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Logic of Statistical Inference

Cambridge, England: Cambridge University Press (1965)

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  1. Belief, Knowledge and Practical Matters.Jie Gao - 2024 - Hangzhou: Zhejiang University Press.
    This book takes purism about knowledge as the default position and defends it from the challenges of pragmatic encroachment. The book is divided into two parts, a negative and a positive one. The negative part critically examines existing purist strategies in response to pragmatic encroachment. The positive part provides a new theory of how practical factors can systematically influence our confidence and explores some implications of such influence.
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  • Unprincipled.Gordon Belot - 2024 - Review of Symbolic Logic 17 (2):435-474.
    It is widely thought that chance should be understood in reductionist terms: claims about chance should be understood as claims that certain patterns of events are instantiated. There are many possible reductionist theories of chance, differing as to which possible pattern of events they take to be chance-making. It is also widely taken to be a norm of rationality that credence should defer to chance: special cases aside, rationality requires that one’s credence function, when conditionalized on the chance-making facts, should (...)
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  • Probability and Inductive Logic.Antony Eagle - manuscript
    Reasoning from inconclusive evidence, or ‘induction’, is central to science and any applications we make of it. For that reason alone it demands the attention of philosophers of science. This Element explores the prospects of using probability theory to provide an inductive logic, a framework for representing evidential support. Constraints on the ideal evaluation of hypotheses suggest that overall support for a hypothesis is represented by its probability in light of the total evidence, and incremental support, or confirmation, indicated by (...)
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  • Should credence be sensitive to practical factors? A cost–benefit analysis.Jie Gao - 2023 - Mind and Language 38 (5):1238-1257.
    According to evidentialist views, credence in a proposition p should be proportional to the degree of evidential support that one has in favor of p. However, empirical evidence suggests that our credences are systematically sensitive to practical factors. In this article, I provide a cost–benefit analysis of credences' practical sensitivity. The upshot of this analysis is that credences sensitive to practical factors fare better than practically insensitive ones along several dimensions. All things considered, our credences should be sensitive to practical (...)
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  • Revisiting the two predominant statistical problems: the stopping-rule problem and the catch-all hypothesis problem.Yusaku Ohkubo - 2021 - Annals of the Japan Association for Philosophy of Science 30:23-41.
    The history of statistics is filled with many controversies, in which the prime focus has been the difference in the “interpretation of probability” between Fre- quentist and Bayesian theories. Many philosophical arguments have been elabo- rated to examine the problems of both theories based on this dichotomized view of statistics, including the well-known stopping-rule problem and the catch-all hy- pothesis problem. However, there are also several “hybrid” approaches in theory, practice, and philosophical analysis. This poses many fundamental questions. This paper (...)
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  • Hacking, Ian (1936–).Samuli Reijula - 2021 - Routledge Encyclopedia of Philosophy.
    Ian Hacking (born in 1936, Vancouver, British Columbia) is most well-known for his work in the philosophy of the natural and social sciences, but his contributions to philosophy are broad, spanning many areas and traditions. In his detailed case studies of the development of probabilistic and statistical reasoning, Hacking pioneered the naturalistic approach in the philosophy of science. Hacking’s research on social constructionism, transient mental illnesses, and the looping effect of the human kinds make use of historical materials to shed (...)
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  • Another Look at the Modal Collapse Argument.Omar Fakhri - 2021 - European Journal for Philosophy of Religion 13 (1):1-23.
    On one classical conception of God, God has no parts, not even metaphysical parts. God is not composed of form and matter, act and potency, and he is not composed of existence and essence. God is absolutely simple. This is the doctrine of Absolute Divine Simplicity. It is claimed that ADS implies a modal collapse, i.e. that God’s creation is absolutely necessary. I argue that a proper way of understanding the modal collapse argument naturally leads the proponent of ADS to (...)
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  • A questão da verdade na produção de conhecimento sobre sofrimento psíquico.Paulo Antonio de Campos Beer - 2020 - Dissertation, University of Sao Paulo
    ABSTRACT BEER, P. A. C. The matter of truth in knowledge production about psychic suffering: considerations from Ian Hacking and Jacques Lacan. 2020. 250p. Thesis (PhD) – Instituto de Psicologia, Universidade de São Paulo, São Paulo, 2020. The thesis aims to reaffirm the importance of the debate around the matter of truth in relation to the production of knowledge concerning psychic suffering. Its point of departure is the understanding that the matter of truth contains two main appearances: as employed to (...)
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  • Contrastive Causal Explanation and the Explanatoriness of Deterministic and Probabilistic Hypotheses Theories.Elliott Sober - forthcoming - European Journal for Philosophy of Science.
    Carl Hempel (1965) argued that probabilistic hypotheses are limited in what they can explain. He contended that a hypothesis cannot explain why E is true if the hypothesis says that E has a probability less than 0.5. Wesley Salmon (1971, 1984, 1990, 1998) and Richard Jeffrey (1969) argued to the contrary, contending that P can explain why E is true even when P says that E’s probability is very low. This debate concerned noncontrastive explananda. Here, a view of contrastive causal (...)
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  • Belief, Credence and Statistical Evidence.Davide Fassio & Jie Gao - 2020 - Theoria 86 (4):500-527.
    According to the Rational Threshold View, a rational agent believes p if and only if her credence in p is equal to or greater than a certain threshold. One of the most serious challenges for this view is the problem of statistical evidence: statistical evidence is often not sufficient to make an outright belief rational, no matter how probable the target proposition is given such evidence. This indicates that rational belief is not as sensitive to statistical evidence as rational credence. (...)
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  • What type of Type I error? Contrasting the Neyman–Pearson and Fisherian approaches in the context of exact and direct replications.Mark Rubin - 2021 - Synthese 198 (6):5809–5834.
    The replication crisis has caused researchers to distinguish between exact replications, which duplicate all aspects of a study that could potentially affect the results, and direct replications, which duplicate only those aspects of the study that are thought to be theoretically essential to reproduce the original effect. The replication crisis has also prompted researchers to think more carefully about the possibility of making Type I errors when rejecting null hypotheses. In this context, the present article considers the utility of two (...)
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  • Probabilistic Arguments in the Epistemological Approach to Argumentation.Christoph Lumer - 2011 - In Frans H. van Eemeren, Bart Garssen, David Godden & Gordon Mitchell (eds.), Proceedings of the Seventh International Conference of the International Society for the Study of Argumentation. Rozenberg / Sic Sat. pp. 1141-1154.
    The aim of the paper is to develop general criteria of argumentative validity and adequacy for probabilistic arguments on the basis of the epistemological approach to argumentation. In this approach, as in most other approaches to argumentation, proabilistic arguments have been neglected somewhat. Nonetheless, criteria for several special types of probabilistic arguments have been developed, in particular by Richard Feldman and Christoph Lumer. In the first part (sects. 2-5) the epistemological basis of probabilistic arguments is discussed. With regard to the (...)
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  • (1 other version)On de Finetti’s instrumentalist philosophy of probability.Joseph Berkovitz - 2019 - European Journal for Philosophy of Science 9 (2):25.
    De Finetti is one of the founding fathers of the subjective school of probability. He held that probabilities are subjective, coherent degrees of expectation, and he argued that none of the objective interpretations of probability make sense. While his theory has been influential in science and philosophy, it has encountered various objections. I argue that these objections overlook central aspects of de Finetti’s philosophy of probability and are largely unfounded. I propose a new interpretation of de Finetti’s theory that highlights (...)
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  • A subjectivist’s guide to deterministic chance.J. Dmitri Gallow - 2021 - Synthese 198 (5):4339-4372.
    I present an account of deterministic chance which builds upon the physico-mathematical approach to theorizing about deterministic chance known as 'the method of arbitrary functions'. This approach promisingly yields deterministic probabilities which align with what we take the chances to be---it tells us that there is approximately a 1/2 probability of a spun roulette wheel stopping on black, and approximately a 1/2 probability of a flipped coin landing heads up---but it requires some probabilistic materials to work with. I contend that (...)
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  • A soul of truth in things erroneous: Popper’s “amateurish” evolutionary philosophy in light of contemporary biology.Davide Vecchi & Lorenzo Baravalle - 2015 - History and Philosophy of the Life Sciences 36 (4):525-545.
    This paper will critically assess Popper’s evolutionary philosophy. There exists a rich literature on the topic with which we have many reservations. We believe that Popper’s evolutionary philosophy should be assessed in light of the intriguing theoretical insights offered, during the last 10 years or so, by the philosophy of biology, evolutionary biology and molecular biology. We will argue that, when analysed in this manner, Popper’s ideas concerning the nature of selection, Lamarckism and the theoretical limits of neo-Darwinism can be (...)
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  • Cluelessness.Hilary Greaves - 2016 - Proceedings of the Aristotelian Society 116 (3):311-339.
    Decisions, whether moral or prudential, should be guided at least in part by considerations of the consequences that would result from the various available actions. For any given action, however, the majority of its consequences are unpredictable at the time of decision. Many have worried that this leaves us, in some important sense, clueless. In this paper, I distinguish between ‘simple’ and ‘complex’ possible sources of cluelessness. In terms of this taxonomy, the majority of the existing literature on cluelessness focusses (...)
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  • The Fine-Tuning Argument and the Requirement of Total Evidence.Peter Fisher Epstein - 2017 - Philosophy of Science 84 (4):639-658.
    According to the Fine-Tuning Argument, the existence of life in our universe confirms the Multiverse Hypothesis. A standard objection to FTA is that it violates the Requirement of Total Evidence. I argue that RTE should be rejected in favor of the Predesignation Requirement, according to which, in assessing the outcome of a probabilistic process, we should only use evidence characterizable in a manner available before observing the outcome. This produces the right verdicts in some simple cases in which RTE leads (...)
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  • Shape Perception in a Relativistic Universe.Peter Fisher Epstein - 2018 - Mind 127 (506):339-379.
    According to Minkoswki, Einstein's special theory of relativity reveals that ‘space by itself, and time by itself are doomed to fade away into mere shadows’. But perceptual experience represents objects as instantiating shapes like squareness — properties of ‘space by itself’. Thus, STR seems to threaten the veridicality of shape experience. In response to this worry, some have argued that we should analyze the contents of our spatial experiences on the model of traditional secondary qualities. On this picture—defended in recent (...)
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  • From tools to theories: A heuristic of discovery in cognitive psychology.Gerd Gigerenzer - 1991 - Psychological Review 98 (2):254-267.
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  • Absence of evidence and evidence of absence: evidential transitivity in connection with fossils, fishing, fine-tuning, and firing squads.Elliott Sober - 2009 - Philosophical Studies 143 (1):63-90.
    “Absence of evidence isn’t evidence of absence” is a slogan that is popular among scientists and nonscientists alike. This article assesses its truth by using a probabilistic tool, the Law of Likelihood. Qualitative questions (“Is E evidence about H ?”) and quantitative questions (“How much evidence does E provide about H ?”) are both considered. The article discusses the example of fossil intermediates. If finding a fossil that is phenotypically intermediate between two extant species provides evidence that those species have (...)
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  • Bayesian Confirmation Theory and The Likelihood Principle.Daniel Steel - 2007 - Synthese 156 (1):53-77.
    The likelihood principle (LP) is a core issue in disagreements between Bayesian and frequentist statistical theories. Yet statements of the LP are often ambiguous, while arguments for why a Bayesian must accept it rely upon unexamined implicit premises. I distinguish two propositions associated with the LP, which I label LP1 and LP2. I maintain that there is a compelling Bayesian argument for LP1, based upon strict conditionalization, standard Bayesian decision theory, and a proposition I call the practical relevance principle. In (...)
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  • Conditional Degree of Belief and Bayesian Inference.Jan Sprenger - 2020 - Philosophy of Science 87 (2):319-335.
    Why are conditional degrees of belief in an observation E, given a statistical hypothesis H, aligned with the objective probabilities expressed by H? After showing that standard replies are not satisfactory, I develop a suppositional analysis of conditional degree of belief, transferring Ramsey’s classical proposal to statistical inference. The analysis saves the alignment, explains the role of chance-credence coordination, and rebuts the charge of arbitrary assessment of evidence in Bayesian inference. Finally, I explore the implications of this analysis for Bayesian (...)
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  • On Probabilities in Biology and Physics.Joseph Berkovitz & Philippe Huneman - 2015 - Erkenntnis 80 (S3):433-456.
    This volume focuses on various questions concerning the interpretation of probability and probabilistic reasoning in biology and physics. It is inspired by the idea that philosophers of biology and philosophers of physics who work on the foundations of their disciplines encounter similar questions and problems concerning the role and application of probability, and that interaction between the two communities will be both interesting and fruitful. In this introduction we present the background to the main questions that the volume focuses on (...)
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  • Philosophy as conceptual engineering: Inductive logic in Rudolf Carnap's scientific philosophy.Christopher F. French - 2015 - Dissertation, University of British Columbia
    My dissertation explores the ways in which Rudolf Carnap sought to make philosophy scientific by further developing recent interpretive efforts to explain Carnap’s mature philosophical work as a form of engineering. It does this by looking in detail at his philosophical practice in his most sustained mature project, his work on pure and applied inductive logic. I, first, specify the sort of engineering Carnap is engaged in as involving an engineering design problem and then draw out the complications of design (...)
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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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  • Parsimony and the Argument from Queerness.Justin Morton & Eric Sampson - 2014 - Res Philosophica 91 (4):609-627.
    In his recent book Error Theory: History, Critique, Defence, Jonas Olson attempts to revive the argument from queerness originally made famous by J.L. Mackie. In this paper, we do three things. First, we eliminate four untenable formulations of the argument. Second, we argue that the most plausible formulation is one that depends crucially upon considerations of parsimony. Finally, we evaluate this formulation of the argument. We conclude that it is unproblematic for proponents of moral non-naturalism—the target of the argument from (...)
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  • Causal models and evidential pluralism in econometrics.Alessio Moneta & Federica Russo - 2014 - Journal of Economic Methodology 21 (1):54-76.
    Social research, from economics to demography and epidemiology, makes extensive use of statistical models in order to establish causal relations. The question arises as to what guarantees the causal interpretation of such models. In this paper we focus on econometrics and advance the view that causal models are ‘augmented’ statistical models that incorporate important causal information which contributes to their causal interpretation. The primary objective of this paper is to argue that causal claims are established on the basis of a (...)
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  • Two Cornell realisms: moral and scientific.Elliott Sober - 2015 - Philosophical Studies 172 (4):905-924.
    Richard Boyd and Nicholas Sturgeon develop distinctive naturalistic arguments for scientific realism and moral realism. Each defends a realist position by an inference to the best explanation. In this paper, I suggest that these arguments for realism should be reformulated, with the law of likelihood replacing inference to the best explanation. The resulting arguments for realism do not work.
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  • Beyond interactionism: A transactional approach to behavioral development.David B. Miller - 1988 - Behavioral and Brain Sciences 11 (4):641-642.
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  • When is developmental biology not developmental biology?Ronald Konopka - 1988 - Behavioral and Brain Sciences 11 (4):639-639.
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  • Cephalic Organization: Animacy and Agency.Jay Schulkin - 2008 - Contemporary Pragmatism 5 (1):61-77.
    Humans come prepared to recognize two fundamental features of our surroundings: animate objects and agents. This recognition begins early in ontogeny and pervades our ecological and social space. This cognitive capacity reveals an important adaptation and sets the conditions for pervasive shared experiences. One feature of our species and our evolved cephalic substrates is that we are prepared to recognize self-propelled action in others. Our cultural evolution is knotted to an expanding sense of shared experiences.
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  • Empiricism and/or Instrumentalism?Prasanta S. Bandyopadhyay, Mark Greenwood, Gordon Brittan & Ken A. Aho - 2014 - Erkenntnis 79 (5):1019-1041.
    Elliott Sober is both an empiricist and an instrumentalist. His empiricism rests on a principle called actualism, whereas his instrumentalism violates this. This violation generates a tension in his work. We argue that Sober is committed to a conflicting methodological imperative because of this tension. Our argument illuminates the contemporary debate between realism and empiricism which is increasingly focused on the application of scientific inference to testing scientific theories. Sober’s position illustrates how the principle of actualism drives a wedge between (...)
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  • The Confirmational Significance of Agreeing Measurements.Casey Helgeson - 2013 - Philosophy of Science 80 (5):721-732.
    Agreement between "independent" measurements of a theoretically posited quantity is intuitively compelling evidence that a theory is, loosely speaking, on the right track. But exactly what conclusion is warranted by such agreement? I propose a new account of the phenomenon's epistemic significance within the framework of Bayesian epistemology. I contrast my proposal with the standard Bayesian treatment, which lumps the phenomenon under the heading of "evidential diversity".
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  • Gender Issues in Corporate Leadership.Devora Shapiro & Marilea Bramer - 2013 - Handbook of the Philosophical Foundations of Business Ethics:1177-1189.
    Gender greatly impacts access to opportunities, potential, and success in corporate leadership roles. We begin with a general presentation of why such discussion is necessary for basic considerations of justice and fairness in gender equality and how the issues we raise must impact any ethical perspective on gender in the corporate workplace. We continue with a breakdown of the central categories affecting the success of women in corporate leadership roles. The first of these includes gender-influenced behavioral factors, such as the (...)
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  • What can we Learn from Buridan's Ass?Ruth Weintraub - 2012 - Canadian Journal of Philosophy 42 (3):281-301.
    The mythical1 hungry ass, facing two identical bundles of hay equidistant from him, has engendered two related questions. Can he choose one of the bundles, there seemingly being nothing to incline him one way or the other? If he can, the second puzzle — pertaining to rational choice — arises. It seems the ass cannot rationally choose one of the bundles, because there is no sufficient reason for any choice.2In what follows, I will argue that choice is possible even when (...)
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  • A frequentist interpretation of probability for model-based inductive inference.Aris Spanos - 2013 - Synthese 190 (9):1555-1585.
    The main objective of the paper is to propose a frequentist interpretation of probability in the context of model-based induction, anchored on the Strong Law of Large Numbers (SLLN) and justifiable on empirical grounds. It is argued that the prevailing views in philosophy of science concerning induction and the frequentist interpretation of probability are unduly influenced by enumerative induction, and the von Mises rendering, both of which are at odds with frequentist model-based induction that dominates current practice. The differences between (...)
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  • Persistent Experimenters, Stopping Rules, and Statistical Inference.Katie Steele - 2013 - Erkenntnis 78 (4):937-961.
    This paper considers a key point of contention between classical and Bayesian statistics that is brought to the fore when examining so-called ‘persistent experimenters’—the issue of stopping rules, or more accurately, outcome spaces, and their influence on statistical analysis. First, a working definition of classical and Bayesian statistical tests is given, which makes clear that (1) once an experimental outcome is recorded, other possible outcomes matter only for classical inference, and (2) full outcome spaces are nevertheless relevant to both the (...)
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  • Primitive representation and misrepresentation.Ken Warmbrōd - 1992 - Topoi 11 (1):89-101.
    This paper develops a statistical approach to the problem of primitive representation. Representation of the kind commonly attributed to litmus paper, fuel gauges and tree rings occurs when, so to speak, there is a sufficiently good correlation between two variables. The fundamental distinction between misrepresentation and non-representation is explained in terms of the notion of an informationally useful correlation. The paper further argues that the statistical approach satisfactorily resolves well known puzzles such as Fodor's disjunction problem.
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  • Multiple Studies and Evidential Defeat.Matthew Kotzen - 2011 - Noûs 47 (1):154-180.
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  • An impossibility theorem for amalgamating evidence.Jacob Stegenga - 2013 - Synthese 190 (12):2391-2411.
    Amalgamating evidence of different kinds for the same hypothesis into an overall confirmation is analogous, I argue, to amalgamating individuals’ preferences into a group preference. The latter faces well-known impossibility theorems, most famously “Arrow’s Theorem”. Once the analogy between amalgamating evidence and amalgamating preferences is tight, it is obvious that amalgamating evidence might face a theorem similar to Arrow’s. I prove that this is so, and end by discussing the plausibility of the axioms required for the theorem.
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  • Weisberg on Design: What Fine-Tuning’s Got to Do with It.Darren Bradley - 2012 - Erkenntnis 77 (3):435-438.
    Jonathan Weisberg (2010 ) argues that, given that life exists, the fact that the universe is fine-tuned for life does not confirm the design hypothesis. And if the fact that life exists confirms the design hypothesis, fine-tuning is irrelevant. So either way, fine-tuning has nothing to do with it. I will defend a design argument that survives Weisberg’s critique — the fact that life exists supports the design hypothesis, but it only does so given fine-tuning.
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  • Physical Probability.Patrick Maher - unknown
    By “physical probability” I mean the empirical concept of probability in ordinary language. It can be represented as a function of an experiment type and an outcome type, which explains how non-extreme physical probabilities are compatible with determinism. Two principles, called specification and independence, put restrictions on the existence of physical probabilities, while a principle of direct inference connects physical probability with inductive probability. This account avoids a variety of weaknesses in the theories of Levi and Lewis.
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  • What is Probability?Patrick Maher - unknown
    In October 2009 I decided to stop doing philosophy. This meant, in particular, stopping work on the book that I was writing on the nature of probability. At that time, I had no intention of making my unfinished draft available to others. However, I recently noticed how many people are reading the lecture notes and articles on my web site. Since this draft book contains some important improvements on those materials, I decided to make it available to anyone who wants (...)
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  • A Priori Causal Models of Natural Selection.Elliott Sober - 2011 - Australasian Journal of Philosophy 89 (4):571 - 589.
    To evaluate Hume's thesis that causal claims are always empirical, I consider three kinds of causal statement: ?e1 caused e2 ?, ?e1 promoted e2 ?, and ?e1 would promote e2 ?. Restricting my attention to cases in which ?e1 occurred? and ?e2 occurred? are both empirical, I argue that Hume was right about the first two, but wrong about the third. Standard causal models of natural selection that have this third form are a priori mathematical truths. Some are obvious, others (...)
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  • The limits of causal order, from economics to physics.Nancy Cartwright - 2002 - In Uskali Mäki (ed.), Fact and Fiction in Economics: Models, Realism and Social Construction. New York: Cambridge University Press. pp. 137-151.
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  • Three conceptions of explaining how possibly—and one reductive account.Johannes Persson - 2011 - In Henk W. de Regt (ed.), EPSA Philosophy of Science: Amsterdam 2009. Springer. pp. 275--286.
    Philosophers of science have often favoured reductive approaches to how-possibly explanation. This article identifies three alternative conceptions making how-possibly explanation an interesting phenomenon in its own right. The first variety approaches “how possibly X?” by showing that X is not epistemically impossible. This can sometimes be achieved by removing misunderstandings concerning the implications of one’s current belief system but involves characteristically a modification of this belief system so that acceptance of X does not result in contradiction. The second variety offers (...)
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  • Deterministic Chance.Antony Eagle - 2010 - Noûs 45 (2):269 - 299.
    I sketch a new constraint on chance, which connects chance ascriptions closely with ascriptions of ability, and more specifically with 'CAN'-claims. This connection between chance and ability has some claim to be a platitude; moreover, it exposes the debate over deterministic chance to the extensive literature on (in)compatibilism about free will. The upshot is that a prima facie case for the tenability of deterministic chance can be made. But the main thrust of the paper is to draw attention to the (...)
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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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  • Confirmation in a Branching World: The Everett Interpretation and Sleeping Beauty.Darren Bradley - 2011 - British Journal for the Philosophy of Science 62 (2):323-342.
    Sometimes we learn what the world is like, and sometimes we learn where in the world we are. Are there any interesting differences between the two kinds of cases? The main aim of this article is to argue that learning where we are in the world brings into view the same kind of observation selection effects that operate when sampling from a population. I will first explain what observation selection effects are ( Section 1 ) and how they are relevant (...)
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  • (1 other version)Interpretations of probability.Alan Hájek - 2007 - Stanford Encyclopedia of Philosophy.
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