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Summary This is a category for debates about chance that do not easily fit into other categories. 
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  1. The Stochastic-Quantum Correspondence.Jacob A. Barandes - manuscript
    This paper introduces an exact correspondence between a general class of stochastic systems and quantum theory. This correspondence provides a new framework for using Hilbert-space methods to formulate highly generic, non-Markovian types of stochastic dynamics, with potential applications throughout the sciences. This paper also uses the correspondence in the other direction to reconstruct quantum theory from physical models that consist of trajectories in configuration spaces undergoing stochastic dynamics. The correspondence thereby yields a new formulation of quantum theory, alongside the Hilbert-space, (...)
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  2. Credence and Chance in Quantum Theory.John Earman - manuscript
    David Lewis' "Principal Principle" is a purported principle of rationality connecting credence and objective chance. Almost all of the discussion of the Principal Principle in the philosophical literature assumes classical probability theory, which is unfortunate since the theory of modern physics that, arguably, speaks most clearly of objective chance is the quantum theory, and quantum probabilities are not classical probabilities. This paper develops an account of how chance works in quantum theory that reveals a connection between credence and quantum chance (...)
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  3. On classical finite probability theory as a quantum probability calculus.David Ellerman - manuscript
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or "toy" model of quantum mechanics over sets (QM/sets). There are two parts. The notion of an "event" is reinterpreted from being an epistemological state of indefiniteness to being an objective state of indefiniteness. And the mathematical framework of finite probability theory is recast as the quantum probability calculus for QM/sets. The point is not to (...)
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  4. More trouble for regular probabilitites.Matthew W. Parker - 2012
    In standard probability theory, probability zero is not the same as impossibility. But many have suggested that only impossible events should have probability zero. This can be arranged if we allow infinitesimal probabilities, but infinitesimals do not solve all of the problems. We will see that regular probabilities are not invariant over rigid transformations, even for simple, bounded, countable, constructive, and disjoint sets. Hence, regular chances cannot be determined by space-time invariant physical laws, and regular credences cannot satisfy seemingly reasonable (...)
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  5. T-theoretical Single-case Ontic Probability.David Grünberg - unknown - Yeditepe'de Felsefe (Philosophy at Yeditepe) 4.
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  6. Chance.F. P. Ramsey - forthcoming - Philosophical Papers. Dh Mellor. New York, Cambridge University Press.
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  7. In DH Mellor.F. P. Ramsey - forthcoming - Philosophical Papers.
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  8. (1 other version)The conceptual foundation of the propensity interpretation of fitness.Zachary J. Mayne - 2024 - Synthese 203 (10).
    The propensity interpretation of fitness (PIF) holds that evolutionary fitness is an objectively probabilistic causal disposition (i.e., a propensity) toward reproductive success. I characterize this as the conceptual foundation of the PIF. Reproductive propensities are meant to explain trends in actual reproductive outcomes. In this paper, I analyze the minimal theoretical and ontological commitments that must accompany the explanatory power afforded by the PIF’s foundation. I discuss three senses in which these commitments are less burdensome than has typically been recognized: (...)
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  9. (1 other version)Sleeping Beauty: Awakenings, Chance, Secrets, and Video.Nathan Salmón - 2024 - In Alessandro Capone, Pietro Perconti & Roberto Graci (eds.), Philosophy, Cognition and Pragmatics. Springer Nature Switzerland. pp. 53-65.
    A new philosophical analysis is provided of the notorious Sleeping Beauty Problem. It is argued that the correct solution is one-third, but not in the way previous philosophers have typically meant this. A modified version of the Problem demonstrates that neither self-locating information nor amnesia is relevant to the core Problem, which is simply to evaluate the conditional chance of heads given an undated Monday-or-Tuesday awakening. Previous commentators have failed to appreciate the significance of the information that Beauty gains upon (...)
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  10. (1 other version)Sleeping Beauty: Awakenings, Chance, Secrets, and Video.Nathan Salmón - 2024 - In Alessandro Capone, Roberto Graci & Pietro Perconti (eds.), New Frontiers in Pragmalinguistic Studies: Theoretical, Social, and Cognitive Approaches. Springer.
    A new philosophical analysis is provided of the notorious Sleeping Beauty Problem. It is argued that the correct solution is one-third, but not in the way previous philosophers have typically meant this. A modified version of the Problem demonstrates that neither self-locating information nor amnesia is relevant to the core Problem, which is simply to evaluate the conditional chance of heads given an undated Monday-or-Tuesday awakening. Previous commentators have failed to appreciate the significance of the information that Beauty gains upon (...)
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  11. An open future is possible.Amy Seymour - 2024 - Journal of Analytic Theology 12:77-90.
    Pruss (2016) argues that Christian philosophers should reject Open Futurism, where Open Futurism is the thesis that “there are no true undetermined contingent propositions about the future” (461). First, Pruss argues “on probabilistic grounds that there are some statements about infinite futures that Open Futurism cannot handle” (461). In other words, he argues that either the future is finite or that Open Futurism is false. Next, Pruss argues that since Christians are committed to a belief in everlasting life, they must (...)
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  12. The Meta-Reversibility Objection.Meacham Christopher - 2023 - In Barry Loewer, Brad Weslake & Eric Winsberg (eds.), The Probability Map of the Universe: Essays on David Albert’s _Time and Chance_. Cambridge MA: Harvard University Press.
    One popular approach to statistical mechanics understands statistical mechanical probabilities as measures of rational indifference. Naive formulations of this ``indifference approach'' face reversibility worries - while they yield the right prescriptions regarding future events, they yield the wrong prescriptions regarding past events. This paper begins by showing how the indifference approach can overcome the standard reversibility worries by appealing to the Past Hypothesis. But, the paper argues, positing a Past Hypothesis doesn't free the indifference approach from all reversibility worries. For (...)
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  13. What are Coincidences? A Philosophical Guide Between Science and Common Sense.Alessandra Melas & Pietro Salis - 2023 - Wilmington: Vernon Press. Edited by Pietro Salis.
    It is a common opinion that chance events cannot be understood in causal terms. Conversely, according to a causal view of chance, intersections between independent causal chains originate accidental events, called “coincidences”. Firstly, this book explores this causal conception of chance and tries to shed new light on it. Such a view has been defended by authors like Antoine Augustine Cournot and Jacques Monod. Second, a relevant alternative is provided by those accounts that, instead of acknowledging an intersection among causal (...)
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  14. On the Nature of Coincidental Events.Alessandra Melas & Pietro Salis - 2022 - Axiomathes 32 (1):143-68.
    It is a common opinion that chance events cannot be understood in causal terms. Conversely, according to a causal view of chance, intersections between independent causal chains originate accidental events, called “coincidences.” The present paper takes into proper consideration this causal conception of chance and tries to shed new light on it. More precisely, starting from Hart and Honoré’s view of coincidental events, this paper furnishes a more detailed account on the nature of coincidences, according to which coincidental events are (...)
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  15. One world is (probably) just as good as many.Jer Steeger - 2022 - Synthese 200 (97):1-32.
    One of our most sophisticated accounts of objective chance in quantum mechanics involves the Deutsch-Wallace theorem, which uses state-space symmetries to justify agents’ use of the Born rule when the quantum state is known. But Wallace argues that this theorem requires an Everettian approach to measurement. I find that this argument is unsound. I demonstrate a counter-example by applying the Deutsch-Wallace theorem to the de Broglie-Bohm pilot-wave theory.
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  16. The Economics and Philosophy of Risk.H. Orri Stefansson - 2022 - In Conrad Heilmann & Julian Reiss (eds.), Routledge Handbook of Philosophy of Economics. Routledge.
    Neoclassical economists use expected utility theory to explain, predict, and prescribe choices under risk, that is, choices where the decision-maker knows---or at least deems suitable to act as if she knew---the relevant probabilities. Expected utility theory has been subject to both empirical and conceptual criticism. This chapter reviews expected utility theory and the main criticism it has faced. It ends with a brief discussion of subjective expected utility theory, which is the theory neoclassical economists use to explain, predict, and prescribe (...)
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  17. How chance explains.Michael Townsen Hicks & Alastair Wilson - 2021 - Noûs 57 (2):290-315.
    What explains the outcomes of chance processes? We claim that their setups do. Chances, we think, mediate these explanations of outcome by setup but do not feature in them. Facts about chances do feature in explanations of a different kind: higher-order explanations, which explain how and why setups explain their outcomes. In this paper, we elucidate this 'mediator view' of chancy explanation and defend it from a series of objections. We then show how it changes the playing field in four (...)
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  18. Weintraub’s response to Williamson’s coin flip argument.Matthew W. Parker - 2021 - European Journal for Philosophy of Science 11 (3):1-21.
    A probability distribution is regular if it does not assign probability zero to any possible event. Williamson argued that we should not require probabilities to be regular, for if we do, certain “isomorphic” physical events must have different probabilities, which is implausible. His remarks suggest an assumption that chances are determined by intrinsic, qualitative circumstances. Weintraub responds that Williamson’s coin flip events differ in their inclusion relations to each other, or the inclusion relations between their times, and this can account (...)
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  19. The 'Noncausal Causality' of Quantum Information.Vasil Penchev - 2021 - Philosophy of Science eJournal (Elsevier: SSRN) 14 (45):1-7.
    The paper is concentrated on the special changes of the conception of causality from quantum mechanics to quantum information meaning as a background the revolution implemented by the former to classical physics and science after Max Born’s probabilistic reinterpretation of wave function. Those changes can be enumerated so: (1) quantum information describes the general case of the relation of two wave functions, and particularly, the causal amendment of a single one; (2) it keeps the physical description to be causal by (...)
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  20. Epistemic theories of objective chance.Richard Johns - 2020 - Synthese 197 (2):703-730.
    Epistemic theories of objective chance hold that chances are idealised epistemic probabilities of some sort. After giving a brief history of this approach to objective chance, I argue for a particular version of this view, that the chance of an event E is its epistemic probability, given maximal knowledge of the possible causes of E. The main argument for this view is the demonstration that it entails all of the commonly-accepted properties of chance. For example, this analysis entails that chances (...)
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  21. Creative Undecidability of Real-World Dynamics and the Emergent Time Hierarchy.Andrei P. Kirilyuk - 2020 - FQXi Essay Contest 2019-2020 “Undecidability, Uncomputability, and Unpredictability”.
    The unreduced solution to the arbitrary interaction problem, absent in the standard theory framework, reveals many equally real and mutually incompatible system configurations, or "realizations". This is the essence of universal dynamic undecidability, or multivaluedness, and the ensuing causal randomness (unpredictability), non-computability, irreversible time flow (evolution, emergence), and dynamic complexity of every real system, object, or process. This creative undecidability of real-world dynamics provides causal explanations for "quantum mysteries", relativity postulates, cosmological problems, and the huge efficiency of high-complexity phenomena, such (...)
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  22. From the 'Free Will Theorems' to the 'Choice Ontology' of Quantum Mechanics.Vasil Penchev - 2020 - Philosophy of Science eJournal (Elsevier: SSRN) 13 (33):1-10.
    If the concept of “free will” is reduced to that of “choice” all physical world share the latter quality. Anyway the “free will” can be distinguished from the “choice”: The “free will” involves implicitly certain preliminary goal, and the choice is only the mean, by which it can be achieved or not by the one who determines the goal. Thus, for example, an electron has always a choice but not free will unlike a human possessing both. Consequently, and paradoxically, the (...)
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  23. Objective consequentialism and the plurality of chances.Leszek Wroński - 2020 - Synthese 198 (12):12089-12105.
    I claim that objective consequentialism faces a problem stemming from the existence in some situations of a plurality of chances relevant to the outcomes of an agent’s acts. I suggest that this phenomenon bears structural resemblance to the well-known Reference Class problem. I outline a few ways in which one could attempt to deal with the issue, suggesting that it is the higher-level chance that should be employed by OC.
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  24. (1 other version)Symmetry arguments against regular probability: A reply to recent objections.Matthew W. Parker - 2019 - European Journal for Philosophy of Science 9 (1):1-21.
    A probability distribution is regular if it does not assign probability zero to any possible event. While some hold that probabilities should always be regular, three counter-arguments have been posed based on examples where, if regularity holds, then perfectly similar events must have different probabilities. Howson and Benci et al. have raised technical objections to these symmetry arguments, but we see here that their objections fail. Howson says that Williamson’s “isomorphic” events are not in fact isomorphic, but Howson is speaking (...)
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  25. Impossible Odds.Nathan Salmón - 2019 - Philosophy and Phenomenological Research 99 (3):644-662.
    A thesis (“weak BCP”) nearly universally held among philosophers of probability connects the concepts of objective chance and metaphysical modality: Any prospect (outcome) that has a positive chance of obtaining is metaphysically possible—(nearly) equivalently, any metaphysically impossible prospect has zero chance. Particular counterexamples are provided utilizing the monotonicity of chance, one of them related to the four world paradox. Explanations are offered for the persistent feeling that there cannot be chancy metaphysical necessities or chancy metaphysical impossibilities. Chance is objective but (...)
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  26. ”More of a Cause’: Recent Work on Degrees of Causation and Responsibility.Alex Kaiserman - 2018 - Philosophy Compass 13 (7):e12498.
    It is often natural to compare two events by describing one as ‘more of a cause’ of some effect than the other. But what do such comparisons amount to, exactly? This paper aims to provide a guided tour of the recent literature on ‘degrees of causation’. Section 2 looks at what I call ‘dependence measures’, which arise from thinking of causes as difference‐makers. Section 3 looks at what I call ‘production measures’, which arise from thinking of causes as jointly sufficient (...)
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  27. Objective Fundamental Reality Structure by the Unreduced Complexity Development.Andrei P. Kirilyuk - 2018 - FQXi Essay Contest 2017-2018 “What Is “Fundamental””.
    We explain why exactly the simplified abstract scheme of reality within the standard science paradigm cannot provide the consistent picture of “truly fundamental” reality and how the unreduced, causally complete description of the latter is regained within the extended, provably complete solution to arbitrary interaction problem and the ensuing concept of universal dynamic complexity. We emphasize the practical importance of this extension for both particular problem solution and further, now basically unlimited fundamental science development (otherwise dangerously stagnating within its traditional (...)
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  28. The Metaphysical Consequences of Counterfactual Skepticism.Nina Emery - 2017 - Philosophy and Phenomenological Research 94 (2):399-432.
    A series of recent arguments purport to show that most counterfactuals of the form if A had happened then C would have happened are not true. These arguments pose a challenge to those of us who think that counterfactual discourse is a useful part of ordinary conversation, of philosophical reasoning, and of scientific inquiry. Either we find a way to revise the semantics for counterfactuals in order to avoid these arguments, or we find a way to ensure that the relevant (...)
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  29. Causation, Probability, and the Continuity Bind.Anthony F. Peressini - 2017 - British Journal for the Philosophy of Science 69 (3):881-909.
    Analyses of singular causation often make use of the idea that a cause increases the probability of its effect. Of particular salience in such accounts are the values of the probability function of the effect, conditional on the presence and absence of the putative cause, analysed around the times of the events in question: causes are characterized by the effect’s probability function being greater when conditionalized upon them. Put this way, it becomes clearer that the ‘behaviour’ of probability functions in (...)
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  30. Ontology, Complexity, and Compositionality.Michael Strevens - 2017 - In Matthew H. Slater & Zanja Yudell (eds.), Metaphysics and the Philosophy of Science: New Essays. New York, NY, USA: Oxford University Press.
    Sciences of complex systems thrive on compositional theories – toolkits that allow the construction of models of a wide range of systems, each consisting of various parts put together in different ways. To be tractable, a compositional theory must make shrewd choices about the parts and properties that constitute its basic ontology. One such choice is to decompose a system into spatiotemporally discrete parts. Compositional theories in the high-level sciences follow this rule of thumb to a certain extent, but they (...)
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  31. Undermined.Gordon Belot - 2016 - Australasian Journal of Philosophy 94 (4):781-791.
    ABSTRACTA popular strategy for understanding the probabilities that arise in physics is to interpret them via reductionist accounts of chance—indeed, it is sometimes claimed that such accounts are uniquely well-suited to make sense of the probabilities in classical statistical mechanics. Here it is argued that reductionist accounts of chance carry a steep but unappreciated cost: when applied to physical theories of the relevant type, they inevitably distort the relations of probability that they take as input.
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  32. Vague Chance?Seamus Bradley - 2016 - Ergo: An Open Access Journal of Philosophy 3.
  33. “Of All the Gin Joints …” Causality, Science, Chance, and God.Michael J. Dodds - 2016 - Nova et Vetera 14 (2):503-525.
  34. (2 other versions)Probability and Randomness.Antony Eagle - 2016 - In Alan Hájek & Christopher Hitchcock (eds.), The Oxford Handbook of Probability and Philosophy. Oxford: Oxford University Press. pp. 440-459.
    Early work on the frequency theory of probability made extensive use of the notion of randomness, conceived of as a property possessed by disorderly collections of outcomes. Growing out of this work, a rich mathematical literature on algorithmic randomness and Kolmogorov complexity developed through the twentieth century, but largely lost contact with the philosophical literature on physical probability. The present chapter begins with a clarification of the notions of randomness and probability, conceiving of the former as a property of a (...)
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  35. Existence Puzzles and Probabilistic Explanation.Tyron Goldschmidt - 2016 - Journal of the American Philosophical Association 2 (3):469-482.
  36. The Oxford Handbook of Probability and Philosophy.Alan Hájek & Christopher Hitchcock (eds.) - 2016 - Oxford: Oxford University Press.
    Probability theory is a key tool of the physical, mathematical, and social sciences. It has also been playing an increasingly significant role in philosophy: in epistemology, philosophy of science, ethics, social philosophy, philosophy of religion, and elsewhere. This Handbook encapsulates and furthers the influence of philosophy on probability, and of probability on philosophy. Nearly forty articles summarise the state of play and present new insights in various areas of research at the intersection of these two fields. The articles will be (...)
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  37. Genealogical Explanations of Chance and Morals.Toby Handfield - 2016 - In Uri D. Leibowitz & Neil Sinclair (eds.), Explanation in Ethics and Mathematics: Debunking and Dispensability. Oxford, England: Oxford University Press UK.
    Objective chance and morality are rarely discussed together. In this paper, I argue that there is a surprising similarity in the epistemic standing of our beliefs about both objective chance and objective morality. The key similarity is that both of these sorts of belief are undermined -- in a limited, but important way -- by plausible genealogical accounts of the concepts that feature in these beliefs. The paper presents a brief account of Richard Joyce's evolutionary hypothesis of the genealogy of (...)
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  38. A Philosophical Guide to Chance. [REVIEW]J. T. M. Miller - 2016 - Philosophical Quarterly 66 (262):pqv037.
    A review of A Philosophical Guide to Chance by Toby Handfield. Cambridge CUP 2012.
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  39. Chance and Necessity.Daniel Nolan - 2016 - Philosophical Perspectives 30 (1):294-308.
    A principle endorsed by many theories of objective chance, and practically forced on us by the standard interpretation of the Kolmogorov semantics for chance, is the principle that when a proposition P has a chance, any proposition Q that is necessarily equivalent to P will have the same chance as P. Call this principle SUB (for the substitution of necessary equivalents into chance ascriptions). I will present some problems for a theory of chance, and will argue that the best way (...)
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  40. Imprecise Probability and Chance.Anthony F. Peressini - 2016 - Erkenntnis 81 (3):561-586.
    Understanding probabilities as something other than point values has often been motivated by the need to find more realistic models for degree of belief, and in particular the idea that degree of belief should have an objective basis in “statistical knowledge of the world.” I offer here another motivation growing out of efforts to understand how chance evolves as a function of time. If the world is “chancy” in that there are non-trivial, objective, physical probabilities at the macro-level, then the (...)
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  41. Chance.Richard Shiff - 2016 - Common Knowledge 22 (1):1-4.
    Academics generate circles of thought. Their preferred modes of conceptualization—the intellectual constructions in circulation within academic discourse at a given moment—readily pass across disciplinary boundaries. During the past two centuries, philosophical critique and the criticism of art have a history of informing each other. Although the concepts of societal “modernism” and “modernist” art exhibit variation, both are hybrids of philosophical and aesthetic indeterminacies. Rather than fretting over interpretive instability, we are inured to conceptual change and indeterminacy in every domain. But (...)
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  42. Finite Frequentism in a Big World.Nick Tosh - 2016 - British Journal for the Philosophy of Science 67 (1):169-213.
    The view that chances are relative frequencies of occurrence within actual, finite reference classes has long been written off. I argue that it ought to be reconsidered. Focusing on non-deterministic chance, I defend a version of finite frequentism in which reference classmates are required to have qualitatively identical pasts. While my analysis can evade or resist several standard objections, it has a counterintuitive consequence: non-trivial chances entail the existence of past light cones that are perfect intrinsic duplicates. In mitigation, I (...)
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  43. Everettian Confirmation and Sleeping Beauty: Reply to Wilson.Darren Bradley - 2015 - British Journal for the Philosophy of Science 66 (3):683-693.
    In Bradley, I offered an analysis of Sleeping Beauty and the Everettian interpretation of quantum mechanics. I argued that one can avoid a kind of easy confirmation of EQM by paying attention to observation selection effects, that halfers are right about Sleeping Beauty, and that thirders cannot avoid easy confirmation for the truth of EQM. Wilson agrees with my analysis of observation selection effects in EQM, but goes on to, first, defend Elga’s thirder argument on Sleeping Beauty and, second, argue (...)
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  44. Squaring the Dialectic of Inference and Chance.Paul Healey - 2015 - Philosophy Study 5 (5).
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  45. Emergent Chance.Christian List & Marcus Pivato - 2015 - Philosophical Review 124 (1):119-152.
    We offer a new argument for the claim that there can be non-degenerate objective chance (“true randomness”) in a deterministic world. Using a formal model of the relationship between different levels of description of a system, we show how objective chance at a higher level can coexist with its absence at a lower level. Unlike previous arguments for the level-specificity of chance, our argument shows, in a precise sense, that higher-level chance does not collapse into epistemic probability, despite higher-level properties (...)
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  46. The secularization of chance: Toward understanding the impact of the probability revolution on Christian belief in divine providence.Josh Reeves - 2015 - Zygon 50 (3):604-620.
    This article gives a brief history of chance in the Christian tradition, from casting lots in the Hebrew Bible to the discovery of laws of chance in the modern period. I first discuss the deep-seated skepticism towards chance in Christian thought, as shown in the work of Augustine, Aquinas, and Calvin. The article then describes the revolution in our understanding of chance—when contemporary concepts such as probability and risk emerged—that occurred a century after Calvin. The modern ability to quantify chance (...)
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  47. Chance and the Emergence of Purpose A Peircean Perspective.Andrew Robinson - 2015 - Philosophy, Theology and the Sciences 2 (2):194.
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  48. How Valuable Are Chances?H. Orii Stefansson & Richard Bradley - 2015 - Philosophy of Science 82 (4):602-625.
    Chance Neutrality is the thesis that, conditional on some proposition being true, its chance of being true should be a matter of practical indifference. The aim of this article is to examine whether Chance Neutrality is a requirement of rationality. We prove that given Chance Neutrality, the Principal Principle entails a thesis called Linearity; the centerpiece of von Neumann and Morgenstern’s expected utility theory. With this in mind, we argue that the Principal Principle is a requirement of practical rationality but (...)
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  49. Stochastic Independence and Causal Connection.Michael Strevens - 2015 - Erkenntnis 80 (S3):605-627.
    Assumptions of stochastic independence are crucial to statistical models in science. Under what circumstances is it reasonable to suppose that two events are independent? When they are not causally or logically connected, so the standard story goes. But scientific models frequently treat causally dependent events as stochastically independent, raising the question whether there are kinds of causal connection that do not undermine stochastic independence. This paper provides one piece of an answer to this question, treating the simple case of two (...)
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  50. Introduction: Toward a Definition of Biosemiosic Chance.Victoria N. Alexander - 2014 - Biosemiotics 7 (3):329-334.
    In this special issue, our objective is to clarify what biosemioticians may mean insofar as they claim that living systems are capable of making choices or that biosemiotic interpretations are partially indeterminate. A number of different senses of the term “chance” are discussed as we move toward a consensus. We find that biosemiosic chance may arise out of conditions involving quantum indeterminacy, randomness, deterministic chaos, or unpredictability, but biosemiosic chance is mainly due to the fact that living entities invest their (...)
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