uncertainty in situations of imperfect discrimination. Our focus is on the logic of the operator “clearly” and on the problem of higher-order vagueness. We first examine the consequences of the notion of intransitivity of indiscriminability for higher-order vagueness, and compare several accounts of vagueness as inexact or imprecise knowledge, namely Williamson’s margin for error semantics, Halpern’s two-dimensional semantics, and the system we call Centered semantics. (...) We then propose a semantics of degrees of clarity, inspired from the signal detection theory model, and outline a view of higher-order vagueness in which the notions of subjective clarity and unclarity are handled asymmetrically at higher orders, namely such that the clarity of clarity is compatible with the unclarity of unclarity. (shrink)

Human adults appear different from other animals in their ability to form abstract mental representations that go beyond perceptual similarity. In short, they can conceptualize the world. This book brings together leading psychologists and neuroscientists to tackle the age-old puzzle of what might be unique about human concepts.

Diffusion theory explains in physical terms how materials move through a medium, e.g. water or a biological fluid. There are strong and widely acknowledged grounds for doubting the applicability of this theory in biology, although it continues to be accepted almost uncritically and taught as a basis of both biology and medicine. Our principal aim is to explore how this situation arose and has been allowed to continue seemingly unchallenged for more than 150 years. The main shortcomings of diffusion theory (...) will be briefly reviewed to show that the entrenchment of this theory in the corpus of biological knowledge needs to be explained, especially as there are equally valid historical grounds for presuming that bulk fluid movement powered by the energy of cell metabolism plays a prominent note in the transport of molecules in the living body. First, the theory's evolution, notably from its origins in connection with the mechanistic materialist philosophy of mid nineteenth century physiology, is discussed. Following this, the entrenchment of the theory in twentieth century biology is analyzed in relation to three situations: the mechanism of oxygen transport between air and mammalian tissues; the structure and function of cell membranes; and the nature of the intermediary metabolism, with its implicit presumptions about the intracellular organization and the movement of molecules within it. In our final section, we consider several historically based alternatives to diffusion theory, all of which have their precursors in nineteenth and twentieth century philosophy of science. (shrink)

For many years, biology was largely descriptive (natural history), but with its emergence as a scientific discipline in its own right, a reductionist approach began, which has failed to be matched by adequate understanding of function of cells, organisms and species as whole entities. Every effort was made to explain biological phenomena in physico-chemical terms.It is argued that there is and always has been a clear distinction between life sciences and physical sciences, explicit in the use of the word biology. (...) If this distinction is real, it implies that biological phenomena can never be entirely satisfactorily explained in terms of extant physicochemical laws. One notable manifestation of this is that living organisms appear to -- actually do -- behave in purposeful ways, and the inanimate universe does not. While this fundamental difference continues to be suppressed, the purposiveness (or teleology) which pervades biology remains anathema to almost all scientists (including most biologists) even to the present day. We argue here that it can, however, become a perfectly tenable position when the Theory of Natural Selection is accepted as the main foundation, the essential tenet, of biology that distinguishes it from the realm of physical sciences. In accepting this position, it remains quite legitimate to expect that in many but not all circumstances, extant physical laws (and presumably others still to be discovered) are in no way breached by biological systems, which cannot be otherwise since all organisms are composed of physical material. (shrink)

For [Formula: see text], the coarse similarity class of [Formula: see text], denoted by [Formula: see text], is the set of all [Formula: see text] such that the symmetric difference of [Formula: see text] and [Formula: see text] has asymptotic density [Formula: see text]. There is a natural metric [Formula: see text] on the space [Formula: see text] of coarse similarity classes defined by letting [Formula: see text] be the upper density of the symmetric difference of [Formula: see text] and (...) [Formula: see text]. We study the metric space of coarse similarity classes under this metric, and show in particular that between any two distinct points in this space there are continuum many geodesic paths. We also study subspaces of the form [Formula: see text] where [Formula: see text] is closed under Turing equivalence, and show that there is a tight connection between topological properties of such a space and computability-theoretic properties of [Formula: see text]. We then define a distance between Turing degrees based on Hausdorff distance in the metric space [Formula: see text]. We adapt a proof of Monin to show that the Hausdorff distances between Turing degrees that occur are exactly [Formula: see text], [Formula: see text], and [Formula: see text], and study which of these values occur most frequently in the senses of Lebesgue measure and Baire category. We define a degree [Formula: see text] to be attractive if the class of all degrees at distance [Formula: see text] from [Formula: see text] has measure [Formula: see text], and dispersive otherwise. In particular, we study the distribution of attractive and dispersive degrees. We also study some properties of the metric space of Turing degrees under this Hausdorff distance, in particular the question of which countable metric spaces are isometrically embeddable in it, giving a graph-theoretic sufficient condition for embeddability. Motivated by a couple of issues arising in the above work, we also study the computability-theoretic and reverse-mathematical aspects of a Ramsey-theoretic theorem due to Mycielski, which in particular implies that there is a perfect set whose elements are mutually [Formula: see text]-random, as well as a perfect set whose elements are mutually [Formula: see text]-generic. Finally, we study the completeness of [Formula: see text] from the perspectives of computability theory and reverse mathematics. (shrink)

Axiomatic and problematic approaches to ontology are discussed, at first in relation to the work of Badiou and Deleuze in mathematics. This discussion is then broadened focussing on problematics in Deleuze and Guattari’s critiques of capitalism and psychoanalysis which results in an analysis of the implications of this discussion for education. From this, education as being already there, which is an assumption in some strands of philosophy of education, following Deleuze’s critique of axiomatic presentations of ontological identities, is described as (...) a repressive, stabilizing operation, which produces objectives which are characterized as peculiar things. By contrast, those aspects of practice, knowledge, behaviours and populations which cannot be accommodated and resolved by axiomatic formulae and fall from axiomatic systems are characterized as queer things that constitute counter cultures. (shrink)

‘Pupil voice’ is a movement within state education in England that is associated with democracy, change, participation and the raising of educational standards. While receiving much attention from educators and policy makers, less attention has been paid to the theory behind the concept of pupil voice. An obvious point of theoretical departure is the work of Jürgen Habermas, who over a number of decades has endeavoured to develop a theory of democracy that places strong significance on language, communication and discourse. (...) This paper is an attempt to gauge the usefulness of Habermas’ approach to understanding the theory of pupil voice, in particular how his theory of universal pragmatics lends itself to a ‘philosophy of between’, a philosophy that finds echoes in the conflicted nature of schooling that ‘pupil voice’ is supposed to rectify to some extent. The paper also explores the drawbacks of a Habermasian approach, in particular his overreliance on rationality as a way of understanding communication. Lacan’s concept of the objet petit a is introduced as an alternative way of understanding pupil voice. (shrink)

Whilst previous observational studies have linked negative thought processes such as an external locus of control and holding negative cognitive styles with depression, the directionality of these associations and the potential role that these factors play in the transition to adulthood and parenthood has not yet been investigated. This study examined the association between locus of control and negative cognitive styles in adolescence and probable depression in young adulthood and whether parenthood moderated these associations. Using a UK prospective population-based birth (...) cohort study: the Avon Longitudinal Study of Parents and Children, we examined the association between external locus of control and negative cognitive styles in adolescence with odds of depression in 4,301 young adults using logistic regression models unadjusted and adjusted for potential confounding factors. Interaction terms were employed to examine whether parenthood moderated these associations. Over 20% of young adults in our sample were at or above the clinical threshold indicating probable depression. For each standard deviation increase in external locus of control in adolescence, there was a 19% higher odds of having probable depression in young adulthood, after adjusting for various confounding factors including baseline mood and different demographic and life events variables. Similarly, for each SD increase in negative cognitive styles in adolescence, there was a 29% higher odds of having probable depression in the adjusted model. We found little evidence that parenthood status moderated the relationship between external locus of control or negative cognitive styles in adolescence and probable depression following adjustment for confounding factors. Effect estimates were comparable when performed in the complete case dataset. These findings suggest that having an external locus of control and holding negative cognitive styles in mid- to late adolescence is associated with an increased likelihood of probable depression in young adulthood. (shrink)

Evolution - both the fact that it occurred and the theory describing the mechanisms by which it occurred - is an intrinsic and central component in modern biology. Theodosius Dobzhansky captures this well in the much-quoted title of his 1973 paper 'Nothing in biology makes sense except in the light of evolution'. The correctness of this assertion is even more obvious today: philosophers of biology and biologists agree that the fact of evolution is undeniable and that the theory of evolution (...) explains that fact. Such a theory has far-reaching implications. In this volume, eleven distinguished scholars address the conceptual, metaphysical and epistemological richness of the theory and its ethical and religious impact, exploring topics including DNA barcoding, three grand challenges of human evolution, functionalism, historicity, design, evolution and development, and religion and secular humanism. The volume will be of great interest to those studying philosophy of biology and evolutionary biology. (shrink)

Les travaux du Comité public de suivi Le comité a été créé le 12 avril 2016. À cette occasion, il a annoncé le dépôt d’un rapport de suivi à l’occasion du premier anniversaire du dépôt du rapport de la Commission Charbonneau. Dans les derniers mois, le comité s’est penché sur les initiatives répondant aux recommandations de la Commission, en étudiant les informations rendues publiques sur ce sujet. Aidé d’une équipe...

Michael A. PetersBeijing Normal UniversityMy deepest condolences to Pepe, Dom and Marcus and to Jim’s grandchildren. Tina and I spent a lot of time at the Marshall family home, often attending dinn...

Educating the Virtues David Carr Routledge, 1991. Pp. 304. ISBN 0?415?05746?9. £35. The Philosophical Theology of St Thomas Aquinas By Leo J. Elders E. J. Brill, 1990. Pp. 332. ISBN 0?04?09156?4. $74.36. The State and Justice: An Essay in Political Theory By Milton Fisk Cambridge University Press, 1990. Pp. x + 391. ISBN 0?521?38966?6. £10.95 pbk. Perspectives on Language and Thought: Interrelations in Development Edited by S. A. Gelman and J. P. Byrnes Cambridge University Press, 1992. Pp. xii + 524. (...) ISBN 0?521?37497?9. £50. Aristotle's First Principles By T. H. Irwin Oxford University Press, 1989. Pp. xviii + 702. ISBN 0?198?24717?6. £17.50 Pbk. Truth and Eros: Foucault, Lacan, and the Question of Ethics By John Rajchman Routledge, 1991. Pp. 155. ISBN 0?415?90380?7. £10.99. Logical Forms By Mark Sainsbury Blackwell, 1991. Pp. 408. ISBN 0?631?17777?9. £11.95. Form and Transformation. A Study in the Philosophy of Plotinus By Frederic M. Schroeder McGill?Queen's University Press, 1992. Pp. xiv + 136. ISBN 0?7735?1016?8. £34.95. Did The Greeks Believe Their Myths? An Essay on the Constitutive Imagination By Paul Veyne, translated by Paula Wissing The University of Chicago Press, 1988. Pp. 161. ISBN 0?226?85434?5. £8.75 Pbk. What is Philosophy? By Dietrich von Hildebrand Routledge, 1991. Pp. lvii + 242. ISBN 0?415?02584?2. £12.99. (shrink)

The 17 original essays of this volume explore the relevance of the phenomenological approach to contemporary debates concerning the role of embodiment in our cognitive, emotional and practical life. The papers demonstrate the theoretical vitality and critical potential of the phenomenological tradition both through critically engagement with other disciplines (medical anthropology, psychoanalysis, psychiatry, the cognitive sciences) and through the articulation of novel interpretations of classical works in the tradition, in particular the works of Edmund Husserl, Maurice Merleau-Ponty and Jean-Paul (...) Sartre. The concrete phenomena analyzed in this book include: chronic pain, anorexia, melancholia and depression. (shrink)

In _ Plato's Camera_, eminent philosopher Paul Churchland offers a novel account of how the brain constructs a representation -- or "takes a picture" -- of the universe's timeless categorical and dynamical structure. This construction process, which begins at birth, yields the enduring background conceptual framework with which we will interpret our sensory experience for the rest of our lives. But, as even Plato knew, to make singular perceptual judgments requires that we possess an antecedent framework of abstract categories (...) to which any perceived particular can be relevantly assimilated. How that background framework is assembled in the first place is the motivating mystery, and the primary target, of Churchland's book. Unexpectedly, this neurobiologically grounded account of human cognition also provides a systematic story of how such low-level epistemological activities are integrated within an enveloping framework of linguistic structures and regulatory mechanisms at the social level. As Churchland illustrates, this integration of cognitive mechanisms at several levels has launched the human race on an epistemological adventure denied to all other terrestrial creatures. (shrink)

Paul Boghossian defends a meaning‐based approach to the apriority of the propositions of logic. His model is based on the idea that the logical constants are implicitly defined by some of the axioms and inference rules in which they are involved, thereby offering an alternative to those theories that deny that grasp of meaning can contribute to the explanation of a thinker's entitlement to a particular type of transition or belief.

In _ Plato's Camera_, eminent philosopher Paul Churchland offers a novel account of how the brain constructs a representation -- or "takes a picture" -- of the universe's timeless categorical and dynamical structure. This construction process, which begins at birth, yields the enduring background conceptual framework with which we will interpret our sensory experience for the rest of our lives. But, as even Plato knew, to make singular perceptual judgments requires that we possess an antecedent framework of abstract categories (...) to which any perceived particular can be relevantly assimilated. How that background framework is assembled in the first place is the motivating mystery, and the primary target, of Churchland's book. Unexpectedly, this neurobiologically grounded account of human cognition also provides a systematic story of how such low-level epistemological activities are integrated within an enveloping framework of linguistic structures and regulatory mechanisms at the social level. As Churchland illustrates, this integration of cognitive mechanisms at several levels has launched the human race on an epistemological adventure denied to all other terrestrial creatures. (shrink)

Standard responses to the knowledge argument grant that Mary could know all of the physical facts even while trapped inside her black‐and‐white room. What they deny is that upon leaving her black‐and‐white room and experiencing red for the first time, Mary learns a genuinely new fact. This paper develops an alternate response in a grounding physicalist framework, on which Mary does not know all of the physical facts while trapped inside the room. The main thesis is that Mary does not (...) know certain phenomenal facts while trapped inside the room, whereby these facts classify as physical due to being wholly and fully metaphysically grounded in the underlying fundamental facts which are themselves entirely physical. (shrink)

(2013). Heidegger, Wittgenstein and St Paul on the Last Judgement: On the Roots and Significance of ‘The Theoretical Attitude’. British Journal for the History of Philosophy: Vol. 21, No. 1, pp. 143-164. doi: 10.1080/09608788.2012.686980.

L’auteur revisite certains textes de Paul Ricœur publiés entre 1960 et 1992, afin d’exposer le rapport de cette philosophie avec la théologie chrétienne. Il interroge le statut de la théologie spéculative, dévolu par cette pensée, qui accorde un certain privilège à la théologie herméneutique et à la théologie politique.