Results for 'Bradley C. Riemann'

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  1. Axioms, Definitions, and the Pragmatic a priori: Peirce and Dewey on the “Foundations” of Mathematical Science.Bradley C. Dart - 2024 - European Journal of Pragmatism and American Philosophy 16 (1).
    Peirce and Dewey were generally more concerned with the process of scientific activity than purely mathematical work. However, their accounts of knowledge production afford some insights into the epistemology of mathematical postulates, especially definition and axioms. Their rejection of rationalist metaphysics and their emphasis on continuity in inquiry provides the pretext for the pragmatic a priori – hypothetical and operational assumptions whose justification relies on their fruitfulness in the long run. This paper focuses on the application of this idea to (...)
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  2. Fairness and risk attitudes.Richard Bradley & Stefánsson H. Orri - 2023 - Philosophical Studies 180 (10-11):3179-3204.
    According to a common judgement, a social planner should often use a lottery to decide which of two people should receive a good. This judgement undermines one of the best-known arguments for utilitarianism, due to John C. Harsanyi, and more generally undermines axiomatic arguments for utilitarianism and similar views. In this paper we ask which combinations of views about (a) the social planner’s attitude to risk and inequality, and (b) the subjects’ attitudes to risk are consistent with the aforementioned judgement. (...)
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  3. Kant, Herbart and Riemann.Erik C. Banks - 2005 - Kant Studien 96 (2):208-234.
    A look at the dynamical concept of space and space-generating processes to be found in Kant, J.F. Herbart and the mathematician Bernhard Riemann's philosophical writings.
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  4. Extension and Measurement: A Constructivist Program from Leibniz to Grassmann.Erik C. Banks - 2013 - Studies in History and Philosophy of Science Part A 44 (1):20-31.
    Extension is probably the most general natural property. Is it a fundamental property? Leibniz claimed the answer was no, and that the structureless intuition of extension concealed more fundamental properties and relations. This paper follows Leibniz's program through Herbart and Riemann to Grassmann and uses Grassmann's algebra of points to build up levels of extensions algebraically. Finally, the connection between extension and measurement is considered.
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  5. Jean Wahl d'Angleterre et d'Amérique : contribution à l'étude du contexte et de la signification des Philosophies pluralistes.Mathias Girel - 2014 - Revue de Métaphysique et de Morale 81 (1):103.
    Je montre dans ce texte que la thèse de Jean Wahl sur les Pluralistes d'Angleterre et d'Amérique n'est pas tant un tableau des pensées pluralistes qu'une problématisation du pluralisme. La révélation que Wahl va trouver à rebours de certains textes de William James, c'est celle d'un restant moniste, attentif au fond non relationnel de l'expérience, ce qui va le conduire à explorer, beaucoup plus hardiment que nombre de ses contempo- rains, les proximités entre James et Bradley. Cette voix moniste, (...)
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  6. Origin and Resolution of Theory-Choice Situations in Modern Theory of gravity.Rinat M. Nugayev - 1987 - Methodology and Science 20 (4):177-197.
    A methodological model of origin and settlement of theory-choice situations (previously tried on the theories of Einstein and Lorentz in electrodynamics) is applied to modern Theory of Gravity. The process of origin and growth of empirically-equivalent relativistic theories of gravitation is theoretically reproduced. It is argued that all of them are proposed within the two rival research programmes – (1) metric (A. Einstein et al.) and (2) nonmetric (H. Poincare et al.). Each programme aims at elimination of the cross-contradiction between (...)
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  7. (Draft) In defence of welfare subjectivism.Benjamin Davies - manuscript
    Subjectivists about welfare face two problems that pull them in opposite directions. The Paradox Problem, outlined by Ben Bradley, is that, for an agent who desires that her life go badly, subjectivist theories are sometimes unable to give a determinate answer about how well her life goes. This problem demands that subjectivists choose a complex mental attitude to ground well-being. The Infant Problem, from Eden Lin, is that many subjective theories end up denying that infants (and some others) have (...)
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  8. A concept of progress for normative economics.Philippe Mongin - 2006 - Economics and Philosophy 22 (1):19-54.
    The paper discusses the sense in which the changes undergone by normative economics in the twentieth century can be said to be progressive. A simple criterion is proposed to decide whether a sequence of normative theories is progressive. This criterion is put to use on the historical transition from the new welfare economics to social choice theory. The paper reconstructs this classic case, and eventually concludes that the latter theory was progressive compared with the former. It also briefly comments on (...)
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  9. Les antinomies épistémologiques entre les réductionismes et les émergentismes.Donato Bergandi - 1998 - Revue Internationale de Systémique 12 (3):225-252.
    Résumé Le débat holisme-réductionnisme se structure autour de trois domaines sémantiques : l 'ontologie, la méthodologie et l'épistémologie. Généralement, une méthodologie analytique s'accompagne d'une ontologie atomiste et de la réduction des lois et théorie des niveaux d'organisation supérieurs aux lois et théorie des niveaux inférieurs. Par contre, une ontologie holiste, relationnelle peut s'accorder au concept d'émergence. En conséquence dans l'élaboration des lois et théories d'un phénomène appartenant à un niveau donné la prise en compte du niveau d'organisation supérieurs se révélera (...)
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  10. How to lose your memory without losing your money: shifty epistemology and Dutch strategies.Darren Bradley - 2024 - Synthese 203 (4):1-15.
    An objection to shifty epistemologies such as subject-sensitive invariantism is that it predicts that agents are susceptible to guaranteed losses. Bob Beddor (Analysis, 81, 193–198, 2021) argues that these guaranteed losses are not a symptom of irrationality, on the grounds that forgetful agents are susceptible to guaranteed losses without being irrational. I agree that forgetful agents are susceptible to guaranteed losses without being irrational– but when we investigate why, the analogy with shifty epistemology breaks down. I argue that agents with (...)
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  11. The Arrow of Time.Bradley H. Dowden - 2024 - Internet Encyclopedia of Philosophy.
    Many philosophers and scientists have claimed that time has an arrow that points in a special direction. The Roman poet Ovid may have referred to this one-way property of time when he said, “Time itself glides on with constant motion, ever as a flowing river.” However, understanding this arrow is not … Continue reading The Arrow of Time →.
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  12. AI Alignment vs. AI Ethical Treatment: Ten Challenges.Adam Bradley & Bradford Saad - manuscript
    A morally acceptable course of AI development should avoid two dangers: creating unaligned AI systems that pose a threat to humanity and mistreating AI systems that merit moral consideration in their own right. This paper argues these two dangers interact and that if we create AI systems that merit moral consideration, simultaneously avoiding both of these dangers would be extremely challenging. While our argument is straightforward and supported by a wide range of pretheoretical moral judgments, it has far-reaching moral implications (...)
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  13. Evolution at the Origins of Life?Ludo L. J. Schoenmakers, Thomas A. C. Reydon & Andreas Kirschning - 2024 - Life 14 (2).
    The role of evolutionary theory at the origin of life is an extensively debated topic. The origin and early development of life is usually separated into a prebiotic phase and a protocellular phase, ultimately leading to the Last Universal Common Ancestor. Most likely, the Last Universal Common Ancestor was subject to Darwinian evolution, but the question remains to what extent Darwinian evolution applies to the prebiotic and protocellular phases. In this review, we reflect on the current status of evolutionary theory (...)
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  14. Future progress in artificial intelligence: A survey of expert opinion.Vincent C. Müller & Nick Bostrom - 2016 - In Vincent C. Müller (ed.), Fundamental Issues of Artificial Intelligence. Cham: Springer. pp. 553-571.
    There is, in some quarters, concern about high–level machine intelligence and superintelligent AI coming up in a few decades, bringing with it significant risks for humanity. In other quarters, these issues are ignored or considered science fiction. We wanted to clarify what the distribution of opinions actually is, what probability the best experts currently assign to high–level machine intelligence coming up within a particular time–frame, which risks they see with that development, and how fast they see these developing. We thus (...)
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  15. The Metasemantics of Contextual Sensitivity.Jeffrey C. King - 2014 - In Alexis Burgess & Brett Sherman (eds.), Metasemantics: New Essays on the Foundations of Meaning. New York: Oxford University Press. pp. 97-118.
    Some contextually sensitive expressions are such that their context independent conventional meanings need to be in some way supplemented in context for the expressions to secure semantic values in those contexts. As we’ll see, it is not clear that there is a paradigm here, but ‘he’ used demonstratively is a clear example of such an expression. Call expressions of this sort supplementives in order to highlight the fact that their context independent meanings need to be supplemented in context for them (...)
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  16. Properties as Truthmakers.Bradley Rettler - 2024 - In Anna Sofia Maurin & Anthony Fisher (eds.), Routledge Handbook on Properties. pp. 38-47.
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  17. Is open-mindedness truth-conducive?B. J. C. Madison - 2019 - Synthese 196 (5):2075-2087.
    What makes an intellectual virtue a virtue? A straightforward and influential answer to this question has been given by virtue-reliabilists: a trait is a virtue only insofar as it is truth-conducive. In this paper I shall contend that recent arguments advanced by Jack Kwong in defence of the reliabilist view are good as far as they go, in that they advance the debate by usefully clarifying ways in how best to understand the nature of open-mindedness. But I shall argue that (...)
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  18. Autonomous killer robots are probably good news.Vincent C. Müller - 2016 - In Ezio Di Nucci & Filippo Santoni de Sio (eds.), Drones and Responsibility: Legal, Philosophical and Socio-Technical Perspectives on the Use of Remotely Controlled Weapons. Routledge. pp. 67-81.
    Will future lethal autonomous weapon systems (LAWS), or ‘killer robots’, be a threat to humanity? The European Parliament has called for a moratorium or ban of LAWS; the ‘Contracting Parties to the Geneva Convention at the United Nations’ are presently discussing such a ban, which is supported by the great majority of writers and campaigners on the issue. However, the main arguments in favour of a ban are unsound. LAWS do not support extrajudicial killings, they do not take responsibility away (...)
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  19. Naturalness as a Constraint on Priors.Darren Bradley - 2020 - Mind 129 (513):179-203.
    Many epistemological problems can be solved by the objective Bayesian view that there are rationality constraints on priors, that is, inductive probabilities. But attempts to work out these constraints have run into such serious problems that many have rejected objective Bayesianism altogether. I argue that the epistemologist should borrow the metaphysician’s concept of naturalness and assign higher priors to more natural hypotheses.
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  20. Frege and the Logic of Sense and Reference.Kevin C. Klement - 2001 - New York: Routledge.
    This book aims to develop certain aspects of Gottlob Frege’s theory of meaning, especially those relevant to intensional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege. (The approach is contrasted with the less historically-minded Logic of Sense and Denotation of Alonzo Church.) Comparisons of Frege’s theory with those of Russell and others (...)
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  21. Epistemic Value and the New Evil Demon.B. J. C. Madison - 2017 - Pacific Philosophical Quarterly 98 (1):89-107.
    In this article I argue that the value of epistemic justification cannot be adequately explained as being instrumental to truth. I intend to show that false belief, which is no means to truth, can nevertheless still be of epistemic value. This in turn will make a good prima facie case that justification is valuable for its own sake. If this is right, we will have also found reason to think that truth value monism is false: assuming that true belief does (...)
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  22. Internalism in the Epistemology of Testimony Redux.B. J. C. Madison - 2016 - Erkenntnis 81 (4):741-755.
    In general, epistemic internalists hold that an individual’s justification for a belief is exhausted by her reflectively accessible reasons for thinking that the contents of her beliefs are true. Applying this to the epistemology of testimony, a hearer’s justification for beliefs acquired through testimony is exhausted by her reflectively accessible reasons to think that the contents of the speaker’s testimony is true. A consequence of internalism is that subjects that are alike with respect to their reflectively accessible reasons are alike (...)
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  23. Inferentialism and cognitive penetration of perception.Jack C. Lyons - 2016 - Episteme 13 (1):1-28.
    Cognitive penetration of perception is the idea that what we see is influenced by such states as beliefs, expectations, and so on. A perceptual belief that results from cognitive penetration may be less justified than a nonpenetrated one. Inferentialism is a kind of internalist view that tries to account for this by claiming that some experiences are epistemically evaluable, on the basis of why the perceiver has that experience, and the familiar canons of good inference provide the appropriate standards by (...)
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  24. Ways of thinking about ways of being.Bradley Rettler - 2020 - Analysis 80 (4):712-722.
    Monism about being says that there is one way to be. Pluralism about being says that there are many ways to be. Recently, Trenton Merricks and David Builes have offered arguments against Pluralism. In this paper, I show how Pluralists who appeal to the relative naturalness of quantifiers can respond to these arguments.
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  25. Recursive predicates and quantifiers.S. C. Kleene - 1943 - Transactions of the American Mathematical Society 53:41-73.
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  26. The niche.Barry Smith & Achille C. Varzi - 1999 - Noûs 33 (2):214-238.
    The concept of niche (setting, context, habitat, environment) has been little studied by ontologists, in spite of its wide application in a variety of disciplines from evolutionary biology to economics. What follows is a first formal theory of this concept, a theory of the relations between objects and their niches. The theory builds upon existing work on mereology, topology, and the theory of spatial location as tools of formal ontology. It will be illustrated above all by means of simple biological (...)
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  27. New developments in the philosophy of AI.Vincent C. Müller - 2016 - In Vincent C. Müller (ed.), Fundamental Issues of Artificial Intelligence. Cham: Springer.
    The philosophy of AI has seen some changes, in particular: 1) AI moves away from cognitive science, and 2) the long term risks of AI now appear to be a worthy concern. In this context, the classical central concerns – such as the relation of cognition and computation, embodiment, intelligence & rationality, and information – will regain urgency.
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  28. Why we may not find intentions in the brain.Sebo Uithol, Daniel C. Burnston & Pim Haselager - 2014 - Neuropsychologia 56 (5):129-139.
    Intentions are commonly conceived of as discrete mental states that are the direct cause of actions. In the last several decades, neuroscientists have taken up the project of finding the neural implementation of intentions, and a number of areas have been posited as implementing these states. We argue, however, that the processes underlying action initiation and control are considerably more dynamic and context sensitive than the concept of intention can allow for. Therefore, adopting the notion of ‘intention’ in neuroscientific explanations (...)
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  29. You can’t always get what you want: Some considerations regarding conditional probabilities.Wayne C. Myrvold - 2015 - Erkenntnis 80 (3):573-603.
    The standard treatment of conditional probability leaves conditional probability undefined when the conditioning proposition has zero probability. Nonetheless, some find the option of extending the scope of conditional probability to include zero-probability conditions attractive or even compelling. This article reviews some of the pitfalls associated with this move, and concludes that, for the most part, probabilities conditional on zero-probability propositions are more trouble than they are worth.
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  30. Perdurantism, Universalism and Quantifiers.Achille C. Varzi - 2003 - Australasian Journal of Philosophy 81 (2):208-215.
    I argue that the conjunction of perdurantism (the view that objects are temporally extended) and universalism (the thesis that any old class of things has a mereological fusion) gives rise to undesired complications when combined with certain plausible assumptions concerning the semantics of tensed statements.
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  31. Perceptual Integration, Modularity, and Cognitive Penetration.Daniel C. Burnston & Jonathan Cohen - 2015 - In A. Raftopoulos & J. Zeimbekis (eds.), The Cognitive Penetrability of Perception: New Philosophical Perspectives. Oxford: Oxford University Press.
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  32. Wave Function Ontology.Bradley Monton - 2002 - Synthese 130 (2):265-277.
    I argue that the wave function ontology for quantum mechanics is an undesirable ontology. This ontology holds that the fundamental space in which entities evolve is not three-dimensional, but instead 3N-dimensional, where N is the number of particles standardly thought to exist in three-dimensional space. I show that the state of three-dimensional objects does not supervene on the state of objects in 3N-dimensional space. I also show that the only way to guarantee the existence of the appropriate mental states in (...)
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  33. Ought-contextualism and reasoning.Darren Bradley - 2021 - Synthese 199 (1-2):2977-2999.
    What does logic tells us how about we ought to reason? If P entails Q, and I believe P, should I believe Q? I will argue that we should embed the issue in an independently motivated contextualist semantics for ‘ought’, with parameters for a standard and set of propositions. With the contextualist machinery in hand, we can defend a strong principle expressing how agents ought to reason while accommodating conflicting intuitions. I then show how our judgments about blame and guidance (...)
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  34. Is There Propositional Understanding?Emma C. Gordon - 2012 - Logos and Episteme 3 (2):181-192.
    Literature in epistemology tends to suppose that there are three main types of understanding – propositional, atomistic, and objectual. By showing that all apparent instances of propositional understanding can be more plausibly explained as featuring one of several other epistemic states, this paper argues that talk of propositional understanding is unhelpful and misleading. The upshot is that epistemologists can do without the notion of propositional understanding.
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  35. Experiential evidence?Jack C. Lyons - 2015 - Philosophical Studies 173 (4):1053-1079.
    Much of the intuitive appeal of evidentialism results from conflating two importantly different conceptions of evidence. This is most clear in the case of perceptual justification, where experience is able to provide evidence in one sense of the term, although not in the sense that the evidentialist requires. I argue this, in part, by relying on a reading of the Sellarsian dilemma that differs from the version standardly encountered in contemporary epistemology, one that is aimed initially at the epistemology of (...)
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  36. Perception and Intuition of Evaluative Properties.Jack C. Lyons - 2018 - In Anna Bergqvist & Robert Cowan (eds.), Evaluative Perception. Oxford, United Kingdom: Oxford University Press.
    Outside of philosophy, ‘intuition’ means something like ‘knowing without knowing how you know’. Intuition in this broad sense is an important epistemological category. I distinguish intuition from perception and perception from perceptual experience, in order to discuss the distinctive psychological and epistemological status of evaluative property attributions. Although it is doubtful that we perceptually experience many evaluative properties and also somewhat unlikely that we perceive many evaluative properties, it is highly plausible that we intuit many instances of evaluative properties as (...)
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  37. After Neofunctionalism: Action, Culture, and Civil Society.Jeffrey C. Alexander - 1998 - In Neofunctionalism and after. Malden, Mass.: Blackwell. pp. 210--33.
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  38.  96
    Sistema sanitario neuquino: atención de las mujeres mapuce en Las Coloradas.C. Rodríguez Garat - 2024 - Nuestro Noa 18:1-28.
    El objetivo de este artículo es realizar una historización del sistema sanitario de Neuquén, concretamente atendiendo a los programas de salud aplicados en esta provincia desde su surgimiento hasta el año 2020. En este marco, en primer lugar, me enfocaré en los lineamientos políticos que definieron las bases ideológicas de las políticas públicas llevadas a cabo en la atención sanitaria neuquina, y, en segundo lugar, examinaré las variables estadísticas publicadas por el sistema de salud provincial referidas a las condiciones materiales (...)
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  39. The Self and its Brain: An Argument for Interactionism.John C. Eccles & Karl Popper - 1977 - Routledge.
    The relation between body and mind is one of the oldest riddles that has puzzled mankind. That material and mental events may interact is accepted even by the law: our mental capacity to concentrate on the task can be seriously reduced by drugs. Physical and chemical processes may act upon the mind; and when we are writing a difficult letter, our mind acts upon our body and, through a chain of physical events, upon the mind of the recipient of the (...)
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  40. Models and minds.Stuart C. Shapiro & William J. Rapaport - 1991 - In Robert C. Cummins (ed.), Philosophy and AI: Essays at the Interface. Cambridge: MIT Press. pp. 215--259.
    Cognitive agents, whether human or computer, that engage in natural-language discourse and that have beliefs about the beliefs of other cognitive agents must be able to represent objects the way they believe them to be and the way they believe others believe them to be. They must be able to represent other cognitive agents both as objects of beliefs and as agents of beliefs. They must be able to represent their own beliefs, and they must be able to represent beliefs (...)
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  41. Why We Still Need Knowledge of Language.Barry C. Smith - 2006 - Croatian Journal of Philosophy 6 (3):431-456.
    In his latest book, Michael Devitt rejects Chomsky’s mentalist conception of linguistics. The case against Chomsky is based on two principal claims. First, that we can separate the study of linguistic competence from the study of its outputs: only the latter belongs to linguistic inquiry. Second, Chomsky’s account of a speaker’s competence as consisiting in the mental representation of rules of a grammar for his language is mistaken. I shall argue, first, that Devitt fails to make a case for separating (...)
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  42. Unencapsulated Modules and Perceptual Judgment.Jack C. Lyons - 2015 - In A. Raftopoulos J. Zeimbekis (ed.), Cognitive Penetrability. Oxford University Press. pp. 103-122.
    To what extent are cognitive capacities, especially perceptual capacities, informationally encapsulated and to what extent are they cognitively penetrable? And why does this matter? Two reasons we care about encapsulation/penetrability are: (a) encapsulation is sometimes held to be definitional of modularity, and (b) penetrability has epistemological implications independent of modularity. I argue that modularity does not require encapsulation; that modularity may have epistemological implications independently of encapsulation; and that the epistemological implications of the cognitive penetrability of perception are messier than (...)
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  43. Are the open-ended rules for negation categorical?Constantin C. Brîncuș - 2019 - Synthese 198 (8):7249-7256.
    Vann McGee has recently argued that Belnap’s criteria constrain the formal rules of classical natural deduction to uniquely determine the semantic values of the propositional logical connectives and quantifiers if the rules are taken to be open-ended, i.e., if they are truth-preserving within any mathematically possible extension of the original language. The main assumption of his argument is that for any class of models there is a mathematically possible language in which there is a sentence true in just those models. (...)
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  44. The General Truthmaker View of ontological commitment.Bradley Rettler - 2016 - Philosophical Studies 173 (5):1405-1425.
    In this paper, I articulate and argue for a new truthmaker view of ontological commitment, which I call the “General Truthmaker View”: when one affirms a sentence, one is ontologically committed to there being something that makes true the proposition expressed by the sentence. This view comes apart from Quinean orthodoxy in that we are not ontologically committed to the things over which we quantify, and it comes apart from extant truthmaker views of ontological commitment in that we are not (...)
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  45. Fiat and Bona Fide Boundaries: Towards an Ontology of Spatially Extended Objects.Barry Smith & Achille C. Varzi - 1997 - In Barry Smith & Achille C. Varzi (eds.), Fiat and Bona Fide Boundaries: Towards an Ontology of Spatially Extended Objects. Springer. pp. 103–119.
    Human cognitive acts are directed towards objects extended in space of a wide range of different types. What follows is a new proposal for bringing order into this typological clutter. The theory of spatially extended objects should make room not only for the objects of physics but also for objects at higher levels, including the objects of geography and of related disciplines. It should leave room for different types of boundaries, including both the bona fide boundaries which we find in (...)
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  46. Epistemic Internalism, Justification, and Memory.B. J. C. Madison - 2014 - Logos and Episteme 5 (1):33-62.
    Epistemic internalism, by stressing the indispensability of the subject’s perspective, strikes many as plausible at first blush. However, many people have tended to reject the position because certain kinds of beliefs have been thought to pose special problems for epistemic internalism. For example, internalists tend to hold that so long as a justifier is available to the subject either immediately or upon introspection, it can serve to justify beliefs. Many have thought it obvious that no such view can be correct, (...)
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  47. When betting odds and credences come apart: more worries for Dutch book arguments.Darren Bradley & Hannes Leitgeb - 2006 - Analysis 66 (2):119-127.
    If an agent believes that the probability of E being true is 1/2, should she accept a bet on E at even odds or better? Yes, but only given certain conditions. This paper is about what those conditions are. In particular, we think that there is a condition that has been overlooked so far in the literature. We discovered it in response to a paper by Hitchcock (2004) in which he argues for the 1/3 answer to the Sleeping Beauty problem. (...)
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  48. Uniqueness and Modesty: How Permissivists Can Live on the Edge.Darren Bradley - forthcoming - Mind.
    There is a divide in epistemology between those who think that, for any hypothesis and set of total evidence, there is a unique rational credence in that hypothesis, and those who think that there can be many rational credences. Schultheis offers a novel and potentially devastating objection to Permissivism, on the grounds that Permissivism permits dominated credences. I will argue that Permissivists can plausibly block Schultheis' argument. The issue turns on getting clear about whether we should be certain whether our (...)
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  49. Cost Benefit Analysis and the Environment.N. Hanley & C. Spash - 1996 - Environmental Values 5 (2):182-183.
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  50. Counterfactual Desirability.Richard Bradley & H. Orii Stefansson - 2017 - British Journal for the Philosophy of Science 68 (2):485-533.
    The desirability of what actually occurs is often influenced by what could have been. Preferences based on such value dependencies between actual and counterfactual outcomes generate a class of problems for orthodox decision theory, the best-known perhaps being the so-called Allais Paradox. In this paper we solve these problems by extending Richard Jeffrey's decision theory to counterfactual prospects, using a multidimensional possible-world semantics for conditionals, and showing that preferences that are sensitive to counterfactual considerations can still be desirability maximising. We (...)
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