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Logical foundations of probability

Chicago]: Chicago University of Chicago Press (1950)

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  1. Bayesian confirmation theory: Inductive logic, or mere inductive framework?Michael Strevens - 2004 - Synthese 141 (3):365 - 379.
    Does the Bayesian theory of confirmation put real constraints on our inductive behavior? Or is it just a framework for systematizing whatever kind of inductive behavior we prefer? Colin Howson (Hume's Problem) has recently championed the second view. I argue that he is wrong, in that the Bayesian apparatus as it is usually deployed does constrain our judgments of inductive import, but also that he is right, in that the source of Bayesianism's inductive prescriptions is not the Bayesian machinery itself, (...)
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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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  • Testability and candor.Sherrilyn Roush - 2005 - Synthese 145 (2):233 - 275.
    On analogy with testimony, I define a notion of a scientific theory’s lacking or having candor, in a testing situation, according to whether the theory under test is probabilistically relevant to the processes in the test procedures, and thereby to the reliability of test outcomes. I argue that this property identifies what is distinctive about those theories that Karl Popper denounced as exhibiting “reinforced dogmatism” through their self-protective behavior (e.g., psychoanalysis, Hegelianism, Marxism). I explore whether lack of candor interferes with (...)
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  • Words in contexts: Fregean elucidations.Hans Rott - 2000 - Linguistics and Philosophy 23 (6):621-643.
    The paper suggests a way of viewing the two Fregean principles of compositionality and contextuality as working together in the enterprise of interpretation. A third Fregean theme, that of elucidation (more precisely, the elucidation of primitive, undefinable terms of logic, mathematics and metamathematics) secures a place for some version of the context principle in Frege's later writings. When thinking about the functioning of elucidations, Frege acknowledges a principle of charitable interpretation. I argue that there is a deep connection between the (...)
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  • Modal logic with subjunctive conditionals and dispositional predicates.Lennart Åqvist - 1973 - Journal of Philosophical Logic 2 (1):1 - 76.
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  • Epistemic intuitions.Jennifer Nagel - 2007 - Philosophy Compass 2 (6):792–819.
    We naturally evaluate the beliefs of others, sometimes by deliberate calculation, and sometimes in a more immediate fashion. Epistemic intuitions are immediate assessments arising when someone’s condition appears to fall on one side or the other of some significant divide in epistemology. After giving a rough sketch of several major features of epistemic intuitions, this article reviews the history of the current philosophical debate about them and describes the major positions in that debate. Linguists and psychologists also study epistemic assessments; (...)
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  • Probable explanation.D. H. Mellor - 1976 - Australasian Journal of Philosophy 54 (3):231 – 241.
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  • Bayesianism and irrelevant conjunction.Patrick Maher - 2004 - Philosophy of Science 71 (4):515-520.
    Bayesian confirmation theory offers an explicatum for a pretheoretic concept of confirmation. The “problem of irrelevant conjunction” for this theory is that, according to some people's intuitions, the pretheoretic concept differs from the explicatum with regard to conjunctions involving irrelevant propositions. Previous Bayesian solutions to this problem consist in showing that irrelevant conjuncts reduce the degree of confirmation; they have the drawbacks that (i) they don't hold for all ways of measuring degree of confirmation and (ii) they don't remove the (...)
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  • Empirical equivalence in the Quine-Carnap debate.Eric J. Loomis - 2006 - Pacific Philosophical Quarterly 87 (4):499–508.
    Alexander George has put forward a novel interpretation of the Quine-Carnap debate over analyticity. George argues that Carnap's claim that there exists an analytic-synthetic distinction was held by Carnap to be empty of empirical consequences. As a result, Carnap understood his position to be empirically indistinguishable from Quine's. Although George defends his interpretation only briefly, I show that it withstands further examination and ought to be accepted. The consequences of accepting it undermine a common understanding of Quine's criticism of Carnap, (...)
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  • Probability functions and their assumption sets — the singulary case.Hugues Leblanc - 1983 - Journal of Philosophical Logic 12 (4):379 - 402.
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  • In search of the philosopher's stone: Remarks on Humphreys and Freedman's critique of causal discovery.Kevin B. Korb & Chris S. Wallace - 1997 - British Journal for the Philosophy of Science 48 (4):543-553.
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  • The Logic of Theory Assessment.Franz Huber - 2007 - Journal of Philosophical Logic 36 (5):511-538.
    This paper starts by indicating the analysis of Hempel's conditions of adequacy for any relation of confirmation (Hempel, 1945) as presented in Huber (submitted). There I argue contra Carnap (1962, Section 87) that Hempel felt the need for two concepts of confirmation: one aiming at plausible theories and another aiming at informative theories. However, he also realized that these two concepts are conflicting, and he gave up the concept of confirmation aiming at informative theories. The main part of the paper (...)
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  • Must the logical probability of laws be zero?C. Howson - 1973 - British Journal for the Philosophy of Science 24 (2):153-163.
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  • The rule of succession, inductive logic, and probability logic.Colin Howson - 1975 - British Journal for the Philosophy of Science 26 (3):187-198.
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  • Carnap's inductive probabilities as a contribution to decision theory.Joachim Hornung - 1980 - Theoretical Medicine and Bioethics 1 (3):325-367.
    Common probability theories only allow the deduction of probabilities by using previously known or presupposed probabilities. They do not, however, allow the derivation of probabilities from observed data alone. The question thus arises as to how probabilities in the empirical sciences, especially in medicine, may be arrived at. Carnap hoped to be able to answer this question byhis theory of inductive probabilities. In the first four sections of the present paper the above mentioned problem is discussed in general. After a (...)
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  • The reference class problem is your problem too.Alan Hájek - 2007 - Synthese 156 (3):563--585.
    The reference class problem arises when we want to assign a probability to a proposition (or sentence, or event) X, which may be classified in various ways, yet its probability can change depending on how it is classified. The problem is usually regarded as one specifically for the frequentist interpretation of probability and is often considered fatal to it. I argue that versions of the classical, logical, propensity and subjectivist interpretations also fall prey to their own variants of the reference (...)
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  • Carnap and de finetti on bets and the probability of singular events: The dutch book argument reconsidered.Klaus Heilig - 1978 - British Journal for the Philosophy of Science 29 (4):325-346.
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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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  • Non-deductive logic in mathematics.James Franklin - 1987 - British Journal for the Philosophy of Science 38 (1):1-18.
    Mathematicians often speak of conjectures as being confirmed by evidence that falls short of proof. For their own conjectures, evidence justifies further work in looking for a proof. Those conjectures of mathematics that have long resisted proof, such as Fermat's Last Theorem and the Riemann Hypothesis, have had to be considered in terms of the evidence for and against them. It is argued here that it is not adequate to describe the relation of evidence to hypothesis as `subjective', `heuristic' or (...)
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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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  • Twenty-one arguments against propensity analyses of probability.Antony Eagle - 2004 - Erkenntnis 60 (3):371–416.
    I argue that any broadly dispositional analysis of probability will either fail to give an adequate explication of probability, or else will fail to provide an explication that can be gainfully employed elsewhere (for instance, in empirical science or in the regulation of credence). The diversity and number of arguments suggests that there is little prospect of any successful analysis along these lines.
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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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  • Generalized logical consequence: Making room for induction in the logic of science. [REVIEW]Samir Chopra & Eric Martin - 2002 - Journal of Philosophical Logic 31 (3):245-280.
    We present a framework that provides a logic for science by generalizing the notion of logical (Tarskian) consequence. This framework will introduce hierarchies of logical consequences, the first level of each of which is identified with deduction. We argue for identification of the second level of the hierarchies with inductive inference. The notion of induction presented here has some resonance with Popper's notion of scientific discovery by refutation. Our framework rests on the assumption of a restricted class of structures in (...)
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  • Logical Foundations of Evidential Support.Branden Fitelson - 2006 - Philosophy of Science 73 (5):500-512.
    Carnap's inductive logic (or confirmation) project is revisited from an "increase in firmness" (or probabilistic relevance) point of view. It is argued that Carnap's main desiderata can be satisfied in this setting, without the need for a theory of "logical probability." The emphasis here will be on explaining how Carnap's epistemological desiderata for inductive logic will need to be modified in this new setting. The key move is to abandon Carnap's goal of bridging confirmation and credence, in favor of bridging (...)
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  • Pragmatism and philosophy of science: A critical survey.Robert Almeder - 2007 - International Studies in the Philosophy of Science 21 (2):171 – 195.
    After delineating the distinguishing features of pragmatism, and noting the resources that pragmatists have available to respond effectively as pragmatists to the two major objections to pragmatism, I examine and critically evaluate the various proposals that pragmatists have offered as a solution to the problem of induction, followed by a discussion of the pragmatic positions on the status of theoretical entities. Thereafter I discuss the pragmatic posture toward the nature of explanation in science. I conclude that pragmatism has (a) a (...)
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  • Can human irrationality be experimentally demonstrated?L. Jonathan Cohen - 1981 - Behavioral and Brain Sciences 4 (3):317-370.
    The object of this paper is to show why recent research in the psychology of deductive and probabilistic reasoning does not have.
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  • Semantic intuitions, conceptual analysis, and cross-cultural variation.Henry Jackman - 2008 - Philosophical Studies 146 (2):159 - 177.
    While philosophers of language have traditionally relied upon their intuitions about cases when developing theories of reference, this methodology has recently been attacked on the grounds that intuitions about reference, far from being universal, show significant cultural variation, thus undermining their relevance for semantic theory. I’ll attempt to demonstrate that (1) such criticisms do not, in fact, undermine the traditional philosophical methodology, and (2) our underlying intuitions about the nature of reference may be more universal than the authors suppose.
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  • Prototypes and conceptual analysis.William Ramsey - 1992 - Topoi 11 (1):59-70.
    In this paper, I explore the implications of recent empirical research on concept representation for the philosophical enterprise of conceptual analysis. I argue that conceptual analysis, as it is commonly practiced, is committed to certain assumptions about the nature of our intuitive categorization judgments. I then try to show how these assumptions clash with contemporary accounts of concept representation in cognitive psychology. After entertaining an objection to my argument, I close by considering ways in which conceptual analysis might be altered (...)
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  • The Cognitive Science of Credence.Elizabeth Jackson - forthcoming - In Neil Van Leeuwen & Tania Lombrozo (eds.), The Oxford Handbook of the Cognitive Science of Belief. Oxford University Press: Oxford.
    Credences are similar to levels of confidence, represented as a value on the [0,1] interval. This chapter sheds light on questions about credence, including its relationship to full belief, with an eye toward the empirical relevance of credence. First, I’ll provide a brief epistemological history of credence and lay out some of the main theories of the nature of credence. Then, I’ll provide an overview of the main views on how credences relate to full beliefs. Finally, I’ll turn to the (...)
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  • Cantor, Choice, and Paradox.Nicholas DiBella - forthcoming - The Philosophical Review.
    I propose a revision of Cantor’s account of set size that understands comparisons of set size fundamentally in terms of surjections rather than injections. This revised account is equivalent to Cantor's account if the Axiom of Choice is true, but its consequences differ from those of Cantor’s if the Axiom of Choice is false. I argue that the revised account is an intuitive generalization of Cantor’s account, blocks paradoxes—most notably, that a set can be partitioned into a set that is (...)
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  • Expressing Moral Belief.Sebastian Hengst - 2022 - Dissertation, Ludwig Maximilians Universität, München
    It is astonishing that we humans are able to have, act on and express moral beliefs. This dissertation aims to provide a better philosophical understanding of why and how this is possible especially when we assume metaethical expressivism. Metaethical expressivism is the combination of expressivism and noncognitivism. Expressivism is the view that the meaning of a sentence is explained by the mental state it is conventionally used to express. Noncognitivism is the view that the mental state expressed by a moral (...)
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  • Emergent Will.Jan Scheffel - manuscript
    The enduring problem of free will has defied resolution across centuries. There is reason to believe that novel factors must be integrated into the analysis to make progress. Within the current physicalist framework, these factors encompass emergence and information theory, in the context of constraints imposed by physical limits on the representation of information. Furthermore the common, but vague, characterization of free will as 'being able to act differently' is rephrased into an explicatum more suitable for formal analysis. It is (...)
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  • The Epistemic and the Deontic Preface Paradox.Lina M. Lissia & Jan Sprenger - manuscript
    This paper generalizes the (epistemic) preface paradox beyond the principle of belief aggregation and constructs a similar paradox for deontic reasoning. The analysis of the deontic case yields a solution strategy---restricting belief/obligation aggregation rather than giving it up altogether---that can be transferred to the epistemic case. Our proposal amounts to a reasonable compromise between two goals: (i) sticking to bridge principles between evidence and belief, such as the Lockean Thesis, and (ii) obtaining a sufficiently strong logic of doxastic and deontic (...)
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  • The Ethics of Conceptualization: Tailoring Thought and Language to Need.Matthieu Queloz - forthcoming - Oxford: Oxford University Press.
    Philosophy strives to give us a firmer hold on our concepts. But what about their hold on us? Why place ourselves under the sway of a concept and grant it the authority to shape our thought and conduct? Another conceptualization would carry different implications. What makes one way of thinking better than another? This book develops a framework for concept appraisal. Its guiding idea is that to question the authority of concepts is to ask for reasons of a special kind: (...)
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  • Evil and Evidence: A Reply to Bass.Mike Almeida - 2023 - Religious Studies.
    In ‘Evil is Still Evidence: Comments on Almeida’ Robert Bass presents three objections to the central argument (ENE) in my ‘Evil is Not Evidence’. The first objection is that ENE is invalid. According to the second objection, it is a consequence of ENE that there can be no evidence for or against a posteriori necessities. The third objection is that, contrary to ENE, the likelihood of certain necessary identities varies with the evidence we have for them. In this reply I (...)
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  • Cross-linguistic Studies in Epistemology.Davide Fassio & Jie Gao - forthcoming - In Kurt Sylvan, Ernest Sosa, Jonathan Dancy & Matthias Steup (eds.), The Blackwell Companion to Epistemology, 3rd edition. Wiley Blackwell.
    Linguistic data are commonly considered a defeasible source of evidence from which it is legitimate to draw philosophical hypotheses and conclusions. Traditionally epistemologists have relied almost exclusively on linguistic data from western languages, with a primary focus on contemporary English. However, in the last two decades there has been an increasing interest in cross-linguistic studies in epistemology. In this entry, we provide a brief overview of cross-linguistic data discussed by contemporary epistemologists and the philosophical debates they have generated.
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  • Recent work in the theory of conceptual engineering.Steffen Koch, Guido Löhr & Mark Pinder - 2023 - Analysis 83 (3):589-603.
    A philosopher argues that state-sponsored cyberattacks against central military or civilian targets are always acts of war. What is this philosopher doing? According to conceptual analysts, the philosopher is making a claim about our concept of war. According to philosophical realists, the philosopher is making a claim about war per se. In a quickly developing literature, a third option is being explored: the philosopher is engineering the concept of war. On this view, the philosopher is making a proposal about which (...)
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  • Engineering virtue: constructionist virtue ethics.Jakob Ohlhorst - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Virtue ethics is traditionally a conservative project. It analyses the virtues that humanity has been relying on since antiquity. This conservatism unduly limits the potential of virtue ethics to contribute to moral progress. Instead, we should pay more attention to constructionist virtue ethics with the help of conceptual engineering. I will argue that revising and ameliorating the virtue concepts which a community uses directly and indirectly leads to a change of the virtues that exist in this community. By revising and (...)
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  • Ernest Nagel & Felix Oppenheim Respond to Leo Strauss, and the Road not Taken.Schliesser Eric - manuscript
    This chapter presents the reception of Leo Strauss by analytic philosophers after Strauss’s emigration to the United States. It gives a brief survey of the polemics against Strauss and his school by analytic philosophers, which aided in the self-constitution of analytic philosophy as a rival school of thought in philosophy. But most of the chapter is devoted to recovering the significance and influence of a criticism of Strauss by Ernest Nagel. The chapter argues that this response is of intrinsic interest (...)
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  • The balance and weight of reasons.Nicholas Makins - 2023 - Theoria 89 (5):592-606.
    The aim of this paper is to provide a detailed characterisation of some ways in which our preferences reflect our reasons. I will argue that practical reasons can be characterised along two dimensions that influence our preferences: their balance and their weight. This is analogous to a similar characterisation of the way in which probabilities reflect the balance and weight of evidence in epistemology. In this paper, I will illustrate the distinction between the balance and weight of reasons, and show (...)
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  • The Uniqueness Thesis: A Hybrid Approach.Tamaz Tokhadze - 2022 - Dissertation, University of Sussex
    This dissertation proposes and defends a hybrid view I call Hybrid Impermissivism, which combines the following two theses: Moderate Uniqueness and Credal Permissivism. Moderate Uniqueness says that no evidence could justify both believing a proposition and its negation. However, on Moderate Uniqueness, evidence could justify both believing and suspending judgement on a proposition (hence the adjective “Moderate”). And Credal Permissivism says that more than one credal attitude could be justified on the evidence. Hybrid Impermissisim is developed into a precise theory (...)
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  • MOND and Methodology.David Merritt - 2021 - In Parusniková Zuzana & Merritt David (eds.), Karl Popper's Science and Philosophy. Cham, Switzerland: Springer. pp. 69-96.
    In Logik der Forschung (1934) and later works, Karl Popper proposed a set of methodological rules for scientists. Among these were requirements that theories should evolve in the direction of increasing content, and that new theories should only be accepted if some of their novel predictions are experimentally confirmed. There are currently two, viable theories of cosmology: the standard cosmological model, and a theory due to Mordehai Milgrom called MOND. Both theories can point to successes and failures, but only MOND (...)
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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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  • Explicating Agency: The Case of Visual Attention.Denis Buehler - 2023 - Philosophical Quarterly 73 (2):379-413.
    How do individuals guide their activities towards some goal? Harry Frankfurt once identified the task of explaining guidance as the central problem in action theory. An explanation has proved to be elusive, however. In this paper, I show how we can marshal empirical research to make explanatory progress. I contend that human agents have a primitive capacity to guide visual attention, and that this capacity is actually constituted by a sub-individual psychological control-system: the executive system. I thus illustrate how we (...)
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  • Are Credences Different From Beliefs?Roger Clarke & Julia Staffel - 2024 - In Blake Roeber, Ernest Sosa, Matthias Steup & John Turri (eds.), Contemporary Debates in Epistemology, 3rd edition. Wiley-Blackwell.
    This is a three-part exchange on the relationship between belief and credence. It begins with an opening essay by Roger Clarke that argues for the claim that the notion of credence generalizes the notion of belief. Julia Staffel argues in her reply that we need to distinguish between mental states and models representing them, and that this helps us explain what it could mean that belief is a special case of credence. Roger Clarke's final essay reflects on the compatibility of (...)
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  • Outline of a Theory of Reasons.Vincenzo Crupi & Andrea Iacona - 2023 - Philosophical Quarterly 73 (1):117-142.
    This paper investigates the logic of reasons. Its aim is to provide an analysis of the sentences of the form ‘p is a reason for q’ that yields a coherent account of their logical properties. The idea that we will develop is that ‘p is a reason for q’ is acceptable just in case a suitably defined relation of incompatibility obtains between p and ¬q. As we will suggest, a theory of reasons based on this idea can solve three challenging (...)
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  • A metaphysical foundation for mathematical philosophy.Wójtowicz Krzysztof & Skowron Bartłomiej - 2022 - Synthese 200 (4):1-28.
    Although mathematical philosophy is flourishing today, it remains subject to criticism, especially from non-analytical philosophers. The main concern is that even if formal tools serve to clarify reasoning, they themselves contribute nothing new or relevant to philosophy. We defend mathematical philosophy against such concerns here by appealing to its metaphysical foundations. Our thesis is that mathematical philosophy can be founded on the phenomenological theory of ideas as developed by Roman Ingarden. From this platonist perspective, the “unreasonable effectiveness of mathematics in (...)
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  • Darwinian Functional Biology.Ginnobili Santiago - 2022 - Theoria : An International Journal for Theory, History and Fundations of Science 37 (2):233-255.
    Abstract One of the most important things that the Darwinian revolution affected is the previous teleological thinking. In particular, the attribution of functions to various entities of the natural world with explanatory pretensions. In this change, his theory of natural selection played an important role. We all agree on that, but the diversity and heterogeneity of the answers that try to explain what Darwin did exactly with functional biology are overwhelming. In this paper I will try to show how Darwin (...)
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  • "Knowledge First" and Its Limits.Tammo Lossau - 2022 - Dissertation, Johns Hopkins University
    I discuss three understandings of the idea of “Knowledge First Epistemology”, i.e. Timothy Williamson’s suggestion that we should take knowledge as a starting point, rather than trying to analyze it. Some have taken this to be a suggestion about the role of the concept of knowledge, but Williamson also seems to be concerned with intuition-based metaphysics. As an alternative, I develop the idea that knowledge may be a social kind that can be understood through a functional analysis in the tradition (...)
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  • The phenomenon objection to conceptual engineering.Mark Pinder - 2022 - Philosophical Studies 179 (11):3281-3305.
    Conceptual engineering is sometimes presented as an alternative to conceptual analysis. But one important objection to conceptual analysis threatens to carry across: that philosophy investigates phenomena—knowledge, truth, freedom, etc.—rather than concepts of those phenomena. This poses a prima facie problem insofar as conceptual engineering targets concepts or terms rather than phenomena. Call it the ‘phenomenon objection’. I begin by examining recent discussions of the phenomenon objection by Cappelen and Scharp, rejecting their responses. I then clarify and strengthen the objection, discussing (...)
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