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  1. Bayesian Philosophy of Science.Jan Sprenger & Stephan Hartmann - 2019 - Oxford and New York: Oxford University Press.
    How should we reason in science? Jan Sprenger and Stephan Hartmann offer a refreshing take on classical topics in philosophy of science, using a single key concept to explain and to elucidate manifold aspects of scientific reasoning. They present good arguments and good inferences as being characterized by their effect on our rational degrees of belief. Refuting the view that there is no place for subjective attitudes in 'objective science', Sprenger and Hartmann explain the value of convincing evidence in terms (...)
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  • What Else Justification Could Be1.Martin Smith - 2010 - Noûs 44 (1):10-31.
    According to a captivating picture, epistemic justification is essentially a matter of epistemic or evidential likelihood. While certain problems for this view are well known, it is motivated by a very natural thought—if justification can fall short of epistemic certainty, then what else could it possibly be? In this paper I shall develop an alternative way of thinking about epistemic justification. On this conception, the difference between justification and likelihood turns out to be akin to the more widely recognised difference (...)
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  • Epistemic Probabilities are Degrees of Support, not Degrees of (Rational) Belief.Nevin Climenhaga - 2024 - Philosophy and Phenomenological Research 108 (1):153-176.
    I argue that when we use ‘probability’ language in epistemic contexts—e.g., when we ask how probable some hypothesis is, given the evidence available to us—we are talking about degrees of support, rather than degrees of belief. The epistemic probability of A given B is the mind-independent degree to which B supports A, not the degree to which someone with B as their evidence believes A, or the degree to which someone would or should believe A if they had B as (...)
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  • The Ideals Program in Algorithmic Fairness.Rush T. Stewart - forthcoming - AI and Society:1-11.
    I consider statistical criteria of algorithmic fairness from the perspective of the _ideals_ of fairness to which these criteria are committed. I distinguish and describe three theoretical roles such ideals might play. The usefulness of this program is illustrated by taking Base Rate Tracking and its ratio variant as a case study. I identify and compare the ideals of these two criteria, then consider them in each of the aforementioned three roles for ideals. This ideals program may present a way (...)
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  • (1 other version)Inference to the Best explanation.Peter Lipton - 2005 - In Martin Curd & Stathis Psillos, The Routledge Companion to Philosophy of Science. New York: Routledge. pp. 193.
    Science depends on judgments of the bearing of evidence on theory. Scientists must judge whether an observation or the result of an experiment supports, disconfirms, or is simply irrelevant to a given hypothesis. Similarly, scientists may judge that, given all the available evidence, a hypothesis ought to be accepted as correct or nearly so, rejected as false, or neither. Occasionally, these evidential judgments can be made on deductive grounds. If an experimental result strictly contradicts a hypothesis, then the truth of (...)
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  • A Cumulative Case Argument for Infallibilism.Nevin Climenhaga - 2021 - In Christos Kyriacou & Kevin Wallbridge, Skeptical Invariantism Reconsidered. New York, NY: Routledge.
    I present a cumulative case for the thesis that we only know propositions that are certain for us. I argue that this thesis can easily explain the truth of eight plausible claims about knowledge: -/- (1) There is a qualitative difference between knowledge and non-knowledge. (2) Knowledge is valuable in a way that non-knowledge is not. (3) Subjects in Gettier cases do not have knowledge. (4) If S knows that P, P is part of S’s evidence. (5) If S knows (...)
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  • Ur-Priors, Conditionalization, and Ur-Prior Conditionalization.Christopher J. G. Meacham - 2016 - Ergo: An Open Access Journal of Philosophy 3.
    Conditionalization is a widely endorsed rule for updating one’s beliefs. But a sea of complaints have been raised about it, including worries regarding how the rule handles error correction, changing desiderata of theory choice, evidence loss, self-locating beliefs, learning about new theories, and confirmation. In light of such worries, a number of authors have suggested replacing Conditionalization with a different rule — one that appeals to what I’ll call “ur-priors”. But different authors have understood the rule in different ways, and (...)
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  • Measuring coherence.Igor Douven & Wouter Meijs - 2007 - Synthese 156 (3):405 - 425.
    This paper aims to contribute to our understanding of the notion of coherence by explicating in probabilistic terms, step by step, what seem to be our most basic intuitions about that notion, to wit, that coherence is a matter of hanging or fitting together, and that coherence is a matter of degree. A qualitative theory of coherence will serve as a stepping stone to formulate a set of quantitative measures of coherence, each of which seems to capture well the aforementioned (...)
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  • (1 other version)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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  • Climate Models, Calibration, and Confirmation.Katie Steele & Charlotte Werndl - 2013 - British Journal for the Philosophy of Science 64 (3):609-635.
    We argue that concerns about double-counting—using the same evidence both to calibrate or tune climate models and also to confirm or verify that the models are adequate—deserve more careful scrutiny in climate modelling circles. It is widely held that double-counting is bad and that separate data must be used for calibration and confirmation. We show that this is far from obviously true, and that climate scientists may be confusing their targets. Our analysis turns on a Bayesian/relative-likelihood approach to incremental confirmation. (...)
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  • (1 other version)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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  • (1 other version)A bayesian account of independent evidence with applications.Branden Fitelson - 2000 - 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 Novel Solution to the Problem of Old Evidence.Jan Sprenger - 2015 - Philosophy of Science 82 (3):383-401.
    One of the most troubling and persistent challenges for Bayesian Confirmation Theory is the Problem of Old Evidence. The problem arises for anyone who models scientific reasoning by means of Bayesian Conditionalization. This article addresses the problem as follows: First, I clarify the nature and varieties of the POE and analyze various solution proposals in the literature. Second, I present a novel solution that combines previous attempts while making weaker and more plausible assumptions. Third and last, I summarize my findings (...)
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  • New Axioms for Probability and Likelihood Ratio Measures.Vincenzo Crupi, Nick Chater & Katya Tentori - 2013 - British Journal for the Philosophy of Science 64 (1):189-204.
    Probability ratio and likelihood ratio measures of inductive support and related notions have appeared as theoretical tools for probabilistic approaches in the philosophy of science, the psychology of reasoning, and artificial intelligence. In an effort of conceptual clarification, several authors have pursued axiomatic foundations for these two families of measures. Such results have been criticized, however, as relying on unduly demanding or poorly motivated mathematical assumptions. We provide two novel theorems showing that probability ratio and likelihood ratio measures can be (...)
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  • Confirmation as partial entailment: A representation theorem in inductive logic.Vincenzo Crupi & Katya Tentori - 2013 - Journal of Applied Logic 11 (4):364-372.
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  • “Adding Up” Reasons: Lessons for Reductive and Nonreductive Approaches.Shyam Nair - 2021 - Ethics 132 (1):38-88.
    How do multiple reasons combine to support a conclusion about what to do or believe? This question raises two challenges: How can we represent the strength of a reason? How do the strengths of multiple reasons combine? Analogous challenges about confirmation have been answered using probabilistic tools. Can reductive and nonreductive theories of reasons use these tools to answer their challenges? Yes, or more exactly: reductive theories can answer both challenges. Nonreductive theories, with the help of a result in confirmation (...)
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  • On coherent sets and the transmission of confirmation.Franz Dietrich & Luca Moretti - 2005 - Philosophy of Science 72 (3):403-424.
    In this paper, we identify a new and mathematically well-defined sense in which the coherence of a set of hypotheses can be truth-conducive. Our focus is not, as usual, on the probability but on the confirmation of a coherent set and its members. We show that, if evidence confirms a hypothesis, confirmation is “transmitted” to any hypotheses that are sufficiently coherent with the former hypothesis, according to some appropriate probabilistic coherence measure such as Olsson’s or Fitelson’s measure. Our findings have (...)
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  • Hempel's Raven paradox: A lacuna in the standard bayesian solution.Peter B. M. Vranas - 2004 - British Journal for the Philosophy of Science 55 (3):545-560.
    According to Hempel's paradox, evidence (E) that an object is a nonblack nonraven confirms the hypothesis (H) that every raven is black. According to the standard Bayesian solution, E does confirm H but only to a minute degree. This solution relies on the almost never explicitly defended assumption that the probability of H should not be affected by evidence that an object is nonblack. I argue that this assumption is implausible, and I propose a way out for Bayesians. Introduction Hempel's (...)
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  • How Bayesian Confirmation Theory Handles the Paradox of the Ravens.Branden Fitelson & James Hawthorne - 2010 - In Ellery Eells & James H. Fetzer, The Place of Probability in Science: In Honor of Ellery Eells (1953-2006). Springer. pp. 247--275.
    The Paradox of the Ravens (a.k.a,, The Paradox of Confirmation) is indeed an old chestnut. A great many things have been written and said about this paradox and its implications for the logic of evidential support. The first part of this paper will provide a brief survey of the early history of the paradox. This will include the original formulation of the paradox and the early responses of Hempel, Goodman, and Quine. The second part of the paper will describe attempts (...)
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  • Putting the irrelevance back into the problem of irrelevant conjunction.Branden Fitelson - 2002 - Philosophy of Science 69 (4):611-622.
    Naive deductive accounts of confirmation have the undesirable consequence that if E confirms H, then E also confirms the conjunction H & X, for any X—even if X is utterly irrelevant to H (and E). Bayesian accounts of confirmation also have this property (in the case of deductive evidence). Several Bayesians have attempted to soften the impact of this fact by arguing that—according to Bayesian accounts of confirmation— E will confirm the conjunction H & X less strongly than E confirms (...)
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  • Bayes' theorem.James Joyce - 2008 - Stanford Encyclopedia of Philosophy.
    Bayes' Theorem is a simple mathematical formula used for calculating conditional probabilities. It figures prominently in subjectivist or Bayesian approaches to epistemology, statistics, and inductive logic. Subjectivists, who maintain that rational belief is governed by the laws of probability, lean heavily on conditional probabilities in their theories of evidence and their models of empirical learning. Bayes' Theorem is central to these enterprises both because it simplifies the calculation of conditional probabilities and because it clarifies significant features of subjectivist position. Indeed, (...)
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  • Further results on the intransitivity of evidential support.Igor Douven - 2011 - Review of Symbolic Logic 4 (4):487-497.
    It is known that evidential support, on the Bayesian definition of this notion, is intransitive. According to some, however, the Bayesian definition is too weak to be materially adequate. This paper investigates whether evidential support is transitive on some plausible probabilistic strengthening of that definition. It is shown that the answer is negative. In fact, it will appear that even under conditions under which the Bayesian notion of evidential support is transitive, the most plausible candidate strengthenings are not.
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  • Fragmentation and Old Evidence.Will Fleisher - 2023 - Episteme 20 (3):542-567.
    Bayesian confirmation theory is our best formal framework for describing inductive reasoning. The problem of old evidence is a particularly difficult one for confirmation theory, because it suggests that this framework fails to account for central and important cases of inductive reasoning and scientific inference. I show that we can appeal to the fragmentation of doxastic states to solve this problem for confirmation theory. This fragmentation solution is independently well-motivated because of the success of fragmentation in solving other problems. I (...)
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  • The paradox of confirmation.Branden Fitelson - 2006 - Philosophy Compass 1 (1):95–113.
    Hempel first introduced the paradox of confirmation in (Hempel 1937). Since then, a very extensive literature on the paradox has evolved (Vranas 2004). Much of this literature can be seen as responding to Hempel’s subsequent discussions and analyses of the paradox in (Hempel 1945). Recently, it was noted that Hempel’s intuitive (and plausible) resolution of the paradox was inconsistent with his official theory of confirmation (Fitelson & Hawthorne 2006). In this article, we will try to explain how this inconsistency affects (...)
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  • Contemporary Epistemic Logic and the Lockean Thesis.Lorenz Demey - 2013 - Foundations of Science 18 (4):599-610.
    This paper studies the Lockean thesis from the perspective of contemporary epistemic logic. The Lockean thesis states that belief can be defined as ‘sufficiently high degree of belief’. Its main problem is that it gives rise to a notion of belief which is not closed under conjunction. This problem is typical for classical epistemic logic: it is single-agent and static. I argue that from the perspective of contemporary epistemic logic, the Lockean thesis fares much better. I briefly mention that it (...)
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  • Should I pretend I'm perfect?Julia Staffel - 2017 - Res Philosophica 94 (2):301-324.
    Ideal agents are role models whose perfection in some normative domain we try to approximate. But which form should this striving take? It is well known that following ideal rules of practical reasoning can have disastrous results for non-ideal agents. Yet, this issue has not been explored with respect to rules of theoretical reasoning. I show how we can extend Bayesian models of ideally rational agents in order to pose and answer the question of whether non-ideal agents should form new (...)
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  • Evidential Support, Transitivity, and Screening-Off.William Roche - 2015 - Review of Symbolic Logic 8 (4):785-806.
    Is evidential support transitive? The answer is negative when evidential support is understood as confirmation so that X evidentially supports Y if and only if p(Y | X) > p(Y). I call evidential support so understood “support” (for short) and set out three alternative ways of understanding evidential support: support-t (support plus a sufficiently high probability), support-t* (support plus a substantial degree of support), and support-tt* (support plus both a sufficiently high probability and a substantial degree of support). I also (...)
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  • Bootstrap Confirmation Made Quantitative.Igor Douven & Wouter Meijs - 2006 - Synthese 149 (1):97-132.
    Glymour’s theory of bootstrap confirmation is a purely qualitative account of confirmation; it allows us to say that the evidence confirms a given theory, but not that it confirms the theory to a certain degree. The present paper extends Glymour’s theory to a quantitative account and investigates the resulting theory in some detail. It also considers the question how bootstrap confirmation relates to justification.
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  • Information Versus Knowledge in Confirmation Theory.Darrell Patrick Rowbottom - 2012 - Logique Et Analyse 226:137-149.
    I argue that so-called 'background knowledge' in confirmation theory has little, if anything, to do with 'knowledge' in the sense of mainstream epistemology. I argue that it is better construed as 'background information', which need not be believed in, justified, or true.
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  • Approaching the truth via belief change in propositional languages.Gustavo Cevolani & Francesco Calandra - 2009 - In M. Suàrez, M. Dorato & M. Rèdei, EPSA Epistemology and Methodology of Science: Launch of the European Philosophy of Science Association. Springer. pp. 47--62.
    Starting from the sixties of the past century theory change has become a main concern of philosophy of science. Two of the best known formal accounts of theory change are the post-Popperian theories of verisimilitude (PPV for short) and the AGM theory of belief change (AGM for short). In this paper, we will investigate the conceptual relations between PPV and AGM and, in particular, we will ask whether the AGM rules for theory change are effective means for approaching the truth, (...)
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  • Epistemic Accuracy and Subjective Probability.Marcello D'Agostino & Corrado Sinigaglia - 2010 - In M. Dorato M. Suàrez, Epsa Epistemology and Methodology of Science. Springer. pp. 95--105.
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  • Rigorous results, cross-model justification, and the transfer of empirical warrant: the case of many-body models in physics.Axel Gelfert - 2009 - Synthese 169 (3):497-519.
    This paper argues that a successful philosophical analysis of models and simulations must accommodate an account of mathematically rigorous results. Such rigorous results may be thought of as genuinely model-specific contributions, which can neither be deduced from fundamental theory nor inferred from empirical data. Rigorous results provide new indirect ways of assessing the success of models and simulations and are crucial to understanding the connections between different models. This is most obvious in cases where rigorous results map different models on (...)
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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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  • Epistemic Replacement Relativism Defended.Martin Kusch - 2010 - In M. Dorato M. Suàrez, Epsa Epistemology and Methodology of Science. Springer. pp. 165--175.
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  • Bayesian representation of a prolonged archaeological debate.Efraim Wallach - 2018 - Synthese 195 (1):401-431.
    This article examines the effect of material evidence upon historiographic hypotheses. Through a series of successive Bayesian conditionalizations, I analyze the extended competition among several hypotheses that offered different accounts of the transition between the Bronze Age and the Iron Age in Palestine and in particular to the “emergence of Israel”. The model reconstructs, with low sensitivity to initial assumptions, the actual outcomes including a complete alteration of the scientific consensus. Several known issues of Bayesian confirmation, including the problem of (...)
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  • Toward a Grammar of Bayesian Confirmation.Vincenzo Crupi, Roberto Festa & Carlo Buttasi - 2009 - In M. Suàrez, M. Dorato & M. Rèdei, EPSA Epistemology and Methodology of Science: Launch of the European Philosophy of Science Association. Springer. pp. 73--93.
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  • Conditionalization.Lisa Cassell - forthcoming - In Matthias Steup Kurt Sylvan, Blackwell Companion to Epistemology, Third Edition. Wiley-Blackwell.
    Bayesian epistemology’s most fundamental diachronic constraint is the norm of Conditionalization. This entry begins by describing the structure of Conditionalization and its generalization, Jeffrey Conditionalization. It goes on to discuss rational constraints on Conditionalization and justifications for Conditionalization. It concludes by considering how Conditionalization handles cases involving memory loss, old evidence, and context-sensitivity.
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  • Why Should Philosophers of Science Pay Attention to the Commercialization of Academic Science?Gürol Irzik - 2010 - In M. Dorato M. Suàrez, Epsa Epistemology and Methodology of Science. Springer. pp. 129--138.
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  • A problem for the alternative difference measure of confirmation.Nevin Climenhaga - 2013 - Philosophical Studies 164 (3):643-651.
    Among Bayesian confirmation theorists, several quantitative measures of the degree to which an evidential proposition E confirms a hypothesis H have been proposed. According to one popular recent measure, s, the degree to which E confirms H is a function of the equation P(H|E) − P(H|~E). A consequence of s is that when we have two evidential propositions, E1 and E2, such that P(H|E1) = P(H|E2), and P(H|~E1) ≠ P(H|~E2), the confirmation afforded to H by E1 does not equal the (...)
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  • Knowledge Closure and Knowledge Openness: A Study of Epistemic Closure Principles.Levi Spectre - 2009 - Stockholm: Stockholm University.
    The principle of epistemic closure is the claim that what is known to follow from knowledge is known to be true. This intuitively plausible idea is endorsed by a vast majority of knowledge theorists. There are significant problems, however, that have to be addressed if epistemic closure – closed knowledge – is endorsed. The present essay locates the problem for closed knowledge in the separation it imposes between knowledge and evidence. Although it might appear that all that stands between knowing (...)
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  • Theory change, truthlikeness, and belief revision.Ilkka Niiniluoto - 2010 - In M. Dorato M. Suàrez, Epsa Epistemology and Methodology of Science. Springer. pp. 189--199.
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  • Models and truth.Uskali Mäki - 2010 - In M. Dorato M. Suàrez, Epsa Epistemology and Methodology of Science. Springer. pp. 177--187.
    In what follows, I will give examples of the sorts of step that can be taken towards spelling out the intuition that, after all, good models might be true. Along the way, I provide an outline of my account of models as ontologically and pragmatically constrained representations. And I emphasize the importance of examining models as functionally composed systems in which different components play different roles and only some components serve as relevant truth bearers. This disputes the standard approach that (...)
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  • Theories for use: On the bearing of basic science on practical problems.Martin Carrier - 2010 - In M. Dorato M. Suàrez, Epsa Epistemology and Methodology of Science. Springer. pp. 23--33.
    Funding policies for science are usually directed at supporting technological innovations. The im-pact and success of such policies depend crucially on how science and technology are connected to each other. I propose an “interactive view” of the relationship between basic science and technol-ogy development which comprises the following four claims: First, technological change derives from science but only in part. The local models used in accounting for technologically relevant phenomena contain theoretical and non-theoretical elements alike. Second, existing technologies and rules (...)
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  • On Ratio Measures of Confirmation: Critical Remarks on Zalabardo’s Argument for the Likelihood-Ratio Measure.Valeriano Iranzo & Ignacio Martínez de Lejarza - 2013 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 44 (1):193-200.
    There are different Bayesian measures to calculate the degree of confirmation of a hypothesis H in respect of a particular piece of evidence E. Zalabardo (Analysis 69:630–635, 2009) is a recent attempt to defend the likelihood-ratio measure (LR) against the probability-ratio measure (PR). The main disagreement between LR and PR concerns their sensitivity to prior probabilities. Zalabardo invokes intuitive plausibility as the appropriate criterion for choosing between them. Furthermore, he claims that it favours the ordering of pairs evidence/hypothesis generated by (...)
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  • Intertheoretic Reduction, Confirmation, and Montague’s Syntax-Semantics Relation.Kristina Liefke & Stephan Hartmann - 2018 - Journal of Logic, Language and Information 27 (4):313-341.
    Intertheoretic relations are an important topic in the philosophy of science. However, since their classical discussion by Ernest Nagel, such relations have mostly been restricted to relations between pairs of theories in the natural sciences. This paper presents a case study of a new type of intertheoretic relation that is inspired by Montague’s analysis of the linguistic syntax-semantics relation. The paper develops a simple model of this relation. To motivate the adoption of our new model, we show that this model (...)
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  • God and the Bayesian Conception of Evidence.David Manley - forthcoming - Religious Studies.
    Contemporary arguments for and against the existence of God are often formulated within a broadly Bayesian framework. Arguments of this sort focus on a specific feature of the world that is taken to provide probabilistic evidence for or against the existence of God: the existence of life in a ‘fine-tuned’ universe, the magnitude of suffering, divine hiddenness, etc. In each case, the idea is that things were more likely to be this way if God existed than if God did not (...)
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  • A Representation Theorem for Absolute Confirmation.Michael Schippers - 2017 - Philosophy of Science 84 (1):82-91.
    Proposals for rigorously explicating the concept of confirmation in probabilistic terms abound. To foster discussions on the formal properties of the proposed measures, recent years have seen the upshot of a number of representation theorems that uniquely determine a confirmation measure based on a number of desiderata. However, the results that have been presented so far focus exclusively on the concept of incremental confirmation. This leaves open the question whether similar results can be obtained for the concept of absolute confirmation. (...)
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  • Competing accounts of contrastive coherence.Michael Schippers - 2016 - Synthese 193 (10).
    The proposition that Tweety is a bird coheres better with the proposition that Tweety has wings than with the proposition that Tweety cannot fly. This relationship of contrastive coherence is the focus of the present paper. Based on recent work in formal epistemology we consider various possibilities to model this relationship by means of probability theory. In a second step we consider different applications of these models. Among others, we offer a coherentist interpretation of the conjunction fallacy.
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  • (1 other version)Whence Ontological Structural Realism?Juha Saatsi - 2010 - In M. Dorato M. Suàrez, Epsa Epistemology and Methodology of Science. Springer. pp. 255--265.
    'Structural realism' is a buzzword in the scientific realism debate. Various positions with diverse motivations fall under this label. A much advertised distinction is between epistemic and ontological forms of structuralism. This paper scrutinizes the alleged dichotomy between these two 'alternatives', and criticises the considerations that have been taken to motivate the ontic variety over the epistemic. I will argue that ontological structural realism is not called for within the traditional realism debate.
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  • What Games Do Scientists Play? Rationality and Objectivity in a Game-Theoretic Approach to the Social Construction of Scientific Knowledge.Jesús Zamora-Bonilla - 2010 - In M. Dorato M. Suàrez, Epsa Epistemology and Methodology of Science. Springer. pp. 323--332.
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