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Logical Foundations of Probability

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

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  1. Whither Evidentialist Reliabilism?Juan Comesaña - 2018 - In McCain Kevin (ed.), Believing in Accordance with the Evidence: New Essays on Evidentialism. Cham: Springer Verlag. pp. 307-25.
    Evidentialism and Reliabilism are two of the main contemporary theories of epistemic justification. Some authors have thought that the theories are not incompatible with each other, and that a hybrid theory which incorporates elements of both should be taken into account. More recently, other authors have argued that the resulting theory is well- placed to deal with fine-grained doxastic attitudes (credences). In this paper I review the reasons for adopting this kind of hybrid theory, paying attention to the case of (...)
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  • Inductive Logic as Explication: The Evolution of Carnap’s Notion of Logical Probability.Marta Sznajder - 2018 - The Monist 101 (4):417-440.
    According to a popular interpretation, Carnap’s interpretation of probability had evolved from a logical towards a subjective conception. However Carnap himself insisted that his basic philosophical view of probability was always the same. I address this apparent clash between Carnap's self-identification and the subsequent interpretations of his work. Following its original intentions, I reconstruct inductive logic as an explication. The emerging picture is of a versatile linguistic framework, whose main function is not the discovery of objective logical relations in the (...)
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  • Mechanisms in medicine.Phyllis Illari - 2016 - In Miriam Solomon, Jeremy R. Simon & Harold Kincaid (eds.), The Routledge Companion to Philosophy of Medicine. New York, NY: Routledge.
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  • A partial consequence account of truthlikeness.Gustavo Cevolani & Roberto Festa - 2018 - Synthese:1-20.
    Popper’s original definition of truthlikeness relied on a central insight: that truthlikeness combines truth and information, in the sense that a proposition is closer to the truth the more true consequences and the less false consequences it entails. As intuitively compelling as this definition may be, it is untenable, as proved long ago; still, one can arguably rely on Popper’s intuition to provide an adequate account of truthlikeness. To this aim, we mobilize some classical work on partial entailment in defining (...)
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  • Hegel's Pragmatic Critique and Reconstruction of Kant's System of Principles in the 1807 Phenomenology of Spirit.Kenneth R. Westphal - 2015 - Hegel Bulletin 36 (2):159-183.
    Peirce's study of Kant, and later of Hegel, and Dewey's (1930) retention of much of Hegel's social philosophy are recognised idealist sources of pragmatism. Here I argue that the transition from idealism to pragmatic realism was already achieved by Hegel. Hegel's ‘Objective Logic’ corresponds in part to Kant's ‘Transcendental Logic’ (WdL,GW21:47.1-3). Hegel faults Kant for relegating concepts of reflection to an Appendix to his Transcendental Logic (WdL,GW12:19.34-38), and for treating reason as ‘only dialectical’ and as ‘merely regulative’ (WdL,GW12:23.12,.16-17). I present (...)
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  • Genuine confirmation and tacking by conjunction.Michael Schippers & Gerhard Schurz - 2018 - British Journal for the Philosophy of Science (1):321-352.
    Tacking by conjunction is a deep problem for Bayesian confirmation theory. It is based on the insight that to each hypothesis h that is confirmed by a piece of evidence e one can ‘tack’ an irrelevant hypothesis h′ so that h∧h′ is also confirmed by e. This seems counter-intuitive. Existing Bayesian solution proposals try to soften the negative impact of this result by showing that although h∧h′ is confirmed by e, it is so only to a lower degree. In this (...)
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  • Inductive Social Metaphysics—A Defence of Inference to the Best Explanation in the Metaphysics of Social Reality: Comments on Katherine Hawley.Oliver R. Scholz - 2018 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 49 (2):199-210.
    How is metaphysics related to the empirical sciences? Should metaphysics in general be guided by the sources, methods and results of the sciences? And what about the special case of the metaphysics of the social world: should it likewise be guided by the sources, methods and results of the social sciences? In her paper “Social Science as a Guide to Social Metaphysics?”, K. Hawley raises the question: If we are sympathetic to the project of naturalising metaphysics, how should we approach (...)
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  • No Free Lunch Theorem, Inductive Skepticism, and the Optimality of Meta-induction.Gerhard Schurz - 2017 - Philosophy of Science 84 (5):825-839.
    The no free lunch theorem is a radicalized version of Hume’s induction skepticism. It asserts that relative to a uniform probability distribution over all possible worlds, all computable prediction algorithms—whether ‘clever’ inductive or ‘stupid’ guessing methods —have the same expected predictive success. This theorem seems to be in conflict with results about meta-induction. According to these results, certain meta-inductive prediction strategies may dominate other methods in their predictive success. In this article this conflict is analyzed and dissolved, by means of (...)
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  • On Strawson’s critique of explication as a method in philosophy.Mark Pinder - 2020 - Synthese 197 (3):955-981.
    In the course of theorising, it can be appropriate to replace one concept—a folk concept, or one drawn from an earlier stage of theorising—with a more precise counterpart. The best-known account of concept replacement is Rudolf Carnap’s ‘explication’. P.F. Strawson famously critiqued explication as a method in philosophy. As the critique is standardly construed, it amounts to the objection that explication is ‘irrelevant’, fails to be ‘illuminating’, or simply ‘changes the subject’. In this paper, I argue that this is an (...)
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  • Analogical Predictive Probabilities.Simon M. Huttegger - 2019 - Mind 128 (509):1-37.
    It is well known that Rudolf Carnap’s original system of inductive logic failed to provide an adequate account of analogical reasoning. Since this problem was identified, there has been no shortage of proposals for how to incorporate analogy into inductive inference. Most alternatives to Carnap’s system, unlike his original one, have not been derived from first principles; this makes it to some extent unclear what the epistemic situations are to which they apply. This paper derives a new analogical inductive logic (...)
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  • The Explication Defence of Arguments from Reference.Mark Pinder - 2017 - Erkenntnis 82 (6):1253-1276.
    In a number of influential papers, Machery, Mallon, Nichols and Stich have presented a powerful critique of so-called arguments from reference, arguments that assume that a particular theory of reference is correct in order to establish a substantive conclusion. The critique is that, due to cross-cultural variation in semantic intuitions supposedly undermining the standard methodology for theorising about reference, the assumption that a theory of reference is correct is unjustified. I argue that the many extant responses to Machery et al.’s (...)
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  • Pragmatic Truth and the Logic of Induction.Newton C. A. da Costa & Steven French - 1989 - British Journal for the Philosophy of Science 40 (3):333-356.
    We apply the recently elaborated notions of 'pragmatic truth' and 'pragmatic probability' to the problem of the construction of a logic of inductive inference. It is argued that the system outlined here is able to overcome many of the objections usually levelled against such attempts. We claim, furthermore, that our view captures the essentially cumulative nature of science and allows us to explain why it is indeed reasonable to accept and believe in the conclusions reached by inductive inference.
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  • Dimensions of Objectual Understanding.Christoph Baumberger & Georg Brun - 2017 - In Stephen Grimm Christoph Baumberger & Sabine Ammon (eds.), Explaining Understanding: New Perspectives from Epistemology and Philosophy of Science. Routledge. pp. 165-189.
    In science and philosophy, a relatively demanding notion of understanding is of central interest: an epistemic subject understands a subject matter by means of a theory. This notion can be explicated in a way which resembles JTB analyses of knowledge. The explication requires that the theory answers to the facts, that the subject grasps the theory, that she is committed to the theory and that the theory is justified for her. In this paper, we focus on the justification condition and (...)
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  • Foundations of a Probabilistic Theory of Causal Strength.Jan Sprenger - 2018 - Philosophical Review 127 (3):371-398.
    This paper develops axiomatic foundations for a probabilistic-interventionist theory of causal strength. Transferring methods from Bayesian confirmation theory, I proceed in three steps: I develop a framework for defining and comparing measures of causal strength; I argue that no single measure can satisfy all natural constraints; I prove two representation theorems for popular measures of causal strength: Pearl's causal effect measure and Eells' difference measure. In other words, I demonstrate these two measures can be derived from a set of plausible (...)
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  • Frequentist statistics as a theory of inductive inference.Deborah G. Mayo & David Cox - 2009 - In Deborah G. Mayo & Aris Spanos (eds.), Error and Inference: Recent Exchanges on Experimental Reasoning, Reliability, and the Objectivity and Rationality of Science. New York: Cambridge University Press.
    After some general remarks about the interrelation between philosophical and statistical thinking, the discussion centres largely on significance tests. These are defined as the calculation of p-values rather than as formal procedures for ‘acceptance‘ and ‘rejection‘. A number of types of null hypothesis are described and a principle for evidential interpretation set out governing the implications of p- values in the specific circumstances of each application, as contrasted with a long-run interpretation. A number of more complicated situ- ations are discussed (...)
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  • Barcan Marcus on Belief and Rationality.Erik J. Olsson - unknown
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  • Experimental Explication.Jonah N. Schupbach - 2017 - Philosophy and Phenomenological Research 94 (3):672-710.
    Two recently popular metaphilosophical movements, formal philosophy and experimental philosophy, promote what seem to be conflicting methodologies. Nonetheless, I argue that the two can be mutually supportive. I propose an experimentally-informed variation on explication, a powerful formal philosophical tool introduced by Carnap. The resulting method, which I call “experimental explication,” provides the formalist with a means of responding to explication's gravest criticism. Moreover, this method introduces a philosophically salient, positive role for survey-style experiments while steering clear of several objections that (...)
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  • Concept Formation and Concept Grounding.Jörgen Sjögren & Christian Bennet - 2014 - Philosophia 42 (3):827-839.
    Recently Carrie S. Jenkins formulated an epistemology of mathematics, or rather arithmetic, respecting apriorism, empiricism, and realism. Central is an idea of concept grounding. The adequacy of this idea has been questioned e.g. concerning the grounding of the mathematically central concept of set (or class), and of composite concepts. In this paper we present a view of concept formation in mathematics, based on ideas from Carnap, leading to modifications of Jenkins’s epistemology that may solve some problematic issues with her ideas. (...)
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  • Eschewing Entities: Outlining a Biology Based Form of Structural Realism.Steven French - 2013 - In Vassilios Karakostas & Dennis Dieks (eds.), EPSA11 Perspectives and Foundational Problems in Philosophy of Science. Cham: Springer. pp. 371--381.
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  • A new role for emotions in epistemology.Georg Brun & Dominique Kuenzle - 2008 - In Georg Brun, Ulvi Dogluoglu & Dominique Kuenzle (eds.), Epistemology and Emotions. Ashgate Publishing Company. pp. 1--31.
    This chapter provides an overview of the issues involved in recent debates about the epistemological relevance of emotions. We first survey some key issues in epistemology and the theory of emotions that inform various assessments of emotions’ potential significance in epistemology. We then distinguish five epistemic functions that have been claimed for emotions: motivational force, salience and relevance, access to facts and beliefs, non-propositional contributions to knowledge and understanding, and epistemic efficiency. We identify two core issues in the discussions about (...)
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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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  • Bayesianism II: Applications and Criticisms.Kenny Easwaran - 2011 - Philosophy Compass 6 (5):321-332.
    In the first paper, I discussed the basic claims of Bayesianism (that degrees of belief are important, that they obey the axioms of probability theory, and that they are rationally updated by either standard or Jeffrey conditionalization) and the arguments that are often used to support them. In this paper, I will discuss some applications these ideas have had in confirmation theory, epistemol- ogy, and statistics, and criticisms of these applications.
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  • (1 other version)Focused Correlation, Confirmation, and the Jigsaw Puzzle of Variable Evidence.Maximilian Schlosshauer & Gregory Wheeler - 2011 - Philosophy of Science 78 (3):376-92.
    Focused correlation compares the degree of association within an evidence set to the degree of association in that evidence set given that some hypothesis is true. A difference between the confirmation lent to a hypothesis by one evidence set and the confirmation lent to that hypothesis by another evidence set is robustly tracked by a difference in focused correlations of those evidence sets on that hypothesis, provided that all the individual pieces of evidence are equally, positively relevant to that hypothesis. (...)
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  • Probability captures the logic of scientific confirmation.Patrick Maher - 2004 - In Christopher Hitchcock (ed.), Contemporary debates in philosophy of science. Malden, MA: Blackwell. pp. 69--93.
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  • On Kinds of Indiscernibility in Logic and Metaphysics.Adam Caulton & Jeremy Butterfield - 2012 - British Journal for the Philosophy of Science 63 (1):27-84.
    Using the Hilbert-Bernays account as a spring-board, we first define four ways in which two objects can be discerned from one another, using the non-logical vocabulary of the language concerned. Because of our use of the Hilbert-Bernays account, these definitions are in terms of the syntax of the language. But we also relate our definitions to the idea of permutations on the domain of quantification, and their being symmetries. These relations turn out to be subtle---some natural conjectures about them are (...)
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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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  • Celebrating the open society.Joseph Agassi - 1997 - Philosophy of the Social Sciences 27 (4):486-525.
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  • Three problems in induction.Nathan Stemmer - 1971 - Synthese 23 (2-3):287 - 308.
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  • Higher order probabilities and coherence.Soshichi Uchii - 1973 - Philosophy of Science 40 (3):373-381.
    It is well known that a degree-of-belief function P is coherent if and only if it satisfies the probability calculus. In this paper, we show that the notion of coherence can be extended to higher order probabilities such as P(P(h)=p)=q, and that a higher order degree-of-belief function P is coherent if and only if it satisfies the probability calculus plus the following axiom: P(h)=p iff P(P(h)=p)=1. Also, a number of lemmata which extend an incomplete probability function to a complete one (...)
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  • Understanding bias in scientific practice.Nancy E. Shaffer - 1996 - Philosophy of Science 63 (3):97.
    Methodological objectivism is a conception of bias which obscures the contingent and limited nature of methodological principles behind the guise of fixed a priori standards. I suggest as an alternative a more flexible view of the operation of bias which I call the attribution model. The attribution model makes explicit the working principles of both parties to an actual charge of bias. It enables those involved to identify the issues in dispute between them, and is the basis for an approach (...)
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  • Stove on the rationality of induction and the uniformity thesis.Michael Rowan - 1993 - British Journal for the Philosophy of Science 44 (3):561-566.
    Stove attempts to undermine Hume's argument on induction by denying Hume the claim that induction presupposes the uniformity of nature. I argue that Stove's attack on Hume's argument fails. *A paper from which the present piece was derived was read at the Hume Symposium. Flinders Medical Centre, South Australia, in July 1990, where George Couvalis and David Gauthier made helpful criticisms of my argument.
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  • The relevance criterion of confirmation.J. L. Mackie - 1969 - British Journal for the Philosophy of Science 20 (1):27-40.
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  • Evidence and Emotions.Artūrs Logins - 2024 - American Philosophical Quarterly 61 (2):99-108.
    This paper explores one way in which the view that emotions can be epistemically justified stands in tension with two common views in epistemology; namely, that doxastic justification entails propositional justification, and that propositional justification is entirely determined by the (inferential) support relations between one's evidence and a given proposition. A tentative solution to the tension is provided.
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  • Advice as a model for reasons.Andrew Sneddon - forthcoming - Analytic Philosophy.
    Smith (Philosophy and Phenomenological Research, 55, 1995, 109) and Manne (Philosophical Studies, 167, 2014, 89), both following Williams (Making sense of humanity, Cambridge University Press, Cambridge, 1995), have developed advice‐based models of practical reasons. However, advice is not an apt model for reasons. The case for such pessimism is made by examining the positions of Smith and Manne first as attempts to explain the nature of reasons, then as suggestions for reforming our conception of reasons for action. The explanatory projects (...)
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  • In Search for Optimal Methods: New Insights About Meta-Induction.Gerhard Schurz - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (3):491-522.
    In this paper, the contributions to the account of meta-induction (Schurz 2019) collected in this volume are critically discussed and thereby, new insights are developed. How broad and expandable the program of meta-induction is can be learned from Ortner’s contribution. New insights about the transition from the a priori justification of meta-induction to the a posteriori justification of object-induction emerge from the reflection of Shogenji’s paper. How meta-induction may be applied also to religious prophecies and that their meta-inductive justification does (...)
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  • Probing the quantitative–qualitative divide in probabilistic reasoning.Duligur Ibeling, Thomas Icard, Krzysztof Mierzewski & Milan Mossé - 2024 - Annals of Pure and Applied Logic 175 (9):103339.
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  • (1 other version)Why Conceptual Engineers Should Not Worry About Topics.Steffen Koch - 2021 - Erkenntnis 88 (5):2123-2143.
    This paper argues for explanatory eliminativism about topics (and cognates, such as subject matters) relative to the domain of conceptual engineering. It has become usual to think that topics serve an important explanatory role in theories of conceptual engineering, namely, to determine the limits of revision. I argue, first, that such limits can be understood either as the normative limits pertaining to the justification of conceptual engineering, as the metaphysical limits pertaining to the identity of the concepts in question, or (...)
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  • Can we read minds by imaging brains?Charles Rathkopf, Jan Hendrik Heinrichs & Bert Heinrichs - 2023 - Philosophical Psychology 36 (2):221-246.
    Will brain imaging technology soon enable neuroscientists to read minds? We cannot answer this question without some understanding of the state of the art in neuroimaging. But neither can we answer this question without some understanding of the concept invoked by the term “mind reading.” This article is an attempt to develop such understanding. Our analysis proceeds in two stages. In the first stage, we provide a categorical explication of mind reading. The categorical explication articulates empirical conditions that must be (...)
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  • Frameworks, models, and case studies: a new methodology for studying conceptual change in science and philosophy.Matteo De Benedetto - 2022 - Dissertation, Ludwig Maximilians Universität, München
    This thesis focuses on models of conceptual change in science and philosophy. In particular, I developed a new bootstrapping methodology for studying conceptual change, centered around the formalization of several popular models of conceptual change and the collective assessment of their improved formal versions via nine evaluative dimensions. Among the models of conceptual change treated in the thesis are Carnap’s explication, Lakatos’ concept-stretching, Toulmin’s conceptual populations, Waismann’s open texture, Mark Wilson’s patches and facades, Sneed’s structuralism, and Paul Thagard’s conceptual revolutions. (...)
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  • T‐Philosophy.Chris Daly - 2022 - Metaphilosophy 53 (2-3):185-198.
    Metaphilosophy, Volume 53, Issue 2-3, Page 185-198, April 2022.
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  • The Impact of Meta-Induction: From Skepticism to Optimality.Gerhard Schurz - 2021 - Philosophies 6 (4):95.
    In the first section, five major attempts to solve the problem of induction and their failures are discussed. In the second section, an account of meta-induction is introduced. It offers a novel solution to the problem of induction, based on mathematical theorems about the predictive optimality of attractivity-weighted meta-induction. In the third section, how the a priori justification of meta-induction provides a non-circular a posteriori justification of object-induction, based on its superior track record, is explained. In the fourth section, four (...)
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  • Integrated HPS? Formal versus historical approaches to philosophy of science.Bobby Vos - 2021 - Synthese 199 (5-6):14509-14533.
    The project of integrated HPS has occupied philosophers of science in one form or another since at least the 1960s. Yet, despite this substantial interest in bringing together philosophical and historical reflections on the nature of science, history of science and formal philosophy of science remain as divided as ever. In this paper, I will argue that the continuing separation between historical and formal philosophy of science is ill-founded. I will argue for this in both abstract and concrete terms. At (...)
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  • How strong is the argument from inductive risk?Tobias Henschen - 2021 - European Journal for Philosophy of Science 11 (3):1-23.
    The argument from inductive risk, as developed by Rudner and others, famously concludes that the scientist qua scientist makes value judgments. The paper aims to show that trust in the soundness of the argument is overrated – that philosophers who endorse its conclusion fail to refute two of the most important objections that have been raised to its soundness: Jeffrey’s objection that the genuine task of the scientist is to assign probabilities to hypotheses, and Levi’s objection that the argument is (...)
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  • Experimental Explications for Conceptual Engineering.Samantha Wakil - 2021 - Erkenntnis:1-23.
    This paper argues for two conclusions: (1) evaluating the success of engineered concepts necessarily involves empirical work; and (2) the Carnapian Explication criterion precision ought to be a methodological standard in conceptual engineering. These two conclusions provide a new analysis of the race and gender debate between Sally Haslanger and Jennifer Saul. Specifically, the argument identifies the resources Haslanger needs to respond to Saul’s main objections. Lastly, I contrast the methodology advocated here with the so-called “method of cases” and draw (...)
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  • (1 other version)A New Condition for Transitivity of Probabilistic Support.David Atkinson & Jeanne Peijnenburg - 2021 - Erkenntnis (1):1-13.
    As is well known, implication is transitive but probabilistic support is not. Eells and Sober, followed by Shogenji, showed that screening off is a sufficient constraint for the transitivity of probabilistic support. Moreover, this screening off condition can be weakened without sacrificing transitivity, as was demonstrated by Suppes and later by Roche. In this paper we introduce an even weaker sufficient condition for the transitivity of probabilistic support, in fact one that can be made as weak as one wishes. We (...)
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  • Conceptual engineering and the implementation problem.Sigurd Jorem - 2021 - Inquiry: An Interdisciplinary Journal of Philosophy 64 (1-2):186-211.
    Conceptual engineers seek to revise or replace the devices we use to speak and think. If this amounts to an effort to change what natural language expressions mean, conceptual engineers will have a hard time. It is largely unfeasible to change the meaning of e.g. ‘cause’ in English. Conceptual engineers may therefore seem unable to make the changes they aim to make. This is what I call ‘the implementation problem’. In this paper, I argue that the implementation problem dissolves if (...)
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  • The Concept of Disorder Revisited: Robustly Value-Laden Despite Change.I.—Rachel Cooper - 2020 - Aristotelian Society Supplementary Volume 94 (1):141-161.
    Our concept of disorder is changing. This causes problems for projects of descriptive conceptual analysis. Conceptual change means that a criterion that was necessary for a condition to be a disorder at one time may cease to be necessary a relatively short time later. Nevertheless, some conceptually based claims will be fairly robust. In particular, the claim that no adequate account of disorder can appeal only to biological facts can be maintained for the foreseeable future. This is because our current (...)
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  • What Ought a Fruitful Explicatum to be?Mark Pinder - 2022 - Erkenntnis 87 (2):913-932.
    Many concepts are inadequate for serious inquiry, so theorists often seek to engineer new concepts. The method of explication, which involves replacing concepts with more fruitful alternatives, is a model of this process. In this paper, I develop an account of fruitfulness, the Relevant-Goals Account of Fruitfulness. The account is in the spirit of extant proposals, but develops and extends them in important ways. In particular, while it applies to explications in general, the account allows us to derive substantive details (...)
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  • Autonomy and Metacognition : A Healthcare Perspective.Henrik Levinsson - 2008 - Dissertation, Lund University
    Part I of the dissertation examines the cognitive aspects of autonomy. The central question concerns what kind of cognitive capacity autonomy is. It will be argued that the concept of autonomy is best understood in terms of a metacognitive capacity of the individual. It is argued that metacognition has two components: procedural reflexivity and metarepresentation. Metarepresentation in turn can be divided into inferential reflexivity and other-attributiveness. These two components are essential for autonomy. Particular emphasis is put on procedural reflexivity. Further, (...)
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  • (1 other version)Classification of Strategies for Dealing with Student Relativism and the Epistemic Conceptual Change Strategy.Jonas Pfister - 2019 - Teaching Philosophy 42 (3):221-246.
    Student relativism is a widespread phenomenon in introductory philosophy courses. It is a pressing issue for teachers because it seems to undermine the very purpose of philosophy. Since the 1980s there is a debate about how to understand and how to deal with student relativism. However, there is as yet no comprehensive presentation of the debate. The first aim of the article is to offer a classification of the strategies for dealing with student relativism and a presentation and short assessment (...)
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