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The Foundations of Statistics

Synthese 11 (1):86-89 (1954)

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  1. Normative theory and the human mind.Rachel Joffe Falmagne - 1985 - Behavioral and Brain Sciences 8 (4):750-751.
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  • Individual Differences in Framing and Conjunction Effects.Keith E. Stanovich & Richard F. West - 1998 - Thinking and Reasoning 4 (4):289-317.
    Individual differences on a variety of framing and conjunction problems were examined in light of Slovic and Tversky's (1974) understanding/acceptance principle-that more reflective and skilled reasoners are more likely to affirm the axioms that define normative reasoning and to endorse the task construals of informed experts. The predictions derived from the principle were confirmed for the much discussed framing effect in the Disease Problem and for the conjunction fallacy on the Linda Problem. Subjects of higher cognitive ability were disproportionately likely (...)
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  • DeFinettian Consensus.L. G. Esteves, S. Wechsler, J. G. Leite & V. A. González-López - 2000 - Theory and Decision 49 (1):79-96.
    It is always possible to construct a real function f, given random quantities X and Y with continuous distribution functions F and G, respectively, in such a way that f(X) and f(Y), also random quantities, have both the same distribution function, say H. This result of De Finetti introduces an alternative way to somehow describe the `opinion' of a group of experts about a continuous random quantity by the construction of Fields of coincidence of opinions (FCO). A Field of coincidence (...)
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  • States of nature and states of mind: a generalized theory of decision-making.Iain P. Embrey - 2020 - Theory and Decision 88 (1):5-35.
    Canonical economic agents act so as to maximize a single, representative, utility function. However, there is accumulating evidence that heterogeneity in thought processes may be an important determinant of individual behavior. This paper investigates the implications of a vector-valued generalization of the Expected Utility paradigm, which permits agents either to deliberate as per Homo economics, or to act impulsively. This generalized decision theory is applied to explain the crowding-out effect, irrational educational investment decisions, persistent social inequalities, the pervasive influence of (...)
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  • Radical Misinterpretation.Edward Elliott - 2023 - Pacific Philosophical Quarterly 104 (3):646-684.
    This paper provides an exposition and defence of Lewis' theory of radical interpretation. The first part explains what Lewis' theory was; the second part explains what it wasn't, and in so doing addresses a number of common objections that arise as a result of widespread myths and misunderstandings about how Lewis' theory is supposed to work.
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  • ‘Ramseyfying’ Probabilistic Comparativism.Edward Elliott - 2020 - Philosophy of Science 87 (4):727-754.
    Comparativism is the view that comparative confidences (e.g., being more confident that P than that Q) are more fundamental than degrees of belief (e.g., believing that P with some strength x). In this paper, I outline the basis for a new, non-probabilistic version of comparativism inspired by a suggestion made by Frank Ramsey in `Probability and Partial Belief'. I show how, and to what extent, `Ramseyan comparativism' might be used to weaken the (unrealistically strong) probabilistic coherence conditions that comparativism traditionally (...)
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  • Probabilism, Representation Theorems, and Whether Deliberation Crowds Out Prediction.Edward Elliott - 2017 - Erkenntnis 82 (2):379-399.
    Decision-theoretic representation theorems have been developed and appealed to in the service of two important philosophical projects: in attempts to characterise credences in terms of preferences, and in arguments for probabilism. Theorems developed within the formal framework that Savage developed have played an especially prominent role here. I argue that the use of these ‘Savagean’ theorems create significant difficulties for both projects, but particularly the latter. The origin of the problem directly relates to the question of whether we can have (...)
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  • Comparativism and the Measurement of Partial Belief.Edward Elliott - 2022 - Erkenntnis 87 (6):2843-2870.
    According to comparativism, degrees of belief are reducible to a system of purely ordinal comparisons of relative confidence. (For example, being more confident that P than that Q, or being equally confident that P and that Q.) In this paper, I raise several general challenges for comparativism, relating to (i) its capacity to illuminate apparently meaningful claims regarding intervals and ratios of strengths of belief, (ii) its capacity to draw enough intuitively meaningful and theoretically relevant distinctions between doxastic states, and (...)
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  • Betting against the Zen Monk: on preferences and partial belief.Edward Elliott - 2019 - Synthese 198 (4):3733-3758.
    According to the preference-centric approach to understanding partial belief, the connection between partial beliefs and preferences is key to understanding what partial beliefs are and how they’re measured. As Ramsey put it, the ‘degree of a belief is a causal property of it, which we can express vaguely as the extent to which we are prepared to act on it’ The Foundations of Mathematics and Other Logical Essays, Routledge, Oxon, pp 156–198, 1931). But this idea is not as popular as (...)
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  • A Representation Theorem for Frequently Irrational Agents.Edward Elliott - 2017 - Journal of Philosophical Logic 46 (5):467-506.
    The standard representation theorem for expected utility theory tells us that if a subject’s preferences conform to certain axioms, then she can be represented as maximising her expected utility given a particular set of credences and utilities—and, moreover, that having those credences and utilities is the only way that she could be maximising her expected utility. However, the kinds of agents these theorems seem apt to tell us anything about are highly idealised, being always probabilistically coherent with infinitely precise degrees (...)
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  • Fragmentation and logical omniscience.Adam Elga & Agustín Rayo - 2022 - Noûs 56 (3):716-741.
    It would be good to have a Bayesian decision theory that assesses our decisions and thinking according to everyday standards of rationality — standards that do not require logical omniscience (Garber 1983, Hacking 1967). To that end we develop a “fragmented” decision theory in which a single state of mind is represented by a family of credence functions, each associated with a distinct choice condition (Lewis 1982, Stalnaker 1984). The theory imposes a local coherence assumption guaranteeing that as an agent's (...)
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  • Bayesian humility.Adam Elga - 2016 - Philosophy of Science 83 (3):305-323.
    Say that an agent is "epistemically humble" if she is less than certain that her opinions will converge to the truth, given an appropriate stream of evidence. Is such humility rationally permissible? According to the orgulity argument : the answer is "yes" but long-run convergence-to-the-truth theorems force Bayesians to answer "no." That argument has no force against Bayesians who reject countable additivity as a requirement of rationality. Such Bayesians are free to count even extreme humility as rationally permissible.
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  • Ambiguity and uncertainty in probabilistic inference.Hillel J. Einhorn & Robin M. Hogarth - 1985 - Psychological Review 92 (4):433-461.
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  • Is Objective Act Consequentialism satisfiable?Johan E. Gustafsson - 2019 - Analysis 79 (2):193-202.
    A compelling requirement on normative theories is that they should be satisfiable, that is, in every possible choice situation with a finite number of alternatives, there should be at least one performable act such that, if one were to perform that act, one would comply with the theory. In this paper, I argue that, given some standard assumptions about free will and counterfactuals, Objective Act Consequentialism violates this requirement.
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  • Formal Epistemology.Kenny Easwaran - 2015 - Journal of Philosophical Logic 44 (6):651-662.
    Doxastic TheoriesThe application of formal tools to questions related to epistemology is of course not at all new. However, there has been a surge of interest in the field now known as “formal epistemology” over the past decade, with two annual conference series and an annual summer school at Carnegie Mellon University, in addition to many one-off events devoted to the field. A glance at the programs of these series illustrates the wide-ranging set of topics that have been grouped under (...)
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  • Dr. Truthlove or: How I Learned to Stop Worrying and Love Bayesian Probabilities.Kenny Easwaran - 2016 - Noûs 50 (4):816-853.
    Many philosophers have argued that "degree of belief" or "credence" is a more fundamental state grounding belief. Many other philosophers have been skeptical about the notion of "degree of belief", and take belief to be the only meaningful notion in the vicinity. This paper shows that one can take belief to be fundamental, and ground a notion of "degree of belief" in the patterns of belief, assuming that an agent has a collection of beliefs that isn't dominated by some other (...)
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  • Bayesianism I: Introduction and Arguments in Favor.Kenny Easwaran - 2011 - Philosophy Compass 6 (5):312-320.
    Bayesianism is a collection of positions in several related fields, centered on the interpretation of probability as something like degree of belief, as contrasted with relative frequency, or objective chance. However, Bayesianism is far from a unified movement. Bayesians are divided about the nature of the probability functions they discuss; about the normative force of this probability function for ordinary and scientific reasoning and decision making; and about what relation (if any) holds between Bayesian and non-Bayesian concepts.
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  • A classification of Newcomb problems and decision theories.Kenny Easwaran - 2019 - Synthese 198 (Suppl 27):6415-6434.
    Newcomb-like problems are classified by the payoff table of their act-state pairs, and the causal structure that gives rise to the act-state correlation. Decision theories are classified by the one or more points of intervention whose causal role is taken to be relevant to rationality in various problems. Some decision theories suggest an inherent conflict between different notions of rationality that are all relevant. Some issues with causal modeling raise problems for decision theories in the contexts where Newcomb problems arise.
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  • The value of cost-free uncertain evidence.Patryk Dziurosz-Serafinowicz & Dominika Dziurosz-Serafinowicz - 2021 - Synthese 199 (5-6):13313-13343.
    We explore the question of whether cost-free uncertain evidence is worth waiting for in advance of making a decision. A classical result in Bayesian decision theory, known as the value of evidence theorem, says that, under certain conditions, when you update your credences by conditionalizing on some cost-free and certain evidence, the subjective expected utility of obtaining this evidence is never less than the subjective expected utility of not obtaining it. We extend this result to a type of update method, (...)
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  • The Value of Evidence and Ratificationism.Patryk Dziurosz-Serafinowicz - forthcoming - Erkenntnis:1-25.
    In sequential decision problems, an act of learning cost-free evidence might be symptomatic, in the sense that performing this act itself provides evidence about states of the world it does nothing to causally promote. It is well known that orthodox causal decision theory, like its main rival evidential decision theory, may sanction such acts as rationally impermissible. This paper shows that, under plausible assumptions, a minimal version of ratificationist causal decision theory, known as principled ratificationism, fares better in this respect, (...)
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  • Contradictory Information: Too Much of a Good Thing. [REVIEW]J. Michael Dunn - 2010 - Journal of Philosophical Logic 39 (4):425 - 452.
    Both I and Belnap, motivated the "Belnap-Dunn 4-valued Logic" by talk of the reasoner being simply "told true" (T) and simply "told false" (F), which leaves the options of being neither "told true" nor "told false" (N), and being both "told true" and "told false" (B). Belnap motivated these notions by consideration of unstructured databases that allow for negative information as well as positive information (even when they conflict). We now experience this on a daily basis with the Web. But (...)
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  • Cooperation, fairness and team reasoning.Hein Duijf - 2021 - Economics and Philosophy 37 (3):413-440.
    This paper examines two strands of literature regarding economic models of cooperation. First, payoff transformation theories assume that people may not be exclusively motivated by self-interest, but also care about equality and fairness. Second, team reasoning theorists assume that people might reason from the perspective of the team, rather than an individualistic perspective. Can these two theories be unified? In contrast to the consensus among team reasoning theorists, I argue that team reasoning can be viewed as a particular type of (...)
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  • Conflicting intentions: rectifying the consistency requirements.Hein Duijf, Jan Broersen & John-Jules Ch Meyer - 2019 - Philosophical Studies 176 (4):1097-1118.
    Many philosophers are convinced that rationality dictates that one’s overall set of intentions be consistent. The starting point and inspiration for our study is Bratman’s planning theory of intentions. According to this theory, one needs to appeal to the fulfilment of characteristic planning roles to justify norms that apply to our intentions. Our main objective is to demonstrate that one can be rational despite having mutually inconsistent intentions. Conversely, it is also shown that one can be irrational despite having a (...)
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  • A Logical Study of Moral Responsibility.Hein Duijf - forthcoming - Erkenntnis:1-42.
    This paper proposes a logical framework for studying the structure of moral responsibility for outcomes. The analysis incorporates two vital features: an agency condition and a negative condition of an alternative possibility. The logical language allows us to identify and disambiguate seven plausible criteria for moral responsibility. To accommodate interdependent decision contexts, the semantics are given in terms of so-called responsibility games. The logical framework enables us to classify the logical relations between these seven criteria for moral responsibility. Although all (...)
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  • On the category adjustment model: another look at Huttenlocher, Hedges, and Vevea (2000).Sean Duffy & John Smith - 2020 - Mind and Society 19 (1):163-193.
    Huttenlocher et al. (J Exp Psychol Gen 129:220–241, 2000) introduce the category adjustment model (CAM). Given that participants imperfectly remember stimuli (which we refer to as “targets”), CAM holds that participants maximize accuracy by using information about the distribution of the targets to improve their judgments. CAM predicts that judgments will be a weighted average of the imperfect memory of the target and the mean of the distribution of targets. Huttenlocher et al. (2000) report on three experiments and conclude that (...)
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  • Aggregation of decomposable measures with application to utility theory.D. Dubois, J. C. Fodor, H. Prade & M. Roubens - 1996 - Theory and Decision 41 (1):59-95.
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  • Axiomatizing bounded rationality: the priority heuristic.Mareile Drechsler, Konstantinos Katsikopoulos & Gerd Gigerenzer - 2014 - Theory and Decision 77 (2):183-196.
    This paper presents an axiomatic framework for the priority heuristic, a model of bounded rationality in Selten’s (in: Gigerenzer and Selten (eds.) Bounded rationality: the adaptive toolbox, 2001) spirit of using empirical evidence on heuristics. The priority heuristic predicts actual human choices between risky gambles well. It implies violations of expected utility theory such as common consequence effects, common ratio effects, the fourfold pattern of risk taking and the reflection effect. We present an axiomatization of a parameterized version of the (...)
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  • Bootstrap Confirmation Made Quantitative.Igor Douven & Wouter Meijs - 2006 - Synthese 149 (1):97-132.
    Glymour’s theory of bootstrap confirmation is a purely qualitative account of confirmation; it allows us to say that the evidence confirms a given theory, but not that it confirms the theory to a certain degree. The present paper extends Glymour’s theory to a quantitative account and investigates the resulting theory in some detail. It also considers the question how bootstrap confirmation relates to justification.
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  • Preference orderings represented by coherent upper and lower conditional previsions.Serena Doria - 2019 - Theory and Decision 87 (2):233-252.
    Preference orderings assigned by coherent lower and upper conditional previsions are defined and they are considered to define maximal random variables and Bayes random variables. Sufficient conditions are given such that a random variable is maximal if and only if it is a Bayes random variable. In a metric space preference orderings represented by coherent lower and upper conditional previsions defined by Hausdorff inner and outer measures are given.
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  • Deference Done Better.Kevin Dorst, Benjamin A. Levinstein, Bernhard Salow, Brooke E. Husic & Branden Fitelson - 2021 - Philosophical Perspectives 35 (1):99-150.
    There are many things—call them ‘experts’—that you should defer to in forming your opinions. The trouble is, many experts are modest: they’re less than certain that they are worthy of deference. When this happens, the standard theories of deference break down: the most popular (“Reflection”-style) principles collapse to inconsistency, while their most popular (“New-Reflection”-style) variants allow you to defer to someone while regarding them as an anti-expert. We propose a middle way: deferring to someone involves preferring to make any decision (...)
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  • Consequences of Comparability.Cian Dorr, Jacob M. Nebel & Jake Zuehl - 2021 - Philosophical Perspectives 35 (1):70-98.
    We defend three controversial claims about preference, credence, and choice. First, all agents (not just rational ones) have complete preferences. Second, all agents (again, not just rational ones) have real-valued credences in every proposition in which they are confident to any degree. Third, there is almost always some unique thing we ought to do, want, or believe.
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  • Risk-taking and tie-breaking.Ryan Doody - 2023 - Philosophical Studies 180 (7):2079-2104.
    When you are indifferent between two options, it’s rationally permissible to take either. One way to decide between two such options is to flip a fair coin, taking one option if it lands heads and the other if it lands tails. Is it rationally permissible to employ such a tie-breaking procedure? Intuitively, yes. However, if you are genuinely risk-averse—in particular, if you adhere to risk-weighted expected utility theory (Buchak in Risk and rationality, Oxford University Press, 2013) and have a strictly (...)
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  • Special Issue on Ambiguity and Strategic Interactions in Honor of Jürgen Eichberger.Adam Dominiak & Ani Guerdjikova - 2021 - Theory and Decision 90 (3-4):301-307.
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  • Logic of change, change of logic.Hans Ditmarsch, Brian Hill & Ondrej Majer - 2009 - Synthese 171 (2):227-234.
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  • 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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  • Deriving Harsanyi’s Utilitarianism from De Finetti’s Book-Making Argument.Enrico Diecidue - 2006 - Theory and Decision 61 (4):363-371.
    The book-making argument was introduced by de Finetti as a principle to prove the existence and uniqueness of subjective probabilities. It has subsequently been accepted as a principle of rationality for decisions under uncertainty. This note shows that the book-making argument has relevant applications to welfare: it gives a new foundation for utilitarianism that is alternative to Harsanyi’s, it generalizes foundations based on the theorem of the alternative, and it avoids arguments based on expected utility.
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  • The qualitative paradox of non-conglomerability.Nicholas DiBella - 2018 - Synthese 195 (3):1181-1210.
    A probability function is non-conglomerable just in case there is some proposition E and partition \ of the space of possible outcomes such that the probability of E conditional on any member of \ is bounded by two values yet the unconditional probability of E is not bounded by those values. The paradox of non-conglomerability is the counterintuitive—and controversial—claim that a rational agent’s subjective probability function can be non-conglomerable. In this paper, I present a qualitative analogue of the paradox. I (...)
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  • Normative folk psychology and decision theory.Joe Dewhurst & Christopher Burr - 2022 - Mind and Language 37 (4):525-542.
    Our aim in this paper is to explore two possible directions of interaction between normative folk psychology and decision theory. In one direction, folk psychology plays a regulative role that constrains practical decision‐making. In the other direction, decision theory provides novel tools and norms that shape folk psychology. We argue that these interactions could lead to the emergence of an iterative “decision theoretic spiral," where folk psychology influences decision‐making, decision‐making is studied by decision theory, and decision theory influences folk psychology. (...)
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  • This paper might change your mind.Josh Dever & Henry Ian Schiller - 2020 - Noûs 55 (4):863-890.
    Linguistic intervention in rational decision making is standardly captured in terms of information change. But the standard view gives us no way to model interventions involving expressions that only have an attentional effects on conversational contexts. How are expressions with non‐informational content – like epistemic modals – used to intervene in rational decision making? We show how to model rational decision change without information change: replace a standard conception of value (on which the value of a set of worlds reduces (...)
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  • The Oxford Handbook of Causal Reasoning.Michael Waldmann (ed.) - 2017 - Oxford, England: Oxford University Press.
    Causal reasoning is one of our most central cognitive competencies, enabling us to adapt to our world. Causal knowledge allows us to predict future events, or diagnose the causes of observed facts. We plan actions and solve problems using knowledge about cause-effect relations. Without our ability to discover and empirically test causal theories, we would not have made progress in various empirical sciences. In the past decades, the important role of causal knowledge has been discovered in many areas of cognitive (...)
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  • Reconsidering Meaning in Life: A Philosophical Dialogue with Thaddeus Metz.Masahiro Morioka (ed.) - 2015 - Journal of Philosophy of Life, Waseda University.
    An e-book devoted to 13 critical discussions of Thaddeus Metz's book "Meaning in Life: An Analytic Study", with a lengthy reply from the author. -/- Preface Masahiro Morioka i -/- Précis of Meaning in Life: An Analytic Study Thaddeus Metz ii-vi -/- Source and Bearer: Metz on the Pure Part-Life View of Meaning Hasko von Kriegstein 1-18 -/- Fundamentality and Extradimensional Final Value David Matheson 19-32 -/- Meaningful and More Meaningful: A Modest Measure Peter Baumann 33-49 -/- Is Meaning in (...)
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  • Representation and Invariance of Scientific Structures.Patrick Suppes - 2002 - CSLI Publications (distributed by Chicago University Press).
    An early, very preliminary edition of this book was circulated in 1962 under the title Set-theoretical Structures in Science. There are many reasons for maintaining that such structures play a role in the philosophy of science. Perhaps the best is that they provide the right setting for investigating problems of representation and invariance in any systematic part of science, past or present. Examples are easy to cite. Sophisticated analysis of the nature of representation in perception is to be found already (...)
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  • Aiming at truth.Nicholas Unwin - 2007 - New York: Palgrave-Macmillan.
    The author argues that is not obvious what it means for our beliefs and assertions to be "truth-directed", and that we need to weaken our ordinary notion of a belief if we are to deal with radical scepticism without surrendering to idealism. Topics examined also include whether there could be alien conceptual schemes and what might happen to us if we abandoned genuine belief in place of mere pragmatic acceptance. A radically new "ecological" model of knowledge is defended.
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  • Quantum Information Theory & the Foundations of Quantum Mechanics.Christopher Gordon Timpson - 2004 - Oxford, GB: Oxford University Press.
    Quantum Information Theory and the Foundations of Quantum Mechanics is a conceptual analysis of one of the most prominent and exciting new areas of physics, providing the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. -/- Beginning from a careful, revisionary, analysis of the concepts of information in the everyday and classical information-theory settings, Christopher G. Timpson argues for an ontologically deflationary account of the nature of quantum information. (...)
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  • Causality and causal modelling in the social sciences.Federica Russo - 2009 - Springer, Dordrecht.
    The anti-causal prophecies of last century have been disproved. Causality is neither a ‘relic of a bygone’ nor ‘another fetish of modern science’; it still occupies a large part of the current debate in philosophy and the sciences. This investigation into causal modelling presents the rationale of causality, i.e. the notion that guides causal reasoning in causal modelling. It is argued that causal models are regimented by a rationale of variation, nor of regularity neither invariance, thus breaking down the dominant (...)
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  • The problem of induction.John Vickers - 2008 - Stanford Encyclopedia of Philosophy.
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  • Putting Oughts Together.David Boylan - 2023 - Semantics and Pragmatics 16.
    Consistent Agglomeration says that, when φ and ψ are consistent, ⌜ought φ ⌝ and ⌜ought ψ⌝ entail ⌜ought (φ ∧ ψ)⌝; I argue this principle is valid for deontic, but not epistemic oughts. I argue no existing theory predicts these data and give a new semantics and pragmatics for ought: ought is an existential quantifier over the best partial answers to some background question; and presupposes that those best partial answers are pairwise consistent. In conjunction with a plausible assumption about (...)
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  • Does murphy’s law apply in epistemology?David Christensen - 2007 - Oxford Studies in Epistemology 2:3-31.
    Formally-inclined epistemologists often theorize about ideally rational agents--agents who exemplify rational ideals, such as probabilistic coherence, that human beings could never fully realize. This approach can be defended against the well-know worry that abstracting from human cognitive imperfections deprives the approach of interest. But a different worry arises when we ask what an ideal agent should believe about her own cognitive perfection (even an agent who is in fact cognitively perfect might, it would seem, be uncertain of this fact). Consideration (...)
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  • 11 Why Don't You Want to Be Rich? Preference Explanation on the Basis of Causal Structure.Till Grune-Yanoff - 2007 - In J. K. Campbell, M. O'Rourke & H. S. Silverstein (eds.), Causation and Explanation. MIT Press. pp. 4--217.
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  • Democratic Deliberation and Social Choice: A Review.Christian List - 2018 - In André Bächtiger, Jane Mansbridge, John Dryzek & Mark Warren (eds.), Oxford Handbook of Deliberative Democracy. Oxford: Oxford University Press.
    In normative political theory, it is widely accepted that democracy cannot be reduced to voting alone, but that it requires deliberation. In formal social choice theory, by contrast, the study of democracy has focused primarily on the aggregation of individual opinions into collective decisions, typically through voting. While the literature on deliberation has an optimistic flavour, the literature on social choice is more mixed. It is centred around several paradoxes and impossibility results identifying conflicts between different intuitively plausible desiderata. In (...)
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