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Logical Foundations of Probability

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

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  1. Function and Teleology.Justin Garson - 2008 - In Sahorta Sarkar & Anya Plutynski (eds.), Companion to the Philosophy of Biology. Blackwell. pp. 525-549.
    This is a short overview of the biological functions debate in philosophy. While it was fairly comprehensive when it was written, my short book ​A Critical Overview of Biological Functions has largely supplanted it as a definitive and up-to-date overview of the debate, both because the book takes into account new developments since then, and because the length of the book allowed me to go into substantially more detail about existing views.
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  • Truth-Seeking by Abduction.Ilkka Niiniluoto - 2018 - Cham, Switzerland: Springer.
    This book examines the philosophical conception of abductive reasoning as developed by Charles S. Peirce, the founder of American pragmatism. It explores the historical and systematic connections of Peirce's original ideas and debates about their interpretations. Abduction is understood in a broad sense which covers the discovery and pursuit of hypotheses and inference to the best explanation. The analysis presents fresh insights into this notion of reasoning, which derives from effects to causes or from surprising observations to explanatory theories. The (...)
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  • Evidential Reasoning.Marcello Di Bello & Bart Verheij - 2011 - In G. Bongiovanni, Don Postema, A. Rotolo, G. Sartor, C. Valentini & D. Walton (eds.), Handbook in Legal Reasoning and Argumentation. Dordrecht, Netherland: Springer. pp. 447-493.
    The primary aim of this chapter is to explain the nature of evidential reasoning, the characteristic difficulties encountered, and the tools to address these difficulties. Our focus is on evidential reasoning in criminal cases. There is an extensive scholarly literature on these topics, and it is a secondary aim of the chapter to provide readers the means to find their way in historical and ongoing debates.
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  • A resposta aristotélica para a aporia do regresso ao infinito nas demonstrações.Daniel Lourenço - 2014 - In Conte Jaimir & Mortari Cezar A. (eds.), Temas em Filosofia Contemporânea. NEL – Núcleo de Epistemologia e Lógica. pp. 184-202.
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  • Universality, Invariance, and the Foundations of Computational Complexity in the light of the Quantum Computer.Michael Cuffaro - 2018 - In Hansson Sven Ove (ed.), Technology and Mathematics: Philosophical and Historical Investigations. Cham, Switzerland: Springer Verlag. pp. 253-282.
    Computational complexity theory is a branch of computer science dedicated to classifying computational problems in terms of their difficulty. While computability theory tells us what we can compute in principle, complexity theory informs us regarding our practical limits. In this chapter I argue that the science of \emph{quantum computing} illuminates complexity theory by emphasising that its fundamental concepts are not model-independent, but that this does not, as some suggest, force us to radically revise the foundations of the theory. For model-independence (...)
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  • Why Conceptual Engineers Should Not Worry About Topics.Steffen Koch - 2021 - Erkenntnis 88 (5):1-21.
    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 thenormative limitspertaining to the justification of conceptual engineering, as themetaphysical limitspertaining to the identity of the concepts in question, or as theterminological limitspertaining to (...)
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  • Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method.Carlo Cellucci - 2013 - Dordrecht, Netherland: Springer.
    This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without (...)
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  • Conceptual analysis without concepts.Max Deutsch - 2020 - Synthese 198 (11):11125-11157.
    “Conceptual analysis” is a misnomer—it refers, but it does not refer to a method or practice that involves the analysis of concepts. Once this is recognized, many of the main arguments for skepticism about conceptual analysis can be answered, since many of these arguments falsely assume that conceptual analyses target concepts. The present paper defends conceptual analysis from skepticism about its viability and, positively, presents an argument for viewing conceptual analyses as targeting philosophical phenomena, not our concepts of these phenomena.
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  • Keynes, Uncertainty and Interest Rates.Brian Weatherson - 2002 - Cambridge Journal of Economics 26 (1):47-62.
    Uncertainty plays an important role in The General Theory, particularly in the theory of interest rates. Keynes did not provide a theory of uncertainty, but he did make some enlightening remarks about the direction he thought such a theory should take. I argue that some modern innovations in the theory of probability allow us to build a theory which captures these Keynesian insights. If this is the right theory, however, uncertainty cannot carry its weight in Keynes’s arguments. This does not (...)
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  • Inferring probabilities from symmetries.Michael Strevens - 1998 - Noûs 32 (2):231-246.
    This paper justifies the inference of probabilities from symmetries. I supply some examples of important and correct inferences of this variety. Two explanations of such inferences -- an explanation based on the Principle of Indifference and a proposal due to Poincaré and Reichenbach -- are considered and rejected. I conclude with my own account, in which the inferences in question are shown to be warranted a posteriori, provided that they are based on symmetries in the mechanisms of chance setups.
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  • The Principal Principle Does Not Imply the Principle of Indifference.Richard Pettigrew - 2020 - British Journal for the Philosophy of Science 71 (2):605-619.
    In a recent paper in this journal, James Hawthorne, Jürgen Landes, Christian Wallmann, and Jon Williamson argue that the principal principle entails the principle of indifference. In this article, I argue that it does not. Lewis’s version of the principal principle notoriously depends on a notion of admissibility, which Lewis uses to restrict its application. HLWW base their argument on certain intuitions concerning when one proposition is admissible for another: Conditions 1 and 2. There are two ways of reading their (...)
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  • How Degrees of Belief Reflect Evidence.James M. Joyce - 2005 - Philosophical Perspectives 19 (1):153-179.
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  • Realitäten entfalten: Explikationsverständnisse als Grundlage der Begriffsgestaltung.Cyrill Mamin - 2023 - Deutsche Zeitschrift für Philosophie 71 (6):857-888.
    This paper is concerned with the relationship between paradigms of explication and the practice of conceptual engineering. It defends three interrelated claims: First, the predominant functionalist attitude in the present debate on conceptual engineering is due to its roots in Carnapian explication, which identifies the explicandum with a precursor concept. Second, alternative metaphysical paradigms of explication locate the explicandum in a part of a concept-independent reality (‘field explication‘, as I will call it). Third, field explication may be a better paradigm (...)
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  • Species as Explanatory Hypotheses: Refinements and Implications.Kirk Fitzhugh - 2009 - Acta Biotheoretica 57 (1-2):201-248.
    The formal definition of species as explanatory hypotheses presented by Fitzhugh is emended. A species is an explanatory account of the occurrences of the same character among gonochoristic or cross-fertilizing hermaphroditic individuals by way of character origin and subsequent fixation during tokogeny. In addition to species, biological systematics also employs hypotheses that are ontogenetic, tokogenetic, intraspecific, and phylogenetic, each of which provides explanatory hypotheses for distinctly different classes of causal questions. It is suggested that species hypotheses can not be applied (...)
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  • Handbook of Argumentation Theory.Frans H. van Eemeren, Bart Garssen, Erik C. W. Krabbe, A. Francisca Snoeck Henkemans, Bart Verheij & Jean H. M. Wagemans - 2014 - Dordrecht, Netherland: Springer.
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  • Uncertainty, Rationality, and Agency.Wiebe van der Hoek - 2006 - Dordrecht, Netherland: Springer.
    This volume concerns Rational Agents - humans, players in a game, software or institutions - which must decide the proper next action in an atmosphere of partial information and uncertainty. The book collects formal accounts of Uncertainty, Rationality and Agency, and also of their interaction. It will benefit researchers in artificial systems which must gather information, reason about it and then make a rational decision on which action to take.
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  • Hypothesis Testing: How We Foresee Falsification in Competitive Games.Michelle Cowley-Cunningham - 2017 - Saarbrücken, Germany: Lambert Academic Publishing.
    Each day people are presented with circumstances that may require speculation. Scientists may ponder questions such as why a star is born or how rainbows are made, psychologists may ask social questions such as why people are prejudiced, and military strategists may imagine what the consequences of their actions might be. Speculations may lead to the generation of putative explanations called hypotheses. But it is by checking if hypotheses accurately reflect the encountered facts that lead to sensible behaviour demonstrating a (...)
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  • Semantics and Truth.Jan Woleński - 2019 - Cham, Switzerland: Springer Verlag.
    The book provides a historical and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas as well as points out various applications of the semantic theory of truth to philosophical (...)
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  • Who is a Conspiracy Theorist?Melina Tsapos - 2023 - Social Epistemology 38 (4):454-463.
    The simplest and most natural definition of the term ‘conspiracy theory’ leads us to the conclusion that we are all conspiracy theorists. Yet, I claim that most of us would not self-identify as such. In this paper I call this the problem of self-identification. Since virtually everyone emerges as a conspiracy theorist, the term is essentially theoretically fruitless. It would be like defining intelligence in a way that makes everyone intelligent. This raises the problem for theoretical fruitfulness, i.e. the problem (...)
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  • Enciclopédia de Termos Lógico-Filosóficos.João Miguel Biscaia Branquinho, Desidério Murcho & Nelson Gonçalves Gomes (eds.) - 2006 - São Paulo, SP, Brasil: Martins Fontes.
    Esta enciclopédia abrange, de uma forma introdutória mas desejavelmente rigorosa, uma diversidade de conceitos, temas, problemas, argumentos e teorias localizados numa área relativamente recente de estudos, os quais tem sido habitual qualificar como «estudos lógico-filosóficos». De uma forma apropriadamente genérica, e apesar de o território teórico abrangido ser extenso e de contornos por vezes difusos, podemos dizer que na área se investiga um conjunto de questões fundamentais acerca da natureza da linguagem, da mente, da cognição e do raciocínio humanos, bem (...)
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  • The Practical Origins of Ideas: Genealogy as Conceptual Reverse-Engineering (Open Access).Matthieu Queloz - 2021 - Oxford: Oxford University Press.
    Why did such highly abstract ideas as truth, knowledge, or justice become so important to us? What was the point of coming to think in these terms? This book presents a philosophical method designed to answer such questions: the method of pragmatic genealogy. Pragmatic genealogies are partly fictional, partly historical narratives exploring what might have driven us to develop certain ideas in order to discover what these do for us. The book uncovers an under-appreciated tradition of pragmatic genealogy which cuts (...)
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  • Sınıftan Kaçan Çocuk.Ismet Sahin - 2014 - Ankara, Turkey: Praksis.
    8-9 Kasım 2012’de, Hacettepe Üniversitesi İngilizce İktisat Bölümü tarafından düzenlenen “Marx, Marksizmler ve Özgürlük” konferansı uzun zamandır üzerinde çalıştığım konular ile ilgili görüşlerimi sunma fırsatı verdi. Praksis dergisini ilk yayınladığım 1996 yılında aşağıda sunduğum düşüncelerimin temellerini atmıştım aslında. Ancak hala teoride ki sorunu bir bütün olarak, Marx ve Engels’te değil Marksizmin kavranılışında olduğunda ısrarcıydım. Çalışmalarım, Marx’ın tarih, diyalektik yöntem, sınıf savaşımı, kapitalizm eleştirisi ve bilim anlayışı gibi pek çok temel konuda tamamen farklı teorik perspektif ve anlayış geliştirmemle sonuçlandı. Bu görüşlerimi (...)
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  • Inductivism and falsificationism reconcilable.Herman Vetter - 1971 - Synthese 23 (2-3):226 - 233.
    Inductivism is understood as the explication of the degree of confirmation as conditional logical probability. Inductivism is not recommendable in the form of Carnap's λ-system, but tenable in the form of Bayesianism. Objections directed at it are either irrelevant or can be taken account of within Bayesianism.
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  • Peirce, Pedigree, Probability.Rush T. Stewart & Tom F. Sterkenburg - 2022 - Transactions of the Charles S. Peirce Society 58 (2):138-166.
    An aspect of Peirce’s thought that may still be underappreciated is his resistance to what Levi calls _pedigree epistemology_, to the idea that a central focus in epistemology should be the justification of current beliefs. Somewhat more widely appreciated is his rejection of the subjective view of probability. We argue that Peirce’s criticisms of subjectivism, to the extent they grant such a conception of probability is viable at all, revert back to pedigree epistemology. A thoroughgoing rejection of pedigree in the (...)
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  • El concepto de orden jurídico en la teoría de Alchourrón y Bulygin.Hugo R. Zuleta - 2013 - Análisis Filosófico 33 (2):239-248.
    Con el objeto de dar cuenta de la dinámica del derecho, Alchourrón y Bulygin distinguen los conceptos de sistema jurídico y de orden jurídico. El primero hace referencia a un conjunto de enunciados que contiene todas sus consecuencias deductivas, entre las cuales hay normas cuyo contenido son actos coactivos. Se trata de una entidad estática. El orden jurídico, por su parte, es concebido como una secuencia de sistemas jurídicos enlazados por algún criterio de legalidad o validez, y conserva su identidad (...)
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  • Inferentialism, degrees of commitment, and ampliative reasoning.Jesús Zamora Bonilla, Xavier de Donato Rodríguez & Javier González de Prado Salas - 2017 - Synthese 198 (Suppl 4):909-927.
    Our purpose in this paper is to contribute to a practice-based characterization of scientific inference. We want to explore whether Brandom’s pragmatist–inferentialist framework can suitably accommodate several types of ampliative inference common in scientific reasoning and explanation (probabilistic reasoning, abduction and idealisation). First, we argue that Brandom’s view of induction in terms of merely permissive inferences is inadequate; in order to overcome the shortcoming of Brandom’s proposal, we put forward an alternative conception of inductive, probabilistic reasoning by appeal to the (...)
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  • Epistemic Disjunctivism and the Evidential Problem.José Zalabardo - 2015 - Analysis 75 (4):615-627.
    I argue that Epistemic Disjunctivism doesn’t sustain a successful anti-sceptical strategy. I contend, in particular, that the treatment of scepticism that Duncan Pritchard puts forward on behalf of Epistemic Disjunctivism is unsatisfactory.
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  • Ramsey, truth, and probability.S. L. Zabell - 1991 - Theoria 57 (3):211-238.
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  • Open knowledge and changing the subject.Stephen Yablo - 2017 - Philosophical Studies 174 (4):1047-1071.
    Knowledge is closed under implication, according to standard theories. Orthodoxy can allow, though, that apparent counterexamples to closure exist, much as Kripkeans recognize the existence of illusions of possibility which they seek to explain away. Should not everyone, orthodox or not, want to make sense of “intimations of openness”? This paper compares two styles of explanation: evidence that boosts P’s probability need not boost that of its consequence Q; evidence bearing on P’s subject matter may not bear on the subject (...)
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  • How fallacious is the consequence fallacy?Wai-Hung Wong & Zanja Yudell - 2013 - Philosophical Studies 165 (1):221-227.
    Timothy Williamson argues against the tactic of criticizing confidence in a theory by identifying a logical consequence of the theory whose probability is not raised by the evidence. He dubs it “the consequence fallacy”. In this paper, we will show that Williamson’s formulation of the tactic in question is ambiguous. On one reading of Williamson’s formulation, the tactic is indeed a fallacy, but it is not a commonly used tactic; on another reading, it is a commonly used tactic (or at (...)
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  • Łukasiewicz and Popper on Induction.Jan Woleński & Joseph Agassi - 2010 - History and Philosophy of Logic 31 (4):381-388.
    We compare Jan ?ukasiewicz's and Karl Popper's views on induction. The English translation of the two ?ukasiewicz's papers is included in the Appendix.
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  • Metalogical Remarks on Induction.Jan Woleński - 2021 - Axiomathes 31 (6):763-777.
    The problem of induction belongs to the most controversial issues in philosophy of science. If induction is understood widely, it covers every fallible inference, that is, such that its conclusion is not logically entailed by its premises. This paper analyses so-called reductive induction, that is, reasoning in which premises follow from the conclusion, but the reverse relation does not hold. Two issues are taken into account, namely the definition of reductive inference and its justification. The analysis proposed in the paper (...)
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  • A Stochastic Graphs Semantics for Conditionals.Krzysztof Wójtowicz & Anna Wójtowicz - 2019 - Erkenntnis 86 (5):1071-1105.
    We define a semantics for conditionals in terms of stochastic graphs which gives a straightforward and simple method of evaluating the probabilities of conditionals. It seems to be a good and useful method in the cases already discussed in the literature, and it can easily be extended to cover more complex situations. In particular, it allows us to describe several possible interpretations of the conditional and to formalize some intuitively valid but formally incorrect considerations concerning the probabilities of conditionals under (...)
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  • The Epistemic Integrity of Scientific Research.Jan Winter & Laszlo Kosolosky - 2013 - Science and Engineering Ethics 19 (3):757-774.
    We live in a world in which scientific expertise and its epistemic authority become more important. On the other hand, the financial interests in research, which could potentially corrupt science, are increasing. Due to these two tendencies, a concern for the integrity of scientific research becomes increasingly vital. This concern is, however, hollow if we do not have a clear account of research integrity. Therefore, it is important that we explicate this concept. Following Rudolf Carnap’s characterization of the task of (...)
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  • One philosopher's modus ponens is another's modus tollens: Pantomemes and nisowir.Jon Williamson - 2022 - Metaphilosophy 53 (2-3):284-304.
    That one person's modus ponens is another's modus tollens is the bane of philosophy because it strips many philosophical arguments of their persuasive force. The problem is that philosophical arguments become mere pantomemes: arguments that are reasonable to resist simply by denying the conclusion. Appeals to proof, intuition, evidence, and truth fail to alleviate the problem. Two broad strategies, however, do help in certain circumstances: an appeal to normal informal standards of what is reasonable (nisowir) and argument by interpretation. The (...)
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  • Knowledge as evidence.Timothy Williamson - 1997 - Mind 106 (424):1-25.
    It is argued that a subject's evidence consists of all and only the propositions that the subject knows.
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  • Hume’s Defence of Causal Inference.Fred Wilson - 1983 - Dialogue 22 (4):661-694.
    As is well known, the Humean account of causal inference gives a central location to inference habits. Some of these habits one can discipline. Thus, one can so discipline oneself as to reason in accordance with the “rules by which to judge of causes and effects”, that is, one can discipline oneself to think scientifically, rather than, say, in accordance with the rules of prejudice, or of superstition. All such judgments, even those of science, are, however, upon the Humean account (...)
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  • Direct inference and probabilistic accounts of induction.Jon Williamson - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (3):451-472.
    Schurz (2019, ch. 4) argues that probabilistic accounts of induction fail. In particular, he criticises probabilistic accounts of induction that appeal to direct inference principles, including subjective Bayesian approaches (e.g., Howson 2000) and objective Bayesian approaches (see, e.g., Williamson 2017). In this paper, I argue that Schurz’ preferred direct inference principle, namely Reichenbach’s Principle of the Narrowest Reference Class, faces formidable problems in a standard probabilistic setting. Furthermore, the main alternative direct inference principle, Lewis’ Principal Principle, is also hard to (...)
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  • Bayesianism and language change.Jon Williamson - 2003 - Journal of Logic, Language and Information 12 (1):53-97.
    Bayesian probability is normally defined over a fixed language or eventspace. But in practice language is susceptible to change, and thequestion naturally arises as to how Bayesian degrees of belief shouldchange as language changes. I argue here that this question poses aserious challenge to Bayesianism. The Bayesian may be able to meet thischallenge however, and I outline a practical method for changing degreesof belief over changes in finite propositional languages.
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  • Williamson on justification.Dennis Whitcomb - 2008 - Philosophical Studies 138 (2):161 - 168.
    Timothy Williamson has a marvelously precise account of epistemic justification in terms of knowledge and probability. I argue that the account runs aground on certain cases involving the probability values 0 and 1.
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  • Introduction.Kenneth R. Westphal & Mark Addis - 2020 - SATS 20 (2):79-87.
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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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  • Educational Responsibilities of Philosophers – SATS Special Issue: Introduction.Kenneth R. Westphal - 2023 - SATS 24 (1):1-12.
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  • Crowdsourced science: sociotechnical epistemology in the e-research paradigm.David Watson & Luciano Floridi - 2018 - Synthese 195 (2):741-764.
    Recent years have seen a surge in online collaboration between experts and amateurs on scientific research. In this article, we analyse the epistemological implications of these crowdsourced projects, with a focus on Zooniverse, the world’s largest citizen science web portal. We use quantitative methods to evaluate the platform’s success in producing large volumes of observation statements and high impact scientific discoveries relative to more conventional means of data processing. Through empirical evidence, Bayesian reasoning, and conceptual analysis, we show how information (...)
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  • A new view of scientific rationality.John Watkins - 1987 - Revue de Synthèse 108 (3-4):455-473.
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  • The Independence Solution to Grue.Jared Warren - 2023 - Philosophical Studies 180 (4):1305-1326.
    The paper presents a comprehensive solution to the new riddle of induction. Gruesome induction is blocked because “grue” is not independent of our sampling and observation methods. Before presenting my theory, I critically survey previous versions of what I call the “independence strategy”, tracing the strategy to three different papers from the 1970s by (respectively) Wilkerson, Moreland, and Jackson. Next I critically examine recent approaches by Okasha, Godfrey-Smith, Schramm, and Freitag. All of these approaches have their virtues, but none of (...)
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  • Varieties of modal (classificatory) and comparative probability.Peter Walley & Terrence L. Fine - 1979 - Synthese 41 (3):321 - 374.
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  • Admissibility Troubles for Bayesian Direct Inference Principles.Christian Wallmann & James Hawthorne - 2020 - Erkenntnis 85 (4):957-993.
    Direct inferences identify certain probabilistic credences or confirmation-function-likelihoods with values of objective chances or relative frequencies. The best known version of a direct inference principle is David Lewis’s Principal Principle. Certain kinds of statements undermine direct inferences. Lewis calls such statements inadmissible. We show that on any Bayesian account of direct inference several kinds of intuitively innocent statements turn out to be inadmissible. This may pose a significant challenge to Bayesian accounts of direct inference. We suggest some ways in which (...)
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  • Objectivity and orgasm: the perils of imprecise definitions.Samantha Wakil - 2020 - Synthese 199 (1-2):2315-2333.
    Lloyd analyzes every proposed evolutionary explanation of female orgasm and argues that all but one suffers from serious evidential errors. Lloyd attributes these errors to two main biases: androcentrism and adaptationism. This paper begins by arguing that the explanation Lloyd favors—the by-product account—is guilty of the androcentrism which supposedly implicates the other explanations of female orgasm with numerous evidential discrepancies. This suggests that there is another error afflicting orgasm research in addition to the biases Lloyd identities. I attempt to diagnose (...)
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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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