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Logical Foundations of Probability

Mind 62 (245):86-99 (1950)

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  1. Corroboration: Sensitivity, Safety, and Explanation.David Godden - 2019 - Acta Analytica 34 (1):15-38.
    Corroborative evidence may be understood as having two epistemic effects: a primary effect by which it offers direct evidence for some claim, and a secondary effect by which it bolsters the appraised probative, or evidential, value of some other piece of evidence for that claim. This paper argues that the bolstering effect of corroborative evidence is epistemically legitimate because corroboration provides a reason to count the belief based on the initial evidence as sensitive to, and safe from, defeat in a (...)
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  • Expressive Responding, Experimental Philosophy, and Philosophical Expertise.Shane Nicholas Glackin - forthcoming - Review of Philosophy and Psychology:1-23.
    The Experimental Philosophy (“X-Phi”) movement applies the methodology of empirical sciences – most commonly empirical psychology – to traditional philosophical questions. In its radical, “negative” form, X-Phi uses the resulting empirical data to cast doubt on the reliability of common philosophical methods, arguing for radical reform of philosophical methodology.In this paper I develop two connected methodological worries about this second enterprise. The first concerns the data elicited by questionnaires and other empirical survey methods; recent work in political science suggests that (...)
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  • Refinando el marco epistemológico de las simulaciones de sistemas sociales.Leandro Ariel Giri - 2016 - Revista de Humanidades de Valparaíso 7:59-76.
    In the present work we will search for a refinement of some key epistemological perspectives for the construction of a methodological framework in the social systems simulations area. So, we will proceed to show the origin of some issues in the existent conceptualization and its path through the information sciences as a precedent. There we will identify the consequences of such issues and will work in enlightening the conflictive notions in order to defend an epistemological pluralism which would result beneficial (...)
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  • Missing Concepts in Natural Selection Theory Reconstructions.Santiago Ginnobili - 2016 - History and Philosophy of the Life Sciences 38 (3):1-33.
    The concept of fitness has generated a lot of discussion in philosophy of biology. There is, however, relative agreement about the need to distinguish at least two uses of the term: ecological fitness on the one hand, and population genetics fitness on the other. The goal of this paper is to give an explication of the concept of ecological fitness by providing a reconstruction of the theory of natural selection in which this concept was framed, that is, based on the (...)
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  • Peirce snatching: Towards a more pragmatic view of evidence. [REVIEW]Steven Gimbel - 1999 - Erkenntnis 51 (2-3):207-231.
    The running debate between Peter Achinstein and his critics concerning the nature of scientific evidence is misguided as each side attempts to explicate a distinct notion of evidence. Achinstein's approach, however, is valuable in helping to point out a problem with Carnap's statistical relevance model. By claiming an increase in probability to be necessary for evidence, the received view is incapable of accounting for evidence which is statistically irrelevant but explanatorily relevant. A broader view of evidence which can account for (...)
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  • The Turing—Good Weight of Evidence Function and Popper's Measure of the Severity of a Test.Donald Gillies - 1990 - British Journal for the Philosophy of Science 41 (1):143-146.
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  • Popper's Contribution to the Philosophy of Probability.Donald Gillies - 1995 - Royal Institute of Philosophy Supplement 39:103-120.
    Popper's writings cover a remarkably wide range of subjects. The spectrum runs from Plato's theory of politics to the foundations of quantum mechanics. Yet even amidst this variety the philosophy of probability occupies a prominent place. David Miller once pointed out to me that more than half of Popper's The Logic of Scientific Discovery is taken up with discussions of probability. I checked this claim using the 1972 6th revised impression of The Logic of Scientific Discovery , and found that (...)
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  • Karl Menger as a philosopher. [REVIEW]Donald Gillies - 1981 - British Journal for the Philosophy of Science 32 (2):183-196.
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  • Propensity and necessity.Ronald N. Giere - 1979 - Synthese 40 (3):439 - 451.
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  • A laplacean formal semantics for single-case propensities.Ronald N. Giere - 1976 - Journal of Philosophical Logic 5 (3):321 - 353.
    Even those generally skeptical of propensity interpretations of probability must now grant the following two points. First, the above single-case propensity interpretation meets recognized formal conditions for being a genuine interpretation of probability. Second, this interpretation is not logically reducible to a hypothetical relative frequency interpretation, nor is it only vacuously different from such an interpretation.The main objection to this propensity interpretation must be not that it is too vague or vacuous, but that it is metaphysically too extravagant. It asserts (...)
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  • Cogency and the Validation of Induction.G. C. Goddu - 2004 - Argumentation 18 (1):25-41.
    I.T. Oakley claims that the cogency of invalid, but cogent, arguments is context independent. Robert Pargetter and John Bigelow claim that the apparent cogency of any cogent, but invalid, argument is to be explained by the existence of a corresponding valid argument. I argue that both claims are incorrect and provide my own account of the cogency of arguments.
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  • How Successful is Naturalism?Georg Gasser (ed.) - 2007 - Frankfurt: Ontos Verlag.
    The aim of the present volume is to draw the balance of naturalism's success so far.
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  • Predicting novel facts.Michael R. Gardner - 1982 - British Journal for the Philosophy of Science 33 (1):1-15.
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  • Harold Jeffreys' probabilistic epistemology: Between logicism and subjectivism.Maria Carla Galavotti - 2003 - British Journal for the Philosophy of Science 54 (1):43-57.
    Harold Jeffreys' ideas on the interpretation of probability and epistemology are reviewed. It is argued that with regard to the interpretation of probability, Jeffreys embraces a version of logicism that shares some features of the subjectivism of Ramsey and de Finetti. Jeffreys also developed a probabilistic epistemology, characterized by a pragmatical and constructivist attitude towards notions such as ‘objectivity’, ‘reality’ and ‘causality’. 1 Introductory remarks 2 The interpretation of probability 3 Jeffreys' probabilistic epistemology.
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  • Anti-realism in the philosophy of probability: Bruno de finetti's subjectivism. [REVIEW]Maria Carla Galavotti - 1989 - Erkenntnis 31 (2-3):239--261.
    Known as an upholder of subjectivism, Bruno de finetti (1906-1985) put forward a totally original philosophy of probability. This can be qualified as a combination of empiricism and pragmatism within an entirely coherent antirealistic perspective. The paper aims at clarifying the central features of such a philosophical position, Which is not only incompatible with any perspective based on an objective notion, But cannot be assimilated to other subjective views of probability either.
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  • Human Rationality Challenges Universal Logic.Brian R. Gaines - 2010 - Logica Universalis 4 (2):163-205.
    Tarski’s conceptual analysis of the notion of logical consequence is one of the pinnacles of the process of defining the metamathematical foundations of mathematics in the tradition of his predecessors Euclid, Frege, Russell and Hilbert, and his contemporaries Carnap, Gödel, Gentzen and Turing. However, he also notes that in defining the concept of consequence “efforts were made to adhere to the common usage of the language of every day life.” This paper addresses the issue of what relationship Tarski’s analysis, and (...)
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  • Designing visual languages for description logics.Brian R. Gaines - 2009 - Journal of Logic, Language and Information 18 (2):217-250.
    Semantic networks were developed in cognitive science and artificial intelligence studies as graphical knowledge representation and inference tools emulating human thought processes. Formal analysis of the representation and inference capabilities of the networks modeled them as subsets of standard first-order logic (FOL), restricted in the operations allowed in order to ensure the tractability that seemed to characterize human reasoning capabilities. The graphical network representations were modeled as providing a visual language for the logic. Sub-sets of FOL targeted on knowledge representation (...)
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  • Coherence: Beyond constraint satisfaction.Gareth Gabrys & Alan Lesgold - 1989 - Behavioral and Brain Sciences 12 (3):475-475.
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  • Moral autonomy and the rationality of science.James C. Gaa - 1977 - Philosophy of Science 44 (4):513-541.
    The few extant arguments concerning the autonomy of science in the rational acceptance of hypotheses are examined. It is concluded that science is not morally autonomous, and that the attendant notion of rationality in science decisionmaking is inadequate. A more comprehensive notion of scientific rationality, which encompasses the old one, is proposed as a replacement. The general idea is that scientists qua scientist ought, in their acceptance decisions, to take into account the ethical consequences of acceptance as well as the (...)
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  • The replacement of scientific theories: Reduction and explication.James Gaa - 1975 - Philosophy of Science 42 (4):349-372.
    An examination of earlier views yields an account of theoretic change on which changes in theory which do involve changes in meanings of terms are classified as a special (and by no means exhaustive) case of theoretic change which, latter, is construed as a more general phenomenon. Only the general problem is given detailed consideration here. The account given considers the problem of how replacement of intensional theories by extensional ones may be treated within the general framework provided. Among its (...)
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  • Scientific Inference and Ordinary Cognition: Fodor on Holism and Cognitive Architecture.Tim Fuller & Richard Samuels - 2014 - Mind and Language 29 (2):201-237.
    Do accounts of scientific theory formation and revision have implications for theories of everyday cognition? We maintain that failing to distinguish between importantly different types of theories of scientific inference has led to fundamental misunderstandings of the relationship between science and everyday cognition. In this article, we focus on one influential manifestation of this phenomenon which is found in Fodor's well-known critique of theories of cognitive architecture. We argue that in developing his critique, Fodor confounds a variety of distinct claims (...)
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  • Confirmation and Meaning Holism Revisited.Timothy Fuller - 2020 - Erkenntnis 85 (6):1379-1397.
    Does confirmation holism imply meaning holism? A plausible and novel argument, all of whose premises enjoy significant support among contemporary philosophers, links the two theses. This article presents this argument and diagnoses it with a weakness. The weakness illustrates a general difficulty with drawing morals for the nature of ordinary thought and language from claims about the nature of science. The diagnosis is instructive: It suggests more fruitful relations between theories of scientific theory confirmation and semantic theories of our everyday (...)
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  • Meaning and Aesthetic Judgment in Kant.Eli Friedlander - 2006 - Philosophical Topics 34 (1-2):21-34.
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  • The universal density of measurement.Danny Fox & Martin Hackl - 2006 - Linguistics and Philosophy 29 (5):537 - 586.
    The notion of measurement plays a central role in human cognition. We measure people’s height, the weight of physical objects, the length of stretches of time, or the size of various collections of individuals. Measurements of height, weight, and the like are commonly thought of as mappings between objects and dense scales, while measurements of collections of individuals, as implemented for instance in counting, are assumed to involve discrete scales. It is also commonly assumed that natural language makes use of (...)
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  • Attitudinal strength as distance to withholding.Andrew T. Forcehimes - 2020 - Philosophical Studies 178 (3):963-981.
    How should we understand the relationship between binary belief and degree of belief? To answer this question, we should look to desire. Whatever relationship we think holds between desire and degree of desire should be used as our model for the relationship we think holds between belief and degree of belief. This parity pushes us towards an account that treats the binary attitudes as primary. But if we take binary beliefs as primary, we seem to face a serious problem. Binary (...)
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  • Three characterizations of strict coherence on infinite-valued events.Tommaso Flaminio - 2020 - Review of Symbolic Logic 13 (3):593-610.
    This article builds on a recent paper coauthored by the present author, H. Hosni and F. Montagna. It is meant to contribute to the logical foundations of probability theory on many-valued events and, specifically, to a deeper understanding of the notion of strict coherence. In particular, we will make use of geometrical, measure-theoretical and logical methods to provide three characterizations of strict coherence on formulas of infinite-valued Łukasiewicz logic.
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  • The plurality of bayesian measures of confirmation and the problem of measure sensitivity.Branden Fitelson - 1999 - Philosophy of Science 66 (3):378.
    Contemporary Bayesian confirmation theorists measure degree of (incremental) confirmation using a variety of non-equivalent relevance measures. As a result, a great many of the arguments surrounding quantitative Bayesian confirmation theory are implicitly sensitive to choice of measure of confirmation. Such arguments are enthymematic, since they tacitly presuppose that certain relevance measures should be used (for various purposes) rather than other relevance measures that have been proposed and defended in the philosophical literature. I present a survey of this pervasive class of (...)
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  • The 'requirement of total evidence' and its role in phylogenetic systematics.Kirk Fitzhugh - 2006 - Biology and Philosophy 21 (3):309-351.
    The question of whether or not to partition data for the purposes of inferring phylogenetic hypotheses remains controversial. Opinions have been especially divided since Kluge's (1989, Systematic Zoology 38, 7–25) claim that data partitioning violates the requirement of total evidence (RTE). Unfortunately, advocacy for or against the RTE has not been based on accurate portrayals of the requirement. The RTE is a basic maxim for non-deductive inference, stipulating that evidence must be considered if it has relevance to an inference. Evidence (...)
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  • Sequence Data, Phylogenetic Inference, and Implications of Downward Causation.Kirk Fitzhugh - 2016 - Acta Biotheoretica 64 (2):133-160.
    Framing systematics as a field consistent with scientific inquiry entails that inferences of phylogenetic hypotheses have the goal of producing accounts of past causal events that explain differentially shared characters among organisms. Linking observations of characters to inferences occurs by way of why-questions implied by data matrices. Because of their form, why-questions require the use of common-cause theories. Such theories in phylogenetic inferences include natural selection and genetic drift. Selection or drift can explain ‘morphological’ characters but selection cannot be causally (...)
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  • Pollock on probability in epistemology. [REVIEW]Branden Fitelson - 2010 - Philosophical Studies 148 (3):455 - 465.
    In Thinking and Acting John Pollock offers some criticisms of Bayesian epistemology, and he defends an alternative understanding of the role of probability in epistemology. Here, I defend the Bayesian against some of Pollock's criticisms, and I discuss a potential problem for Pollock's alternative account.
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  • Likelihoodism, Bayesianism, and relational confirmation.Branden Fitelson - 2007 - Synthese 156 (3):473-489.
    Likelihoodists and Bayesians seem to have a fundamental disagreement about the proper probabilistic explication of relational (or contrastive) conceptions of evidential support (or confirmation). In this paper, I will survey some recent arguments and results in this area, with an eye toward pinpointing the nexus of the dispute. This will lead, first, to an important shift in the way the debate has been couched, and, second, to an alternative explication of relational support, which is in some sense a "middle way" (...)
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  • Declarations of independence.Branden Fitelson & Alan Hájek - 2017 - Synthese 194 (10):3979-3995.
    According to orthodox (Kolmogorovian) probability theory, conditional probabilities are by definition certain ratios of unconditional probabilities. As a result, orthodox conditional probabilities are undefined whenever their antecedents have zero unconditional probability. This has important ramifications for the notion of probabilistic independence. Traditionally, independence is defined in terms of unconditional probabilities (the factorization of the relevant joint unconditional probabilities). Various “equivalent” formulations of independence can be given using conditional probabilities. But these “equivalences” break down if conditional probabilities are permitted to have (...)
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  • Bayesian confirmation and auxiliary hypotheses revisited: A reply to Strevens.Branden Fitelson & Andrew Waterman - 2005 - British Journal for the Philosophy of Science 56 (2):293-302.
    has proposed an interesting and novel Bayesian analysis of the Quine-Duhem (Q–D) problem (i.e., the problem of auxiliary hypotheses). Strevens's analysis involves the use of a simplifying idealization concerning the original Q–D problem. We will show that this idealization is far stronger than it might appear. Indeed, we argue that Strevens's idealization oversimplifies the Q–D problem, and we propose a diagnosis of the source(s) of the oversimplification. Some background on Quine–Duhem Strevens's simplifying idealization Indications that (I) oversimplifies Q–D Strevens's argument (...)
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  • A bayesian account of independent evidence with applications.Branden Fitelson - 2001 - Proceedings of the Philosophy of Science Association 2001 (3):S123-.
    outlined. This account is partly inspired by the work of C.S. Peirce. When we want to consider how degree of confirmation varies with changing I show that a large class of quantitative Bayesian measures of con-.
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  • A Bayesian Account of Independent Evidence with Applications.Branden Fitelson - 2001 - Philosophy of Science 68 (S3):S123-S140.
    A Bayesian account of independent evidential support is outlined. This account is partly inspired by the work of C. S. Peirce. I show that a large class of quantitative Bayesian measures of confirmation satisfy some basic desiderata suggested by Peirce for adequate accounts of independent evidence. I argue that, by considering further natural constraints on a probabilistic account of independent evidence, all but a very small class of Bayesian measures of confirmation can be ruled out. In closing, another application of (...)
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  • Are there necessary connections in nature?Milton Fisk - 1970 - Philosophy of Science 37 (3):385-404.
    The following questions are discussed here. Is induction a reasonable procedure in the context of a denial of physically necessary connections? What is physical necessity? If induction does presuppose physical necessity, what amount of it is presupposed? It is argued that with logic as the only restriction on what is to count as a possible world, it is unreasonable to claim that observed connections, whether universal or statistical, will continue to hold. The concept of physical necessity is no more problematic (...)
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  • A challenge to the new metaphysics: deRosset, Priority, and explanation.David Fisher, Hao Hong & Timothy Perrine - 2021 - Synthese 198 (7):6403-6433.
    Priority Theory is an increasingly popular view in metaphysics. By seeing metaphysical questions as primarily concerned with what explains what, instead of merely what exists, it promises not only an interesting approach to traditional metaphysical issues but also the resolution of some outstanding disputes. In a recent paper, Louis deRosset argues that Priority Theory isn’t up to the task: Priority Theory is committed to there being explanations that violate a formal constraint on any adequate explanation. This paper critically examines deRosset’s (...)
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  • Dialectics, Evaluation, and Argument.Maurice A. Finocchiaro - 2003 - Informal Logic 23 (1).
    A critical examination of the dialectical approach, focusing on a comparison ofthe illative and the dialectical definitions of argument. I distinguish a moderate, a strong and a hyper dialectical conception of argument. I critique Goldman's argument for the moderate conception and Johnson's argument for the strong conception, and argue that the moderate conception is correct.
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  • Logic, literacy, and professor Gellner.Paul Feyerabend - 1976 - British Journal for the Philosophy of Science 27 (4):381-391.
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  • What is Causal Specificity About, and What is it Good for in Philosophy of Biology?María Ferreira Ruiz - 2021 - Acta Biotheoretica 69 (4):821-839.
    The concept of causal specificity is drawing considerable attention from philosophers of biology. It became the rationale for rejecting (and occasionally, accepting) a thesis of causal parity of developmental factors. This literature assumes that attributing specificity to causal relations is at least in principle a straightforward (if not systematic) task. However, the parity debate in philosophy of biology seems to be stuck at a point where it is not the biological details that will help move forward. In this paper, I (...)
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  • Carnap and Lewis on the External World.Ivan Ferreira da Cunha - 2014 - Principia: An International Journal of Epistemology 18 (2):243.
    This paper compares the claims about our knowledge of the external world presented by Rudolf Carnap, in the book known as the Aufbau, to those of Clarence Irving Lewis, in Mind and the World-Order. This comparison is made in terms of the opposition to Kantian epistemology that both books establish; the Aufbau is regarded as the peak of the logicist tradition and Mind and the World-Order is taken in continuity with pragmatism. It is found that both books present knowledge of (...)
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  • What's in a link?Jerome A. Feldman - 1989 - Behavioral and Brain Sciences 12 (3):474-475.
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  • Confirmation based on analogical inference: Bayes meets Jeffrey.Christian J. Feldbacher-Escamilla & Alexander Gebharter - 2020 - Canadian Journal of Philosophy 50 (2):174-194.
    Certain hypotheses cannot be directly confirmed for theoretical, practical, or moral reasons. For some of these hypotheses, however, there might be a workaround: confirmation based on analogical reasoning. In this paper we take up Dardashti, Hartmann, Thébault, and Winsberg’s (in press) idea of analyzing confirmation based on analogical inference Baysian style. We identify three types of confirmation by analogy and show that Dardashti et al.’s approach can cover two of them. We then highlight possible problems with their model as a (...)
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  • Cultural Inheritance in Generalized Darwinism.Christian J. Feldbacher-Escamilla & Karim Baraghith - 2020 - Philosophy of Science 87 (2):237-261.
    Generalized Darwinism models cultural development as an evolutionary process, where traits evolve through variation, selection, and inheritance. Inheritance describes either a discrete unit’s transmission or a mixing of traits. In this article, we compare classical models of cultural evolution and generalized population dynamics with respect to blending inheritance. We identify problems of these models and introduce our model, which combines relevant features of both. Blending is implemented as success-based social learning, which can be shown to be an optimal strategy.
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  • Scientific method without metaphysical presuppositions.Herbert Feigl - 1954 - Philosophical Studies 5 (2):17 - 29.
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  • Psychological objectives for logical theories.J. St B. T. Evans - 1983 - Behavioral and Brain Sciences 6 (2):250-250.
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  • The Support Interval.Alexander Etz, Fabian Dablander, Quentin F. Gronau & Eric-Jan Wagenmakers - 2020 - Erkenntnis 87 (2):589-601.
    A frequentist confidence interval can be constructed by inverting a hypothesis test, such that the interval contains only parameter values that would not have been rejected by the test. We show how a similar definition can be employed to construct a Bayesian support interval. Consistent with Carnap’s theory of corroboration, the support interval contains only parameter values that receive at least some minimum amount of support from the data. The support interval is not subject to Lindley’s paradox and provides an (...)
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  • Some decision factors in scientific investigation.David S. Emmerich & James G. Greeno - 1966 - Philosophy of Science 33 (3):262-270.
    An empirical law or evidence which supports a theory tends to have the greatest scientific value when it seemed improbable before it was investigated. Evidence which falsifies a theory tends to have the greatest value when it seemed probable that the investigation would confirm the theory. A scientist who wishes to optimize his contribution to knowledge probably will investigate most frequently hypotheses which seem neither very probable nor very improbable of being confirmed. This strategy leads neither to a maximum number (...)
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  • Giving up Certainties.Henry E. Kyburg - 1990 - PSA Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990 (2):333-347.
    People have worried for many years — centuries — about how you perform large changes in your body of beliefs. How does the new evidence lead you to replace a geocentric system of planetary motion by a heliocentric system? How do we decide to abandon the principle of the conservation of mass?The general approach that we will try to defend here is that an assumption, presupposition, framework principle, will be rejected or altered when a large enough number of improbabilities must (...)
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  • Symmetries and asymmetries in evidential support.Ellery Eells & Branden Fitelson - 2002 - Philosophical Studies 107 (2):129 - 142.
    Several forms of symmetry in degrees of evidential support areconsidered. Some of these symmetries are shown not to hold in general. This has implications for the adequacy of many measures of degree ofevidential support that have been proposed and defended in the philosophical literature.
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