Results for 'Belief aggregation'

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  1. Group disagreement: a belief aggregation perspective.Mattias Skipper & Asbjørn Steglich-Petersen - 2019 - Synthese 196 (10):4033-4058.
    The debate on the epistemology of disagreement has so far focused almost exclusively on cases of disagreement between individual persons. Yet, many social epistemologists agree that at least certain kinds of groups are equally capable of having beliefs that are open to epistemic evaluation. If so, we should expect a comprehensive epistemology of disagreement to accommodate cases of disagreement between group agents, such as juries, governments, companies, and the like. However, this raises a number of fundamental questions concerning what it (...)
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  2. From Degrees of Belief to Binary Beliefs: Lessons from Judgment-Aggregation Theory.Franz Dietrich & Christian List - 2018 - Journal of Philosophy 115 (5):225-270.
    What is the relationship between degrees of belief and binary beliefs? Can the latter be expressed as a function of the former—a so-called “belief-binarization rule”—without running into difficulties such as the lottery paradox? We show that this problem can be usefully analyzed from the perspective of judgment-aggregation theory. Although some formal similarities between belief binarization and judgment aggregation have been noted before, the connection between the two problems has not yet been studied in full generality. (...)
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  3. The joint aggregation of beliefs and degrees of belief.Paul D. Thorn - 2018 - Synthese 197 (12):5389-5409.
    The article proceeds upon the assumption that the beliefs and degrees of belief of rational agents satisfy a number of constraints, including: consistency and deductive closure for belief sets, conformity to the axioms of probability for degrees of belief, and the Lockean Thesis concerning the relationship between belief and degree of belief. Assuming that the beliefs and degrees of belief of both individuals and collectives satisfy the preceding three constraints, I discuss what further constraints (...)
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  4. Aggregating with reason.Fabrizio Cariani - 2013 - Synthese 190 (15):3123-3147.
    Judgment aggregation is naturally applied to the modeling of collective attitudes. In the individual case, we represent agents as having not just beliefs, but also as supporting them with reasons. Can the Judgment Aggregation help model a concept of collective reason? I argue that the resources of the standard judgment aggregation framework are insufficiently general. I develop a generalization of the framework that improves along this dimension. In the new framework, new aggregation rules become available, as (...)
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  5. The aggregation of propositional attitudes: Towards a general theory.Franz Dietrich & Christian List - 2010 - Oxford Studies in Epistemology 3.
    How can the propositional attitudes of several individuals be aggregated into overall collective propositional attitudes? Although there are large bodies of work on the aggregation of various special kinds of propositional attitudes, such as preferences, judgments, probabilities and utilities, the aggregation of propositional attitudes is seldom studied in full generality. In this paper, we seek to contribute to filling this gap in the literature. We sketch the ingredients of a general theory of propositional attitude aggregation and prove (...)
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  6. Acceptance, Aggregation and Scoring Rules.Jake Chandler - 2013 - Erkenntnis 78 (1):201-217.
    As the ongoing literature on the paradoxes of the Lottery and the Preface reminds us, the nature of the relation between probability and rational acceptability remains far from settled. This article provides a novel perspective on the matter by exploiting a recently noted structural parallel with the problem of judgment aggregation. After offering a number of general desiderata on the relation between finite probability models and sets of accepted sentences in a Boolean sentential language, it is noted that a (...)
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  7. Aggregating agents with opinions about different propositions.Richard Pettigrew - 2022 - Synthese 200 (5):1-25.
    There are many reasons we might want to take the opinions of various individuals and pool them to give the opinions of the group they constitute. If all the individuals in the group have probabilistic opinions about the same propositions, there is a host of pooling functions we might deploy, such as linear or geometric pooling. However, there are also cases where different members of the group assign probabilities to different sets of propositions, which might overlap a lot, a little, (...)
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  8. Aggregation for potentially infinite populations without continuity or completeness.David McCarthy, Kalle M. Mikkola & J. Teruji Thomas - 2019 - arXiv:1911.00872 [Econ.TH].
    We present an abstract social aggregation theorem. Society, and each individual, has a preorder that may be interpreted as expressing values or beliefs. The preorders are allowed to violate both completeness and continuity, and the population is allowed to be infinite. The preorders are only assumed to be represented by functions with values in partially ordered vector spaces, and whose product has convex range. This includes all preorders that satisfy strong independence. Any Pareto indifferent social preorder is then shown (...)
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  9. Belief dependence: How do the numbers count?Zach Barnett - 2019 - Philosophical Studies 176 (2):297-319.
    This paper is about how to aggregate outside opinion. If two experts are on one side of an issue, while three experts are on the other side, what should a non-expert believe? Certainly, the non-expert should take into account more than just the numbers. But which other factors are relevant, and why? According to the view developed here, one important factor is whether the experts should have been expected, in advance, to reach the same conclusion. When the agreement of two (...)
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  10. A Role for Judgment Aggregation in Coauthoring Scientific Papers.Liam Kofi Bright, Haixin Dang & Remco Heesen - 2017 - Erkenntnis 83 (2):231-252.
    This paper addresses the problem of judgment aggregation in science. How should scientists decide which propositions to assert in a collaborative document? We distinguish the question of what to write in a collaborative document from the question of collective belief. We argue that recent objections to the application of the formal literature on judgment aggregation to the problem of judgment aggregation in science apply to the latter, not the former question. The formal literature has introduced various (...)
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  11. Dynamically rational judgment aggregation.Franz Dietrich & Christian List - forthcoming - Social Choice and Welfare.
    Judgment-aggregation theory has always focused on the attainment of rational collective judgments. But so far, rationality has been understood in static terms: as coherence of judgments at a given time, defined as consistency, completeness, and/or deductive closure. This paper asks whether collective judgments can be dynamically rational, so that they change rationally in response to new information. Formally, a judgment aggregation rule is dynamically rational with respect to a given revision operator if, whenever all individuals revise their judgments (...)
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  12. Risky belief.Martin Smith - 2022 - Philosophy and Phenomenological Research 106 (3):597-611.
    In this paper I defend the claim that justification is closed under conjunction, and confront its most alarming consequence — that one can have justification for believing propositions that are unlikely to be true, given one's evidence.
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  13. (1 other version)Group Knowledge and Group Rationality: A Judgment Aggregation Perspective.Christian List - 2005 - Episteme 2 (1):25-38.
    In this paper, I introduce the emerging theory of judgment aggregation as a framework for studying institutional design in social epistemology. When a group or collective organization is given an epistemic task, its performance may depend on its ‘aggregation procedure’, i.e. its mechanism for aggregating the group members’ individual beliefs or judgments into corresponding collective beliefs or judgments endorsed by the group as a whole. I argue that a group’s aggregation procedure plays an important role in determining (...)
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  14. Fully Bayesian Aggregation.Franz Dietrich - 2021 - Journal of Economic Theory 194:105255.
    Can a group be an orthodox rational agent? This requires the group's aggregate preferences to follow expected utility (static rationality) and to evolve by Bayesian updating (dynamic rationality). Group rationality is possible, but the only preference aggregation rules which achieve it (and are minimally Paretian and continuous) are the linear-geometric rules, which combine individual values linearly and combine individual beliefs geometrically. Linear-geometric preference aggregation contrasts with classic linear-linear preference aggregation, which combines both values and beliefs linearly, but (...)
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  15. Philosophy Without Belief.Zach Barnett - 2019 - Mind 128 (509):109-138.
    Should we believe our controversial philosophical views? Recently, several authors have argued from broadly conciliationist premises that we should not. If they are right, we philosophers face a dilemma: If we believe our views, we are irrational. If we do not, we are not sincere in holding them. This paper offers a way out, proposing an attitude we can rationally take toward our views that can support sincerity of the appropriate sort. We should arrive at our views via a certain (...)
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  16. When Conciliation Frustrates the Epistemic Priorities of Groups.Mattias Skipper & Asbjørn Steglich-Petersen - 2020 - In Fernando Broncano-Berrocal & Adam Carter (eds.), The Epistemology of Group Disagreement. Routledge.
    Our aim in this chapter is to draw attention to what we see as a disturbing feature of conciliationist views of disagreement. Roughly put, the trouble is that conciliatory responses to in-group disagreement can lead to the frustration of a group's epistemic priorities: that is, the group's favoured trade-off between the "Jamesian goals" of truth-seeking and error-avoidance. We show how this problem can arise within a simple belief aggregation framework, and draw some general lessons about when the problem (...)
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  17. Introduction to the special issue “Beliefs in Groups” of Theory and Decision.Franz Dietrich & Wlodek Rabinowicz - 2018 - Theory and Decision 85 (1):1-4.
    This symposium in the overlap of philosophy and decision theory is described well by its title “Beliefs in Groups”. Each word in the title matters, with one intended ambiguity. The symposium is about beliefs rather than other attitudes such as preferences; these beliefs take the form of probabilities in the first three contributions, binary yes/no beliefs (‘judgments’) in the fourth contribution, and qualitative probabilities (‘probability grades’) in the fifth contribution. The beliefs occur in groups, which is ambiguous between beliefs of (...)
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  18. The Epistemic and the Deontic Preface Paradox.Lina M. Lissia & Jan Sprenger - manuscript
    This paper generalizes the (epistemic) preface paradox beyond the principle of belief aggregation and constructs a similar paradox for deontic reasoning. The analysis of the deontic case yields a solution strategy---restricting belief/obligation aggregation rather than giving it up altogether---that can be transferred to the epistemic case. Our proposal amounts to a reasonable compromise between two goals: (i) sticking to bridge principles between evidence and belief, such as the Lockean Thesis, and (ii) obtaining a sufficiently strong (...)
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  19. Wise Collectives.Abrol Fairweather - forthcoming - The Epistemic Life Of Collectives.
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  20. Three Kinds of Collective Attitudes.Christian List - 2014 - Erkenntnis 79 (S9):1601-1622.
    This paper offers a comparison of three different kinds of collective attitudes: aggregate, common, and corporate attitudes. They differ not only in their relationship to individual attitudes—e.g., whether they are “reducible” to individual attitudes—but also in the roles they play in relation to the collectives to which they are ascribed. The failure to distinguish them can lead to confusion, in informal talk as well as in the social sciences. So, the paper’s message is an appeal for disambiguation.
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  21. Believing is said of groups in many ways (and so it should be said of them in none).Richard Pettigrew -
    In the first half of this paper, I argue that group belief ascriptions are highly ambiguous. What's more, in many cases, neither the available contextual factors nor known pragmatic considerations are sufficient to allow the audience to identify which of the many possible meanings is intended. In the second half, I argue that this ambiguity often has bad consequences when a group belief ascription is heard and taken as testimony. And indeed it has these consequences even when the (...)
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  22. Mixing Expert Opinion.Brian Weatherson - manuscript
    This paper contributes to the project of articulating and defending the supra-Bayesian approach to judgment aggregation. I discuss three cases where a person is disposed to defer to two different experts, and ask how they should respond when they learn about the opinion of each. The guiding principles are that this learning should go by conditionalisation, and that they should aim to update on the evidence that the expert had updated on. But this doesn’t settle how the update on (...)
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  23. The Economic World View: Studies in the Ontology of Economics.Uskali Mäki (ed.) - 2001 - New York: Cambridge University Press.
    The beliefs of economists are not solely determined by empirical evidence in direct relation to the theories and models they hold. Economists hold 'ontological presuppositions', fundamental ideas about the nature of being which direct their thinking about economic behaviour. In this volume, leading philosophers and economists examine these hidden presuppositions, searching for a 'world view' of economics. What properties are attributed to human individuals in economic theories, and which are excluded? Does economic man exist? Do markets have an essence? Do (...)
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  24. Moral Archetypes - Ethics in Prehistory.Roberto Arruda - 2019 - Terra à Vista - ISBN-10: 1698168292 ISBN-13: 978-1698168296.
    ABSTRACT The philosophical tradition approaches to morals have their grounds predominantly on metaphysical and theological concepts and theories. Among the traditional ethics concepts, the most prominent is the Divine Command Theory (DCT). As per the DCT, God gives moral foundations to the humankind by its creation and through Revelation. Morality and Divinity are inseparable since the most remote civilization. These concepts submerge in a theological framework and are largely accepted by most followers of the three Abrahamic traditions: Judaism, Christianity, and (...)
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    Redundant Group Agency.Lars J. K. Moen - 2019 - Philosophy of the Social Sciences 49 (5):364–384.
    According to group-agent realism, treating groups as agents with their own intentional states, irreducible to those of the group members, helps us explain and predict the groups’ behavior. This paper challenges this view. When groups judge logically interconnected propositions, group members often have incentives to misrepresent their beliefs of propositions they care less about in order to increase the probability of their groups adopting their view of propositions they consider more important. Aggregating such untruthful judgments may lead to the group (...)
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  26. The Problem of Induction and the Problem of Free Will.Avijit Lahiri - manuscript
    This essay presents a point of view for looking at `free will', with the purpose of interpreting where exactly the freedom lies. For, freedom is what we mean by it. It compares the exercise of free will with the making of inferences, which usually is predominantly inductive in nature. The making of inference and the exercise of free will, both draw upon psychological resources that define our ‘selves’. I examine the constitution of the self of an individual, especially the involvement (...)
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  27. Rationality and Moral Risk: A Moderate Defense of Hedging.Christian Tarsney - 2017 - Dissertation, University of Maryland
    How should an agent decide what to do when she is uncertain not just about morally relevant empirical matters, like the consequences of some course of action, but about the basic principles of morality itself? This question has only recently been taken up in a systematic way by philosophers. Advocates of moral hedging claim that an agent should weigh the reasons put forward by each moral theory in which she has positive credence, considering both the likelihood that that theory is (...)
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  28. How Do Reasons Accrue?Shyam Nair - 2016 - In Errol Lord & Barry Maguire (eds.), Weighing Reasons. New York, NY: Oxford University Press USA. pp. 56–73.
    Reasons can interact in a variety of ways to determine what we ought to do or believe. And there can be cases where two reasons to do an act or have a belief are individually worse than a reason to not do that act or have that belief, but the reasons together are better than the reason to not do that act or have that belief. So the reasons together―which we can call the accrual of those reasons—can (...)
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  29. Logics for modelling collective attitudes.Daniele Porello - 2018 - Fundamenta Informaticae 158 (1-3):239-27.
    We introduce a number of logics to reason about collective propositional attitudes that are defined by means of the majority rule. It is well known that majoritarian aggregation is subject to irrationality, as the results in social choice theory and judgment aggregation show. The proposed logics for modelling collective attitudes are based on a substructural propositional logic that allows for circumventing inconsistent outcomes. Individual and collective propositional attitudes, such as beliefs, desires, obligations, are then modelled by means of (...)
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  30. Local Supermajorities.Fabrizio Cariani - 2016 - Erkenntnis 81 (2):391-406.
    This paper explores two non-standard supermajority rules in the context of judgment aggregation over multiple logically connected issues. These rules set the supermajority threshold in a local, context sensitive way—partly as a function of the input profile of opinions. To motivate the interest of these rules, I prove two results. First, I characterize each rule in terms of a condition I call ‘Block Preservation’. Block preservation says that if a majority of group members accept a judgment set, then so (...)
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  31. An Analysis of the Interaction Between Intelligent Software Agents and Human Users.Christopher Burr, Nello Cristianini & James Ladyman - 2018 - Minds and Machines 28 (4):735-774.
    Interactions between an intelligent software agent and a human user are ubiquitous in everyday situations such as access to information, entertainment, and purchases. In such interactions, the ISA mediates the user’s access to the content, or controls some other aspect of the user experience, and is not designed to be neutral about outcomes of user choices. Like human users, ISAs are driven by goals, make autonomous decisions, and can learn from experience. Using ideas from bounded rationality, we frame these interactions (...)
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  32. The Roots of Racial Categorization.Ben Phillips - 2021 - Review of Philosophy and Psychology 13 (1):151-175.
    I examine the origins of ordinary racial thinking. In doing so, I argue against the thesis that it is the byproduct of a unique module. Instead, I defend a pluralistic thesis according to which different forms of racial thinking are driven by distinct mechanisms, each with their own etiology. I begin with the belief that visible features are diagnostic of race. I argue that the mechanisms responsible for face recognition have an important, albeit delimited, role to play in sustaining (...)
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  33. National Defence, Self Defence, and the Problem of Political Aggression.Seth Lazar - 2014 - In Cécile Fabre & Seth Lazar (eds.), The Morality of Defensive War. Oxford, GB: Oxford University Press. pp. 10-38.
    Wars are large-scale conflicts between organized groups of belligerents, which involve suffering, devastation, and brutality unlike almost anything else in human experience. Whatever one’s other beliefs about morality, all should agree that the horrors of war are all but unconscionable, and that warfare can be justified only if we have some compel- ling account of what is worth fighting for, which can justify contributing, as individu- als and as groups, to this calamitous endeavour. Although this question should obviously be central (...)
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  34. Group understanding.Kenneth Boyd - 2019 - Synthese 198 (7):6837-6858.
    While social epistemologists have recently begun addressing questions about whether groups can possess beliefs or knowledge, little has yet been said about whether groups can properly be said to possess understanding. Here I want to make some progress on this question by considering two possible accounts of group understanding, modeled on accounts of group belief and knowledge: a deflationary account, according to which a group understands just in case most or all of its members understand, and an inflationary account, (...)
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  35. A Theory of Bayesian Groups.Franz Dietrich - 2017 - Noûs 53 (3):708-736.
    A group is often construed as one agent with its own probabilistic beliefs (credences), which are obtained by aggregating those of the individuals, for instance through averaging. In their celebrated “Groupthink”, Russell et al. (2015) require group credences to undergo Bayesian revision whenever new information is learnt, i.e., whenever individual credences undergo Bayesian revision based on this information. To obtain a fully Bayesian group, one should often extend this requirement to non-public or even private information (learnt by not all or (...)
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  36. A Puzzle about Fictions in the Treatise.Jonathan Cottrell - 2016 - Journal of the History of Philosophy 54 (1):47-73.
    in the treatise, hume claims to identify many “fictions of the imagination” among both “vulgar” and philosophical beliefs. To name just a few, these include the fiction of one aggregate composed of many parts,1 the fiction of a material object’s identity through change, and the fiction of a human mind’s identity through change and interruption in its existence. Hume claims that these fictions and others like them are somehow defective: in his words, they are “improper,” “inexact,” or not “strict”. I (...)
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  37. Habermas vs Fish – pytanie o możliwość porozumienia międzykulturowego.Michał Wieczorkowski - 2018 - Folia Iuridica Universitatis Wratislaviensis 7 (1):111-134.
    The purpose of the paper is to analyze the thesis that an agreement between representatives of two different cultures can and should be reached at a theoretical level. The author tries to verify the Theory of Communicative Action proposed by Jürgen Habermas in the light of philosophical reflections of American neopragmatist Stanley Fish. Habermas is one of the most important and widely read social theorists in the post-Second World War era. He is also one of the authors of the concept (...)
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  38. Tolerance, Mıgratıon And Hybrıd Identities: Normative Reasoning Of Intercultural Dialogue In A Blurring Structure.Armando Aliu, Ilyas Öztürk, Dorian Aliu & Ömer Özkan - 2016 - International Journal of Political Studies 2 (3):10-22.
    The aim of this study is to proof the argument – i.e. ‘there are significant linkages amongst tolerance, hybrid identities and migration.’ These linkages can be comprehended by means of conceptualising extensions of hybrid identities in aggregate trans/inter-migration processes. It can be put forward that arising hybrid identities are embedded in a blurring structure of thoughts, beliefs, states of affairs, facts, belongings and so forth. From multiculturalism and cosmopolitanism viewpoints, it is argued that tolerance and migration ought to be analysed (...)
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  39. General representation of epistemically optimal procedures.Franz Dietrich - 2006 - Social Choice and Welfare 2 (26):263-283.
    Assuming that votes are independent, the epistemically optimal procedure in a binary collective choice problem is known to be a weighted supermajority rule with weights given by personal log-likelihood-ratios. It is shown here that an analogous result holds in a much more general model. Firstly, the result follows from a more basic principle than expected-utility maximisation, namely from an axiom (Epistemic Monotonicity) which requires neither utilities nor prior probabilities of the ‘correctness’ of alternatives. Secondly, a person’s input need not be (...)
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  40. Consensuar y disentir en un modelo de democracia contestataria.María G. Navarro - 2016 - Revista de Filosofía Conceptos 8:110-127.
    The relationship between the necessity to ensure that information is shared in the stages of deliberation and the overcoming of what Dryzek (2001) called constriction of deliberative economy is directly related to the proponents and opponents’ propensity to submit and add information differently, in a plural manner. This article describes the salient features of the deliberative turn in order to defend that this propensity is not individual. The evolution of the public space in science and in politics are both paradigmatic (...)
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  41.  18
    Nationalism.Renaud-Philippe Garner - 2022 - Oxford Research Encyclopedia of Politics.
    Nationalism is a set of beliefs about the nation: its origins, nature, and value. For nationalists, we are particular social animals. On the one hand, our lives are structured by a profound sense of togetherness and similarity: We share languages and memories. On the other hand, our lives are characterized by deep divisions and differences: We draw borders and contest historical narratives. For nationalism, humanity is neither a single species-wide community nor an aggregation of individuals but divided into distinct (...)
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  42. Exploring the Ontological Conundrum: Vasubandhu's Account of the Self and the Challenge of Comprehensive Functionality.Wesley De Sena - manuscript
    In his work "Treatise on the Negation of the Person," Vasubandhu presents an argument that challenges the conventional understanding of the self, asserting that it can be conceptually and ontologically reduced to the aggregates. This stance is a direct response to the beliefs of Buddhist Personalists, who argue that while a self may be conceptually dependent on the aggregates, it cannot be ontologically reduced to them, as it points to something beyond the aggregates. At the heart of this debate lies (...)
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  43. How to resolve doxastic disagreement.Peter Brössel & Anna-Maria A. Eder - 2014 - Synthese 191 (11):2359-2381.
    How should an agent revise her epistemic state in the light of doxastic disagreement? The problems associated with answering this question arise under the assumption that an agent’s epistemic state is best represented by her degree of belief function alone. We argue that for modeling cases of doxastic disagreement an agent’s epistemic state is best represented by her confirmation commitments and the evidence available to her. Finally, we argue that given this position it is possible to provide an adequate (...)
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  44. When to defer to supermajority testimony — and when not.Christian List - 2014 - In Jennifer Lackey (ed.), Essays in Collective Epistemology. Oxford: Oxford University Press. pp. 240-249.
    Pettit (2006) argues that deferring to majority testimony is not generally rational: it may lead to inconsistent beliefs. He suggests that “another ... approach will do better”: deferring to supermajority testimony. But this approach may also lead to inconsistencies. In this paper, I describe conditions under which deference to supermajority testimony ensures consistency, and conditions under which it does not. I also introduce the concept of “consistency of degree k”, which is weaker than full consistency by ruling out only “blatant” (...)
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  45. On the Method: Quantitative Reasonsing and Social Science.Kiyoung Kim - 2015 - SSRN.
    The research on social science eventually comes through any meaning about the human and society. Its message is directed to the society and the principal object of research would be its components, generally research participants or samples in terms of research method. As for nature, it is per se obvious that humans or populace act on various factors to influence their decision. This complex nature of human strands generally prevail that the multivariate analysis is an usual challenge for the social (...)
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  46. Cosmovisions and Realities - the each one's philosophy (3rd edition).Roberto Thomas Arruda (ed.) - 2023 - S.Paulo: Terra à Vista - ISBN 9798376963418.
    It is not by thinking that we create worlds. It is by understanding the world that we learn to think. Cosmovision is a term that should mean a set of foundations from which emerges a systemic understanding of the Universe, its components as life, the world we live in, nature, human phenomena, and their relationships. It is, therefore, a field of analytical philosophy fed by the sciences, whose objective is this aggregated and epistemologically sustainable knowledge about everything that we are (...)
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  47. Infinite Aggregation and Risk.Hayden Wilkinson - 2023 - Australasian Journal of Philosophy 101 (2):340-359.
    For aggregative theories of moral value, it is a challenge to rank worlds that each contain infinitely many valuable events. And, although there are several existing proposals for doing so, few provide a cardinal measure of each world's value. This raises the even greater challenge of ranking lotteries over such worlds—without a cardinal value for each world, we cannot apply expected value theory. How then can we compare such lotteries? To date, we have just one method for doing so (proposed (...)
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  48. 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 (...). I therefore suggest restricting independence to premises, which leads to a generalised premise-based procedure. This procedure is proven to be possible if the premises are logically independent. (shrink)
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  49. Weakly Aggregative Modal Logic: Characterization and Interpolation.Jixin Liu, Yanjing Wang & Yifeng Ding - 2019 - In Patrick Blackburn, Emiliano Lorini & Meiyun Guo (eds.), Logic, Rationality, and Interaction 7th International Workshop, LORI 2019, Chongqing, China, October 18–21, 2019, Proceedings. Springer. pp. 153-167.
    Weakly Aggregative Modal Logic (WAML) is a collection of disguised polyadic modal logics with n-ary modalities whose arguments are all the same. WAML has some interesting applications on epistemic logic and logic of games, so we study some basic model theoretical aspects of WAML in this paper. Specifically, we give a van Benthem-Rosen characterization theorem of WAML based on an intuitive notion of bisimulation and show that each basic WAML system Kn lacks Craig Interpolation.
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  50. Aggregation in an infinite, relativistic universe.Hayden Wilkinson - forthcoming - Erkenntnis:1-29.
    Aggregative moral theories face a series of devastating problems when we apply them in a physically realistic setting. According to current physics, our universe is likely _infinitely large_, and will contain infinitely many morally valuable events. But standard aggregative theories are ill-equipped to compare outcomes containing infinite total value so, applied in a realistic setting, they cannot compare any outcomes a real-world agent must ever choose between. This problem has been discussed extensively, and non-standard aggregative theories proposed to overcome it. (...)
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