Results for 'Bradley K. Hobbs'

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  1. Playing the Hobbes Game at Philosophy Camp.Robert K. Garcia - 2021 - In Claire Elise Katz (ed.), Philosophy Camps for Youth: Everything You Wanted to Know about Starting, Organizing, and Running a Philosophy Camp. Lanham: Rowman & Littlefield Publishers. pp. 121-126.
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  2. Nature Without the State: An Anarchist Critique of ‘Animalistic Evil’.Jason K. Day - 2022 - Studies in the History of Philosophy 13 (3):63-79.
    I here present an anarchist critique of the idea of ‘animalistic evil’ and its common use as a justification for the State’s existence and use of force. On this view, ‘evil’ is a privation of morality, justice, and civilised behaviour. It is then identified with the ‘animalistic’ since animals are often thought to be defined by the aforesaid privation. I first clarify the idea of animalistic evil within the history of philosophy and science. Aristotle (384–322 BCE), Thomas Hobbes (1588–1679), and (...)
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  3. Teoria Democrática Moderna.Emanuel Isaque Cordeiro da Silva - manuscript
    Em meados do século XVI, surgiu a ideia de autonomia do indivíduo, que deu origem ao individualismo e ao liberalismo político. A concepção de democracia que se desenvolveu com base nesses princípios assumiu um perfil bastante diferente daquele utilizado na Grécia antiga. Se antes a democracia estava diretamente ligada à ideia de igualdade, em sua nova versão passou a ser relacionar primordialmente com a ideia de liberdade. Em decorrência dos ideais desenvolvidos naquele momento histórico, o principal dilema político fundamentava-se na (...)
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  4. 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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  5. Panorama Histórico dos Problemas Filosóficos.Emanuel Isaque Cordeiro da Silva - manuscript
    Antes de entrar cuidadosamente no estudo de cada filósofo, em suas respectivas ordens cronológicas, é necessário dar um panorama geral sobre eles, permitindo, de relance, a localização deles em tempos históricos e a associação de seus nomes com sua teoria ou tema central. l. OS FILÓSOFOS PRÉ-SOCRÁTICOS - No sétimo século antes de Jesus Cristo, nasce o primeiro filósofo grego: Tales de Mileto2 . Ele e os seguintes filósofos jônicos (Anaximandro: Ἀναξίμανδρος: 3 610-546 a.C.) e Anaxímenes: (Άναξιμένης: 586-524 a.C.) tentaram (...)
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  6. (1 other version)Properties as Truthmakers.Bradley Rettler - 2024 - In Anna Sofia Maurin & Anthony Fisher (eds.), Routledge Handbook on Properties. pp. 38-47.
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  7. 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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  8. Are There Indefeasible Epistemic Rules?Darren Bradley - 2019 - Philosophers' Imprint 19.
    What if your peers tell you that you should disregard your perceptions? Worse, what if your peers tell you to disregard the testimony of your peers? How should we respond if we get evidence that seems to undermine our epistemic rules? Several philosophers have argued that some epistemic rules are indefeasible. I will argue that all epistemic rules are defeasible. The result is a kind of epistemic particularism, according to which there are no simple rules connecting descriptive and normative facts. (...)
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  9. A Defense of Temporal Well-Being.Ben Bradley - 2021 - Res Philosophica 98 (1):117-123.
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  10. Mereological Nihilism and Puzzles about Material Objects.Bradley Rettler - 2018 - Pacific Philosophical Quarterly 99 (4):842-868.
    Mereological nihilism is the view that no objects have proper parts. Despite how counter‐intuitive it is, it is taken quite seriously, largely because it solves a number of puzzles in the metaphysics of material objects – or so its proponents claim. In this article, I show that for every puzzle that mereological nihilism solves, there is a similar puzzle that (a) it doesn’t solve, and (b) every other solution to the original puzzle does solve. Since the solutions to the new (...)
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  11. Digital Technology and the Problem of Dialogical Discourse in Social Media.Bradley Warfield - 2023 - Techné Research in Philosophy and Technology 27 (2):220-239.
    In this paper, I discuss some prominent features of our use of social media and what I think are its harms. My paper has three main parts. In the first part, I use a dialogical framework to argue that much of the discursive activity online is manifested as an ethically impoverished other-directedness and interactivity. In the second part, I identify and discuss several reasons that help explain why so much of the discursive activity on social media is ethically lacking. And (...)
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  12. 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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  13. 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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  14. How to Balance Lives and Livelihoods in a Pandemic.Matthew D. Adler, Richard Bradley, Marc Fleurbaey, Maddalena Ferranna, James Hammitt, Remi Turquier & Alex Voorhoeve - 2023 - In Julian Savulescu & Dominic Wilkinson (eds.), Pandemic Ethics: From Covid-19 to Disease X. Oxford University Press. pp. 189-209.
    Control measures, such as “lockdowns”, have been widely used to suppress the COVID-19 pandemic. Under some conditions, they prevent illness and save lives. But they also exact an economic toll. How should we balance the impact of such policies on individual lives and livelihoods (and other dimensions of concern) to determine which is best? A widely used method of policy evaluation, benefit–cost analysis (BCA), answers these questions by converting all the effects of a policy into monetary equivalents and then summing (...)
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  15. The problem of the many minds.Bradley Monton & Sanford Goldberg - 2006 - Minds and Machines 16 (4):463-470.
    It is argued that, given certain reasonable premises, an infinite number of qualitatively identical but numerically distinct minds exist per functioning brain. The three main premises are (1) mental properties supervene on brain properties; (2) the universe is composed of particles with nonzero extension; and (3) each particle is composed of continuum-many point-sized bits of particle-stuff, and these points of particle-stuff persist through time.
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  16. McTaggart and indexing the copula.Bradley Rettler - 2012 - Philosophical Studies 158 (3):431-434.
    In this paper, I show how a solution to Lewis’ problem of temporary intrinsics is also a response to McTaggart’s argument that the A-series is incoherent. There are three strategies Lewis considers for solving the problem of temporary intrinsics: perdurantism, presentism, and property-indexing. William Lane Craig (Analysis 58(2):122–127, 1998) has examined how the three strategies fare with respect to McTaggart’s argument. The only viable solution Lewis considers to the problem of temporary intrinsics that also succeeds against McTaggart, Craig claims, is (...)
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  17. Grounds and ‘Grounds’.Bradley Rettler - 2017 - Canadian Journal of Philosophy 47 (5):631-655.
    In this paper, I offer a new theory of grounding. The theory has it that grounding is a job description that is realized by different properties in different contexts. Those properties play the grounding role contingently, and grounding is the property that plays the grounding role essentially. On this theory, grounding is monistic, but ‘grounding’ refers to different relations in different contexts. First, I argue against Kit Fine’s monist univocalism. Next, I argue against Jessica Wilson’s pluralist multivocalism. Finally, I introduce (...)
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  18. 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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  19. Analysis of faith.Bradley Rettler - 2018 - Philosophy Compass 13 (9):e12517.
    In recent years, many philosophers of religion have turned their attention to the topic of faith. Given the ubiquity of the word “faith” both in and out of religious contexts, many of them have chosen to begin their forays by offering an analysis of faith. But it seems that there are many kinds of faith: religious faith, non‐religious faith, interpersonal faith, and propositional faith, to name a few. In this article, I discuss analyses of faith that have been offered and (...)
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  20. Philosophers should prefer simpler theories.Darren Bradley - 2018 - Philosophical Studies 175 (12):3049-3067.
    Should philosophers prefer simpler theories? Huemer (Philos Q 59:216–236, 2009) argues that the reasons to prefer simpler theories in science do not apply in philosophy. I will argue that Huemer is mistaken—the arguments he marshals for preferring simpler theories in science can also be applied in philosophy. Like Huemer, I will focus on the philosophy of mind and the nominalism/Platonism debate. But I want to engage with the broader issue of whether simplicity is relevant to philosophy.
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  21. 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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  22. Is Death Bad for a Cow?Ben Bradley - 2015 - In Tatjana Višak & Robert Garner (eds.), The Ethics of Killing Animals. New York: Oxford University Press USA. pp. 51-64.
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  23. Following the Science: Pandemic Policy Making and Reasonable Worst-Case Scenarios.Richard Bradley & Joe Roussos - 2021 - LSE Public Policy Review 1 (4):6.
    The UK has been ‘following the science’ in response to the COVID-19 pandemic in line with the national framework for the use of scientific advice in assessment of risk. We argue that the way in which it does so is unsatisfactory in two important respects. Firstly, pandemic policy making is not based on a comprehensive assessment of policy impacts. And secondly, the focus on reasonable worst-case scenarios as a way of managing uncertainty results in a loss of decision-relevant information and (...)
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  24. 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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  25. Identity-Crowding and Object-Seeing: A Reply to Block.Bradley Richards - 2013 - Thought: A Journal of Philosophy 2 (1):9-19.
    Contrary to Block's assertion, “identity-crowding” does not provide an interesting instance of object-seeing without object-attention. The successful judgments and unusual phenomenology of identity-crowding are better explained by unconscious perception and non-perceptual phenomenology associated with cognitive states. In identity-crowding, as in other cases of crowding, subjects see jumbled textures and cannot individuate the items contributing to those textures in the absence of attention. Block presents an attenuated sense in which identity-crowded items are seen, but this is irrelevant to the debate about (...)
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  26. The Explanatory Power of Deflationary Truth.Darren Bradley - 2023 - Erkenntnis 88 (8):3439-3456.
    It is widely believed that deflationary truth has no explanatory power. I will argue that it does. Specifically, I will consider some objections to deflationary truth having explanatory power, and argue that they fail. The position which will emerge is that the deflationary concept of truth is analogous to the concept of an average. Scientists take averages to be explanatory, and I will argue that the concept of deflationary truth is explanatory in the same way. I then argue that this (...)
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  27. 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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  28. 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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  29. Self-Locating Belief and Updating on Learning.Darren Bradley - 2020 - Mind 129 (514):579-584.
    Self-locating beliefs cause a problem for conditionalization. Miriam Schoenfield offers a solution: that on learning E, agents should update on the fact that they learned E. However, Schoenfield is not explicit about whether the fact that they learned E is self-locating. I will argue that if the fact that they learned E is self-locating then the original problem has not been addressed, and if the fact that they learned E is not self-locating then the theory generates implausible verdicts which Schoenfield (...)
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  30. Sleeping beauty and the forgetful bayesian.Bradley Monton - 2002 - Analysis 62 (1):47–53.
    Adam Elga takes the Sleeping Beauty example to provide a counter-example to Reflection, since on Sunday Beauty assigns probability 1/2 to H, and she is certain that on Monday she will assign probability 1/3. I will show that there is a natural way for Bas van Fraassen to defend Reflection in the case of Sleeping Beauty, building on van Fraassen’s treatment of forgetting. This will allow me to identify a lacuna in Elga’s argument for 1/3. I will then argue, however, (...)
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  31. God, fine-tuning, and the problem of old evidence.Bradley Monton - 2006 - British Journal for the Philosophy of Science 57 (2):405-424.
    The fundamental constants that are involved in the laws of physics which describe our universe are finely-tuned for life, in the sense that if some of the constants had slightly different values life could not exist. Some people hold that this provides evidence for the existence of God. I will present a probabilistic version of this fine-tuning argument which is stronger than all other versions in the literature. Nevertheless, I will show that one can have reasonable opinions such that the (...)
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  32. The Benefits of Experience Greatly Exceed the Liabilities.Ethan Bradley & David Wasserman - 2023 - American Journal of Bioethics 23 (1):44-46.
    Nelson et al.(2023) argue that the inclusion of personal experience in bioethical debates has significant benefits and liabilities, illustrating their claim with two examples: unproven medical treatments and disability bioethics. We believe that the benefits of including personal experience in disability bioethics far exceed its liabilities. The absence of participants with relevant experience impoverishes and biases bioethical debates, while the biases risked by their inclusion are hardly unique to personal experiences and are readily mitigated.
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  33. Against 3N-Dimensional Space.Bradley Monton - 2013 - In Alyssa Ney & David Albert (eds.), The Wave Function: Essays on the Metaphysics of Quantum Mechanics. , US: Oxford University Press USA.
    I argue that space has three dimensions, and quantum mechanics does not show otherwise. Specifically, I argue that the mathematical wave function of quantum mechanics corresponds to a property that an N-particle system has in three-dimensional space.
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  34. Presentism and quantum gravity.Bradley Monton - 2006 - In Dennis Geert Bernardus Johan Dieks (ed.), The ontology of spacetime. Boston: Elsevier.
    There is a philosophical tradition of arguing against presentism, the thesis that only presently existing things exist, on the basis of its incompatibility with fundamental physics. I grant that presentism is incompatible with special and general relativity, but argue that presentism is not incompatible with quantum gravity, because there are some theories of quantum gravity that utilize a fixed foliation of spacetime. I reply to various objections to this defense of presentism, and point out a flaw in Gödel's modal argument (...)
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  35. Investigating modes of being in the world: an introduction to Phenomenologically grounded qualitative research.Allan Køster & Anthony Vincent Fernandez - 2021 - Phenomenology and the Cognitive Sciences 22 (1):149-169.
    In this article, we develop a new approach to integrating philosophical phenomenology with qualitative research. The approach uses phenomenology’s concepts, namely existentials, rather than methods such as the epoché or reductions. We here introduce the approach to both philosophers and qualitative researchers, as we believe that these studies are best conducted through interdisciplinary collaboration. In section 1, we review the debate over phenomenology’s role in qualitative research and argue that qualitative theorists have not taken full advantage of what philosophical phenomenology (...)
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  36. Should Explanations Omit the Details?Darren Bradley - 2020 - British Journal for the Philosophy of Science 71 (3):827-853.
    There is a widely shared belief that the higher-level sciences can provide better explanations than lower-level sciences. But there is little agreement about exactly why this is so. It is often suggested that higher-level explanations are better because they omit details. I will argue instead that the preference for higher-level explanations is just a special case of our general preference for informative, logically strong, beliefs. I argue that our preference for informative beliefs entirely accounts for why higher-level explanations are sometimes (...)
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  37. Against Multiverse Theodicies.Bradley Monton - 2010 - Philo 13 (2):113-135.
    In reply to the problem of evil, some suggest that God created an infinite number of universes—for example, that God created every universe that contains more good than evil. I offer two objections to these multiverse theodicies. First, I argue that, for any number of universes God creates, he could have created more, because he could have created duplicates of universes. Next, I argue that multiverse theodicies can’t adequately account for why God would create universes with pointless suffering, and hence (...)
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  38. Desire-as-Belief Revisited.Richard Bradley & Christian List - 2009 - Analysis 69 (1):31-37.
    On Hume’s account of motivation, beliefs and desires are very different kinds of propositional attitudes. Beliefs are cognitive attitudes, desires emotive ones. An agent’s belief in a proposition captures the weight he or she assigns to this proposition in his or her cognitive representation of the world. An agent’s desire for a proposition captures the degree to which he or she prefers its truth, motivating him or her to act accordingly. Although beliefs and desires are sometimes entangled, they play very (...)
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  39. Time travel without causal loops.Bradley Monton - 2009 - Philosophical Quarterly 59 (234):54-67.
    It has sometimes been suggested that backwards time travel always incurs causal loops. I show that this is mistaken, by describing worlds where backwards time travel occurs and yet no causal loops occur. Arguments that backwards time travel can occur without causal loops have been given before in the literature, but I show that those arguments are unconvincing.
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  40. 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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  41. 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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  42. Quantification in the Ontology Room.Bradley Rettler - 2019 - Dialectica 73 (4):563-585.
    There is a growing movement towards construing some classic debates in ontology as meaningless, either because the answers seem obvious or the debates seem intractable. In this paper, I respond to this movement. The response has three components: First, the members of the two sides of the ontological debates that dismissivists have targeted are using different quantifiers. Second, the austere ontologist is using a more fundamental quantifier than her opponent. Third, the austere ontologist’s more fundamental quantifier is a restriction of (...)
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  43. (2 other versions)Prolegomena to any Future Physics-Based Metaphysics.Bradley Monton - 2010 - In Jonathan L. Kvanvig (ed.), Oxford Studies in Philosophy of Religion Volume. Oxford: Oxford University Press.
    Metaphysicians sometimes appeal to physics to establish claims about the fundamental nature of the world. But given the current state of inquiry in physics, where there are two most fundamental theories that are incompatible, such arguments of physics-based metaphysics are problematic. I support this line of thought by focussing on two sorts of problematic arguments, special-relativity-based arguments against presentism and big-bang-based arguments in favor of the existence of God. I am not arguing that physics-based metaphysics can’t be done; I am (...)
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  44. Pick the Sugar.Seamus Bradley - manuscript
    This paper presents a decision problem called the holiday puzzle. The decision problem is one that involves incommensurable goods and sequences of choices. This puzzle points to a tension between three prima facie plausible, but jointly incompatible claims. I present a way out of the trilemma which demonstrates that it is possible for agents to have incomplete preferences and to be dynamically rational. The solution also suggests that the relationship between preference and rational permission is more subtle than standardly assumed.
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  45. The doomsday argument without knowledge of birth rank.Bradley Monton - 2003 - Philosophical Quarterly 53 (210):79–82.
    The Carter-Leslie Doomsday argument, as standardly presented, relies on the assumption that you have knowledge of your approximate birth rank. I demonstrate that the Doomsday argument can still be given in a situation where you have no knowledge of your birth rank. This allows one to reply to Bostrom's defense of the Doomsday argument against the refutation based on the idea that your existence makes it more likely that many observers exist.
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  46. Conceptual Engineering Using Large Language Models.Bradley Allen - manuscript
    We describe a method, based on Jennifer Nado's definition of classification procedures as targets of conceptual engineering, that implements such procedures using a large language model. We then apply this method using data from the Wikidata knowledge graph to evaluate concept definitions from two paradigmatic conceptual engineering projects: the International Astronomical Union's redefinition of PLANET and Haslanger's ameliorative analysis of WOMAN. We discuss implications of this work for the theory and practice of conceptual engineering. The code and data can be (...)
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  47. Mixed strategies can't evade Pascal's Wager.Bradley Monton - 2011 - Analysis 71 (4):642-645.
    I defend Pascal's Wager from a particular way of evading it, the mixed strategy approach. The mixed strategies approach suggests that Pascal's Wager does not obligate one to believe in God, because one can get the same infinite expected utility from other strategies besides the strategy of believing in God. I will show that while there's nothing technically wrong with the mixed strategy approach, rationality requires it to be applied in such a way that Pascal's Wager doesn't lose any force.
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  48. (1 other version)Objective Bayesianism and the Abductivist Response to Scepticism.Darren Bradley - 2021 - Episteme 1:1-15.
    An important line of response to scepticism appeals to the best explanation. But anti-sceptics have not engaged much with work on explanation in the philosophy of science. I plan to investigate whether plausible assumptions about best explanations really do favour anti-scepticism. I will argue that there are ways of constructing sceptical hypotheses in which the assumptions do favour anti-scepticism, but the size of the support for anti-scepticism is small.
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  49. 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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  50. Quantum Mechanics and 3 N - Dimensional Space.Bradley Monton - 2006 - Philosophy of Science 73 (5):778-789.
    I maintain that quantum mechanics is fundamentally about a system of N particles evolving in three-dimensional space, not the wave function evolving in 3N-dimensional space.
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