In the Western tradition, at least since the 14th century, the philosophy of knowledge has been built around the idea of knowledge as a representation [Boulnois 1999]. The question of the evaluation of knowledge refers at the same time (1) to the object represented (which one does one represent?), (2) to the process of knowledge formation, in particular with the role of the knowing subject (which one does one represent and how does one represent it?), and finally (3) to the (...) relationship between the representation and the represented object. Criteria of evaluation such as “validity”, “adequacy” or “truth”, as mentioned in chapter 4, make sense only with respect to these three dimensions. An evaluation can thus (1) depend on the ontological nature of the object of knowledge, (2) relate to the relationship between subject and object—including the structures (cognitive, social) which organize this relationship, or (3) relate to the relation of similarity between the object and its representation as well. The relevant criteria of evaluation thus depend on the points of view adopted on these questions. As there are indeed a plurality of points of view in this field, the goal of this appendix is to summarize, as briefly as possible, the various positions adopted by the philosophers and to refer to the relevant texts of reference for more information. The first section introduces useful discussions about the philosophy of theoretical knowledge and general epistemology, from a quasi-historical perspective. Section two discusses the intermediary but central notion of models. Section three, more exploratory, intro-duces an approach to simulation as “concrete experiment”. It suggests that such a frequent claim in the literature, when precisely evaluated, can, to some extent, renew both the representational and the linguistic views on simulation. (shrink)

In the Western tradition, at least since the 14th century, the philosophy of knowledge has been built around the idea of knowledge as a representation [BOU 99]. The question of the evaluation of knowledge refers at the same time (1) to the object represented (which one does one represent?), (2) to the process of knowledge formation, in particular with the role of the knowing subject (which one does one represent and how does one represent it?), and finally (3) to the (...) relationship between the representation and the represented object. Criteria of evaluation such as “validity”, “adequacy” or “truth”, as mentioned in [AMB 07], make sense only with respect to these three dimensions. An evaluation can thus (1) depend on the ontological nature of the object of knowledge, (2) relate to the relationship between subject and object—including the structures (cognitive, social) which organize this relationship, or (3) relate to the relation of similarity between the object and its representation as well. The relevant criteria of evaluation thus depend on the points of view adopted on these questions. As there are indeed a plurality of points of view in this field, the goal of this appendix is to summarize, as briefly as possible, the various positions adopted by the philosophers and to refer to the relevant texts of reference for more information (for a first outline [CHA 76, SCH 01]). The first section 1 introduces useful discussions about the philosophy of theoretical knowledge and general epistemology, from a quasi-historical perspective. Section two 2 discusses the intermediary but central notion of models. Section three 3, more exploratory, introduces an approach to simulation as “concrete experiment”. It suggests that such a frequent claim in the literature, when precisely evaluated, can, to some extent, renew both the representational and the linguistic views on simulation. (shrink)

Drawing on Françoise Dastur’s suggestion that the event is a permanent possibility that shapes lived experience, but also, when it occurs, a distinctive temporal rupture, I argue that the initial weeks of the COVID-19 epidemic constitute an event, in her sense. Connecting this phenomenological point to literatures on the politics of temporality, I suggest that the distinction between event and normal experience maps to that between epidemic and endemic. Understanding some of the political and ethical erasures of death (...) and debility in COVID times can thus be mutually informed by phenomenological analysis. (shrink)

Henry More est le plus connu des Platoniciens de Cambridge et l’Enchiridion Metaphysicum, son dernier ouvrage, représente l’accomplissement de sa pensée. Il s’agit d’une enquête métaphysique dont le principal objectif est d’établir l’existence d’une substance immatérielle, d’une âme du monde, sorte d’intermédiaire entre Dieu et le monde par laquelle les choses agissent. More nous invite ainsi à découvrir la vraie métaphysique qui consiste en la découverte de la nature véritable de l’étendue des êtres spirituels comme Dieu, les anges et les (...) démons, l’espace, les âmes individuelles des hommes ou des bêtes. Ce manuel de métaphysique prend appui sur le mécanisme cartésien pour mieux le contredire et démontre que l’extension spirituelle est la principale qualité des esprits. Cette doctrine conduira More à re-diviniser l’espace pour l’instituer à l’instar des kabbalistes de l’école de Safed, comme lieu de la possibilité de l’existence du monde. More montre ainsi les limites des mécanismes d’Hobbes et de Descartes tout en essayant de composer avec d’autres savants mécanistes tels que Robert Boyle et Robert Hooke. Quelques années plus tard, à Cambridge, Newton, sur les pas d’Henry More, pensera la nature de son espace physique comme un espace de nature divine, comme un Sensorium Dei. ---------------------------------------------------------------------------------------------------- ------------- Biographie de l'auteur: Françoise Monnoyeur est Docent en philosophie (Associate Professor). Elle enseigne la philosophie et l’histoire des sciences en France, aux États-Unis et en Suède. Elle est chercheur associée au centre Jean Pépin, Paris, France. Ses principaux ouvrages portent sur Descartes, l’infini, la matière, la vie. (shrink)

In their book on Descartes’s Changing Mind, Peter Machamer and J. E. McGuire argue that Descartes discarded dualism to embrace a kind of monism. Descartes famously proposed that there are two separate substances, mind and body, with distinct attributes of thought and extension. According to Machamer and McGuire, because of the limitations of our intellect, we cannot have insight into the nature of either substance. After reviewing their argument in some detail, I will argue that Descartes did not relinquish his (...) favorite doctrine but may have actually fooled himself about the nature of his dualism. It is my contention that the problem with Cartesian dualism stems from the definition of mind and body as substances and the role of their respective attributes—thought and extension—in the definition of substances. (shrink)

In book: Infini des mathématiciens, infini des philosophes, Edition: 1992, 1995, 1999, 2002, 2008, 2011 ebook, Chapter: Introduction, Publisher: Belin, Paris, Editors: F. Monnoyeur, pp.9-16.

This article analyzes the value of geometric models to understand matter with the examples of the Platonic model for the primary four elements (fire, air, water, and earth) and the models of carbon atomic structures in the new science of crystallography. How the geometry of these models is built in order to discover the properties of matter is explained: movement and stability for the primary elements, and hardness, softness and elasticity for the carbon atoms. These geometric models appear to have (...) a double quality: firstly, they exhibit visually the scientific properties of matter, and secondly they give us the possibility to visualize its whole nature. Geometrical models appear to be the expression of the mind in the understanding of physical matter. (shrink)

La querelle qui oppose la sémantique cognitive à la linguistique "orthodoxe" contemporaine: structuralisme et grammaire générative (Claude Vandeloise, ce numéro), éveille, en histoire des sciences du langage, des échos lointains mais familiers. Car, par bien des aspects, se trouve rappelée une querelle épistémologique ancienne de grande envergure, celle qui, dans l'Antiquité grecque, opposa les anomalistes aux analogistes, les anomalistes de l'école stoïcienne de Pergame aux analogistes de l'école aristotélicienne d'Alexandrie.

The Mathematical Imagination focuses on the role of mathematics and digital technologies in critical theory of culture. This book belongs to the history of ideas rather than to that of mathematics proper since it treats it on a metaphorical level to express phenomena of silence or discontinuity. In order to bring more readability and clarity to the non-specialist readers, I firstly present the essential concepts, background, and objectives of his book...

Descartes' philosophy contains an intriguing notion of the infinite, a concept labeled by the philosopher as indefinite. Even though Descartes clearly defined this term on several occasions in the correspondence with his contemporaries, as well as in his Principles of Philosophy, numerous problems about its meaning have arisen over the years. Most commentators reject the view that the indefinite could mean a real thing and, instead, identify it with an Aristotelian potential infinite. In the first part of this article, I (...) show why there is no numerical infinity in Cartesian mathematics, as such a concept would be inconsistent with the main fundamental attribute of numbers: to be comparable with each other. In the second part, I analyze the indefinite in the context of Descartes' mathematical physics. It is my contention that, even with no trace of infinite in his mathematics, Descartes does refer to an actual indefinite because of its application to the material world within the system of his physics. This fact underlines a discrepancy between his mathematics and physics of the infinite, but does not lead a difficulty in his mathematical physics. Thus, in Descartes' physics, the indefinite refers to an actual dimension of the world rather than to an Aristotelian mathematical potential infinity. In fact, Descartes establishes the reality and limitlessness of the extension of the cosmos and, by extension, the actual nature of his indefinite world. This indefinite has a physical dimension, even if it is not measurable. La filosofía de Descartes contiene una noción intrigante de lo infinito, un concepto nombrado por el filósofo como indefinido. Aunque en varias ocasiones Descartes definió claramente este término en su correspondencia con sus contemporáneos y en sus Principios de filosofía, han surgido muchos problemas acerca de su significado a lo largo de los años. La mayoría de comentaristas rechaza la idea de que indefinido podría significar una cosa real y, en cambio, la identifica con un infinito potencial aristotélico. En la primera parte de este artículo muestro por qué no hay infinito numérico en las matemáticas cartesianas, en la medida en que tal concepto sería inconsistente con el principal atributo fundamental de los números: ser comparables entre sí. En la segunda parte analizo lo indefinido en el contexto de la física matemática de Descartes. Mi argumento es que, aunque no hay rastro de infinito en sus matemáticas, Descartes se refiere a un indefinido real a causa de sus aplicaciones al mundo material dentro del sistema de su física. Este hecho subraya una discrepancia entre sus matemáticas y su física de lo infinito, pero no implica ninguna dificultad en su física matemática. Así pues, en la física de Descartes, lo indefinido se refiere a una dimensión real del mundo más que a una infinitud potencial matemática aristotélica. De hecho, Descartes establece la realidad e infinitud de la extensión del cosmos y, por extensión, la naturaleza real de su mundo indefinido. Esta indefinición tiene una dimensión física aunque no sea medible. (shrink)

Leibniz is well known for his formulation of the infinitesimal calculus. Nevertheless, the nature and logic of his discovery are seldom questioned: does it belong more to mathematics or metaphysics, and how is it connected to his physics? This book, composed of fourteen essays, investigates the nature and foundation of the calculus, its relationship to the physics of force and principle of continuity, and its overall method and metaphysics. The Leibnizian calculus is presented in its origin and context together with (...) its main contributors: Archimedes, Cavalieri, Wallis, Hobbes, Pascal, Huygens, Bernoulli, and Nieuwentijt. Many of us know and probably have used the Leibnizian formula: to .. (shrink)

This editorial introduces the Journal of Consciousness Studies special issue on "Animal Consciousness". The 15 contributors and co-editors answer the question "How should we study animal consciousness scientifically?" in 500 words or fewer.

When the benefits of surgery do not outweigh the harms or where they do not clearly do so, surgical interventions become morally contested. Cutting to the Core examines a number of such surgeries, including infant male circumcision and cutting the genitals of female children, the separation of conjoined twins, surgical sex assignment of intersex children and the surgical re-assignment of transsexuals, limb and face transplantation, cosmetic surgery, and placebo surgery.

Résumé – Nous nous intéressons à l’enseignement et l’apprentissage de l’infini en classe de mathématiques en considérant les différences et les relations entre infini potentiel et infini actuel. Nous présentons les principaux éléments de notre étude philosophique, épistémologique et didactique, ainsi que trois situations visant à conduire un travail explicite avec les élèves sur ces questions en début de lycée. ---------------------------------------------------------------------------------------------------- --------------------------------- Abstract – We are interested in the teaching and learning of infinite in mathematics class, taking into account the relations (...) between potential infinite and actual infinite. We report the main elements of our current philosophical, epistemological and didactical study; we also present three mathematical situations that we consider relevant for this purpose and to be explored with 10 and 11 grade students. (shrink)

In the literature seeking to explain concepts in terms of their point, talk of ‘the point’ of concepts remains under-theorised. I propose a typology of points which distinguishes practical, evaluative, animating, and inferential points. This allows us to resolve tensions such as that between the ambition of explanations in terms of the points of concepts to be informative and the claim that mastering concepts requires grasping their point; and it allows us to exploit connections between types of (...) points to understand why they come apart, and whether they do so for problematic ideological reasons or for benignly functional reasons. (shrink)

I have two objectives in this article. The first is methodological: I elaborate a minimal phenomenological method and attempt to show its importance in studies of infant behavior. The second objective is substantive: Applying the minimal phenomenological approach, combined with Meltzoff’s “like-me” developmental framework, I propose the hypothesis that infants learn the pointing gesture at least in part through imitation. I explain how developments in sensorimotor ability (posture, arm and hand control and coordination, and locomotion) in the first year of (...) life prepare the infant for acquiring the pointing gesture. The former may directly enable the latter by allowing the infant to experience its own body as being “like those” of others, thus allowing it to imitatively appropriate a broader range of adult behavior. My proposal emphasizes the embodiment of mind in the development of cognition, contrary to latent dualistic tendencies in some developmental literature. (shrink)

Recent work in philosophy and cognitive science shows that knowledge is the norm of our social practice of assertion, in the sense that an assertion should express knowledge. But why should an assertion express knowledge? I hypothesize that an assertion should express knowledge because the point of assertion is to transmit knowledge. I present evidence supporting this hypothesis.

I argue that it’s quite comprehensible to get upset about metaethical nihilism, to indulge what I call nihilistic despair. When we lose the objective moral or normative point of view, we lose the promise of luck-immune guidance and categorical importance, things many of us hope for. This is all quite Williams-friendly, but I reject his puzzling but suggestive remarks that nihilistic despair must be a self-pitying muddle. Finally, I argue that internalism about reasons is even more depressing than outright (...) nihilism, in one way at least. (shrink)

I argue that knowing and having points of view are fundamentally different epistemic states if we assume that having justified true beliefs is necessary for knowledge. Knowers necessarily possess justified true beliefs, but persons holding points of view may, for example, lack justification, have false beliefs, or both. I examine these differences and expose other crucial differentiating patterns between the structure of knowledge and points of view that make the latter more likely to lead to disagreements. I hypothesize that these (...) patterns remain invariant in alternative views of knowledge like contextualism as long as we preserve the classical structure. Yet there is much research to be done on the multiple and contrasting properties that emerge if we consider non‐classical analyses of knowledge and points of view. (shrink)

The normative mechanics of promising seem complex. The strength and content of promissory obligations, and the residual duties they entail upon being violated, have various prima facie surprising features. We give an account to explain these features. Promises have a point. The point of a promise to φ is a promise-independent reason to φ for the promisee’s sake. A promise turns this reason into a duty. This explains the mechanics of promises. And it grounds a nuanced picture of (...) immoral promises, an argument against promissory bare wrongings, and a constraint on theories of why we have promissory obligations at all. (shrink)

Cuneo and Shafer-Landau (2014) argued that there are moral conceptual truths that are substantive in content, what they called ‘moral fixed points’. I argue that insofar as we have some reason to postulate moral fixed points, we have equal reason to postulate epistemic fixed points (e.g. the factivity condition). To this effect, I show that the two basic reasons Cuneo and Shafer-Landau (2014) offer in support of moral fixed points naturally carry over to epistemic fixed points. In particular, epistemic fixed (...) points exhibit the four ‘marks’ of conceptual truths that they identify and can be utilized to address important challenges to epistemic realism. I conclude that insofar as we have some reason to postulate moral fixed points, we have equal reason to postulate epistemic fixed points. -/- . (shrink)

The definition of a point in geometry is primordial in order to understand the different elements of this branch of mathematics ( line, surface, solids…). This paper aims at shedding fresh light on the concept to demonstrate that it is related to another one named, here, the Primary Geometric Object; both concepts concur to understand the multiplicity of geometries and to provide hints as concerns a new understanding of some concepts in physics such as time, energy, mass….

I examine what the point of self-ownership might best be thought to be.

Publication Zero Point shows the results of a four-years inquiry into the concept of 'measurability'. The book encompasses thirty-eight pictureworks and a philosophical thought experiment. It invites the reader to contemplate and compile their personal 'zero point' as a portrait of God. -/- Measurability appears to be a problematic concept. The boundaries between fixed and fluid; between sharp and vague; between coloured and non-coloured; between love and hate. When does one state of affairs turn into the other? When (...) is something still measurable? And: is it essential for something to be measurable at all? -/- A single drinking glass was the starting point for transformational processes of photographic images into multi-layered pictureworks. Pictorial spaces that are variable and subject to chance in an experimental, unconscious method of choice, chance, inspiration, and demolition. The results of split, remodel, and repeat invite you to explore and contemplate the notions of space and time as a dimension, in which meaning remains something definitely unfinished, but in which measurability is crucial. After all, when there is nothing to hold on to, you have to choose a point of departure from which you can reorganise your life. -/- There are several ways to leaf through the book and engage in its content. Each of the thirty-eight pictureworks is accompanied by a philosophical caption. These captions are part of a larger philosophical deliberation of three countenances which together make a portrait of God. Each caption can be read separately next to the picturework. Each picturework can be enjoyed next to a specific caption. Another way to work with the captions is to read them within their larger con text: unfold the last page of the book, reflect, and search for cross-references next to any particular picturework. (shrink)

An intuitive and widely accepted view is that (a) beliefs aim at truth, (b) many citizens have stable and meaningful political beliefs, and (c) citizens choose to support political candidates or parties on the basis of their political beliefs. We argue that all three claims are false. First, we argue that political beliefs often differ from ordinary world-modelling beliefs because they do not aim at truth. Second, we draw on empirical evidence from political science and psychology to argue that most (...) people lack stable and meaningful political beliefs. Third, we claim that the true psychological basis for voting behavior is not an individual’s political beliefs but rather group identity. Along the way, we reflect on what this means for normative democratic theory. (shrink)

We show that any coherent complete partial order is obtainable as the fixed-point poset of the strong Kleene jump of a suitably chosen first-order ground model. This is a strengthening of Visser’s result that any finite ccpo is obtainable in this way. The same is true for the van Fraassen supervaluation jump, but not for the weak Kleene jump.

This essay provides a novel account of iterated epistemic states. The essay argues that states of epistemic determinacy might be secured by countenancing iterated epistemic states on the model of fixed points in the modal $\mu$-calculus. Despite the epistemic indeterminacy witnessed by the invalidation of modal axiom 4 in the sorites paradox -- i.e. the KK principle: $\square$$\phi$ $\rightarrow$ $\square$$\square$$\phi$ -- a hyperintensional epistemic $\mu$-automaton permits fixed points to entrain a principled means by which to iterate epistemic states and account (...) thereby for necessary conditions on self-knowledge. The hyperintensional epistemic $\mu$-calculus is applied to the iteration of the epistemic states of a single agent instead of the common knowledge of a group of agents, and is thus a novel contribution to the literature. (shrink)

I offer a novel two-stage reconstruction of Hume’s general-point-of-view account, modeled in part on his qualified-judges account in ‘Of the Standard of Taste.’ In particular, I argue that the general point of view needs to be jointly constructed by spectators who have sympathized with (at least some of) the agents in (at least some of) the actor’s circles of influence. The upshot of the account is two-fold. First, Hume’s later thought developed in such a way that it can (...) rectify the problems inherent in his Treatise account of the general point of view. Second, the proposed account provides the grounds for an adequate and well-motivated modest ideal observer theory of the standard of virtue. (shrink)

A “conceptual spaces” approach is used to formalize Aristotle’s main intuitions about time and change, and other ideas about temporal points of view. That approach has been used in earlier studies about points of view. Properties of entities are represented by locations in multidimensional conceptual spaces; and concepts of entities are identified with subsets or regions of conceptual spaces. The dimensions of the spaces, called “determinables”, are qualities in a very general sense. A temporal element is introduced by adding a (...) time variable to state functions that map entities into conceptual spaces. That way, states may have some permanency or stability around time instances. Following Aristotle’s intuitions, changes and events will not be necessarily instant phenomena, instead they could be processual and interval dependent. Change is defined relatively to the interval during which the change is taking place. Time intervals themselves are taken to represent points of view. To have a point of view is to look at the world as it is in the selected interval. Many important concepts are relativized to intervals, for instance change, events, identity, ontology, potentiality, etc. The definition of points of view as intervals allows to compare points of view in relation to all these concepts. The conceptual space approach has an immediate semantic and structural character, but it is tempting to develop also logics to describe them. A formal language is introduced to show how this could be done. (shrink)

The definition of a point in geometry is primordial in order to understand the different elements of this branch of mathematics ( line, surface, solids…). This paper aims at shedding fresh light on the concept to demonstrate that it is related to another one named, here, the Primary Geometric Object; both concepts concur to understand the multiplicity of geometries and to provide hints as concerns a new understanding of some concepts in physics such as time, energy, mass….

This paper examines the conservative point of view about distributive justice. The first section explains the methodology used to develop this point of view. The second section describes one conservative point of view and briefly provides empirical evidence that it reflects the viewpoint of many ordinary conservatives. The third section explains how this conservative view can ground objections to social safety net programs, using as examples the recent health reform legislation and more extensive proposals for a true (...) national health system. The fourth section sketches ways that non-conservative philosophers might try to refute those objections. Examining a conservative point of view leads to several important conclusions. One is that the conservative point of view is not properly represented in contemporary philosophical discussions. Another is that the conservative point of view cannot be refuted by appealing to existing egalitarian writings. A third is that if progressive philosophers such as myself want to address the conservative point of view, we must expand the range of issues that we discuss in contemporary political philosophy. Doing so is a vital task, because otherwise we ignore the political views held by as much as half the American population. (shrink)

Numerous evolutionary linguists have indicated that human pointing behaviour might be associated with the evolution of language. At an ontogenetic level, and in normal individuals, pointing develops spontaneously and the onset of human pointing precedes as well as facilitates phases in speech and language development. Phylogenetically, pointing behaviour might have preceded and facilitated the evolutionary origin of both gestural and vocal language. Contrary to wild non-human primates, captive and human-reared nonhuman primates also demonstrate pointing behaviour. In this article, we analyse (...) the debates on pointing and its role it might have played in language evolution from a meta-level. From within an Applied Evolutionary Epistemological approach, we examine how exactly we can determine whether pointing has been a unit, a level or a mechanism in language evolution. (shrink)

Why is it useful to talk and think about knowledge-how? Using Edward Craig’s discussion of the function of the concepts of knowledge and knowledge-how as a jumping off point, this paper argues that considering this question can offer us new angles on the debate about knowledge-how. We consider two candidate functions for the concept of knowledge-how: pooling capacities, and mutual reliance. Craig makes the case for pooling capacities, which connects knowledge-how to our need to pool practical capacities. I argue (...) that the evidence is much more equivocal. My suggested diagnosis is that the concept of knowledge-how plays both functions, meaning that the concept of knowledge-how is inconsistent, and that the debate about knowledge-how is at least partly a metalinguistic negotiation. In closing, I suggest a way to revise the philosophical concept of knowledge how. (shrink)

While it is known that Euclid’s five axioms include a proposition that a line consists at least of two points, modern geometry avoid consistently any discussion on the precise definition of point, line, etc. It is our aim to clarify one of notorious question in Euclidean geometry: how many points are there in a line segment? – from discrete-cellular space (DCS) viewpoint. In retrospect, it may offer an alternative of quantum gravity, i.e. by exploring discrete gravitational theories. To elucidate (...) our propositions, in the last section we will discuss some implications of discrete cellular-space model in several areas of interest: (a) cell biology, (b) cellular computing, (c) Maxwell equations, (d) low energy fusion, and (e) cosmology modelling. (shrink)

I show that the Lottery Paradox is just a version of the Sorites, and argue that this should modify our way of looking at the Paradox itself. In particular, I focus on what I call “the Cut-off Point Problem” and contend that this problem, well known by Sorites scholars, ought to play a key role in the debate on Kyburg’s puzzle. Very briefly, I show that, in the Lottery Paradox, the premises “ticket n°1 will lose”, “ticket n°2 will lose”… (...) “ticket n°1000 will lose” are equivalent to soritical premises of the form “~(the winning ticket is in {…, (tn)}) ⊃ ~(the winning ticket is in {…, tn, (tn + 1)})” (where “⊃” is the material conditional, “~” is the negation symbol, “tn” and “tn + 1” are “ticket n°n” and “ticket n°n + 1” respectively, and “{}” identify the elements of the lottery tickets’ set. The brackets in “(tn)” and “(tn + 1)” are meant to point out that in the antecedent of the conditional we do not always have a “tn” (and, as a result, a “tn + 1” in the consequent): consider the conditional “~(the winning ticket is in {}) ⊃ ~(the winning ticket is in {t1})”). As a result, failing to believe, for some ticket, that it will lose comes down to introducing a cut-off point in a chain of soritical premises. In this paper I explore the consequences of the different ways of blocking the Lottery Paradox with respect to the Cut-off Point Problem. A heap variant of the Lottery Paradox is especially relevant for evaluating the different solutions. One important result is that the most popular way out of the puzzle, i.e., denying the Lockean Thesis, becomes less attractive. Moreover, I show that, along with the debate on whether rational belief is closed under classical logic, the debate on the validity of modus ponens should play an important role in discussions on the Lottery Paradox. -/- . (shrink)

The semantic paradoxes are associated with self-reference or referential circularity. However, there are infinitary versions of the paradoxes, such as Yablo's paradox, that do not involve this form of circularity. It remains an open question what relations of reference between collections of sentences afford the structure necessary for paradoxicality -- these are the so-called "dangerous" directed graphs. Building on Rabern, et. al (2013) we reformulate this problem in terms of fixed points of certain functions, thereby boiling it down to get (...) a purely mathematical problem. (shrink)

The goal of this paper consists of developing a new (more physical and numerical in comparison with standard and non-standard analysis approaches) point of view on Calculus with functions assuming infinite and infinitesimal values. It uses recently introduced infinite and infinitesimal numbers being in accordance with the principle ‘The part is less than the whole’ observed in the physical world around us. These numbers have a strong practical advantage with respect to traditional approaches: they are representable at a new (...) kind of a computer – the Infinity Computer – able to work numerically with all of them. An introduction to the theory of physical and mathematical continuity and differentiation (including subdifferentials) for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains is developed in the paper. This theory allows one to work with derivatives that can assume not only finite but infinite and infinitesimal values, as well. It is emphasized that the newly introduced notion of the physical continuity allows one to see the same mathematical object as a continuous or a discrete one, in dependence on the wish of the researcher, i.e., as it happens in the physical world where the same object can be viewed as a continuous or a discrete in dependence on the instrument of the observation used by the researcher. Connections between pure mathematical concepts and their computational realizations are continuously emphasized through the text. Numerous examples are given. (shrink)

Artwork of astounding genius requires a spectator (and not just anyone will do!). The materialist magic worked by an artistic genius only affects others; each genius is impervious to their own magic. Diderot's thought is wonderful and really deserves wider attention (if any thought really does deserve attention ...): a masterpiece is incomplete without one who can appreciate it. -/- This is a talk presented (a few years ago) to an audience of nearly none at a conference. I only post (...) it in case there is anyone out there who enjoys Diderot, art, French, hardcore materialism and magic. (shrink)

According to luck egalitarianism, it is unjust if some are worse off than others through no fault or choice of their own. The most common criticism of luck egalitarianism is the ‘harshness objection’, which states that luck egalitarianism allows for too harsh consequences, as it fails to provide justification for why those responsible for their bad fate can be entitled to society's assistance. It has largely gone unnoticed that the harshness objection is open to a number of very different interpretations. (...) We present four different interpretations of the harshness objection in which the problem pertains to counterintuitive implications, badness of outcome, disproportionality, or inconsistency, respectively. We analyse and discuss appropriate luck egalitarian replies. Disentangling these different versions clarifies what is at the heart of this dispute and reveals the point of the harshness objection. We conclude that only the inconsistency version involves a durable problem for luck egalitarianism. (shrink)

Novels like Fight Club or American Psycho are said to be instances of unreliable narration: the first person narrator presents an evidently distorted picture of the fictional world. The film adaptations of these novels are likewise said to involve unreliable narration. I resist this extension of the term ‘unreliable narration’ to film. My argument for this rests on the observation that unreliable narration requires a personal narrator while film typically involves an impersonal narrator. The kind of ambiguous story-telling that we (...) find in literary fiction with unreliable narrators, where for certain descriptions it is unclear whether what we’re told is an accurate account of what’s happening in the story world or not, can instead be achieved by conventionalized filmmaking techniques for reporting the contents of mental states, like the point of view shot, but especially the more ambiguous blended perspective shot. (shrink)

Many readers of Kant’s ethical writings take him to be primarily concerned with offering guidelines for action. At the least, they write about Kant as if this were the purpose of his ethical writings. For example, Christine Korsgaard, in her influential article Kant’s Analysis of Obligation: The Argument of Groundwork I, writes that, ‘‘the argument of Groundwork I is an attempt to give what I call a ‘motivational analysis’ of the concept of a right action, in order to discover what (...) that concept applies to, that is, which actions are right.’’ Similar comments are not hard to find in the secondary literature. This, however, is a fundamentally misguided way of reading Kant, since he repeatedly asserts that we do not need to do moral philosophy in order to discover which actions are right. We already know how to behave morally and do not need philosophers to tell us this. ‘‘Common human reason,’’ Kant argues, ‘‘knows very well how to distinguish in every case that comes up what is good and what is evil, what is in conformity to duty or contrary to duty.’’ Because people with pre-philosophical understanding know how to act morally, the purpose of moral philosophy cannot be to provide us with a set of rules for correct behavior. If we take Kant’s claims about common human reason seriously, then his aim in the Groundwork of the Metaphysics of Morals cannot be to discover which actions are right. (shrink)