Results for 'Carl Bradley Becker'

592 found
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  1. Kant and the Problem of Self-Identification.Luca Forgione - 2015 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 22 (2):178-198.
    Ever since Strawson’s The Bounds of Sense, the transcendental apperception device has become a theoretical reference point to shed light on the criterionless selfascription form of mental states, reformulating a contemporary theoretical place tackled for the first time in explicit terms by Wittgenstein’s Blue Book. By investigating thoroughly some elements of the critical system the issue of the identification of the transcendental subject with reference to the I think will be singled out. In this respect, the debate presents at least (...)
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  2. The Transitivity and Asymmetry of Actual Causation.Sander Beckers & Joost Vennekens - 2017 - Ergo: An Open Access Journal of Philosophy 4:1-27.
    The counterfactual tradition to defining actual causation has come a long way since Lewis started it off. However there are still important open problems that need to be solved. One of them is the (in)transitivity of causation. Endorsing transitivity was a major source of trouble for the approach taken by Lewis, which is why currently most approaches reject it. But transitivity has never lost its appeal, and there is a large literature devoted to understanding why this is so. Starting from (...)
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  3. AAAI: an Argument Against Artificial Intelligence.Sander Beckers - 2017 - In Vincent C. Müller (ed.), Philosophy and theory of artificial intelligence 2017. Berlin: Springer. pp. 235-247.
    The ethical concerns regarding the successful development of an Artificial Intelligence have received a lot of attention lately. The idea is that even if we have good reason to believe that it is very unlikely, the mere possibility of an AI causing extreme human suffering is important enough to warrant serious consideration. Others look at this problem from the opposite perspective, namely that of the AI itself. Here the idea is that even if we have good reason to believe that (...)
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  4. 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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  5. 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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    A Causal Analysis of Harm.Sander Beckers, Hana Chockler & Joseph Y. Halpern - 2024 - Minds and Machines 34 (3):1-24.
    As autonomous systems rapidly become ubiquitous, there is a growing need for a legal and regulatory framework that addresses when and how such a system harms someone. There have been several attempts within the philosophy literature to define harm, but none of them has proven capable of dealing with the many examples that have been presented, leading some to suggest that the notion of harm should be abandoned and “replaced by more well-behaved notions”. As harm is generally something that is (...)
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  7. 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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  8. 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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  9. Enough is too much: the excessiveness objection to sufficientarianism.Carl Knight - 2022 - Economics and Philosophy 38 (2):275-299.
    The standard version of sufficientarianism maintains that providing people with enough, or as close to enough as is possible, is lexically prior to other distributive goals. This article argues that this is excessive – more than distributive justice allows – in four distinct ways. These concern the magnitude of advantage, the number of beneficiaries, responsibility and desert, and above-threshold distribution. Sufficientarians can respond by accepting that providing enough unconditionally is more than distributive justice allows, instead balancing sufficiency against other considerations.
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  10. 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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  11. Can We have Justified Beliefs about Fundamental Properties?Darren Bradley - 2023 - Philosophical Quarterly 74 (1):46-67.
    An attractive picture of the world is that some features are metaphysically fundamental and others are derivative, with the derivative features grounded in the fundamental features. But how do we have justified beliefs about which features are fundamental? What is the epistemology of fundamentality? I sketch a response in this paper. The guiding idea is that the same properties cause the same experiences. I argue that a probabilistic connection between epistemic fundamentality and metaphysical fundamentality is sufficient for justified beliefs about (...)
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  12. How Much Should Governments Pay to Prevent Catastrophes? Longtermism's Limited Role.Carl Shulman & Elliott Thornley - forthcoming - In Jacob Barrett, Hilary Greaves & David Thorstad (eds.), Essays on Longtermism. Oxford University Press.
    Longtermists have argued that humanity should significantly increase its efforts to prevent catastrophes like nuclear wars, pandemics, and AI disasters. But one prominent longtermist argument overshoots this conclusion: the argument also implies that humanity should reduce the risk of existential catastrophe even at extreme cost to the present generation. This overshoot means that democratic governments cannot use the longtermist argument to guide their catastrophe policy. In this paper, we show that the case for preventing catastrophe does not depend on longtermism. (...)
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  13. Everettian Confirmation and Sleeping Beauty: Reply to Wilson.Darren Bradley - 2015 - British Journal for the Philosophy of Science 66 (3):683-693.
    In Bradley, I offered an analysis of Sleeping Beauty and the Everettian interpretation of quantum mechanics. I argued that one can avoid a kind of easy confirmation of EQM by paying attention to observation selection effects, that halfers are right about Sleeping Beauty, and that thirders cannot avoid easy confirmation for the truth of EQM. Wilson agrees with my analysis of observation selection effects in EQM, but goes on to, first, defend Elga’s thirder argument on Sleeping Beauty and, second, (...)
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  14. 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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  15. 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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  16. 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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  17. 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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  18. 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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  19. When betting odds and credences come apart: more worries for Dutch book arguments.Darren Bradley & Hannes Leitgeb - 2006 - Analysis 66 (2):119-127.
    If an agent believes that the probability of E being true is 1/2, should she accept a bet on E at even odds or better? Yes, but only given certain conditions. This paper is about what those conditions are. In particular, we think that there is a condition that has been overlooked so far in the literature. We discovered it in response to a paper by Hitchcock (2004) in which he argues for the 1/3 answer to the Sleeping Beauty problem. (...)
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  20. 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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  21. Against 3N-Dimensional Space.Bradley Monton - 2013 - In Alyssa Ney & David Albert (eds.), The Wave Function: Essays in the Metaphysics of Quantum Mechanics. , US: Oxford University Press.
    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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  22. Counterfactual Desirability.Richard Bradley & H. Orii Stefansson - 2017 - British Journal for the Philosophy of Science 68 (2):485-533.
    The desirability of what actually occurs is often influenced by what could have been. Preferences based on such value dependencies between actual and counterfactual outcomes generate a class of problems for orthodox decision theory, the best-known perhaps being the so-called Allais Paradox. In this paper we solve these problems by extending Richard Jeffrey's decision theory to counterfactual prospects, using a multidimensional possible-world semantics for conditionals, and showing that preferences that are sensitive to counterfactual considerations can still be desirability maximising. We (...)
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  23. An Absolutist Theory of Faultless Disagreement in Aesthetics.Carl Baker & Jon Robson - 2017 - Pacific Philosophical Quarterly 98 (3):429-448.
    Some philosophers writing on the possibility of faultless disagreement have argued that the only way to account for the intuition that there could be disagreements which are faultless in every sense is to accept a relativistic semantics. In this article we demonstrate that this view is mistaken by constructing an absolutist semantics for a particular domain – aesthetic discourse – which allows for the possibility of genuinely faultless disagreements. We argue that this position is an improvement over previous absolutist responses (...)
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  24. Properties as Truthmakers.Bradley Rettler - 2024 - In Anna Sofia Maurin & Anthony Fisher (eds.), Routledge Handbook on Properties. pp. 38-47.
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  25. 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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  26. In defense of picturing; Sellars’s philosophy of mind and cognitive neuroscience.Carl B. Sachs - 2019 - Phenomenology and the Cognitive Sciences 18 (4):669-689.
    I argue that Sellars’s distinction between signifying and picturing should be taken seriously by philosophers of mind, language, and cognition. I begin with interpretations of key Sellarsian texts in order to show that picturing is best understood as a theory of non-linguistic cognitive representations through which animals navigate their environments. This is distinct from the kind of discursive cognition that Sellars called ‘signifying’ and which is best understood in terms of socio-linguistic inferences. I argue that picturing is required because reflection (...)
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  27. Carnap’s epistemological critique of metaphysics.Darren Bradley - 2018 - Synthese 195 (5):2247-2265.
    Many who take a dismissive attitude towards metaphysics trace their view back to Carnap’s ‘Empiricism, Semantics and Ontology’. But the reason Carnap takes a dismissive attitude to metaphysics is a matter of controversy. I will argue that no reason is given in ‘Empiricism, Semantics and Ontology’, and this is because his reason for rejecting metaphysical debates was given in ‘Pseudo-Problems in Philosophy’. The argument there assumes verificationism, but I will argue that his argument survives the rejection of verificationism. The root (...)
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  28. 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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  29. back to the question of ontology.Jonas Rafael Becker Arenhart & Raoni Wohnrath Arroyo - 2021 - Manuscrito 44 (2):1-51.
    We articulate a distinction between ontology, understood as involving existence questions, and metaphysics, understood as either providing for metaphysical profiles of entities or else as dealing with fundamentality and/or grounding and dependence questions. The distinction, we argue, allows a better understanding of the roles of metaontology and metametaphysics when it comes to discussing the relations between ontology and science on the one hand, and metaphysics and science on the other. We argue that while ontology, as understood in this paper, may (...)
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  30. Constitutive relevance & mutual manipulability revisited.Carl F. Craver, Stuart Glennan & Mark Povich - 2021 - Synthese 199 (3-4):8807-8828.
    An adequate understanding of the ubiquitous practice of mechanistic explanation requires an account of what Craver termed “constitutive relevance.” Entities or activities are constitutively relevant to a phenomenon when they are parts of the mechanism responsible for that phenomenon. Craver’s mutual manipulability account extended Woodward’s account of manipulationist counterfactuals to analyze how interlevel experiments establish constitutive relevance. Critics of MM argue that applying Woodward’s account to this philosophical problem conflates causation and constitution, thus rendering the account incoherent. These criticisms, we (...)
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  31. Climate Change Assessments: Confidence, Probability, and Decision.Richard Bradley, Casey Helgeson & Brian Hill - 2017 - Philosophy of Science 84 (3):500–522.
    The Intergovernmental Panel on Climate Change has developed a novel framework for assessing and communicating uncertainty in the findings published in their periodic assessment reports. But how should these uncertainty assessments inform decisions? We take a formal decision-making perspective to investigate how scientific input formulated in the IPCC’s novel framework might inform decisions in a principled way through a normative decision model.
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  32. Confirmation in a Branching World: The Everett Interpretation and Sleeping Beauty.Darren Bradley - 2011 - British Journal for the Philosophy of Science 62 (2):323-342.
    Sometimes we learn what the world is like, and sometimes we learn where in the world we are. Are there any interesting differences between the two kinds of cases? The main aim of this article is to argue that learning where we are in the world brings into view the same kind of observation selection effects that operate when sampling from a population. I will first explain what observation selection effects are ( Section 1 ) and how they are relevant (...)
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  33. The role of disagreement in semantic theory.Carl Baker - 2013 - Australasian Journal of Philosophy (1):1-18.
    Arguments from disagreement often take centre stage in debates between competing semantic theories. This paper explores the theoretical basis for arguments from disagreement and, in so doing, proposes methodological principles which allow us to distinguish between legitimate arguments from disagreement and dialectically ineffective arguments from disagreement. In the light of these principles, I evaluate Cappelen and Hawthorne's [2009] argument from disagreement against relativism, and show that it fails to undermine relativism since it is dialectically ineffective. Nevertheless, I argue that an (...)
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  34. Pseudoscience.Bradley Monton - 2013 - In Martin Curd & Stathis Psillos (eds.), Routledge Companion to Philosophy of Science, Second Edition. Routledge. pp. 468-479.
    I insightfully discuss the question: what is pseudoscience?
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  35. Dialogical Dasein: Heidegger on "Being-with," "Discourse," and "Solicitude".Bradley Warfield - 2016 - Janus Head 15 (1):63-85.
    In this paper, I shall show how Heidegger’s notions of Dasein’s “Being-with” (Mitsein), “discourse” (Rede), and “solicitude” (Fursorge) illustrate how he has a conception of the dialogical in Being and Time. There are at least three advantages to proposing that Heidegger is a dialogist in Being and Time. First, this paradigm offers an alternative, and more perspicuous, vocabulary for describing the discursive nature of Dasein’s Being-in-the-world as a Being-with others. Second, it provides a better way of recognizing and understanding the (...)
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  36. 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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  37. 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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  38. A Relevant Alternatives Solution to the Bootstrapping and Self-Knowledge Problems.Darren Bradley - 2014 - Journal of Philosophy 111 (7):379-393.
    The main argument given for relevant alternatives theories of knowledge has been that they answer scepticism about the external world. I will argue that relevant alternatives also solve two other problems that have been much discussed in recent years, a) the bootstrapping problem and b) the apparent conflict between semantic externalism and armchair self-knowledge. Furthermore, I will argue that scepticism and Mooreanism can be embedded within the relevant alternatives framework.
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  39. 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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  40. 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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  41. Egalitarian Justice and Expected Value.Carl Knight - 2013 - Ethical Theory and Moral Practice 16 (5):1061-1073.
    According to all-luck egalitarianism, the differential distributive effects of both brute luck, which defines the outcome of risks which are not deliberately taken, and option luck, which defines the outcome of deliberate gambles, are unjust. Exactly how to correct the effects of option luck is, however, a complex issue. This article argues that (a) option luck should be neutralized not just by correcting luck among gamblers, but among the community as a whole, because it would be unfair for gamblers as (...)
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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. 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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  44. Prayer-bots and religious worship on Twitter: a call for a wider research agenda.Carl Öhman, Robert Gorwa & Luciano Floridi - 2019 - Minds and Machines 29 (2):331-338.
    The automation of online social life is an urgent issue for researchers and the public alike. However, one of the most significant uses of such technologies seems to have gone largely unnoticed by the research community: religion. Focusing on Islamic Prayer Apps, which automatically post prayers from its users’ accounts, we show that even one such service is already responsible for millions of tweets daily, constituting a significant portion of Arabic-language Twitter traffic. We argue that the fact that a phenomenon (...)
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  45. Aggregating Causal Judgments.Richard Bradley, Franz Dietrich & Christian List - 2014 - Philosophy of Science 81 (4):491-515.
    Decision-making typically requires judgments about causal relations: we need to know the causal effects of our actions and the causal relevance of various environmental factors. We investigate how several individuals' causal judgments can be aggregated into collective causal judgments. First, we consider the aggregation of causal judgments via the aggregation of probabilistic judgments, and identify the limitations of this approach. We then explore the possibility of aggregating causal judgments independently of probabilistic ones. Formally, we introduce the problem of causal-network aggregation. (...)
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  46. Bilimsel Araştırma: Buluş ve Sınama.Carl G. Hempel - 2013 - İnsancıl 271:25-35. Translated by Alper Yavuz.
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  47. 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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  48. 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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  49. How to predict future duration from present age.Bradley Monton & Brian Kierland - 2006 - Philosophical Quarterly 56 (222):16-38.
    The physicist J. Richard Gott has given an argument which, if good, allows one to make accurate predictions for the future longevity of a process, based solely on its present age. We show that there are problems with some of the details of Gott's argument, but we defend the core thesis: in many circumstances, the greater the present age of a process, the more likely a longer future duration.
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  50. The directionality of distinctively mathematical explanations.Carl F. Craver & Mark Povich - 2017 - Studies in History and Philosophy of Science Part A 63:31-38.
    In “What Makes a Scientific Explanation Distinctively Mathematical?” (2013b), Lange uses several compelling examples to argue that certain explanations for natural phenomena appeal primarily to mathematical, rather than natural, facts. In such explanations, the core explanatory facts are modally stronger than facts about causation, regularity, and other natural relations. We show that Lange's account of distinctively mathematical explanation is flawed in that it fails to account for the implicit directionality in each of his examples. This inadequacy is remediable in each (...)
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