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  1. Models and Explanation.Alisa Bokulich - 2017 - In Magnani Lorenzo & Bertolotti Tommaso Wayne (eds.), Springer Handbook of Model-Based Science. Springer. pp. 103-118.
    Detailed examinations of scientific practice have revealed that the use of idealized models in the sciences is pervasive. These models play a central role in not only the investigation and prediction of phenomena, but in their received scientific explanations as well. This has led philosophers of science to begin revising the traditional philosophical accounts of scientific explanation in order to make sense of this practice. These new model-based accounts of scientific explanation, however, raise a number of key questions: Can the (...)
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  • Falsification and the Methodology of Scientific Research Programmes.Imre Lakatos - 1970 - In Imre Lakatos & Alan Musgrave (eds.), Criticism and the growth of knowledge. Cambridge [Eng.]: Cambridge University Press. pp. 91-196.
     
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  • Robustness Analysis as Explanatory Reasoning.Jonah N. Schupbach - 2018 - British Journal for the Philosophy of Science 69 (1):275-300.
    When scientists seek further confirmation of their results, they often attempt to duplicate the results using diverse means. To the extent that they are successful in doing so, their results are said to be robust. This paper investigates the logic of such "robustness analysis" [RA]. The most important and challenging question an account of RA can answer is what sense of evidential diversity is involved in RAs. I argue that prevailing formal explications of such diversity are unsatisfactory. I propose a (...)
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  • Understanding with theoretical models.Petri Ylikoski & N. Emrah Aydinonat - 2014 - Journal of Economic Methodology 21 (1):19-36.
    This paper discusses the epistemic import of highly abstract and simplified theoretical models using Thomas Schelling’s checkerboard model as an example. We argue that the epistemic contribution of theoretical models can be better understood in the context of a cluster of models relevant to the explanatory task at hand. The central claim of the paper is that theoretical models make better sense in the context of a menu of possible explanations. In order to justify this claim, we introduce a distinction (...)
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  • Why There’s No Cause to Randomize.John Worrall - 2007 - British Journal for the Philosophy of Science 58 (3):451-488.
    The evidence from randomized controlled trials (RCTs) is widely regarded as supplying the ‘gold standard’ in medicine—we may sometimes have to settle for other forms of evidence, but this is always epistemically second-best. But how well justified is the epistemic claim about the superiority of RCTs? This paper adds to my earlier (predominantly negative) analyses of the claims produced in favour of the idea that randomization plays a uniquely privileged epistemic role, by closely inspecting three related arguments from leading contributors (...)
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  • Evidence in medicine and evidence-based medicine.John Worrall - 2007 - Philosophy Compass 2 (6):981–1022.
    It is surely obvious that medicine, like any other rational activity, must be based on evidence. The interest is in the details: how exactly are the general principles of the logic of evidence to be applied in medicine? Focussing on the development, and current claims of the ‘Evidence-Based Medicine’ movement, this article raises a number of difficulties with the rationales that have been supplied in particular for the ‘evidence hierarchy’ and for the very special role within that hierarchy of randomized (...)
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  • The Problematic Welfare Standards of Behavioral Paternalism.Douglas Glen Whitman & Mario J. Rizzo - 2015 - Review of Philosophy and Psychology 6 (3):409-425.
    Behavioral paternalism raises deep concerns that do not arise in traditional welfare economics. These concerns stem from behavioral paternalism’s acceptance of the defining axioms of neoclassical rationality for normative purposes, despite having rejected them as positive descriptions of reality. We argue that behavioral paternalists have indeed accepted neoclassical rationality axioms as a welfare standard; that economists historically adopted these axioms not for their normative plausibility, but for their usefulness in formal and theoretical modeling; that broadly rational individuals might fail to (...)
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  • Non-causal understanding with economic models: the case of general equilibrium.Philippe Verreault-Julien - 2017 - Journal of Economic Methodology 24 (3):297-317.
    How can we use models to understand real phenomena if models misrepresent the very phenomena we seek to understand? Some accounts suggest that models may afford understanding by providing causal knowledge about phenomena via how-possibly explanations. However, general equilibrium models, for example, pose a challenge to this solution since their contribution appears to be purely mathematical results. Despite this, practitioners widely acknowledge that it improves our understanding of the world. I argue that the Arrow–Debreu model provides a mathematical how-possibly explanation (...)
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  • How could models possibly provide how-possibly explanations?Philippe Verreault-Julien - 2019 - Studies in History and Philosophy of Science Part A 73:1-12.
    One puzzle concerning highly idealized models is whether they explain. Some suggest they provide so-called ‘how-possibly explanations’. However, this raises an important question about the nature of how-possibly explanations, namely what distinguishes them from ‘normal’, or how-actually, explanations? I provide an account of how-possibly explanations that clarifies their nature in the context of solving the puzzle of model-based explanation. I argue that the modal notions of actuality and possibility provide the relevant dividing lines between how-possibly and how-actually explanations. Whereas how-possibly (...)
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  • Looking for a Psychology for the Inner Rational Agent.Robert Sugden - 2015 - Social Theory and Practice 41 (4):579-598.
    Research in psychology and behavioral economics shows that individuals’ choices often depend on “irrelevant” contextual factors. This presents problems for normative economics, which has traditionally used preference-satisfaction as its criterion. A common response is to claim that individuals have context-independent latent preferences which are “distorted” by psychological factors, and that latent preferences should be respected. This response implicitly uses a model of human action in which each human being has an “inner rational agent.” I argue that this model is psychologically (...)
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  • Robustness Analysis as Explanatory Reasoning.Jonah N. Schupbach - 2016 - British Journal for the Philosophy of Science 69 (1):275-300.
    ABSTRACT When scientists seek further confirmation of their results, they often attempt to duplicate the results using diverse means. To the extent that they are successful in doing so, their results are said to be ‘robust’. This article investigates the logic of such ‘robustness analysis’. The most important and challenging question an account of RA can answer is what sense of evidential diversity is involved in RAs. I argue that prevailing formal explications of such diversity are unsatisfactory. I propose a (...)
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  • Models Don’t Decompose That Way: A Holistic View of Idealized Models.Collin Rice - 2019 - British Journal for the Philosophy of Science 70 (1):179-208.
    Many accounts of scientific modelling assume that models can be decomposed into the contributions made by their accurate and inaccurate parts. These accounts then argue that the inaccurate parts of the model can be justified by distorting only what is irrelevant. In this paper, I argue that this decompositional strategy requires three assumptions that are not typically met by our best scientific models. In response, I propose an alternative view in which idealized models are characterized as holistically distorted representations that (...)
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  • Understanding (with) Toy Models.Alexander Reutlinger, Dominik Hangleiter & Stephan Hartmann - 2018 - British Journal for the Philosophy of Science 69 (4):1069-1099.
    Toy models are highly idealized and extremely simple models. Although they are omnipresent across scientific disciplines, toy models are a surprisingly under-appreciated subject in the philosophy of science. The main philosophical puzzle regarding toy models concerns what the epistemic goal of toy modelling is. One promising proposal for answering this question is the claim that the epistemic goal of toy models is to provide individual scientists with understanding. The aim of this article is to precisely articulate and to defend this (...)
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  • Understanding (With) Toy Models.Alexander Reutlinger, Dominik Hangleiter & Stephan Hartmann - 2016 - British Journal for the Philosophy of Science:axx005.
    Toy models are highly idealized and extremely simple models. Although they are omnipresent across scientific disciplines, toy models are a surprisingly under-appreciated subject in the philosophy of science. The main philosophical puzzle regarding toy models is that it is an unsettled question what the epistemic goal of toy modeling is. One promising proposal for answering this question is the claim that the epistemic goal of toy models is to provide individual scientists with understanding. The aim of this paper is to (...)
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  • Two approaches to reasoning from evidence or what econometrics can learn from biomedical research.Julian Reiss - 2015 - Journal of Economic Methodology 22 (3):373-390.
    This paper looks at an appeal to the authority of biomedical research that has recently been used by empirical economists to motivate and justify their methods. I argue that those who make this appeal mistake the nature of biomedical research. Randomised trials, which are said to have revolutionised biomedical research, are a central methodology, but according to only one paradigm. There is another paradigm at work in biomedical research, the inferentialist paradigm, in which randomised trials play no special role. I (...)
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  • The directionality of distinctively mathematical explanations.Carl F. Craver & Mark Povich - 2017 - Studies in History and Philosophy of Science Part A 63:31-38.
    In “What Makes a Scientific Explanation Distinctively Mathematical?” (2013b), Lange uses several compelling examples to argue that certain explanations for natural phenomena appeal primarily to mathematical, rather than natural, facts. In such explanations, the core explanatory facts are modally stronger than facts about causation, regularity, and other natural relations. We show that Lange's account of distinctively mathematical explanation is flawed in that it fails to account for the implicit directionality in each of his examples. This inadequacy is remediable in each (...)
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  • Models and the locus of their truth.Uskali Mäki - 2011 - Synthese 180 (1):47 - 63.
    If models can be true, where is their truth located? Giere (Explaining science, University of Chicago Press, Chicago, 1998) has suggested an account of theoretical models on which models themselves are not truth-valued. The paper suggests modifying Giere’s account without going all the way to purely pragmatic conceptions of truth—while giving pragmatics a prominent role in modeling and truth-acquisition. The strategy of the paper is to ask: if I want to relocate truth inside models, how do I get it, what (...)
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  • MISSing the World. Models as Isolations and Credible Surrogate Systems.Uskali Mäki - 2009 - Erkenntnis 70 (1):29-43.
    This article shows how the MISS account of models—as isolations and surrogate systems—accommodates and elaborates Sugden’s account of models as credible worlds and Hausman’s account of models as explorations. Theoretical models typically isolate by means of idealization, and they are representatives of some target system, which prompts issues of resemblance between the two to arise. Models as representations are constrained both ontologically (by their targets) and pragmatically (by the purposes and audiences of the modeller), and these relations are coordinated by (...)
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  • MISSing the World. Models as Isolations and Credible Surrogate Systems.Uskali Mäki - 2009 - Erkenntnis 70 (1):29-43.
    This article shows how the MISS account of models—as isolations and surrogate systems—accommodates and elaborates Sugden’s account of models as credible worlds and Hausman’s account of models as explorations. Theoretical models typically isolate by means of idealization, and they are representatives of some target system, which prompts issues of resemblance between the two to arise. Models as representations are constrained both ontologically (by their targets) and pragmatically (by the purposes and audiences of the modeller), and these relations are coordinated by (...)
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  • The normative decision theory in economics: a philosophy of science perspective. The case of the expected utility theory.Magdalena Małecka - 2019 - Journal of Economic Methodology 27 (1):36-50.
    This article analyses how normative decision theory is understood by economists. The paradigmatic example of normative decision theory, discussed in the article, is the expected utility theory. It...
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  • The Institutional Consequences of Nudging – Nudges, Politics, and the Law.Robert Lepenies & Magdalena Małecka - 2015 - Review of Philosophy and Psychology 6 (3):427-437.
    In this article we argue that a widespread adoption of nudging can alter legal and political institutions. Debates on nudges thus far have largely revolved around a set of philosophical theories that we call individualistic approaches. Our analysis concerns the ways in which adherents of nudging make use of the newest findings in the behavioral sciences for the purposes of policy-making. We emphasize the fact that most nudges proposed so far are not a part of the legal system and are (...)
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  • What Makes a Scientific Explanation Distinctively Mathematical?Marc Lange - 2013 - British Journal for the Philosophy of Science 64 (3):485-511.
    Certain scientific explanations of physical facts have recently been characterized as distinctively mathematical –that is, as mathematical in a different way from ordinary explanations that employ mathematics. This article identifies what it is that makes some scientific explanations distinctively mathematical and how such explanations work. These explanations are non-causal, but this does not mean that they fail to cite the explanandum’s causes, that they abstract away from detailed causal histories, or that they cite no natural laws. Rather, in these explanations, (...)
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  • A reply to Craver and Povich on the directionality of distinctively mathematical explanations.Marc Lange - 2018 - Studies in History and Philosophy of Science Part A 67:85-88.
  • Economic Modelling as Robustness Analysis.Jaakko Kuorikoski, Aki Lehtinen & Caterina Marchionni - 2010 - British Journal for the Philosophy of Science 61 (3):541-567.
    We claim that the process of theoretical model refinement in economics is best characterised as robustness analysis: the systematic examination of the robustness of modelling results with respect to particular modelling assumptions. We argue that this practise has epistemic value by extending William Wimsatt's account of robustness analysis as triangulation via independent means of determination. For economists robustness analysis is a crucial methodological strategy because their models are often based on idealisations and abstractions, and it is usually difficult to tell (...)
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  • Modelling as Indirect Representation? The Lotka–Volterra Model Revisited.Tarja Knuuttila & Andrea Loettgers - 2017 - British Journal for the Philosophy of Science 68 (4):1007-1036.
    ABSTRACT Is there something specific about modelling that distinguishes it from many other theoretical endeavours? We consider Michael Weisberg’s thesis that modelling is a form of indirect representation through a close examination of the historical roots of the Lotka–Volterra model. While Weisberg discusses only Volterra’s work, we also study Lotka’s very different design of the Lotka–Volterra model. We will argue that while there are elements of indirect representation in both Volterra’s and Lotka’s modelling approaches, they are largely due to two (...)
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  • Facts, norms and expected utility functions.Sophie Jallais, Pierre-Charles Pradier & David Teira - 2008 - History of the Human Sciences 21 (2):45-62.
    In this article we explore an argumentative pattern that provides a normative justification for expected utility functions grounded on empirical evidence, showing how it worked in three different episodes of their development. The argument claims that we should prudentially maximize our expected utility since this is the criterion effectively applied by those who are considered wisest in making risky choices (be it gamblers or businessmen). Yet, to justify the adoption of this rule, it should be proven that this is empirically (...)
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  • Preference purification and the inner rational agent: a critique of the conventional wisdom of behavioural welfare economics.Gerardo Infante, Guilhem Lecouteux & Robert Sugden - 2016 - Journal of Economic Methodology 23 (1):1-25.
    Neoclassical economics assumes that individuals have stable and context-independent preferences, and uses preference satisfaction as a normative criterion. By calling this assumption into question, behavioural findings cause fundamental problems for normative economics. A common response to these problems is to treat deviations from conventional rational choice theory as mistakes, and to try to reconstruct the preferences that individuals would have acted on, had they reasoned correctly. We argue that this preference purification approach implicitly uses a dualistic model of the human (...)
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  • From theories of human behavior to rules of rational choice.Catherine Herfeld - 2018 - History of Political Economy 50 (1):1-48.
    This article traces a normative turn between the middle of the 1940s and the early 1950s reflected in the reformulation, interpretation, and use of rational choice theories at the Cowles Commission for Research in Economics. This turn is paralleled by a transition from Jacob Marschak’s to Tjalling Koopmans’s research program. While rational choice theories initially raised high hopes that they would serve as empirical accounts to inform testable hypotheses about economic regularities, they became increasingly modified and interpreted as normative approaches (...)
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  • Success conditions for nudges: a methodological critique of libertarian paternalism.Conrad Heilmann - 2014 - European Journal for Philosophy of Science 4 (1):1-20.
    This paper provides a methodological analysis of Libertarian Paternalism, as put forward in the book Nudge by Richard Thaler and Cass Sunstein (Yale University Press, 2008). Libertarian Paternalism aims to use the accumulated findings of behavioural economics in order to assist decision-makers to make better choices. The philosophical debate about this proposal has focused on normative issues with regards to this proposal. This paper analyses Libertarian Paternalism descriptively and points out four methodological conditions for successful Nudges. On that basis, a (...)
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  • Philosophy of Economics: A Retrospective Reflection.Daniel M. Hausman - 2018 - Revue de Philosophie Économique 18 (2):185-202.
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  • Philosophy of Economics: A Retrospective Reflection.Daniel M. Hausman - 2018 - Revue de Philosophie Économique 18 (2):185-202.
  • On the Econ within.Daniel M. Hausman - 2016 - Journal of Economic Methodology 23 (1):26-32.
    This essay examines the critique of behavioral economics that Infante, Lecouteaux and Sugden offer in:"Preference Purification and the Inner Rational Agent.” It identifies and questions three main criticisms that ILS make: a methodological criticism, alleging that there is no psychological basis for the attribution of purified preferences, an epistemological criticism, alleging that there is little evidence for claims about purified preferences, and a normative criticism, arguing that policies should aim to facilitate people’s choices rather than to satisfy purified preferences. The (...)
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  • Debate: To nudge or not to nudge.Daniel M. Hausman & Brynn Welch - 2009 - Journal of Political Philosophy 18 (1):123-136.
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  • Behavioural economics and paternalism.Daniel M. Hausman - 2018 - Economics and Philosophy 34 (1):53-66.
    :Contemporary behavioural economics has documented common failures of reasoning that apparently make possible policies that benefit individuals by contravening or correcting their judgements. These policies appear to be paternalistic, even though a traditional view would deny that they are paternalistic on the grounds that policies such as nudges do not restrict individual liberty. It appears to many that a new definition of paternalism that takes its cue from behavioural economics is needed. Furthermore, if one revises the definition of paternalism, one (...)
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  • Derivational robustness, credible substitute systems and mathematical economic models: the case of stability analysis in Walrasian general equilibrium theory.D. Wade Hands - 2016 - European Journal for Philosophy of Science 6 (1):31-53.
    This paper supports the literature which argues that derivational robustness can have epistemic import in highly idealized economic models. The defense is based on a particular example from mathematical economic theory, the dynamic Walrasian general equilibrium model. It is argued that derivational robustness first increased and later decreased the credibility of the Walrasian model. The example demonstrates that derivational robustness correctly describes the practices of a particular group of influential economic theorists and provides support for the arguments of philosophers who (...)
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  • Blurred boundaries: Recent changes in the relationship between economics and the philosophy of natural science.D. Wade Hands - 1994 - Studies in History and Philosophy of Science Part A 25 (5):751-772.
  • Public Views on Policies Involving Nudges.William Hagman, David Andersson, Daniel Västfjäll & Gustav Tinghög - 2015 - Review of Philosophy and Psychology 6 (3):439-453.
    When should nudging be deemed as permissible and when should it be deemed as intrusive to individuals’ freedom of choice? Should all types of nudges be judged the same? To date the debate concerning these issues has largely proceeded without much input from the general public. The main objective of this study is to elicit public views on the use of nudges in policy. In particular we investigate attitudes toward two broad categories of nudges that we label pro-self and pro-social (...)
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  • A Political Justification of Nudging.Francesco Guala & Luigi Mittone - 2015 - Review of Philosophy and Psychology 6 (3):385-395.
    Thaler and Sunstein justify nudge policies from welfaristic premises: nudges are acceptable because they benefit the individuals who are nudged. A tacit assumption behind this strategy is that we can identify the true preferences of decision-makers. We argue that this assumption is often unwarranted, and that as a consequence nudge policies must be justified in a different way. A possible strategy is to abandon welfarism and endorse genuine paternalism. Another one is to argue that the biases of decision that choice (...)
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  • Nudge Versus Boost: How Coherent are Policy and Theory?Till Grüne-Yanoff & Ralph Hertwig - 2016 - Minds and Machines 26 (1-2):149-183.
    If citizens’ behavior threatens to harm others or seems not to be in their own interest, it is not uncommon for governments to attempt to change that behavior. Governmental policy makers can apply established tools from the governmental toolbox to this end. Alternatively, they can employ new tools that capitalize on the wealth of knowledge about human behavior and behavior change that has been accumulated in the behavioral sciences. Two contrasting approaches to behavior change are nudge policies and boost policies. (...)
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  • Learning from Minimal Economic Models.Till Grüne-Yanoff - 2009 - Erkenntnis 70 (1):81-99.
    It is argued that one can learn from minimal economic models. Minimal models are models that are not similar to the real world, do not resemble some of its features, and do not adhere to accepted regularities. One learns from a model if constructing and analysing the model affects one’s confidence in hypotheses about the world. Economic models, I argue, are often assessed for their credibility. If a model is judged credible, it is considered to be a relevant possibility. Considering (...)
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  • Appraising Models Nonrepresentationally.Till Grüne-Yanoff - 2013 - Philosophy of Science 80 (5):850-861.
    Many scientific models lack an established representation relation to actual targets and instead refer to merely possible processes, background conditions, and results. This article shows how such models can be appraised. On the basis of the discussion of how-possibly explanations, five types of learning opportunities are distinguished. For each of these types, an example—from economics, biology, psychology, and sociology—is discussed. Contexts and purposes are identified in which the use of a model offers a genuine opportunity to learn. These learning opportunities (...)
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  • Disease-mongering through clinical trials.María González-Moreno, Cristian Saborido & David Teira - 2015 - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 51:11-18.
    Our goal in this paper is to articulate a precise concept of at least a certain kind of disease-mongering, showing how pharmaceutical marketing can commercially exploit certain diseases when their best definition is given through the success of a treatment in a clinical trial. We distinguish two types of disease-mongering according to the way they exploit the definition of the trial population for marketing purposes. We argue that behind these two forms of disease-mongering there are two well-known problems in the (...)
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  • On the Supposed Evidence for Libertarian Paternalism.Gerd Gigerenzer - 2015 - Review of Philosophy and Psychology 6 (3):361-383.
    Can the general public learn to deal with risk and uncertainty, or do authorities need to steer people’s choices in the right direction? Libertarian paternalists argue that results from psychological research show that our reasoning is systematically flawed and that we are hardly educable because our cognitive biases resemble stable visual illusions. For that reason, they maintain, authorities who know what is best for us need to step in and steer our behavior with the help of “nudges.” Nudges are nothing (...)
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  • The fiction view of models reloaded.Roman Frigg & James Nguyen - 2016 - The Monist 99 (3):225-242.
    In this paper we explore the constraints that our preferred account of scientific representation places on the ontology of scientific models. Pace the Direct Representation view associated with Arnon Levy and Adam Toon we argue that scientific models should be thought of as imagined systems, and clarify the relationship between imagination and representation.
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  • On the analogy between field experiments in economics and clinical trials in medicine.Judith Favereau - 2016 - Journal of Economic Methodology 23 (2):203-222.
    Randomized experiments, as developed by Esther Duflo and Abhijit Banerjee at the Abdul Latif Jameel Poverty Action Lab, offer a novel, evidence-based approach to fighting poverty. This approach is original, in that it imports the methodology of clinical trials for application in development economics. This paper examines the analogy between J-PAL’s field experiments in development economics and randomized controlled trials in medicine. RCTs and randomized field experiments are commonly treated as identical, but such treatment neglects some of the major distinguishing (...)
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  • Evidence-based policy: what’s to be done about relevance?: For the 2008 Oberlin Philosophy Colloquium. [REVIEW]Nancy Cartwright - 2009 - Philosophical Studies 143 (1):127 - 136.
    How can philosophy of science be of more practical use? One thing we can do is provide practicable advice about how to determine when one empirical claim is relevant to the truth of another; i.e., about evidential relevance. This matters especially for evidence-based policy, where advice is thin—and misleading—about how to tell what counts as evidence for policy effectiveness. This paper argues that good efficacy results (as in randomized controlled trials), which are all the rage now, are only a very (...)
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  • Evidence-based policy: what's to be done about relevance?Nancy Cartwright - 2009 - Philosophical Studies 143 (1):127-136.
    How can philosophy of science be of more practical use? One thing we can do is provide practicable advice about how to determine when one empirical claim is relevant to the truth of another; i.e., about evidential relevance. This matters especially for evidence-based policy, where advice is thin—and misleading—about how to tell what counts as evidence for policy effectiveness. This paper argues that good efficacy results (as in randomized controlled trials), which are all the rage now, are only a very (...)
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  • Distinguishing Explanatory from Nonexplanatory Fictions.Alisa Bokulich - 2012 - Philosophy of Science 79 (5):725-737.
    There is a growing recognition that fictions have a number of legitimate functions in science, even when it comes to scientific explanation. However, the question then arises, what distinguishes an explanatory fiction from a nonexplanatory one? Here I examine two cases—one in which there is a consensus in the scientific community that the fiction is explanatory and another in which the fiction is not explanatory. I shall show how my account of “model explanations” is able to explain this asymmetry, and (...)
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  • Fiction As a Vehicle for Truth: Moving Beyond the Ontic Conception.Alisa Bokulich - 2016 - The Monist 99 (3):260-279.
    Despite widespread evidence that fictional models play an explanatory role in science, resistance remains to the idea that fictions can explain. A central source of this resistance is a particular view about what explanations are, namely, the ontic conception of explanation. According to the ontic conception, explanations just are the concrete entities in the world. I argue this conception is ultimately incoherent and that even a weaker version of the ontic conception fails. Fictional models can succeed in offering genuine explanations (...)
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  • On the explanatory role of mathematics in empirical science.Robert W. Batterman - 2010 - British Journal for the Philosophy of Science 61 (1):1-25.
    This paper examines contemporary attempts to explicate the explanatory role of mathematics in the physical sciences. Most such approaches involve developing so-called mapping accounts of the relationships between the physical world and mathematical structures. The paper argues that the use of idealizations in physical theorizing poses serious difficulties for such mapping accounts. A new approach to the applicability of mathematics is proposed.
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