Results for 'Frank Dietrich'

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Frank Dietrich
Heinrich-Heine-Universität Düsseldorf
  1. Consent as the Foundation of Political Authority - A Lockean Perspective.Frank Dietrich - 2014 - Rationality, Markets and Morals 5:64-78.
    The article focuses on the justification provided by classical contract theory for the right of states to enact laws and the corresponding obligation of political allegiance. First the distinction between political authority and parental authority developed by John Locke in his seminal work “Two Treatises of Government” is explored. Thereafter it is discussed why the interests the individuals have in the creation of a state fail to vindicate the exercise of governmental power. As regards David Hume’s influential objections to contract (...)
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  2. Jury Theorems.Franz Dietrich & Kai Spiekermann - 2021 - The Stanford Encyclopedia of Philosophy.
    Jury theorems are mathematical theorems about the ability of collectives to make correct decisions. Several jury theorems carry the optimistic message that, in suitable circumstances, ‘crowds are wise’: many individuals together (using, for instance, majority voting) tend to make good decisions, outperforming fewer or just one individual. Jury theorems form the technical core of epistemic arguments for democracy, and provide probabilistic tools for reasoning about the epistemic quality of collective decisions. The popularity of jury theorems spans across various disciplines such (...)
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  3. Probabilistic Opinion Pooling.Franz Dietrich & Christian List - 2016 - In Alan Hájek & Christopher Hitchcock (eds.), The Oxford Handbook of Probability and Philosophy. Oxford: Oxford University Press.
    Suppose several individuals (e.g., experts on a panel) each assign probabilities to some events. How can these individual probability assignments be aggregated into a single collective probability assignment? This article reviews several proposed solutions to this problem. We focus on three salient proposals: linear pooling (the weighted or unweighted linear averaging of probabilities), geometric pooling (the weighted or unweighted geometric averaging of probabilities), and multiplicative pooling (where probabilities are multiplied rather than averaged). We present axiomatic characterisations of each class of (...)
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  4. The impossibility of non-manipulable probability aggregation.Franz Dietrich & Christian List - 2023
    A probability aggregation rule assigns to each profile of probability functions across a group of individuals (representing their individual probability assignments to some propositions) a collective probability function (representing the group's probability assignment). The rule is “non-manipulable” if no group member can manipulate the collective probability for any proposition in the direction of his or her own probability by misrepresenting his or her probability function (“strategic voting”). We show that, except in trivial cases, no probability aggregation rule satisfying two mild (...)
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  5. Mentalism versus Behaviourism in Economics: A Philosophy-of-Science Perspective.Franz Dietrich & Christian List - 2016 - Economics and Philosophy 32 (2):249-281.
    Behaviourism is the view that preferences, beliefs, and other mental states in social-scientific theories are nothing but constructs re-describing people's behaviour. Mentalism is the view that they capture real phenomena, on a par with the unobservables in science, such as electrons and electromagnetic fields. While behaviourism has gone out of fashion in psychology, it remains influential in economics, especially in ‘revealed preference’ theory. We defend mentalism in economics, construed as a positive science, and show that it fits best scientific practice. (...)
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  6. Ectogestative Technology and the Beginning of Life.Lily Frank, Julia Hermann, Ilona Kavege & Anna Puzio - 2023 - In Ibo van de Poel (ed.), Ethics of Socially Disruptive Technologies: An Introduction. Cambridge, UK: Open Book Publishers. pp. 113–140.
    How could ectogestative technology disrupt gender roles, parenting practices, and concepts such as ‘birth’, ‘body’, or ‘parent’? In this chapter, we situate this emerging technology in the context of the history of reproductive technologies and analyse the potential social and conceptual disruptions to which it could contribute. An ectogestative device, better known as ‘artificial womb’, enables the extra-uterine gestation of a human being, or mammal more generally. It is currently developed with the main goal of improving the survival chances of (...)
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  7. Reason-based choice and context-dependence: An explanatory framework.Franz Dietrich & Christian List - 2016 - Economics and Philosophy 32 (2):175-229.
    We introduce a “reason-based” framework for explaining and predicting individual choices. It captures the idea that a decision-maker focuses on some but not all properties of the options and chooses an option whose motivationally salient properties he/she most prefers. Reason-based explanations allow us to distinguish between two kinds of context-dependent choice: the motivationally salient properties may (i) vary across choice contexts, and (ii) include not only “intrinsic” properties of the options, but also “context-related” properties. Our framework can accommodate boundedly rational (...)
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  8. Strategy-proof judgment aggregation.Franz Dietrich & Christian List - 2005 - Economics and Philosophy 23 (3):269-300.
    Which rules for aggregating judgments on logically connected propositions are manipulable and which not? In this paper, we introduce a preference-free concept of non-manipulability and contrast it with a preference-theoretic concept of strategy-proofness. We characterize all non-manipulable and all strategy-proof judgment aggregation rules and prove an impossibility theorem similar to the Gibbard--Satterthwaite theorem. We also discuss weaker forms of non-manipulability and strategy-proofness. Comparing two frequently discussed aggregation rules, we show that “conclusion-based voting” is less vulnerable to manipulation than “premise-based voting”, (...)
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  9. A Connecticut Yalie in King Descartes' Court.Eric Dietrich & Valerie Gray Hardcastle - 2002 - Newsletter of Cognitive Science Society (Now Defunct).
    What is consciousness? Of course, each of us knows, privately, what consciousness is. And we each think, for basically irresistible reasons, that all other conscious humans by and large have experiences like ours. So we conclude that we all know what consciousness is. It's the felt experiences of our lives. But that is not the answer we, as cognitive scientists, seek in asking our question. We all want to know what physical process consciousness is and why it produces this very (...)
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  10. Judgment aggregation by quota rules: Majority voting generalized.Franz Dietrich & Christian List - 2007 - Journal of Theoretical Politics 19 (4):391-424.
    The widely discussed "discursive dilemma" shows that majority voting in a group of individuals on logically connected propositions may produce irrational collective judgments. We generalize majority voting by considering quota rules, which accept each proposition if and only if the number of individuals accepting it exceeds a given threshold, where different thresholds may be used for different propositions. After characterizing quota rules, we prove necessary and sufficient conditions on the required thresholds for various collective rationality requirements. We also consider sequential (...)
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  11. Propositionwise judgment aggregation: the general case.Franz Dietrich & Christian List - 2013 - Social Choice and Welfare 40 (4):1067-1095.
    In the theory of judgment aggregation, it is known for which agendas of propositions it is possible to aggregate individual judgments into collective ones in accordance with the Arrow-inspired requirements of universal domain, collective rationality, unanimity preservation, non-dictatorship and propositionwise independence. But it is only partially known (e.g., only in the monotonic case) for which agendas it is possible to respect additional requirements, notably non-oligarchy, anonymity, no individual veto power, or implication preservation. We fully characterize the agendas for which there (...)
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  12.  58
    The Fallacy of Many Questions.Frank Fair - 1973 - Southwestern Journal of Philosophy 4 (1):89-92.
    In this article I explore two accounts of the Fallacy of Many Questions made famous by the question "Have you stopped beating your wife?" The accounts are from the works of Lennart Aqvist and Noel Belnap, and the two authors differ in their accounts of the fallacy. Then I give my own account based on understanding a facet of erotetic logic, i. e., the logic of questions.
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  13. Judgment aggregation with consistency alone.Franz Dietrich & Christian List - 2007 - Maastricht University.
    All existing impossibility theorems on judgment aggregation require individual and collective judgment sets to be consistent and complete, arguably a demanding rationality requirement. They do not carry over to aggregation functions mapping profiles of consistent individual judgment sets to consistent collective ones. We prove that, whenever the agenda of propositions under consideration exhibits mild interconnections, any such aggregation function that is "neutral" between the acceptance and rejection of each proposition is dictatorial. We relate this theorem to the literature.
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  14.  60
    Socrates in the schools: Gains at three-year follow-up.Frank Fair, Lory E. Haas, Carol Gardoski, Daphne Johnson, Debra Price & Olena Leipnik - 2015 - Journal of Philosophy in Schools 2 (2).
    Three recent research reports by Topping and Trickey, by Fair and colleagues, and by Gorard, Siddiqui and Huat See have produced data that support the conclusion that a Philosophy for Children program of one-hour-per-week structured discussions has a marked positive impact on students. This article presents data from a follow up study done three years after the completion of the study reported in Fair et al.. The data show that the positive gains in scores on the Cognitive Abilities Test were (...)
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  15. Anarchism: A Conceptual Approach.Benjamin Franks, Nathan Jun & Leonard Williams (eds.) - 2018 - London: Routledge.
    Anarchism is by far the least broadly understood ideology and the least studied academically. Though highly influential, both historically and in terms of recent social movements, anarchism is regularly dismissed. Anarchism: A Conceptual Approach is a welcome addition to this growing field, which is widely debated but poorly understood. Occupying a distinctive position in the study of anarchist ideology, this volume, authored by a handpicked group of established and rising scholars, investigates how anarchists often seek to sharpen their message and (...)
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  16. String Theory, Non-Empirical Theory Assessment, and the Context of Pursuit.Frank Cabrera - 2021 - Synthese 198:3671–3699.
    In this paper, I offer an analysis of the radical disagreement over the adequacy of string theory. The prominence of string theory despite its notorious lack of empirical support is sometimes explained as a troubling case of science gone awry, driven largely by sociological mechanisms such as groupthink (e.g. Smolin 2006). Others, such as Dawid (2013), explain the controversy by positing a methodological revolution of sorts, according to which string theorists have quietly turned to nonempirical methods of theory assessment given (...)
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  17. The Fate of Explanatory Reasoning in the Age of Big Data.Frank Cabrera - 2021 - Philosophy and Technology 34 (4):645-665.
    In this paper, I critically evaluate several related, provocative claims made by proponents of data-intensive science and “Big Data” which bear on scientific methodology, especially the claim that scientists will soon no longer have any use for familiar concepts like causation and explanation. After introducing the issue, in Section 2, I elaborate on the alleged changes to scientific method that feature prominently in discussions of Big Data. In Section 3, I argue that these methodological claims are in tension with a (...)
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  18. The problem of constrained judgment aggregation.Franz Dietrich & Christian List - 2009 - In Friedrich Stadler (ed.), The Present Situation in the Philosophy of Science. Dordrecht, Netherlands: Springer. pp. 125-139.
    Group decisions must often obey exogenous constraints. While in a preference aggregation problem constraints are modelled by restricting the set of feasible alternatives, this paper discusses the modelling of constraints when aggregating individual yes/no judgments on interconnected propositions. For example, court judgments in breach-of-contract cases should respect the constraint that action and obligation are necessary and sufficient for liability, and judgments on budget items should respect budgetary constraints. In this paper, we make constraints in judgment aggregation explicit by relativizing the (...)
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  19. Second Philosophy and Testimonial Reliability: Philosophy of Science for STEM Students.Frank Cabrera - 2021 - European Journal for Philosophy of Science (3):1-15.
    In this paper, I describe some strategies for teaching an introductory philosophy of science course to Science, Technology, Engineering, and Mathematics (STEM) students, with reference to my own experience teaching a philosophy of science course in the Fall of 2020. The most important strategy that I advocate is what I call the “Second Philosophy” approach, according to which instructors ought to emphasize that the problems that concern philosophers of science are not manufactured and imposed by philosophers from the outside, but (...)
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  20. `Now' and `Then': A Formal Study in the Logic of Tense Anaphora.Frank Vlach - 1973 - Dissertation, University of California Los Angeles
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  21. Can there be a Bayesian explanationism? On the prospects of a productive partnership.Frank Cabrera - 2017 - Synthese 194 (4):1245–1272.
    In this paper, I consider the relationship between Inference to the Best Explanation and Bayesianism, both of which are well-known accounts of the nature of scientific inference. In Sect. 2, I give a brief overview of Bayesianism and IBE. In Sect. 3, I argue that IBE in its most prominently defended forms is difficult to reconcile with Bayesianism because not all of the items that feature on popular lists of “explanatory virtues”—by means of which IBE ranks competing explanations—have confirmational import. (...)
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  22. There Is No Progress in Philosophy.Eric Dietrich - 2011 - Essays in Philosophy 12 (2):9.
    Except for a patina of twenty-first century modernity, in the form of logic and language, philosophy is exactly the same now as it ever was; it has made no progress whatsoever. We philosophers wrestle with the exact same problems the Pre-Socratics wrestled with. Even more outrageous than this claim, though, is the blatant denial of its obvious truth by many practicing philosophers. The No-Progress view is explored and argued for here. Its denial is diagnosed as a form of anosognosia, a (...)
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  23. What matters and how it matters: A choice-theoretic representation of moral theories.Franz Dietrich & Christian List - 2017 - Philosophical Review 126 (4):421-479.
    We present a new “reason-based” approach to the formal representation of moral theories, drawing on recent decision-theoretic work. We show that any moral theory within a very large class can be represented in terms of two parameters: a specification of which properties of the objects of moral choice matter in any given context, and a specification of how these properties matter. Reason-based representations provide a very general taxonomy of moral theories, as differences among theories can be attributed to differences in (...)
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  24. Arrow's theorem in judgment aggregation.Franz Dietrich & Christian List - 2007 - Social Choice and Welfare 29 (1):19-33.
    In response to recent work on the aggregation of individual judgments on logically connected propositions into collective judgments, it is often asked whether judgment aggregation is a special case of Arrowian preference aggregation. We argue for the converse claim. After proving two impossibility theorems on judgment aggregation (using "systematicity" and "independence" conditions, respectively), we construct an embedding of preference aggregation into judgment aggregation and prove Arrow’s theorem (stated for strict preferences) as a corollary of our second result. Although we thereby (...)
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  25. Explanatory pluralism in cognitive science.Rick Dale, Eric Dietrich & Anthony Chemero - 2009 - Cognitive Science 33 (2):739-742.
    This brief commentary has three goals. The first is to argue that ‘‘framework debate’’ in cognitive science is unresolvable. The idea that one theory or framework can singly account for the vast complexity and variety of cognitive processes seems unlikely if not impossible. The second goal is a consequence of this: We should consider how the various theories on offer work together in diverse contexts of investigation. A final goal is to supply a brief review for readers who are compelled (...)
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  26. Decision under normative uncertainty.Franz Dietrich & Brian Jabarian - 2022 - Economics and Philosophy 38 (3):372-394.
    While ordinary decision theory focuses on empirical uncertainty, real decision-makers also face normative uncertainty: uncertainty about value itself. From a purely formal perspective, normative uncertainty is comparable to (Harsanyian or Rawlsian) identity uncertainty in the 'original position', where one's future values are unknown. A comprehensive decision theory must address twofold uncertainty -- normative and empirical. We present a simple model of twofold uncertainty, and show that the most popular decision principle -- maximising expected value (`Expectationalism') -- has different formulations, namely (...)
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  27. A Reason-Based Theory of Rational Choice.Franz Dietrich & Christian List - 2011 - Noûs 47 (1):104-134.
    There is a surprising disconnect between formal rational choice theory and philosophical work on reasons. The one is silent on the role of reasons in rational choices, the other rarely engages with the formal models of decision problems used by social scientists. To bridge this gap, we propose a new, reason-based theory of rational choice. At its core is an account of preference formation, according to which an agent’s preferences are determined by his or her motivating reasons, together with a (...)
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  28. Judgment aggregation: (Im)possibility theorems.Franz Dietrich - 2006 - Journal of Economic Theory 1 (126):286-298.
    The aggregation of individual judgments over interrelated propositions is a newly arising field of social choice theory. I introduce several independence conditions on judgment aggregation rules, each of which protects against a specific type of manipulation by agenda setters or voters. I derive impossibility theorems whereby these independence conditions are incompatible with certain minimal requirements. Unlike earlier impossibility results, the main result here holds for any (non-trivial) agenda. However, independence conditions arguably undermine the logical structure of judgment aggregation. I therefore (...)
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  29. Program explanation: A general perspective.Frank Jackson & Philip Pettit - 1990 - Analysis 50 (2):107-17.
    Some properties are causally relevant for a certain effect, others are not. In this paper we describe a problem for our understanding of this notion and then offer a solution in terms of the notion of a program explanation.
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  30. Epistemic Democracy with Defensible Premises.Franz Dietrich & Kai Spiekermann - 2013 - Economics and Philosophy 29 (1):87--120.
    The contemporary theory of epistemic democracy often draws on the Condorcet Jury Theorem to formally justify the ‘wisdom of crowds’. But this theorem is inapplicable in its current form, since one of its premises – voter independence – is notoriously violated. This premise carries responsibility for the theorem's misleading conclusion that ‘large crowds are infallible’. We prove a more useful jury theorem: under defensible premises, ‘large crowds are fallible but better than small groups’. This theorem rehabilitates the importance of deliberation (...)
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  31. A generalised model of judgment aggregation.Franz Dietrich - 2007 - Social Choice and Welfare 4 (28):529-565.
    The new field of judgment aggregation aims to merge many individual sets of judgments on logically interconnected propositions into a single collective set of judgments on these propositions. Judgment aggregation has commonly been studied using classical propositional logic, with a limited expressive power and a problematic representation of conditional statements ("if P then Q") as material conditionals. In this methodological paper, I present a simple unified model of judgment aggregation in general logics. I show how many realistic decision problems can (...)
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  32. Self-locating Priors and Cosmological Measures.Frank Arntzenius & Cian Dorr - 2017 - In Khalil Chamcham, John Barrow, Simon Saunders & Joe Silk (eds.), The Philosophy of Cosmology. Cambridge: Cambridge University Press. pp. 396-428.
    We develop a Bayesian framework for thinking about the way evidence about the here and now can bear on hypotheses about the qualitative character of the world as a whole, including hypotheses according to which the total population of the world is infinite. We show how this framework makes sense of the practice cosmologists have recently adopted in their reasoning about such hypotheses.
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  33. Making metaethics work for AI: realism and anti-realism.Michal Klincewicz & Lily E. Frank - 2018 - In Mark Coeckelbergh, M. Loh, J. Funk, M. Seibt & J. Nørskov (eds.), Envisioning Robots in Society – Power, Politics, and Public Space. pp. 311-318.
    Engineering an artificial intelligence to play an advisory role in morally charged decision making will inevitably introduce meta-ethical positions into the design. Some of these positions, by informing the design and operation of the AI, will introduce risks. This paper offers an analysis of these potential risks along the realism/anti-realism dimension in metaethics and reveals that realism poses greater risks, but, on the other hand, anti-realism undermines the motivation for engineering a moral AI in the first place.
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  34. A Broomean Model of Rationality and Reasoning.Franz Dietrich, Antonios Staras & Robert Sugden - 2019 - Journal of Philosophy 116 (11):585-614.
    John Broome has developed an account of rationality and reasoning which gives philosophical foundations for choice theory and the psychology of rational agents. We formalize his account into a model that differs from ordinary choice-theoretic models through focusing on psychology and the reasoning process. Within that model, we ask Broome’s central question of whether reasoning can make us more rational: whether it allows us to acquire transitive preferences, consistent beliefs, non-akratic intentions, and so on. We identify three structural types of (...)
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  35. Does IBE Require a ‘Model’ of Explanation?Frank Cabrera - 2020 - British Journal for the Philosophy of Science 71 (2):727-750.
    In this article, I consider an important challenge to the popular theory of scientific inference commonly known as ‘inference to the best explanation’, one that has received scant attention.1 1 The problem is that there exists a wide array of rival models of explanation, thus leaving IBE objectionably indeterminate. First, I briefly introduce IBE. Then, I motivate the problem and offer three potential solutions, the most plausible of which is to adopt a kind of pluralism about the rival models of (...)
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  36.  97
    Modeling Action: Recasting the Causal Theory.Megan Fritts & Frank Cabrera - forthcoming - Analytic Philosophy.
    Contemporary action theory is generally concerned with giving theories of action ontology. In this paper, we make the novel proposal that the standard view in action theory—the Causal Theory of Action—should be recast as a “model”, akin to the models constructed and investigated by scientists. Such models often consist in fictional, hypothetical, or idealized structures, which are used to represent a target system indirectly via some resemblance relation. We argue that recasting the Causal Theory as a model can not only (...)
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  37. Probabilistic Opinion Pooling Generalized. Part One: General Agendas.Franz Dietrich & Christian List - 2017 - Social Choice and Welfare 48 (4):747–786.
    How can different individuals' probability assignments to some events be aggregated into a collective probability assignment? Classic results on this problem assume that the set of relevant events -- the agenda -- is a sigma-algebra and is thus closed under disjunction (union) and conjunction (intersection). We drop this demanding assumption and explore probabilistic opinion pooling on general agendas. One might be interested in the probability of rain and that of an interest-rate increase, but not in the probability of rain or (...)
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  38. Explanation and Cognition.Frank C. Keil & Robert A. Wilson - 2000 - MIT Press. Edited by Frank C. Keil & Robert A. Wilson.
    These essays draw on work in the history and philosophy of science, the philosophy of mind and language, the development of concepts in children, conceptual..
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  39. Provability logics for relative interpretability.Frank Veltman & Dick De Jongh - 1990 - In Petio Petrov Petkov (ed.), Mathematical Logic. Proceedings of the Heyting '88 Summer School. New York, NY, USA: pp. 31-42.
    In this paper the system IL for relative interpretability is studied.
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  40. Distributive justice as an ethical principle for autonomous vehicle behavior beyond hazard scenarios.Manuel Dietrich & Thomas H. Weisswange - 2019 - Ethics and Information Technology 21 (3):227-239.
    Through modern driver assistant systems, algorithmic decisions already have a significant impact on the behavior of vehicles in everyday traffic. This will become even more prominent in the near future considering the development of autonomous driving functionality. The need to consider ethical principles in the design of such systems is generally acknowledged. However, scope, principles and strategies for their implementations are not yet clear. Most of the current discussions concentrate on situations of unavoidable crashes in which the life of human (...)
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  41. Inference to the Best Explanation - An Overview.Frank Cabrera - 2022 - In Lorenzo Magnani (ed.), Handbook of Abductive Cognition. Cham: Springer. pp. 1-34.
    In this article, I will provide a critical overview of the form of non-deductive reasoning commonly known as “Inference to the Best Explanation” (IBE). Roughly speaking, according to IBE, we ought to infer the hypothesis that provides the best explanation of our evidence. In section 2, I survey some contemporary formulations of IBE and highlight some of its putative applications. In section 3, I distinguish IBE from C.S. Peirce’s notion of abduction. After underlining some of the essential elements of IBE, (...)
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  42. 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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  43. Independent Opinions? On the Causal Foundations of Belief Formation and Jury Theorems.Franz Dietrich & Kai Spiekermann - 2013 - Mind 122 (487):655-685.
    Democratic decision-making is often defended on grounds of the ‘wisdom of crowds’: decisions are more likely to be correct if they are based on many independent opinions, so a typical argument in social epistemology. But what does it mean to have independent opinions? Opinions can be probabilistically dependent even if individuals form their opinion in causal isolation from each other. We distinguish four probabilistic notions of opinion independence. Which of them holds depends on how individuals are causally affected by environmental (...)
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  44. Levels of explicability for medical artificial intelligence: What do we normatively need and what can we technically reach?Frank Ursin, Felix Lindner, Timo Ropinski, Sabine Salloch & Cristian Timmermann - 2023 - Ethik in der Medizin 35 (2):173-199.
    Definition of the problem The umbrella term “explicability” refers to the reduction of opacity of artificial intelligence (AI) systems. These efforts are challenging for medical AI applications because higher accuracy often comes at the cost of increased opacity. This entails ethical tensions because physicians and patients desire to trace how results are produced without compromising the performance of AI systems. The centrality of explicability within the informed consent process for medical AI systems compels an ethical reflection on the trade-offs. Which (...)
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  45. A model of jury decisions where all jurors have the same evidence.Franz Dietrich & Christian List - 2004 - Synthese 142 (2):175 - 202.
    Under the independence and competence assumptions of Condorcet’s classical jury model, the probability of a correct majority decision converges to certainty as the jury size increases, a seemingly unrealistic result. Using Bayesian networks, we argue that the model’s independence assumption requires that the state of the world (guilty or not guilty) is the latest common cause of all jurors’ votes. But often – arguably in all courtroom cases and in many expert panels – the latest such common cause is a (...)
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  46. Belief revision generalized: A joint characterization of Bayes's and Jeffrey's rules.Franz Dietrich, Christian List & Richard Bradley - 2016 - Journal of Economic Theory 162:352-371.
    We present a general framework for representing belief-revision rules and use it to characterize Bayes's rule as a classical example and Jeffrey's rule as a non-classical one. In Jeffrey's rule, the input to a belief revision is not simply the information that some event has occurred, as in Bayes's rule, but a new assignment of probabilities to some events. Despite their differences, Bayes's and Jeffrey's rules can be characterized in terms of the same axioms: "responsiveness", which requires that revised beliefs (...)
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  47. Prefaces, Knowledge, and Questions.Frank Hong - 2023 - Ergo: An Open Access Journal of Philosophy 10.
    The Preface Paradox is often discussed for its implications for rational belief. Much less discussed is a variant of the Preface Paradox for knowledge. In this paper, I argue that the most plausible closure-friendly resolution to the Preface Paradox for Knowledge is to say that in any given context, we do not know much. I call this view “Socraticism”. I argue that Socraticism is the most plausible view on two accounts—(1) this view is compatible with the claim that most of (...)
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  48. Discrete thoughts: Why cognition must use discrete representations.Eric Dietrich & Arthur B. Markman - 2003 - Mind and Language 18 (1):95-119.
    Advocates of dynamic systems have suggested that higher mental processes are based on continuous representations. In order to evaluate this claim, we first define the concept of representation, and rigorously distinguish between discrete representations and continuous representations. We also explore two important bases of representational content. Then, we present seven arguments that discrete representations are necessary for any system that must discriminate between two or more states. It follows that higher mental processes require discrete representations. We also argue that discrete (...)
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  49. Judgment aggregation without full rationality.Franz Dietrich & Christian List - 2008 - Social Choice and Welfare 31:15-39.
    Several recent results on the aggregation of judgments over logically connected propositions show that, under certain conditions, dictatorships are the only propositionwise aggregation functions generating fully rational (i.e., complete and consistent) collective judgments. A frequently mentioned route to avoid dictatorships is to allow incomplete collective judgments. We show that this route does not lead very far: we obtain oligarchies rather than dictatorships if instead of full rationality we merely require that collective judgments be deductively closed, arguably a minimal condition of (...)
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  50. Aggregation Theory and the Relevance of Some Issues to Others.Franz Dietrich - 2015 - Journal of Economic Theory 160:463-493.
    I propose a relevance-based independence axiom on how to aggregate individual yes/no judgments on given propositions into collective judgments: the collective judgment on a proposition depends only on people’s judgments on propositions which are relevant to that proposition. This axiom contrasts with the classical independence axiom: the collective judgment on a proposition depends only on people’s judgments on the same proposition. I generalize the premise-based rule and the sequential-priority rule to an arbitrary priority order of the propositions, instead of a (...)
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