Results for 'Jason Js Barton'

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  1. Epistemic Autonomy and the Shaping of Our Epistemic Lives.Jason Kawall - 2024 - Social Epistemology 38 (3):374-391.
    I present an account of epistemic autonomy as a distinctively wide-ranging epistemic virtue, one that helps us to understand a range of phenomena that might otherwise seem quite disparate – from the appropriate selection of epistemic methods, stances and topics of inquiry, to the harms of epistemic oppression, gaslighting and related phenomena. The account draws on four elements commonly incorporated into accounts of personal autonomy: (i) self-governance, (ii) authenticity, (iii) self-creation and (iv) independence. I further argue that for a distinctively (...)
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  2. Varieties of Class-Theoretic Potentialism.Neil Barton & Kameryn J. Williams - 2024 - Review of Symbolic Logic 17 (1):272-304.
    We explain and explore class-theoretic potentialism—the view that one can always individuate more classes over a set-theoretic universe. We examine some motivations for class-theoretic potentialism, before proving some results concerning the relevant potentialist systems (in particular exhibiting failures of the $\mathsf {.2}$ and $\mathsf {.3}$ axioms). We then discuss the significance of these results for the different kinds of class-theoretic potentialists.
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  3. Absence perception and the philosophy of zero.Neil Barton - 2020 - Synthese 197 (9):3823-3850.
    Zero provides a challenge for philosophers of mathematics with realist inclinations. On the one hand it is a bona fide cardinal number, yet on the other it is linked to ideas of nothingness and non-being. This paper provides an analysis of the epistemology and metaphysics of zero. We develop several constraints and then argue that a satisfactory account of zero can be obtained by integrating an account of numbers as properties of collections, work on the philosophy of absences, and recent (...)
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  4. Is (un)countabilism restrictive?Neil Barton - manuscript
    Let's suppose you think that there are no uncountable sets. Have you adopted a restrictive position? It is certainly tempting to say yes---you've prohibited the existence of certain kinds of large set. This paper argues that this intuition can be challenged. Instead, I argue that there are some considerations based on a formal notion of restrictiveness which suggest that it is restrictive to hold that there are uncountable sets.
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  5. Multiversism and Concepts of Set: How Much Relativism Is Acceptable?Neil Barton - 2016 - In Francesca Boccuni & Andrea Sereni (eds.), Objectivity, Realism, and Proof. FilMat Studies in the Philosophy of Mathematics. Cham, Switzerland: Springer International Publishing. pp. 189-209.
    Multiverse Views in set theory advocate the claim that there are many universes of sets, no-one of which is canonical, and have risen to prominence over the last few years. One motivating factor is that such positions are often argued to account very elegantly for technical practice. While there is much discussion of the technical aspects of these views, in this paper I analyse a radical form of Multiversism on largely philosophical grounds. Of particular importance will be an account of (...)
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  6. Make It So: Imperatival Foundations for Mathematics.Neil Barton, Ethan Russo & Chris Scambler - manuscript
    This article articulates and assesses an imperatival approach to the foundations of mathematics. The core idea for the program is that mathematical domains of interest can fruitfully be viewed as the outputs of construction procedures. We apply this idea to provide a novel formalisation of arithmetic and set theory in terms of such procedures, and discuss the significance of this perspective for the philosophy of mathematics.
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  7. On Representations of Intended Structures in Foundational Theories.Neil Barton, Moritz Müller & Mihai Prunescu - 2022 - Journal of Philosophical Logic 51 (2):283-296.
    Often philosophers, logicians, and mathematicians employ a notion of intended structure when talking about a branch of mathematics. In addition, we know that there are foundational mathematical theories that can find representatives for the objects of informal mathematics. In this paper, we examine how faithfully foundational theories can represent intended structures, and show that this question is closely linked to the decidability of the theory of the intended structure. We argue that this sheds light on the trade-off between expressive power (...)
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  8. What makes a `good' modal theory of sets?Neil Barton - manuscript
    I provide an examination and comparison of modal theories for underwriting different non-modal theories of sets. I argue that there is a respect in which the `standard' modal theory for set construction---on which sets are formed via the successive individuation of powersets---raises a significant challenge for some recently proposed `countabilist' modal theories (i.e. ones that imply that every set is countable). I examine how the countabilist can respond to this issue via the use of regularity axioms and raise some questions (...)
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  9. Inner-Model Reflection Principles.Neil Barton, Andrés Eduardo Caicedo, Gunter Fuchs, Joel David Hamkins, Jonas Reitz & Ralf Schindler - 2020 - Studia Logica 108 (3):573-595.
    We introduce and consider the inner-model reflection principle, which asserts that whenever a statement \varphi(a) in the first-order language of set theory is true in the set-theoretic universe V, then it is also true in a proper inner model W \subset A. A stronger principle, the ground-model reflection principle, asserts that any such \varphi(a) true in V is also true in some non-trivial ground model of the universe with respect to set forcing. These principles each express a form of width (...)
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  10.  48
    Philosophical foundations for the study of wisdom.Jason Swartwood - 2022 - In Judith Glück & Robert Sternberg (eds.), The Psychology of Wisdom: An Introduction. Cambridge University Press. pp. 15 - 34.
    A person with practical wisdom reliably grasps how to live and conduct themselves. But what is practical wisdom, how can we get it, and how can we study it? This chapter will introduce some prominent philosophical arguments and answers to these questions. After distinguishing practical wisdom from other types of wisdom, the chapter explains why studying wisdom requires combining both philosophy and empirical science. To illustrate the contribution of philosophy, the chapter describes a core philosophical conception of wisdom and invites (...)
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  11. Wisdom as an Expert Skill.Jason D. Swartwood - 2013 - Ethical Theory and Moral Practice 16 (3):511-528.
    Practical wisdom is the intellectual virtue that enables a person to make reliably good decisions about how, all-things-considered, to live. As such, it is a lofty and important ideal to strive for. It is precisely this loftiness and importance that gives rise to important questions about wisdom: Can real people develop it? If so, how? What is the nature of wisdom as it manifests itself in real people? I argue that we can make headway answering these questions by modeling wisdom (...)
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  12. Independence and Ignorance: How agnotology informs set-theoretic pluralism.Neil Barton - 2017 - Journal of the Indian Council of Philosophical Research 34 (2):399-413.
    Much of the discussion of set-theoretic independence, and whether or not we could legitimately expand our foundational theory, concerns how we could possibly come to know the truth value of independent sentences. This paper pursues a slightly different tack, examining how we are ignorant of issues surrounding their truth. We argue that a study of how we are ignorant reveals a need for an understanding of set-theoretic explanation and motivates a pluralism concerning the adoption of foundational theory.
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  13. Countabilism and Maximality Principles.Neil Barton & Sy-David Friedman - manuscript
    It is standard in set theory to assume that Cantor's Theorem establishes that the continuum is an uncountable set. A challenge for this position comes from the observation that through forcing one can collapse any cardinal to the countable and that the continuum can be made arbitrarily large. In this paper, we present a different take on the relationship between Cantor's Theorem and extensions of universes, arguing that they can be seen as showing that every set is countable and that (...)
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  14. The Problem of Temporality in the Literary Framework of Nicholas of Cusa’s De pace fidei.Jason Aleksander - 2014 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 1 (2):135-145.
    This paper explores Nicholas of Cusa’s framing of the De pace fidei as a dialogue taking place incaelo rationis. On the one hand, this framing allows Nicholas of Cusa to argue that all religious rites presuppose the truth of a single, unified faith and so temporally manifest divine logos in a way accommodated to the historically unique conventions of different political communities. On the other hand, at the end of the De pace fidei, the interlocutors in the heavenly dialogue are (...)
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  15. Richness and Reflection.Neil Barton - 2016 - Philosophia Mathematica 24 (3):330-359.
    A pervasive thought in contemporary philosophy of mathematics is that in order to justify reflection principles, one must hold universism: the view that there is a single universe of pure sets. I challenge this kind of reasoning by contrasting universism with a Zermelian form of multiversism. I argue that if extant justifications of reflection principles using notions of richness are acceptable for the universist, then the Zermelian can use similar justifications. However, I note that for some forms of richness argument, (...)
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  16. Structural Relativity and Informal Rigour.Neil Barton - 2022 - In Gianluigi Oliveri, Claudio Ternullo & Stefano Boscolo (eds.), Objects, Structures, and Logics, FilMat Studies in the Philosophy of Mathematics. Springer. pp. 133-174.
    Informal rigour is the process by which we come to understand particular mathematical structures and then manifest this rigour through axiomatisations. Structural relativity is the idea that the kinds of structures we isolate are dependent upon the logic we employ. We bring together these ideas by considering the level of informal rigour exhibited by our set-theoretic discourse, and argue that different foundational programmes should countenance different underlying logics (intermediate between first- and second-order) for formulating set theory. By bringing considerations of (...)
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  17. Reflection in Apophatic Mathematics and Theology.Neil Barton - manuscript
    A long tradition in theology holds that the divine is in some sense incomprehensible, ineffable, or indescribable. This is mirrored in the set-theoretic literature by those who hold that the universe of sets is incomprehensible, ineffable, or indescribable. In this latter field, set theorists often study reflection principles; axioms that posit indescribability properties of the universe. This paper seeks to examine a theological reflection principle, which can be used to deliver a very rich ontology. I argue that in analogy with (...)
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  18. Can we measure practical wisdom?Jason Swartwood - 2020 - Journal of Moral Education 49 (1):71-97.
    Wisdom, long a topic of interest to moral philosophers, is increasingly the focus of social science research. Philosophers have historically been concerned to develop a rationally defensible account of the nature of wisdom and its role in the moral life, often inspired in various ways by virtue theoretical accounts of practical wisdom (phronesis). Wisdom scientists seek to, among other things, define wisdom and its components so that we can measure them. Are the measures used by wisdom scientists actually measuring what (...)
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  19. Mathematical Gettier Cases and Their Implications.Neil Barton - manuscript
    Let mathematical justification be the kind of justification obtained when a mathematician provides a proof of a theorem. Are Gettier cases possible for this kind of justification? At first sight we might think not: The standard for mathematical justification is proof and, since proof is bound at the hip with truth, there is no possibility of having an epistemically lucky justification of a true mathematical proposition. In this paper, I argue that Gettier cases are possible (and indeed actual) in mathematical (...)
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  20. Are Large Cardinal Axioms Restrictive?Neil Barton - manuscript
    The independence phenomenon in set theory, while pervasive, can be partially addressed through the use of large cardinal axioms. A commonly assumed idea is that large cardinal axioms are species of maximality principles. In this paper, I argue that whether or not large cardinal axioms count as maximality principles depends on prior commitments concerning the richness of the subset forming operation. In particular I argue that there is a conception of maximality through absoluteness, on which large cardinal axioms are restrictive. (...)
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  21. Self-regarding supererogatory actions.Jason Kawall - 2003 - Journal of Social Philosophy 34 (3):487–498.
    Many philosophers, in discussing supererogation, maintain that supererogatory actions must be done for the benefit of others. In this paper I argue that there can be instances of self-regarding supererogatory actions. That is, there are cases in which the primary (or sole) intended beneficiary of a supererogatory action is the agent herself, and she need not be acting out of a concern for morality or moral rules. In such cases the agent still acts suitably 'beyond the call of duty', and (...)
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  22. Executing Gödel's Programme in Set Theory.Neil Barton - 2017 - Dissertation, Birkbeck, University of London
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  23. Moderating Racism: The Attempt to Restrain Anti-Japanese Racism in World War II Propaganda Films.Gary James Jason - 2024 - Reason Papers 44 (1):92-106.
    In this essay, I want to explore one of the most ironic episodes in the history of propaganda, the attempt by various federal agencies to moderate American WWII anti-Japanese propaganda films. My texts will be four films, two produced by the military, and two by Hollywood: December 7th (1943), directed by Gregg Toland and revised by John Ford; Air Force (1943), directed Howard Hawks; Know Your Enemy: Japan (1945), directed by Frank Capra; and Betrayal for the East (1945), directed by (...)
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  24. Practice for Wisdom: On the Neglected Role of Case-Based Critical Reflection.Jason D. Swartwood - 2024 - Topoi 43 (3):1-13.
    Despite increased philosophical and psychological work on practical wisdom, contemporary interdisciplinary wisdom research provides few specifics about how to develop wisdom (Kristjánsson 2022). This lack of practically useful guidance is due in part to the difficulty of determining how to combine the tools of philosophy and psychology to develop a plausible account of wisdom as a prescriptive ideal. Modeling wisdom on more ordinary forms of expertise is promising, but skill models of wisdom (Annas 2011; De Caro et al. 2018; Swartwood (...)
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  25. Doing Practical Ethics: A Skills-Based Approach to Moral Reasoning.Jason Swartwood & Ian Stoner - 2021 - New York, NY, USA: Oxford University Press. Edited by Jason Swartwood.
    Doing Practical Ethics supports the deliberate practice of philosophical skills relevant to understanding, evaluating, and developing arguments in forms commonly used in the field of practical ethics. Each chapter includes an explanation of a specific moral reasoning skill, demonstration exercises with sample solutions that offer students immediate feedback on their initial practice attempts, and extensive sets of practice exercises. It is suitable for any ethics course that centrally features argument from principle, argument from analogy, or inference to the best explanation. (...)
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  26. Fatalism and False Futures in De Interpretatione 9.Jason W. Carter - 2022 - Oxford Studies in Ancient Philosophy 63:49-88.
    In De interpretatione 9, Aristotle argues against the fatalist view that if statements about future contingent singular events (e.g. ‘There will be a sea battle tomorrow,’ ‘There will not be a sea battle tomorrow’) are already true or false, then the events to which those statements refer will necessarily occur or necessarily not occur. Scholars have generally held that, to refute this argument, Aristotle allows that future contingent statements are exempt from either the principle of bivalence, or the law of (...)
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  27. Comparative Probabilities.Jason Konek - 2019 - In Richard Pettigrew & Jonathan Weisberg (eds.), The Open Handbook of Formal Epistemology. PhilPapers Foundation. pp. 267-348.
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  28. Is Incompatibilism Intuitive?Jason Turner, Eddy Nahmias, Stephen Morris & Thomas Nadelhoffer - 2007 - Philosophy and Phenomenological Research 73 (1):28-53.
    Incompatibilists believe free will is impossible if determinism is true, and they often claim that this view is supported by ordinary intuitions. We challenge the claim that incompatibilism is intuitive to most laypersons and discuss the significance of this challenge to the free will debate. After explaining why incompatibilists should want their view to accord with pretheoretical intuitions, we suggest that determining whether incompatibilism is in fact intuitive calls for empirical testing. We then present the results of our studies, which (...)
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  29. Iterative Conceptions of Set.Neil Barton - manuscript
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  30. Epistemic Landscapes, Optimal Search, and the Division of Cognitive Labor.Jason McKenzie Alexander, Johannes Himmelreich & Christopher Thompson - 2015 - Philosophy of Science 82 (3):424-453,.
    This article examines two questions about scientists’ search for knowledge. First, which search strategies generate discoveries effectively? Second, is it advantageous to diversify search strategies? We argue pace Weisberg and Muldoon, “Epistemic Landscapes and the Division of Cognitive Labor”, that, on the first question, a search strategy that deliberately seeks novel research approaches need not be optimal. On the second question, we argue they have not shown epistemic reasons exist for the division of cognitive labor, identifying the errors that led (...)
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  31. Existence and Many-One Identity.Jason Turner - 2013 - Philosophical Quarterly 63 (250):313-329.
    C endorses the doctrine of Composition as Identity, which holds that a composite object is identical to its many parts, and entails that one object can be identical to several others. In this dialogue, N argues that many‐one identity, and thus composition as identity, is conceptually confused. In particular, N claims it violates two conceptual truths: that existence facts fix identity facts, and that identity is no addition to being. In response to pressure from C, N considers several candidate interpretations (...)
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  32. Youth Prisons: Abolition or Reform?Jason Swartwood - 2023 - Public Philosophy Journal 5 (1).
    Active and targeted reforms at the local and state levels have had success reducing youth incarceration rates. While most agree the work is not done, reform of the youth incarceration system has had important successes. At the same time, activists and advocates have increasingly rejected the goal of reforming youth prisons in favor of abolishing them. I outline some objections to prominent abolitionist arguments. Specifically, I show why arguments that focus on the racist historical origins of the incarceration system, structural (...)
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  33. Peacocke’s Epiphany: A Possible Problem for Semantic Approaches to Metaphysical Necessity.Jon Barton - 2012 - Philosophia Scientiae 16 (2):99-116.
    In his _Being Known_ Peacocke sets himself the task of answering how we come to know about metaphysical necessities. He proposes a semantic principle-based conception consisting of, first, his Principles of Possibility which pro­vide necessary and sufficient conditions for a new concept 'admissibility', and second, characterizations of possibility and of necessity in terms of that new con­cept. I focus on one structural feature; viz. the recursive application involved in the specification of 'admissibility'. After sketching Peacocke’s proposal, I intro­duce a fictional (...)
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  34. Donald Baxter's Composition as Identity.Jason Turner - 2014 - In Aaron J. Cotnoir & Donald L. M. Baxter (eds.), Composition as Identity. Oxford: Oxford University Press USA.
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  35. Promising and supererogation.Jason Kawall - 2005 - Philosophia 32 (1-4):389-398.
    A paradox involving promises to perform supererogatory actions is developed. Several attempts to resolve the problem, focusing in particular on changing our understanding of supererogatory actions, are explored. It is concluded that none of the proposed solutions are viable; the problem lies in promises with certain contents, not in our understanding of supererogation.
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  36. Knowledge and certainty.Jason Stanley - 2008 - Philosophical Issues 18 (1):35-57.
    This paper is a companion piece to my earlier paper “Fallibilism and Concessive Knowledge Attributions”. There are two intuitive charges against fallibilism. One is that it countenances the truth (and presumably acceptability) of utterances of sentences such as “I know that Bush is a Republican, though it might be that he is not a Republican”. The second is that it countenances the truth (and presumably acceptability) of utterances of sentences such as “I know that Bush is a Republican, even though (...)
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  37. Rigidity and content.Jason Stanley - 1997 - In Richard G. Heck (ed.), Language, thought, and logic: essays in honour of Michael Dummett. New York: Oxford University Press.
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  38. Thomistic Principles and Bioethics.Jason T. Eberl - 2006 - New York: Routledge.
    Alongside a revival of interest in Thomism in philosophy, scholars have realised its relevance when addressing certain contemporary issues in bioethics. This book offers a rigorous interpretation of Aquinas's metaphysics and ethical thought, and highlights its significance to questions in bioethics. Jason T. Eberl applies Aquinas’s views on the seminal topics of human nature and morality to key questions in bioethics at the margins of human life – questions which are currently contested in the academia, politics and the media (...)
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  39. Conscientious Refusals and Reason‐Giving.Jason Marsh - 2013 - Bioethics 28 (6):313-319.
    Some philosophers have argued for what I call the reason-giving requirement for conscientious refusal in reproductive healthcare. According to this requirement, healthcare practitioners who conscientiously object to administering standard forms of treatment must have arguments to back up their conscience, arguments that are purely public in character. I argue that such a requirement, though attractive in some ways, faces an overlooked epistemic problem: it is either too easy or too difficult to satisfy in standard cases. I close by briefly considering (...)
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  40. Maximality and ontology: how axiom content varies across philosophical frameworks.Sy-David Friedman & Neil Barton - 2017 - Synthese 197 (2):623-649.
    Discussion of new axioms for set theory has often focused on conceptions of maximality, and how these might relate to the iterative conception of set. This paper provides critical appraisal of how certain maximality axioms behave on different conceptions of ontology concerning the iterative conception. In particular, we argue that forms of multiversism (the view that any universe of a certain kind can be extended) and actualism (the view that there are universes that cannot be extended in particular ways) face (...)
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  41. Hermeneutic fictionalism.Jason Stanley - 2001 - Midwest Studies in Philosophy 25 (1):36–71.
    Fictionalist approaches to ontology have been an accepted part of philosophical methodology for some time now. On a fictionalist view, engaging in discourse that involves apparent reference to a realm of problematic entities is best viewed as engaging in a pretense. Although in reality, the problematic entities do not exist, according to the pretense we engage in when using the discourse, they do exist. In the vocabulary of Burgess and Rosen (1997, p. 6), a nominalist construal of a given discourse (...)
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  42. Philosophical Foundations of Wisdom.Jason Swartwood & Valerie Tiberius - 2019 - In Robert Sternberg & Judith Gluek (eds.), A Handbook of Wisdom, 2nd Edition. Cambridge University Press. pp. 10-39.
    Practical wisdom (hereafter simply ‘wisdom’), which is the understanding required to make reliably good decisions about how we ought to live, is something we all have reason to care about. The importance of wisdom gives rise to questions about its nature: what kind of state is wisdom, how can we develop it, and what is a wise person like? These questions about the nature of wisdom give rise to further questions about proper methods for studying wisdom. Is the study of (...)
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  43. Friendship and epistemic norms.Jason Kawall - 2013 - Philosophical Studies 165 (2):349-370.
    Simon Keller and Sarah Stroud have both argued that the demands of being a good friend can conflict with the demands of standard epistemic norms. Intuitively, good friends will tend to seek favorable interpretations of their friends’ behaviors, interpretations that they would not apply to strangers; as such they seem prone to form unjustified beliefs. I argue that there is no such clash of norms. In particular, I argue that friendship does not require us to form beliefs about our friends (...)
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  44. Healthy Conflict in Contemporary American Society: From Enemy to Adversary.Jason A. Springs - 2018 - Cambridge: Cambridge University Press.
    US citizens perceive their society to be one of the most diverse and religiously tolerant in the world today. Yet seemingly intractable religious intolerance and moral conflict abound throughout contemporary US public life - from abortion law battles, same-sex marriage, post-9/11 Islamophobia, public school curriculum controversies, to moral and religious dimensions of the Black Lives Matter and Occupy Wall Street movements, and Tea Party populism. Healthy Conflict in Contemporary American Society develops an approach to democratic discourse and coalition-building across deep (...)
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  45. Easy's gettin' harder all the time: The computational theory and affective states.Jason Megill & Jon Cogburn - 2005 - Ratio 18 (3):306-316.
    We argue that A. Damasio’s (1994) Somatic Marker hypothesis can explain why humans don’t generally suffer from the frame problem, arguably the greatest obstacle facing the Computational Theory of Mind. This involves showing how humans with damaged emotional centers are best understood as actually suffering from the frame problem. We are then able to show that, paradoxically, these results provide evidence for the Computational Theory of Mind, and in addition call into question the very distinction between easy and hard problems (...)
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  46. Reverence for Life as a Viable Environmental Virtue.Jason Kawall - 2003 - Environmental Ethics 25 (4):339-358.
    There have been several recent defenses of biocentric individualism, the position that all living beings have at least some moral standing, simply insofar as they are alive. I develop a virtue-based version of biocentric individualism, focusing on a virtue of reverence for life. In so doing, I attempt to show that such a virtuebased approach allows us to avoid common objections to biocentric individualism, based on its supposed impracticability (or, on the other hand, its emptiness).
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  47. Moral response-dependence, ideal observers, and the motive of duty: Responding to Zangwill.Jason Kawall - 2004 - Erkenntnis 60 (3):357-369.
    Moral response-dependent metaethical theories characterize moral properties in terms of the reactions of certain classes of individuals. Nick Zangwill has argued that such theories are flawed: they are unable to accommodate the motive of duty. That is, they are unable to provide a suitable reason for anyone to perform morally right actions simply because they are morally right. I argue that Zangwill ignores significant differences between various approvals, and various individuals, and that moral response-dependent theories can accommodate the motive of (...)
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  48. Internal Perspectivalism: The Solution to Generality Problems About Proper Function and Natural Norms.Jason Winning - 2020 - Biology and Philosophy 35 (33):1-22.
    In this paper, I argue that what counts as the proper function of a trait is a matter of the de facto perspective that the biological system, itself, possesses on what counts as proper functioning for that trait. Unlike non-perspectival accounts, internal perspectivalism does not succumb to generality problems. But unlike external perspectivalism, internal perspectivalism can provide a fully naturalistic, mind-independent grounding of proper function and natural norms. The attribution of perspectives to biological systems is intended to be neither metaphorical (...)
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  49. Is there a case for ad hominem arguments?Gary James Jason - 1984 - Australasian Journal of Philosophy 62 (2):182 – 185.
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  50. Darwin and the Problem of Natural Nonbelief.Jason Marsh - 2013 - The Monist 96 (3):349-376.
    Problem one: why, if God designed the human mind, did it take so long for humans to develop theistic concepts and beliefs? Problem two: why would God use evolution to design the living world when the discovery of evolution would predictably contribute to so much nonbelief in God? Darwin was aware of such questions but failed to see their evidential significance for theism. This paper explores this significance. Problem one introduces something I call natural nonbelief, which is significant because it (...)
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