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The Propensity Interpretation of the Calculus of Probability, and the Quantum Theory

In Stephan Körner (ed.), Observation and Interpretation. Butterworths. pp. 65--70 (1957)

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  1. Probabilities in Statistical Mechanics.Wayne C. Myrvold - 2016 - In Alan Hájek & Christopher Hitchcock (eds.), The Oxford Handbook of Probability and Philosophy. Oxford: Oxford University Press. pp. 573-600.
    This chapter will review selected aspects of the terrain of discussions about probabilities in statistical mechanics (with no pretensions to exhaustiveness, though the major issues will be touched upon), and will argue for a number of claims. None of the claims to be defended is entirely original, but all deserve emphasis. The first, and least controversial, is that probabilistic notions are needed to make sense of statistical mechanics. The reason for this is the same reason that convinced Maxwell, Gibbs, and (...)
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  • Social Objects, Causality and Contingent Realism.Malcolm Williams - 2009 - Journal for the Theory of Social Behaviour 39 (1):1-18.
    This paper is a realist argument for the existence of “social objects”. Social objects, I argue, are the outcome states of a contingent causal process and in turn posses causal properties. This argument has consequences for what we can mean by realism and consequences for the development of a realist methodology. Realism should abandon the notion of natural necessity in favour of a view that the “real” nature of the social world is contingent and necessity is only revealed in outcome (...)
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  • The propensity theory of probability.Alan R. White - 1972 - British Journal for the Philosophy of Science 23 (1):35-43.
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  • Social propensities.Peter Urbach - 1980 - British Journal for the Philosophy of Science 31 (4):317-328.
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  • On quantum propensities: Two arguments revisited.Mauricio Suárez - 2004 - Erkenntnis 61 (1):1-16.
    Peter Milne and Neal Grossman have argued against Popper's propensity interpretation of quantum mechanics, by appeal to the two-slit experiment and to the distinction between mixtures and superpositions, respectively. In this paper I show that a different propensity interpretation successfully meets their objections. According to this interpretation, the possession of a quantum propensity by a quantum system is independent of the experimental set-ups designed to test it, even though its manifestations are not.
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  • A critique of empiricist propensity theories.Mauricio Suárez - 2014 - European Journal for Philosophy of Science 4 (2):215-231.
    I analyse critically what I regard as the most accomplished empiricist account of propensities, namely the long run propensity theory developed by Donald Gillies . Empiricist accounts are distinguished by their commitment to the ‘identity thesis’: the identification of propensities and objective probabilities. These theories are intended, in the tradition of Karl Popper’s influential proposal, to provide an interpretation of probability that renders probability statements directly testable by experiment. I argue that the commitment to the identity thesis leaves empiricist theories, (...)
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  • Propensity representations of probability.Patrick Suppes - 1987 - Erkenntnis 26 (3):335 - 358.
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  • Maurice Clavelin on Galileo's natural philosophy. [REVIEW]Howard Stein - 1974 - British Journal for the Philosophy of Science 25 (4):375-397.
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  • Dispositions, bases, overdetermination and identities.Stephen Mumford - 1995 - Ratio 8 (1):42-62.
    In this paper I aim to make sense of our pre‐theoretic intuitions about dispositions by presenting an argument for the identity of a disposition with its putative categorical base. The various possible ontologies for dispositions are outlined. The possibility of an empirical proof of identity is dismissed. Instead an a priori argument for identity is adapted from arguments in the philosophy of mind. I argue that dispositions occupy, by analytic necessity, the same causal roles that categorical bases occupy contingently and (...)
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  • Merely statistical evidence: when and why it justifies belief.Paul Silva - 2023 - Philosophical Studies 180 (9):2639-2664.
    It is one thing to hold that merely statistical evidence is _sometimes_ insufficient for rational belief, as in typical lottery and profiling cases. It is another thing to hold that merely statistical evidence is _always_ insufficient for rational belief. Indeed, there are cases where statistical evidence plainly does justify belief. This project develops a dispositional account of the normativity of statistical evidence, where the dispositions that ground justifying statistical evidence are connected to the goals (= proper function) of objects. There (...)
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  • The non-existence of a principle of natural selection.Abner Shimony - 1989 - Biology and Philosophy 4 (3):255-273.
    The theory of natural selection is a rich systematization of biological knowledge without a first principle. When formulations of a proposed principle of natural selection are examined carefully, each is seen to be exhaustively analyzable into a proposition about sources of fitness and a proposition about consequences of fitness. But whenever the fitness of an organic variety is well defined in a given biological situation, its sources are local contingencies together with the background of laws from disciplines other than the (...)
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  • An Analysis of Stapp’s “A Bell-Type Theorem without Hidden Variables”.Abner Shimony - 2006 - Foundations of Physics 36 (1):61-72.
    H.P. Stapp has proposed a number of demonstrations of a Bell-type theorem which dispensed with an assumption of hidden variables, but relied only upon locality together with an assumption that experimenters can choose freely which of several incompatible observables to measure. In recent papers his strategy has centered upon counterfactual conditionals. Stapp’s paper in American Journal of Physics, 2004, replies to objections raised against earlier expositions of this strategy and proposes a simplified demonstration. The new demonstration is criticized, several subtleties (...)
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  • An Analysis of Ensembles that are Both Pre- and Post-Selected.Abner Shimony - 2005 - Foundations of Physics 35 (2):215-232.
    The idea of ensembles which are both pre- and post-selected was introduced by Aharonov, Bergmann, and Lebowitz and developed by Aharonov and his school. To derive formulae for the probabilities of outcomes of a measurement performed on such an ensemble at a time intermediate between pre-selection and post-selection, the latter group introduces a two-vector formulation of quantum mechanics, one vector propagating in the forward direction in time and one in the backward direction. The formulae which they obtain by this radical (...)
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  • Propensity theories of probability unscathed: A reply to white.Tom Settle - 1972 - British Journal for the Philosophy of Science 23 (4):331-335.
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  • An objectivist argument for thirdism.The Oscar Seminar - 2008 - Analysis 68 (2):149–155.
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  • An objectivist argument for thirdism.Oscar Seminar - 2008 - Analysis 68 (2):149-155.
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  • General causation.David Sapire - 1991 - Synthese 86 (3):321 - 347.
    This paper outlines a general theory of efficient causation, a theory that deals in a unified way with traditional or deterministic, indeterministic, probabilistic, and other causal concepts. Theorists like Lewis, Salmon, and Suppes have attempted to broaden our causal perspective by reductively analysing causal notions in other terms. By contrast, the present theory rests in the first place on a non-reductive analysis of traditional causal concepts — into formal or structural components, on the one hand, and a physical or metaphysical (...)
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  • The philosophy of Hans Reichenbach.Wesley C. Salmon - 1977 - Synthese 34 (1):5 - 88.
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  • Propensities: A discussion review. [REVIEW]Wesley C. Salmon - 1979 - Erkenntnis 14 (2):183 - 216.
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  • Raciocínio científico e probabilidade: uma comparação entre o bayesianismo e a estatística do erro.Agnaldo Cuoco Portugal & Breno Hermann - 2014 - Principia: An International Journal of Epistemology 18 (1):115.
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  • Reasoning defeasibly about probabilities.John L. Pollock - 2011 - Synthese 181 (2):317-352.
    In concrete applications of probability, statistical investigation gives us knowledge of some probabilities, but we generally want to know many others that are not directly revealed by our data. For instance, we may know prob(P/Q) (the probability of P given Q) and prob(P/R), but what we really want is prob(P/Q& R), and we may not have the data required to assess that directly. The probability calculus is of no help here. Given prob(P/Q) and prob(P/R), it is consistent with the probability (...)
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  • Powers, Probabilities, and Tendencies.Michele Paolini Paoletti - 2022 - Philosophia 50 (4):2035-2067.
    In this article, I aim at showing how powers may ground different types of probability in the universe. In Section 1 I single out several dimensions along which the probability of something can be determined. Each of such dimensions can be further specified at the type-level or at the token-level. In Section 2 I introduce some metaphysical assumptions about powers. In Section 3 I show how powers can ground single-case probabilities and frequency-probabilities in a deterministic setting. Later on, in Section (...)
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  • Semantic, Logical, and Ethical Considerations of Patients’ Decisions in the Resolution of Moral Dilemmas.Agnieszka Żok, Ewa Baum & Tomasz Rzepiński - 2020 - Studies in Logic, Grammar and Rhetoric 64 (1):99-123.
    Decision-making procedures in medical practice are often analysed by both philosophers of science and ethicists, as well as statisticians, clinicians and methodologists. The paper focuses on decisions made by patients in situations of moral dilemma. The main purpose is to analyse the strategies used in resolving such dilemmas. First, the concept of a ‘situation of moral dilemma’ is clarified. Then, two types of strategies for resolving such situations are distinguished. The first strategy requires revising the patient’s belief system or moral (...)
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  • Ellis and Lierse on dispositional essentialism.Stephen Mumford - 1995 - Australasian Journal of Philosophy 73 (4):606 – 612.
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  • Quantum entanglement: a hylomorphic account.Matteo Morganti - 2019 - Synthese 198 (Suppl 11):2773-2793.
    In this paper, it is argued that Aristotelian hylomorphism can supply a useful and informative account of composite entities as these are described by physical theory. In particular, a hylomorphic account of quantum entangled systems is defined in detail, and compared to other alternatives currently on offer—in particular, ontic structural realism. In closing, it is suggested that the view of entanglement outlined here meshes well with a recently proposed ‘coherentist’ conception.
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  • Inherent Properties and Statistics with Individual Particles in Quantum Mechanics.Matteo Morganti - 2009 - Studies in History and Philosophy of Modern Physics 40 (3):223-231.
    This paper puts forward the hypothesis that the distinctive features of quantum statistics are exclusively determined by the nature of the properties it describes. In particular, all statistically relevant properties of identical quantum particles in many-particle systems are conjectured to be irreducible, ‘inherent’ properties only belonging to the whole system. This allows one to explain quantum statistics without endorsing the ‘Received View’ that particles are non-individuals, or postulating that quantum systems obey peculiar probability distributions, or assuming that there are primitive (...)
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  • Can there be a realist single-case interpretation of probability?Peter Milne - 1986 - Erkenntnis 25 (2):129 - 132.
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  • A note on Popper, propensities, and the two-slit experiment.Peter Milne - 1985 - British Journal for the Philosophy of Science 36 (1):66-70.
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  • The semantics and ontology of dispositions.D. H. Mellor - 2000 - Mind 109 (436):757--780.
    The paper looks at the semantics and ontology of dispositions in the light of recent work on the subject. Objections to the simple conditionals apparently entailed by disposition statements are met by replacing them with so-called 'reduction sentences' and some implications of this are explored. The usual distinction between categorical and dispositional properties is criticised and the relation between dispositions and their bases examined. Applying this discussion to two typical cases leads to the conclusion that fragility is not a real (...)
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  • Quantum propensiton theory: A testable resolution of the wave/particle dilemma.Nicholas Maxwell - 1988 - British Journal for the Philosophy of Science 39 (1):1-50.
    In this paper I put forward a new micro realistic, fundamentally probabilistic, propensiton version of quantum theory. According to this theory, the entities of the quantum domain - electrons, photons, atoms - are neither particles nor fields, but a new kind of fundamentally probabilistic entity, the propensiton - entities which interact with one another probabilistically. This version of quantum theory leaves the Schroedinger equation unchanged, but reinterprets it to specify how propensitons evolve when no probabilistic transitions occur. Probabilisitic transitions occur (...)
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  • Does probabilism solve the great quantum mystery?Nicholas Maxwell - 2010 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 19 (3):321-336.
    I put forward a micro realistic, probabilistic version of quantum theory, which specifies the precise nature of quantum entities thus solving the quantum wave/particle dilemma, and which both reproduces the empirical success of orthodox quantum theory, and yields predictions that differ from orthodox quantum theory for as yet unperformed experiments.
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  • A Local Interpretation of Quantum Mechanics.Carlos Lopez - 2016 - Foundations of Physics 46 (4):484-504.
    A local interpretation of quantum mechanics is presented. Its main ingredients are: first, a label attached to one of the “virtual” paths in the path integral formalism, determining the output for measurement of position or momentum; second, a mathematical model for spin states, equivalent to the path integral formalism for point particles in space time, with the corresponding label. The mathematical machinery of orthodox quantum mechanics is maintained, in particular amplitudes of probability and Born’s rule; therefore, Bell’s type inequalities theorems (...)
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  • A modal-Hamiltonian interpretation of quantum mechanics.Olimpia Lombardi & Mario Castagnino - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):380-443.
    The aim of this paper is to introduce a new member of the family of the modal interpretations of quantum mechanics. In this modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the property-ascription rule that selects the definite-valued observables whose possible values become actual. We show that this interpretation is effective for solving the measurement problem, both in its ideal and its non-ideal versions, and we argue for the physical relevance of the property-ascription rule by (...)
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  • A modal-Hamiltonian interpretation of quantum mechanics.Olimpia Lombardi & Mario Castagnino - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):380-443.
    The aim of this paper is to introduce a new member of the family of the modal interpretations of quantum mechanics. In this modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the property-ascription rule that selects the definite-valued observables whose possible values become actual. We show that this interpretation is effective for solving the measurement problem, both in its ideal and its non-ideal versions, and we argue for the physical relevance of the property-ascription rule by (...)
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  • The aharonov-Bohm effect and the reality of wave packets.Chuang Liu - 1994 - British Journal for the Philosophy of Science 45 (4):977-1000.
    The objective of this paper is to show that, instead of quantum probabilities, wave packets are physically real. First, Cartwright's recent argument for the reality of quantum probabilities is criticized. Then, the notion of ‘physically real’ is precisely defined and the difference between wave functions and quantum probabilities clarified. Being thus prepared, some strong reasons are discussed for considering the wave packet to be physically real. Finding the reasons inconclusive, I explain how the Aharonov—Bohm effect delivers the final punch. I (...)
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  • Fall and Rise of Aristotelian Metaphysics in the Philosophy of Science.John Lamont - 2009 - Science & Education 18 (6-7):861-884.
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  • Propensities and Probabilities. [REVIEW]Henry E. Kyberg - 1974 - British Journal for the Philosophy of Science 25 (4):358-375.
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  • Don't take unnecessary chances!Henry E. Kyburg - 2002 - Synthese 132 (1-2):9-26.
    The dominant argument for the introduction of propensities or chances as an interpretation of probability depends on the difficulty of accounting for single case probabilities. We argue that in almost all cases, the``single case'' application of probability can be accounted for otherwise. ``Propensities'' are needed only intheoretical contexts, and even there applications of probability need only depend on propensities indirectly.
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  • Epistemic Relativism, Probability, and Forms of Subjectivity.Sergey B. Kulikov - 2022 - Axiomathes 32 (6):1061-1079.
    In this article, the epistemological interpretation of the relationship between concepts of relativism, beliefs, and probability ensures a defense of two theses, namely, (i) epistemic relativism refers to attitudes that depend on the repetition and anchoring of probabilistic beliefs, and (ii) Popper’s propensity interpretation of probability discloses the connections between relativity, probability, and collective subjectivity. The propensity interpretation brings a framework for describing the role of collective subjectivity in epistemic systems. This approach, as an acceptable epistemological stance, is related to (...)
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  • 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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  • Unknown probabilities.Richard Jeffrey - 1996 - Erkenntnis 45 (2-3):327 - 335.
    From a point of view like de Finetti's, what is the judgmental reality underlying the objectivistic claim that a physical magnitude X determines the objective probability that a hypothesis H is true? When you have definite conditional judgmental probabilities for H given the various unknown values of X, a plausible answer is sufficiency, i.e., invariance of those conditional probabilities as your probability distribution over the values of X varies. A different answer, in terms of conditional exchangeability, is offered for use (...)
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  • Sir Karl Popper and his philosophy of physics.Max Jammer - 1991 - Foundations of Physics 21 (12):1357-1368.
    The eminent mathematical physicist Sir Hermann Bondi once said: “There is no more to science than its method, and there is no more to its method than Popper has said.” Indeed, many regard Sir Karl Raimund Popper the greatest philosopher of science in our generation. Much of what Popper “has said” refers to physics, but physicists, generally speaking, have little knowledge of what he has said. True, Popper's philosophy of science and, in particular, his realistic interpretation of quantum mechanics deviates (...)
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  • Is “Physical Randomness” Just Indeterminism in Disguise?Paul W. Humphreys - 1978 - PSA Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978 (2):98-113.
    The topic of this session is “physical randomness”. It might be doubted whether such a subject exists, for definitions of randomness have hitherto almost all been mathematical in nature. The only exceptions of which I am aware are the preceding paper by Benioff and a paper by Wesley Salmon. These attempts to inject some empirical content into randomness are highly desirable. But anyone attempting to formulate a physically based definition of randomness should at some point make clear what the connection (...)
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  • Critical review: Paul Teller's interpretive introduction to quantum field theory.Nick Huggett & Robert Weingard - 1996 - Philosophy of Science 63 (2):302.
    Paul Teller's new book, “An Interpretive Introduction to Quantum Field Theory”, is a pioneering work. To the best of our knowledge it is the first book by a philosopher devoted not only to explaining what quantum field theory is, but to clarifying the conceptual issues and puzzles to which the theory gives rise. As such it is an important book, which we hope will greatly stimulate work in the area as other philosophers and physicists react to it.
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  • Falsification of Propensity Models by Statistical Tests and the Goodness-of-Fit Paradox.Christian Hennig - 2007 - Philosophia Mathematica 15 (2):166-192.
    Gillies introduced a propensity interpretation of probability which is linked to experience by a falsifying rule for probability statements. The present paper argues that general statistical tests should qualify as falsification rules. The ‘goodness-of-fit paradox’ is introduced: the confirmation of a probability model by a test refutes the model's validity. An example is given in which an independence test introduces dependence. Several possibilities to interpret the paradox and to deal with it are discussed. It is concluded that the propensity interpretation (...)
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  • Bayesian decision theory, subjective and objective probabilities, and acceptance of empirical hypotheses.John C. Harsanyi - 1983 - Synthese 57 (3):341 - 365.
    It is argued that we need a richer version of Bayesian decision theory, admitting both subjective and objective probabilities and providing rational criteria for choice of our prior probabilities. We also need a theory of tentative acceptance of empirical hypotheses. There is a discussion of subjective and of objective probabilities and of the relationship between them, as well as a discussion of the criteria used in choosing our prior probabilities, such as the principles of indifference and of maximum entropy, and (...)
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  • Epistemological Open Questions.Daniel Greco - 2015 - Australasian Journal of Philosophy 93 (3):509-523.
    While there has been a great deal of recent interest in parallels between metaethics and metaepistemology, there has been little discussion of epistemological analogues of the open question argument. This is somewhat surprising—the general trend in recent work is in the direction of emphasizing the continuity between metaethics and metaepistemology, and to treat metanormative questions as arising in parallel in these two normative domains. And while the OQA has been subjected to a wide variety of objections, it is still influential (...)
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  • Varieties of propensity.Donald Gillies - 2000 - British Journal for the Philosophy of Science 51 (4):807-835.
    The propensity interpretation of probability was introduced by Popper ([1957]), but has subsequently been developed in different ways by quite a number of philosophers of science. This paper does not attempt a complete survey, but discusses a number of different versions of the theory, thereby giving some idea of the varieties of propensity. Propensity theories are classified into (i) long-run and (ii) single-case. The paper argues for a long-run version of the propensity theory, but this is contrasted with two single-case (...)
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  • Causality, propensity, and bayesian networks.Donald Gillies - 2002 - Synthese 132 (1-2):63 - 88.
    This paper investigates the relations between causality and propensity. Aparticular version of the propensity theory of probability is introduced, and it is argued that propensities in this sense are not causes. Some conclusions regarding propensities can, however, be inferred from causal statements, but these hold only under restrictive conditions which prevent cause being defined in terms of propensity. The notion of a Bayesian propensity network is introduced, and the relations between such networks and causal networks is investigated. It is argued (...)
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  • The Interpretation of Probability: Still an Open Issue? 1.Maria Carla Galavotti - 2017 - Philosophies 2 (3):20.
    Probability as understood today, namely as a quantitative notion expressible by means of a function ranging in the interval between 0–1, took shape in the mid-17th century, and presents both a mathematical and a philosophical aspect. Of these two sides, the second is by far the most controversial, and fuels a heated debate, still ongoing. After a short historical sketch of the birth and developments of probability, its major interpretations are outlined, by referring to the work of their most prominent (...)
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