Results for 'William Bragg Ewald'

958 found
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  1. Scientific Conclusions Need Not Be Accurate, Justified, or Believed by their Authors.Haixin Dang & Liam Kofi Bright - 2021 - Synthese 199:8187–8203.
    We argue that the main results of scientific papers may appropriately be published even if they are false, unjustified, and not believed to be true or justified by their author. To defend this claim we draw upon the literature studying the norms of assertion, and consider how they would apply if one attempted to hold claims made in scientific papers to their strictures, as assertions and discovery claims in scientific papers seem naturally analogous. We first use a case study of (...)
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  2. Carl Stumpf in Prague (1879-1884). The Institutionalisation of Brentano's philosophical program in Prague.Denis Fisette - forthcoming - Brentano Studien. Internationales Jahrbuch der Franz Brentano Forschung (2018).
    This study is about Carl Stumpf's achievements during his stay in Prague (1879-1884). It can be considered a piece of sociology of knowledge that is meant to uncover the institutional mechanisms used by Brentano from Vienna in order to implement his philosophical program in Prague. I claim that Stumpf and Marty have been instrumental in Brentano's plans and strategies to consolidate his hold on philosophy and its institutions in Austria. There are also several aspects of Stumpf's and Marty's scientific activities (...)
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    Reactions to Positivist Hegemony in the Social Sciences.Damian Williams - forthcoming - Forthcoming.
    The local opposes the global or the macro opposes the micro and vice versa, respectively. This dialectical relationship further exposes that scales are socially and politically constructed, representative of a phenomena that is relational, and is thus of important consideration in analysis beyond simple labeling. That is, scale represents more than ‘size’ and ‘complexity’, but also reveals the relational. It is the relational—the relationship between the ‘global’ and its contents or the ‘local’—which provides for or is wont for analytic complexity (...)
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  4. Aesthetic Worlds: Rimbaud, Williams and Baroque Form.William Melaney - 2000 - Analecta Husserliana 69:149-158.
    The sense of form that provides the modern poet with a unique experience of the literary object has been crucial to various attempts to compare poetry to other cultural activities. In maintaining similar conceptions of the relationship between poetry and painting, Arthur Rimbaud and W. C. Williams establish a common basis for interpreting their creative work. And yet their poetry is more crucially concerned with the sudden emergence of visible "worlds" containing verbal objects that integrate a new kind of literary (...)
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  5. Précis of William S. Robinson's Epiphenomenal Mind: An Integrated Outlook on Sensations, Beliefs and Pleasure.William Robinson - manuscript
    This précis summarizes the main topics, arguments and conclusions of the book. Many interesting arguments and critiques have, of course, been omitted in order to make this summary appropriately brief.
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  6. Part‐Intrinsicality.J. Robert G. Williams - 2011 - Noûs 47 (3):431-452.
    In some sense, survival seems to be an intrinsic matter. Whether or not you survive some event seems to depend on what goes on with you yourself —what happens in the environment shouldn’t make a difference. Likewise, being a person at a time seems intrinsic. The principle that survival seems intrinsic is one factor which makes personal fission puzzles so awkward. Fission scenarios present cases where if survival is an intrinsic matter, it appears that an individual could survive twice over. (...)
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  7. Is the ICC Effective?Damian Wayne Williams - forthcoming - Forthcoming.
    The International Criminal Court was established by the Rome Statue in 1998, and began operating in 2002, to the widespread applause in the international community. Under the post‐UN Charter multilateral system, the ICC’s formation was a welcomed extension of the UN Security Council’s reach, as part of the new supra‐state legal order whereby consenting states hold certain criminal acts arising to a scale of severity—crimes of scale—unacceptable by all. Yet, in its near 19‐year history, it remains unclear whether the ICC (...)
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  8. A Uniform Theory of Conditionals.William B. Starr - 2014 - Journal of Philosophical Logic 43 (6):1019-1064.
    A uniform theory of conditionals is one which compositionally captures the behavior of both indicative and subjunctive conditionals without positing ambiguities. This paper raises new problems for the closest thing to a uniform analysis in the literature (Stalnaker, Philosophia, 5, 269–286 (1975)) and develops a new theory which solves them. I also show that this new analysis provides an improved treatment of three phenomena (the import-export equivalence, reverse Sobel-sequences and disjunctive antecedents). While these results concern central issues in the study (...)
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  9. Style Types Theory and Practice in Linguistic Stylistics.William Hendricks - 1981 - Poetica, Interenational Journal Of 12 (1):45-59.
    Rather than an emphasis on style as unique to an author, this study argues for the notion of group styles. Three are proposed: tight, loose, and balanced. Examples of each type are illustrated.
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  10. An interpretation of political argument.William Bosworth - 2020 - European Journal of Political Theory 19 (3):293-313.
    How do we determine whether individuals accept the actual consistency of a political argument instead of just its rhetorical good looks? This article answers this question by proposing an interpretation of political argument within the constraints of political liberalism. It utilises modern developments in the philosophy of logic and language to reclaim ‘meaningless nonsense’ from use as a partisan war cry and to build up political argument as something more than a power struggle between competing conceptions of the good. Standard (...)
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  11. Grounding cognition: heterarchical control mechanisms in biology.William Bechtel & Leonardo Bich - 2021 - Philosophical Transactions of the Royal Society B: Biological Sciences 376 (1820).
    We advance an account that grounds cognition, specifically decision-making, in an activity all organisms as autonomous systems must perform to keep themselves viable—controlling their production mechanisms. Production mechanisms, as we characterize them, perform activities such as procuring resources from their environment, putting these resources to use to construct and repair the organism's body and moving through the environment. Given the variable nature of the environment and the continual degradation of the organism, these production mechanisms must be regulated by control mechanisms (...)
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  12. Is Artificial General Intelligence Impossible?William J. Rapaport - 2024 - Cosmos+Taxis 12 (5+6):5-22.
    In their Why Machines Will Never Rule the World, Landgrebe and Smith (2023) argue that it is impossible for artificial general intelligence (AGI) to succeed, on the grounds that it is impossible to perfectly model or emulate the “complex” “human neurocognitive system”. However, they do not show that it is logically impossible; they only show that it is practically impossible using current mathematical techniques. Nor do they prove that there could not be any other kinds of theories than those in (...)
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  13. Edge Modes and Dressing Fields for the Newton–Cartan Quantum Hall Effect.William J. Wolf, James Read & Nicholas J. Teh - 2022 - Foundations of Physics 53 (1):1-24.
    It is now well-known that Newton–Cartan theory is the correct geometrical setting for modelling the quantum Hall effect. In addition, in recent years edge modes for the Newton–Cartan quantum Hall effect have been derived. However, the existence of these edge modes has, as of yet, been derived using only orthodox methodologies involving the breaking of gauge-invariance; it would be preferable to derive the existence of such edge modes in a gauge-invariant manner. In this article, we employ recent work by Donnelly (...)
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  14. Fundamental and Derivative Truths.J. R. G. Williams - 2010 - Mind 119 (473):103 - 141.
    This article investigates the claim that some truths are fundamentally or really true — and that other truths are not. Such a distinction can help us reconcile radically minimal metaphysical views with the verities of common sense. I develop an understanding of the distinction whereby Fundamentality is not itself a metaphysical distinction, but rather a device that must be presupposed to express metaphysical distinctions. Drawing on recent work by Rayo on anti-Quinean theories of ontological commitments, I formulate a rigourous theory (...)
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  15. Testing epistemic democracy’s claims for majority rule.William J. Berger & Adam Sales - 2019 - Politics, Philosophy and Economics 19 (1):22-35.
    While epistemic democrats have claimed that majority rule recruits the wisdom of the crowd to identify correct answers to political problems, the conjecture remains abstract. This article illustrates how majority rule leverages the epistemic capacity of the electorate to practically enhance the instrumental value of elections. To do so, we identify a set of sufficient conditions that effect such a majority rule mechanism, even when the decision in question is multidimensional. We then look to the case of sociotropic economic voting (...)
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  16. “L'ètica de la creença” (W. K. Clifford) & “La voluntat de creure” (William James).Alberto Oya, William James & W. K. Clifford - 2016 - Quaderns de Filosofia 3 (2):123-172.
    Catalan translation, introductory study and notes on W. K. Clifford’s “The Ethics of Belief”. Published in Clifford, W.K. “L’ètica de la creença”. Quaderns de Filosofia, vol. III, n. 2 (2016), pp. 129–150. // Catalan translation, introductory study and notes on William James’s “The Will to Believe”. Published in James, William. “La voluntat de creure”. Quaderns de Filosofia, vol. III, n. 2 (2016), pp. 151–172. [Introductory study published in Oya, Alberto. “Introducció. El debat entre W. K. Clifford i (...) James”. Quaderns de Filosofia, vol. III, n. 2 (2016), pp. 123–127]. (shrink)
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  17. The Impossibility of a Bayesian Liberal?William Bosworth & Brad Taylor - forthcoming - Journal of Politics.
    Aumann’s theorem states that no individual should agree to disagree under a range of assumptions. Political liberalism appears to presuppose these assumptions with the idealized conditions of public reason. We argue Aumann’s theorem demonstrates they nevertheless cannot be simultaneously held with what is arguably political liberalism’s most central tenet. That is, the tenet of reasonable pluralism, which implies we can rationally agree to disagree over conceptions of the good. We finish by elaborating a way of relaxing one of the theorem’s (...)
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  18. Evidentialism, Inertia, and Imprecise Probability.William Peden - forthcoming - The British Journal for the Philosophy of Science:1-23.
    Evidentialists say that a necessary condition of sound epistemic reasoning is that our beliefs reflect only our evidence. This thesis arguably conflicts with standard Bayesianism, due to the importance of prior probabilities in the latter. Some evidentialists have responded by modelling belief-states using imprecise probabilities (Joyce 2005). However, Roger White (2010) and Aron Vallinder (2018) argue that this Imprecise Bayesianism is incompatible with evidentialism due to “inertia”, where Imprecise Bayesian agents become stuck in a state of ambivalence towards hypotheses. Additionally, (...)
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  19. جيل دولوز - نظرية التعدديات عند برجسون.وليم العوطة & William Outa - 2022 - Http://Www.Le-Terrier.Net/Deleuze/20bergson.Htm.
    مداخلة مترجمة عن الفرنسية للفيلسوف الفرنسي جيل دولوز.
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  20. 'Access to Justice' as Access to a Lawyer's Language.William Conklin - 1990 - Windsor Yearbook of Access to Justice 10:454-467.
    This essay claims that ‘access to justice’ has erroneously been assumed to be synonymous with invisible concepts instead of access to a lawyer’s language. The Paper outlines how a language concerns the relation between signifiers, better known as word-images, on the one hand, with signfieds, better known as concepts, on the other. The signifieds are universal, artificial and empty in content. Taking the Canadian Charter of Rights and Freedoms as an example, officials have assumed that Charter knowledge has involved signifieds (...)
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  21. Probability and arguments: Keynes’s legacy.William Peden - 2021 - Cambridge Journal of Economics 45 (5):933–950.
    John Maynard Keynes’s A Treatise on Probability is the seminal text for the logical interpretation of probability. According to his analysis, probabilities are evidential relations between a hypothesis and some evidence, just like the relations of deductive logic. While some philosophers had suggested similar ideas prior to Keynes, it was not until his Treatise that the logical interpretation of probability was advocated in a clear, systematic and rigorous way. I trace Keynes’s influence in the philosophy of probability through a heterogeneous (...)
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  22. Reference Letters and Conflict of Interest: A Professor’s Dilemma.Bryn Williams-Jones - 2012 - BioéthiqueOnline 1:10.
    This case study examines some of the challenges, and in particular conflicts of interest, that professors face in writing letters of reference for their students.
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  23. The Evidentialist's Wager.William MacAskill, Aron Vallinder, Caspar Oesterheld, Carl Shulman & Johannes Treutlein - 2021 - Journal of Philosophy 118 (6):320-342.
    Suppose that an altruistic agent who is uncertain between evidential and causal decision theory finds herself in a situation where these theories give conflicting verdicts. We argue that even if she has significantly higher credence in CDT, she should nevertheless act in accordance with EDT. First, we claim that the appropriate response to normative uncertainty is to hedge one's bets. That is, if the stakes are much higher on one theory than another, and the credences you assign to each of (...)
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  24. Decision-Making Under Indeterminacy.J. Robert G. Williams - 2014 - Philosophers' Imprint 14.
    Decisions are made under uncertainty when there are distinct outcomes of a given action, and one is uncertain to which the act will lead. Decisions are made under indeterminacy when there are distinct outcomes of a given action, and it is indeterminate to which the act will lead. This paper develops a theory of (synchronic and diachronic) decision-making under indeterminacy that portrays the rational response to such situations as inconstant. Rational agents have to capriciously and randomly choose how to resolve (...)
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  25. Confirmation, transitivity, and Moore: the Screening-Off Approach.William Roche & Tomoji Shogenji - 2013 - Philosophical Studies (3):1-21.
    It is well known that the probabilistic relation of confirmation is not transitive in that even if E confirms H1 and H1 confirms H2, E may not confirm H2. In this paper we distinguish four senses of confirmation and examine additional conditions under which confirmation in different senses becomes transitive. We conduct this examination both in the general case where H1 confirms H2 and in the special case where H1 also logically entails H2. Based on these analyses, we argue that (...)
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  26. Information and Inaccuracy.William Roche & Tomoji Shogenji - 2018 - British Journal for the Philosophy of Science 69 (2):577-604.
    This article proposes a new interpretation of mutual information. We examine three extant interpretations of MI by reduction in doubt, by reduction in uncertainty, and by divergence. We argue that the first two are inconsistent with the epistemic value of information assumed in many applications of MI: the greater is the amount of information we acquire, the better is our epistemic position, other things being equal. The third interpretation is consistent with EVI, but it is faced with the problem of (...)
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  27. Expressing Permission.William B. Starr - 2016 - Semantics and Linguistic Theory 26:325-349.
    This paper proposes a semantics for free choice permission that explains both the non-classical behavior of modals and disjunction in sentences used to grant permission, and their classical behavior under negation. It also explains why permissions can expire when new information comes in and why free choice arises even when modals scope under disjunction. On the proposed approach, deontic modals update preference orderings, and connectives operate on these updates rather than propositions. The success of this approach stems from its capacity (...)
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  28. The Social Trackways Theory of the Evolution of Human Cognition.Kim Shaw-Williams - 2014 - Biological Theory 9 (1):16-26.
    Only our lineage has ever used trackways reading to find unseen and unheard targets. All other terrestrial animals, including our great ape cousins, use scent trails and airborne odors. Because trackways as natural signs have very different properties, they possess an information-rich narrative structure. There is good evidence we began to exploit conspecific trackways in our deep past, at first purely associatively, for safety and orienteering when foraging in vast featureless wetlands. Since our own old trackways were recognizable they were (...)
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  29. Generalized probabilism: Dutch books and accuracy domi- nation.J. Robert G. Williams - 2012 - Journal of Philosophical Logic 41 (5):811-840.
    Jeff Paris proves a generalized Dutch Book theorem. If a belief state is not a generalized probability then one faces ‘sure loss’ books of bets. In Williams I showed that Joyce’s accuracy-domination theorem applies to the same set of generalized probabilities. What is the relationship between these two results? This note shows that both results are easy corollaries of the core result that Paris appeals to in proving his dutch book theorem. We see that every point of accuracy-domination defines a (...)
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  30. Dynamic Expressivism about Deontic Modality.William B. Starr - 2016 - In Nate Charlow & Matthew Chrisman (eds.), Deontic Modality. New York, NY: Oxford University Press. pp. 355-394.
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  31. Epictetus on How the Stoic Sage Loves.William O. Stephens - 1996 - Oxford Studies in Ancient Philosophy 14:193-210.
    I show that in Epictetus’ view (1) the wise man genuinely loves (στέργειv) and is affectionate (φιλόστoργoς) to his family and friends; (2) only the Stoic wise man is, properly speaking, capable of loving—that is, he alone actually has the power to love; and (3) the Stoic wise man loves in a robustly rational way which excludes passionate, sexual, ‘erotic’ love (’έρως). In condemning all ’έρως as objectionable πάθoς Epictetus stands with Cicero and with the other Roman Stoics, Seneca and (...)
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  32. Epictetus's Encheiridion: A new translation and guide to Stoic ethics.Scott Aikin & William O. Stephens - 2023 - London and New York: Bloomsbury Publishing. Edited by William O. Stephens & Epictetus.
    For anyone approaching the Encheiridion of Epictetus for the first time, this book provides a comprehensive guide to understanding a complex philosophical text. Including a full translation and clear explanatory commentaries, Epictetus's 'Encheiridion' introduces readers to a hugely influential work of Stoic philosophy. Scott Aikin and William O. Stephens unravel the core themes of Stoic ethics found within this ancient handbook. Focusing on the core themes of self-control, seeing things as they are, living according to nature, owning one's roles (...)
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  33. Hylomorphism and the Construct of Consciousness.William Jaworski - 2020 - Topoi 39 (5):1125-1139.
    The hard problem of consciousness has held center stage in the philosophy of mind for the past two decades. It claims that the phenomenal character of conscious experiences—what it’s like to be in them—cannot be explained by appeal to the operation of physiological subsystems. The hard problem arises, however, only given the assumption that hylomorphism is false. Hylomorphism claims that structure is a basic ontological and explanatory principle. A human is not a random collection of physical materials, but an individual (...)
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  34. What can history tell us about founding ethics on biology?William A. Rottschaefer - 2001 - Biology and Philosophy 16 (1):131-144.
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  35. The Backward Clock, Truth-Tracking, and Safety.John N. Williams & Neil Sinhababu - 2015 - Journal of Philosophy 112 (1):46-55.
    We present Backward Clock, an original counterexample to Robert Nozick’s truth-tracking analysis of propositional knowledge, which works differently from other putative counterexamples and avoids objections to which they are vulnerable. We then argue that four ways of analysing knowledge in terms of safety, including Duncan Pritchard’s, cannot withstand Backward Clock either.
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  36. Social Epistemology Transformed: Steve Fuller’s Account of Knowledge as a Divine Spark for Human Domination.William T. Lynch - 2016 - Symposion: Theoretical and Applied Inquiries in Philosophy and Social Sciences 3 (2): 191-205.
    In his new book, Knowledge: The Philosophical Quest in History, Steve Fuller returns to core themes of his program of social epistemology that he first outlined in his 1988 book, Social Epistemology. He develops a new, unorthodox theology and philosophy building upon his testimony in Kitzmiller v. Dover Area School District in defense of intelligent design, leading to a call for maximal human experimentation. Beginning from the theological premise rooted in the Abrahamic religious tradition that we are created in the (...)
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  37. Active biological mechanisms: transforming energy into motion in molecular motors.William Bechtel & Andrew Bollhagen - 2021 - Synthese 199 (5-6):12705-12729.
    Unless one embraces activities as foundational, understanding activities in mechanisms requires an account of the means by which entities in biological mechanisms engage in their activities—an account that does not merely explain activities in terms of more basic entities and activities. Recent biological research on molecular motors exemplifies such an account, one that explains activities in terms of free energy and constraints. After describing the characteristic “stepping” activities of these molecules and mapping the stages of those steps onto the stages (...)
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  38. Capgras Syndrome: A Novel Probe for Understanding the Neural Representation of the Identity and Familiarity of Persons.William Hirstein & V. S. Ramachandran - 1997 - Proceedings of the Royal Society of London B 264:437-444.
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  39. Perceiving Others and Their Minds: Response to McGeer.William Hirstein - 2009 - Modern Schoolman 86 (3-4):319-326.
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  40. Responsible Brains: Neuroscience, Law, and Human Culpability.William Hirstein, Katrina L. Sifferd & Tyler K. Fagan - 2018 - New York, NY, USA: MIT Press. Edited by Katrina Sifferd & Tyler Fagan.
    [This download includes the table of contents and chapter 1.] -/- When we praise, blame, punish, or reward people for their actions, we are holding them responsible for what they have done. Common sense tells us that what makes human beings responsible has to do with their minds and, in particular, the relationship between their minds and their actions. Yet the empirical connection is not necessarily obvious. The “guilty mind” is a core concept of criminal law, but if a defendant (...)
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  41. Evidence of evidence is evidence under screening-off.William Roche - 2014 - Episteme 11 (1):119-124.
    An important question in the current debate on the epistemic significance of peer disagreement is whether evidence of evidence is evidence. Fitelson argues that, at least on some renderings of the thesis that evidence of evidence is evidence, there are cases where evidence of evidence is not evidence. I introduce a condition and show that under this condition evidence of evidence is evidence.
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  42. The Stoics and their Philosophical System.William O. Stephens - 2020 - In Kelly Arenson (ed.), The Routledge Handbook of Hellenistic Philosophy. Routledge. pp. 22-34.
    An overview of the ancient philosophers and their philosophical system (divided into the fields of logic, physics, and ethics) comprising the living, organic, enduring, and evolving body of interrelated ideas identifiable as the Stoic perspective.
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  43. A weaker condition for transitivity in probabilistic support.William A. Roche - 2012 - European Journal for Philosophy of Science 2 (1):111-118.
    Probabilistic support is not transitive. There are cases in which x probabilistically supports y , i.e., Pr( y | x ) > Pr( y ), y , in turn, probabilistically supports z , and yet it is not the case that x probabilistically supports z . Tomoji Shogenji, though, establishes a condition for transitivity in probabilistic support, that is, a condition such that, for any x , y , and z , if Pr( y | x ) > Pr( y (...)
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  44. The Aims and Structures of Ecological Research Programs.William Bausman - 2019 - Philosophical Topics 47 (1):1-20.
    Neutral Theory is controversial in ecology. Ecologists and philosophers have diagnosed the source of the controversy as: its false assumption that individuals in different species within the same trophic level are ecologically equivalent, its conflict with Competition Theory and the adaptation of species, its role as a null hypothesis, and as a Lakatosian research programme. In this paper, I show why we should instead understand the conflict at the level of research programs which involve more than theory. The Neutralist and (...)
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  45. Aid Scepticism and Effective Altruism.William MacAskill - 2019 - Journal of Practical Ethics 7 (1):49-60.
    In the article, ‘Being Good in a World of Need: Some Empirical Worries and an Uncomfortable Philosophical Possibility,’ Larry Temkin presents some concerns about the possible impact of international aid on the poorest people in the world, suggesting that the nature of the duties of beneficence of the global rich to the global poor are much more murky than some people have made out. -/- In this article, I’ll respond to Temkin from the perspective of effective altruism—one of the targets (...)
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  46. The Missing-Desires Objection to Hybrid Theories of Well-Being.William Lauinger - 2013 - Southern Journal of Philosophy 51 (2):270-295.
    Many philosophers have claimed that we might do well to adopt a hybrid theory of well-being: a theory that incorporates both an objective-value constraint and a pro-attitude constraint. Hybrid theories are attractive for two main reasons. First, unlike desire theories of well-being, hybrid theories need not worry about the problem of defective desires. This is so because, unlike desire theories, hybrid theories place an objective-value constraint on well-being. Second, unlike objectivist theories of well-being, hybrid theories need not worry about being (...)
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  47. Why there is no obligation to love God.William Bell & Graham Renz - 2024 - Religious Studies 60 (1):77-88.
    The first and greatest commandment according to Jesus, and so the one most central to Christian practice, is the command to love God. We argue that this commandment is best interpreted in aretaic rather than deontic terms. In brief, we argue that there is no obligation to love God. While bad, failure to seek and enjoy a union of love with God is not in violation of any general moral requirement. The core argument is straightforward: relations of intimacy should not (...)
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  48. Rights reclamation.William L. Bell - 2024 - Philosophical Studies 181 (4):835-858.
    According to a rights forfeiture theory of punishment, liability to punishment hinges upon the notion that criminals forfeit their rights against hard treatment. In this paper, I assume the success of rights forfeiture theory in establishing the permissibility of punishment but aim to develop the view by considering how forfeited rights might be reclaimed. Built into the very notion of proportionate punishment is the idea that forfeited rights can be recovered. The interesting question is whether punishment is the sole means (...)
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  49. Philosophy of Computer Science.William J. Rapaport - 2005 - Teaching Philosophy 28 (4):319-341.
    There are many branches of philosophy called “the philosophy of X,” where X = disciplines ranging from history to physics. The philosophy of artificial intelligence has a long history, and there are many courses and texts with that title. Surprisingly, the philosophy of computer science is not nearly as well-developed. This article proposes topics that might constitute the philosophy of computer science and describes a course covering those topics, along with suggested readings and assignments.
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  50. Confirmation, increase in probability, and partial discrimination: A reply to Zalabardo.William Roche - 2016 - European Journal for Philosophy of Science 6 (1):1-7.
    There is a plethora of confirmation measures in the literature. Zalabardo considers four such measures: PD, PR, LD, and LR. He argues for LR and against each of PD, PR, and LD. First, he argues that PR is the better of the two probability measures. Next, he argues that LR is the better of the two likelihood measures. Finally, he argues that LR is superior to PR. I set aside LD and focus on the trio of PD, PR, and LR. (...)
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