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What The Tortoise Said To Achilles

Mind 104 (416):691-693 (1895)

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  1. Logicism as Making Arithmetic Explicit.Vojtěch Kolman - 2015 - Erkenntnis 80 (3):487-503.
    This paper aims to shed light on the broader significance of Frege’s logicism against the background of discussing and comparing Wittgenstein’s ‘showing/saying’-distinction with Brandom’s idiom of logic as the enterprise of making the implicit rules of our linguistic practices explicit. The main thesis of this paper is that the problem of Frege’s logicism lies deeper than in its inconsistency : it lies in the basic idea that in arithmetic one can, and should, express everything that is implicitly presupposed so that (...)
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  • Circularity in soundness and completeness.Richard Kaye - 2014 - Bulletin of Symbolic Logic 20 (1):24-38.
    We raise an issue of circularity in the argument for the completeness of first-order logic. An analysis of the problem sheds light on the development of mathematics, and suggests other possible directions for foundational research.
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  • Breve consideração sobre intertícios de Trevas gregas.Imaculada Kangussu - 2004 - Revista de Filosofia Aurora 16 (19):85.
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  • Reasoning and representing.Mark Eli Kalderon - 2001 - Philosophical Studies 105 (2):129-160.
    I argue that logical understanding is not propositional knowledgebut is rather a species of practical knowledge. I further arguethat given the best explanation of logical understanding someversion or another of inferential role semantics must be the correct account of the determinants of logical content.
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  • Explanation by computer simulation in cognitive science.Jordi Fernández - 2003 - Minds and Machines 13 (2):269-284.
    My purpose in this essay is to clarify the notion of explanation by computer simulation in artificial intelligence and cognitive science. My contention is that computer simulation may be understood as providing two different kinds of explanation, which makes the notion of explanation by computer simulation ambiguous. In order to show this, I shall draw a distinction between two possible ways of understanding the notion of simulation, depending on how one views the relation in which a computing system that performs (...)
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  • The Structure of Bias.Gabbrielle M. Johnson - 2020 - Mind 129 (516):1193-1236.
    What is a bias? Standard philosophical views of both implicit and explicit bias focus this question on the representations one harbours, for example, stereotypes or implicit attitudes, rather than the ways in which those representations are manipulated. I call this approach representationalism. In this paper, I argue that representationalism taken as a general theory of psychological social bias is a mistake, because it conceptualizes bias in ways that do not fully capture the phenomenon. Crucially, this view fails to capture a (...)
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  • Understanding Understanding: An Epistemological Investigation.Mikael Janvid - 2014 - Philosophia 42 (4):971-985.
    Understanding has received growing interest from epistemologists in recent years, but no consensus regarding its epistemic properties has yet been reached. This paper extracts, but also rejects, candidates of epistemic properties for construing an epistemological model of understanding from the writings of epistemologists participating in the current discussion surrounding that state. On the basis of these results, a suggestion is put forward according to which understanding is a non-basic epistemic state of warrant rather than knowledge. It is argued that this (...)
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  • Reasoning as a source of justification.Magdalena Balcerak Jackson & Brendan Balcerak Jackson - 2013 - Philosophical Studies 164 (1):113-126.
    In this essay we argue that reasoning can sometimes generate epistemic justification, rather than merely transmitting justification that the subject already possesses to new beliefs. We also suggest a way to account for it in terms of the relationship between epistemic normative requirements, justification and cognitive capacities.
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  • Mathematical Proof and Discovery Reductio ad Absurdum.Dale Jacquette - 2008 - Informal Logic 28 (3):242-261.
    The uses and interpretation of reductio ad absurdum argumentation in mathematical proof and discovery are examined, illustrated with elementary and progressively sophisticated examples, and explained. Against Arthur Schopenhauer’s objections, reductio reasoning is defended as a method of uncovering new mathematical truths, and not merely of confirming independently grasped mathematical intuitions. The application of reductio argument is contrasted with purely mechanical brute algorithmic inferences as an art requiring skill and intelligent intervention in the choice of hypotheses and attribution of contradictions deduced (...)
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  • You ought to have known: positive epistemic norms in a knowledge-first framework.Jonathan Jenkins Ichikawa - 2022 - Synthese 200 (5):1-23.
    There are two central kinds of epistemological mistakes: believing things you shouldn’t, and failing to believe things that you should. The knowledge-first program offers a canonical explanation for the former: if you believe something without knowing it, you violate the norm to believe only that which you know. But the explanation does not extend in any plausible way to a story about what’s wrong with suspending judgment when one ought to believe. In this paper I explore prospects for a knowledge-centering (...)
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  • Russell's substitutional theory.Peter Hylton - 1980 - Synthese 45 (1):1 - 31.
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  • There Is No Pure Empirical Reasoning.Michael Huemer - 2017 - Philosophy and Phenomenological Research 95 (3):592-613.
    The justificatory force of empirical reasoning always depends upon the existence of some synthetic, a priori justification. The reasoner must begin with justified, substantive constraints on both the prior probability of the conclusion and certain conditional probabilities; otherwise, all possible degrees of belief in the conclusion are left open given the premises. Such constraints cannot in general be empirically justified, on pain of infinite regress. Nor does subjective Bayesianism offer a way out for the empiricist. Despite often-cited convergence theorems, subjective (...)
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  • The guise of good reason.Ulf Hlobil - 2021 - Philosophical Explorations 24 (2):204-224.
    The paper argues for a version of the Guise of the Good thesis, namely the claim that if someone acts as the result of practical reasoning, then she takes her premises to jointly provide a sufficient and undefeated reason for her action. I argue for this by showing, first, that it is an application of Boghossian's Taking Condition on inference to practical reasoning and, second, that the motivations for the Taking Condition for theoretical reasoning carry over to practical reasoning. I (...)
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  • Foot Without Achilles’ Heel.Ulf Hlobil & Katharina Nieswandt - 2019 - Philosophia 47 (5):1501-1515.
    It is often assumed that neo-Aristotelian virtue ethics postulates an obligation to be a good human being and that it derives further obligations from this idea. The paper argues that this assumption is false, at least for Philippa Foot’s view. Our argument blocks a widespread objection to Foot’s view, and it shows how virtue ethics in general can neutralize such worries.
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  • Does the Traditional Treatment of Enthymemes Rest on a Mistake?David Hitchcock - 1998 - Argumentation 12 (1):15-37.
    In many actual arguments, the conclusion seems intuitively to follow from the premisses, even though we cannot show that it follows logically. The traditional approach to evaluating such arguments is to suppose that they have an unstated premiss whose explicit addition will produce an argument where the conclusion does follow logically. But there are good reasons for doubting that people so frequently leave the premisses of their arguments unstated. The inclination to suppose that they do stems from the belief that (...)
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  • Hawthorne’s Lottery Puzzle and the Nature of Belief.Christopher S. Hill & Joshua Schechter - 2007 - Philosophical Issues 17 (1):120-122.
    In the first chapter of his Knowledge and Lotteries, John Hawthorne argues that thinkers do not ordinarily know lottery propositions. His arguments depend on claims about the intimate connections between knowledge and assertion, epistemic possibility, practical reasoning, and theoretical reasoning. In this paper, we cast doubt on the proposed connections. We also put forward an alternative picture of belief and reasoning. In particular, we argue that assertion is governed by a Gricean constraint that makes no reference to knowledge, and that (...)
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  • Solving Frege's puzzle.Richard Heck - 2012 - Journal of Philosophy 109 (1-2):728-732.
    So-called 'Frege cases' pose a challenge for anyone who would hope to treat the contents of beliefs (and similar mental states) as Russellian propositions: It is then impossible to explain people's behavior in Frege cases without invoking non-intentional features of their mental states, and doing that seems to undermine the intentionality of psychological explanation. In the present paper, I develop this sort of objection in what seems to me to be its strongest form, but then offer a response to it. (...)
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  • Ontological Solutions to the Problem of Induction.Mohammad Mahdi Hatef - 2022 - Logos and Episteme 13 (1):65-74.
    The idea of the uniformity of nature, as a solution to the problem of induction, has at least two contemporary versions: natural kinds and natural necessity. Then there are at least three alternative ontological ideas addressing the problem of induction. In this paper, I articulate how these ideas are used to justify the practice of inductive inference, and compare them, in terms of their applicability, to see whether each of them is preferred in addressing the problem of induction. Given the (...)
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  • Hilary Putnam on the End of Argument.Leo Groarke & Louis Groarke - 2002 - Philosophica 69 (1):41-60.
    We argue that Hilary Putnam's pragmatism provides an epistemological perspective which can help us understand--and can positively inform--the development of informal logic.
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  • Wisdom.Stephen R. Grimm - 2015 - Australasian Journal of Philosophy 93 (1):1-16.
    What is it that makes someone wise, or one person wiser than another? I argue that wisdom consists in knowledge of how to live well, and that this knowledge of how to live well is constituted by various further kinds of knowledge. One concern for this view is that knowledge is not needed for wisdom but rather some state short of knowledge, such as having rational or justified beliefs about various topics. Another concern is that the emphasis on knowing how (...)
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  • Brandom and the brutes.Nicholas Griffin - 2018 - Synthese 195 (12):5521-5547.
    Brandom’s inferentialism offers, in many ways, a radically new approach to old issues in semantics and the theory of intentionality. But, in one respect at least, it clings tenaciously to the mainstream philosophical tradition of the middle years of the twentieth century. Against the theory’s natural tendencies, Brandom aligns it with the ’linguistic turn’ that philosophy took in the middle of the last century by insisting, in the face of considerable opposing evidence, that intentionality is the preserve of those who (...)
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  • Are "Gap-Fillers" Missing Premisses?Wayne Grennan - 1994 - Informal Logic 16 (3).
    Identifying the missing or unstated premisses of arguments is important, because their logical quality depends on them. Textbook authors regard enthymematic syllogisms (e.g., "Elvis is a man, so Elvis is mortal") as having an unstated premiss - the major premiss (e.g., "All men are mortal"). They are said to be such because these syllogisms become formally valid when the major premiss is added (i.e., it is a gap-filler). I argue that unstated major premises are not gap-fillers: they support a part (...)
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  • A New–old Characterisation of Logical Knowledge.Ivor Grattan-Guinness - 2012 - History and Philosophy of Logic 33 (3):245 - 290.
    We seek means of distinguishing logical knowledge from other kinds of knowledge, especially mathematics. The attempt is restricted to classical two-valued logic and assumes that the basic notion in logic is the proposition. First, we explain the distinction between the parts and the moments of a whole, and theories of ?sortal terms?, two theories that will feature prominently. Second, we propose that logic comprises four ?momental sectors?: the propositional and the functional calculi, the calculus of asserted propositions, and rules for (...)
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  • The relation between epistemology and psychology.Alvin I. Goldman - 1985 - Synthese 64 (1):29-68.
    In the wake of Frege's attack on psychologism and the subsequent influence of Logical Positivism, psychological considerations in philosophy came to be viewed with suspicion. Philosophical questions, especially epistemological ones, were viewed as 'logical' questions, and logic was sharply separated from psychology. Various efforts have been made of late to reconnect epistemology with psychology. But there is little agreement about how such connections should be made, and doubts about the place of psychology within epistemology are still much in evidence. It (...)
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  • Logic and reasoning.Laurence Goldstein - 1988 - Erkenntnis 28 (3):297 - 320.
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  • How original a work is the tractatus logico-philosophicus?Laurence Goldstein - 2002 - Philosophy 77 (3):421-446.
    Wittgenstein's Tractatus is widely regarded as a masterpiece, a brilliant, if flawed attempt to achieve an ‘unassailable and definitive … final solution’ to a wide range of philosophical problems. Yet, in a 1931 notebook, Wittgenstein confesses: ‘I think there is some truth in my idea that I am really only reproductive in my thinking. I think I have never invented a line of thinking but that it was always provided for me by someone else’. This disarming self-assessment is, I believe (...)
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  • A priori warrant and naturalistic epistemology: The seventh Philosophical Perspectives lecture.Alvin I. Goldman - 1999 - Philosophical Perspectives 13:1-28.
    Epistemology has recently witnessed a number of efforts to rehabilitate rationalism, to defend the existence and importance of a priori knowledge or warrant construed as the product of rational insight or apprehension (Bealer 1987; Bigelow 1992; BonJour 1992, 1998; Burge 1998; Butchvarov 1970; Katz 1998; Plantinga 1993). This effort has sometimes been coupled with an attack on naturalistic epistemology, especially in BonJour 1994 and Katz 1998. Such coupling is not surprising, because naturalistic epistemology is often associated with thoroughgoing empiricism and (...)
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  • Introspecting knowledge.John Gibbons - 2019 - Philosophical Studies 176 (2):559-579.
    If we use “introspection” just as a label for that essentially first-person way we have of knowing about our own mental states, then it’s pretty obvious that if there is such a thing as introspection, we know on that basis what we believe, and want, and intend, at least in many ordinary cases. I assume there is such a thing as introspection. So I think the hard question is how it works. But can you know that you know on the (...)
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  • Understanding, Integration, and Epistemic Value.Georgi Gardiner - 2012 - Acta Analytica 27 (2):163-181.
    Understanding enjoys a special kind of value, one not held by lesser epistemic states such as knowledge and true belief. I explain the value of understanding via a seemingly unrelated topic, the implausibility of veritism. Veritism holds that true belief is the sole ultimate epistemic good and all other epistemic goods derive their value from the epistemic value of true belief. Veritism entails that if you have a true belief that p, you have all the epistemic good qua p. Veritism (...)
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  • Aplicación y adopción de reglas lógicas.Camila Gallovich - 2022 - Análisis Filosófico 42 (1):105-125.
    El excepcionalismo de la lógica asume que la lógica tiene un estatus epistemológico privilegiado, es normativa y no es revisable. El antiexcepcionalismo, en cambio, rechaza ese carácter excepcional. Recientemente, se ha sugerido que el problema de la adopción de reglas lógicas es transversal a la discusión que se da entre excepcionalistas y antiexcepcionalistas. En este trabajo defiendo la tesis contraria. En particular, sostengo que, si el problema de la adopción de reglas es un problema central para la lógica como disciplina, (...)
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  • A subjectivist’s guide to deterministic chance.J. Dmitri Gallow - 2021 - Synthese 198 (5):4339-4372.
    I present an account of deterministic chance which builds upon the physico-mathematical approach to theorizing about deterministic chance known as 'the method of arbitrary functions'. This approach promisingly yields deterministic probabilities which align with what we take the chances to be---it tells us that there is approximately a 1/2 probability of a spun roulette wheel stopping on black, and approximately a 1/2 probability of a flipped coin landing heads up---but it requires some probabilistic materials to work with. I contend that (...)
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  • Non-Boolean classical relevant logics II: Classicality through truth-constants.Tore Fjetland Øgaard - 2021 - Synthese (3-4):1-33.
    This paper gives an account of Anderson and Belnap’s selection criteria for an adequate theory of entailment. The criteria are grouped into three categories: criteria pertaining to modality, those pertaining to relevance, and those related to expressive strength. The leitmotif of both this paper and its prequel is the relevant legitimacy of disjunctive syllogism. Relevant logics are commonly held to be paraconsistent logics. It is shown in this paper, however, that both E and R can be extended to explosive logics (...)
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  • A dialogical route to logical pluralism.Rohan French - 2019 - Synthese 198 (Suppl 20):4969-4989.
    This paper argues that adopting a particular dialogical account of logical consequence quite directly gives rise to an interesting form of logical pluralism, the form of pluralism in question arising out of the requirement that deductive proofs be explanatory.
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  • The Realm of the Sacred, Wherein We May Not Draw an Inference from Something which Itself Has Been Inferred: A Reading of Talmud Bavli Zevachim Folio 50.Curtis Franks - 2012 - History and Philosophy of Logic 33 (1):69 - 86.
    The exegesis of sacred rites in the Talmud is subject to a restriction on the iteration and composition of inference rules. In order to determine the scope and limits of that restriction, the sages of the Talmud deploy those very same inference rules. We present the remarkable features of this early use of self-reference to navigate logical constraints and uncover the hidden complexity behind the sages? arguments. Appendix 11 contains a translation of the relevant sugya. 1Hebrew and Aramaic transliteration approximates (...)
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  • Belief and the Error Theory.Andrew T. Forcehimes & Robert B. Talisse - 2016 - Ethical Theory and Moral Practice 19 (4):849-856.
    A new kind of debate about the normative error theory has emerged. Whereas longstanding debates have fixed on the error theory’s plausibility, this new debate concerns the theory’s believability. Bart Streumer is the chief proponent of the error theory’s unbelievability. In this brief essay, we argue that Streumer’s argument prevails against extant critiques, and then press a criticism of our own.
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  • Chains of Life: Turing, Lebensform, and the Emergence of Wittgenstein’s Later Style.Juliet Floyd - 2016 - Nordic Wittgenstein Review 5 (2):7-89.
    This essay accounts for the notion of _Lebensform_ by assigning it a _logical _role in Wittgenstein’s later philosophy. Wittgenstein’s additions of the notion to his manuscripts of the _PI_ occurred during the initial drafting of the book 1936-7, after he abandoned his effort to revise _The Brown Book_. It is argued that this constituted a substantive step forward in his attitude toward the notion of simplicity as it figures within the notion of logical analysis. Next, a reconstruction of his later (...)
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  • The Adoption Problem and Anti-Exceptionalism about Logic.Suki Finn - 2019 - Australasian Journal of Logic 16 (7):231.
    Anti-exceptionalism about logic takes logic to be, as the name suggests, unexceptional. Rather, in naturalist fashion, the anti-exceptionalist takes logic to be continuous with science, and considers logical theories to be adoptable and revisable accordingly. On the other hand, the Adoption Problem aims to show that there is something special about logic that sets it apart from scientific theories, such that it cannot be adopted in the way the anti-exceptionalist proposes. In this paper I assess the damage the Adoption Problem (...)
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  • Limiting logical pluralism.Suki Finn - 2019 - Synthese 198 (Suppl 20):4905-4923.
    In this paper I argue that pluralism at the level of logical systems requires a certain monism at the meta-logical level, and so, in a sense, there cannot be pluralism all the way down. The adequate alternative logical systems bottom out in a shared basic meta-logic, and as such, logical pluralism is limited. I argue that the content of this basic meta-logic must include the analogue of logical rules Modus Ponens and Universal Instantiation. I show this through a detailed analysis (...)
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  • On the Notion of Object. A Logical Genealogy.Fernando Ferreira - 2012 - Disputatio 4 (34):609-624.
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  • Modest Infinitism.Jeremy Fantl - 2003 - Canadian Journal of Philosophy 33 (4):537 - 562.
    Modest Infinitism -/- Jeremy Fantl -/- Abstract -/- Infinitism, a theory of justification most recently developed and defended by Peter Klein, is the view that justification is a matter of having an infinite series of non-repeating reasons for a proposition. I argue that infinitism is preferable to other theories (like foundationalism) in that only infinitism can plausibly account for two important features of justification: 1) that it admits of degrees and 2) that a concept of complete justification makes sense.
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  • The universality of logic: On the connection between rationality and logical ability.Simon J. Evnine - 2001 - Mind 110 (438):335-367.
    I argue for the thesis (UL) that there are certain logical abilities that any rational creature must have. Opposition to UL comes from naturalized epistemologists who hold that it is a purely empirical question which logical abilities a rational creature has. I provide arguments that any creatures meeting certain conditions—plausible necessary conditions on rationality—must have certain specific logical concepts and be able to use them in certain specific ways. For example, I argue that any creature able to grasp theories must (...)
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  • How Are Basic Belief-Forming Methods Justified?David Enoch & Joshua Schechter - 2008 - Philosophy and Phenomenological Research 76 (3):547–579.
    In this paper, we develop an account of the justification thinkers have for employing certain basic belief-forming methods. The guiding idea is inspired by Reichenbach's work on induction. There are certain projects in which thinkers are rationally required to engage. Thinkers are epistemically justified in employing any belief-forming method such that "if it doesn't work, nothing will" for successfully engaging in such a project. We present a detailed account based on this intuitive thought and address objections to it. We conclude (...)
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  • Logical reasons.Pascal Engel - 2005 - Philosophical Explorations 8 (1):21 – 38.
    Simon Blackburn has shown that there is an analogy between the problem of moral motivation in ethics (how can moral reasons move us?) and the problem of what we might call the power of logical reasons (how can logical reasons move us, what is the force of the 'logical must?'). In this paper, I explore further the parallel between the internalism problem in ethics and the problem of the power of logical reasons, and defend a version of psychologism about reasons, (...)
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  • Epistemic responsibility without epistemic agency.Pascal Engel - 2009 - Philosophical Explorations 12 (2):205 – 219.
    This article discusses the arguments against associating epistemic responsibility with the ordinary notion of agency. I examine the various 'Kantian' views which lead to a distinctive conception of epistemic agency and epistemic responsibility. I try to explain why we can be held responsible for our beliefs in the sense of obeying norms which regulate them without being epistemic agents.
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  • The Persuasive Use of Emotions.Jamie Dow - 2019 - Royal Institute of Philosophy Supplement 85:211-236.
    The rhetorical power of emotions came to philosophers’ attention early on in the Western tradition: emotions can exert a powerful effect on what an audience comes to believe or decides to do. It is has been surprisingly neglected since, despite abundant philosophical literature on the emotions. This paper focuses on the mechanisms and propriety of emotional persuasion. Our central focus is an apparent tension between two claims. Persuasion should succeed by getting people convinced on grounds that contribute to justifying their (...)
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  • Reasoning Without Blinders: A Reply to Valaris.Sinan Dogramaci - 2016 - Mind 125 (499):889-893.
    I object to Markos Valaris’s thesis that reasoning requires a belief that your conclusion follows from your premisses. My counter-examples highlight the important but neglected role of suppositional reasoning in the basis of so much of what we know.
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  • Intuitions in linguistics.Michael Devitt - 2006 - British Journal for the Philosophy of Science 57 (3):481-513.
    Linguists take the intuitive judgments of speakers to be good evidence for a grammar. Why? The Chomskian answer is that they are derived by a rational process from a representation of linguistic rules in the language faculty. The paper takes a different view. It argues for a naturalistic and non-Cartesian view of intuitions in general. They are empirical central-processor responses to phenomena differing from other such responses only in being immediate and fairly unreflective. Applying this to linguistic intuitions yields an (...)
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  • Changing Our Logic: A Quinean Perspective.Michael Devitt & Jillian Rose Roberts - 2024 - Mind 133 (529):61-85.
    Can we change our logic and if so how? In ‘The Question of Logic’ (this volume), Saul Kripke takes a certain message about this from Lewis Carroll’s famous pape.
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  • Infinte Regress Arguments.Claude Gratton - 2009 - Dordrecht, Netherland: Springer.
    Infinite regress arguments are part of a philosopher's tool kit of argumentation. But how sharp or strong is this tool? How effectively is it used? The typical presentation of infinite regress arguments throughout history is so succinct and has so many gaps that it is often unclear how an infinite regress is derived, and why an infinite regress is logically problematic, and as a result, it is often difficult to evaluate infinite regress arguments. These consequences of our customary way of (...)
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  • The Nature of Truth.M. J. Frapolli - 2013 - Springer.
    The book offers a proposal on how to define truth in all its complexity, without reductionism, showing at the same time which questions a theory of truth has to answer and which questions, although related to truth, do not belong within the scope of such a theory. Just like any other theory, a theory of truth has its structure and limits. The semantic core of the position is that truth-ascriptions are pro-forms, i.e. natural language propositional variables. The book also offers (...)
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