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What The Tortoise Said To Achilles

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

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  1. Bilateralism and Probabilism.Mariela Rubin - 2022 - Análisis Filosófico 42 (1):5-29.
    The aim of this paper is to provide a philosophical interpretation of bilateralism in terms of probabilism. In particular, to interpret the main concepts of bilateralism –acceptance, rejection and incoherence– in terms of the probabilistic notions of degree of belief and coherence. According to bilateralism, the meaning of logical connectives is determined by the acceptance and rejection conditions of the sentences in which they are involved, where acceptance and rejection cannot be reduced to one another. I will focus on a (...)
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  • Mind, body, and world: Todes and McDowell on bodies and language.Joseph Rouse - 2005 - Inquiry: An Interdisciplinary Journal of Philosophy 48 (1):38-61.
    Dreyfus presents Todes's (2001) republished Body and World as an anticipatory response to McDowell (1994) which shows how preconceptual perception can ground conceptual thought. I argue that Dreyfus is mistaken on this point: Todes's claim that perceptual experience is preconceptual presupposes an untenable account of conceptual thought. I then show that Todes nevertheless makes two important contributions to McDowell's project. First, he develops an account of perception as bodily second nature, and as a practical-perceptual openness to the world, which constructively (...)
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  • Reasoning without regress.Luis Rosa - 2019 - Synthese 196 (6):2263-2278.
    In this paper I explore alternative ways of addressing the infinite regress problem of inference, as it was depicted in Lewis Carroll’s ‘What the Tortoise said to Achilles’. Roughly put, the problem is that if a claim to the effect that one’s premises give support to one’s conclusion must itself be part of one’s premises, then an infinite regress of reasons ensues. I discuss some recent attempts to solve that problem, but I find all of them to be wanting. Those (...)
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  • A Pragmatic Justification of Deduction.Melanie Rosen - 2009 - Kritike 3 (1):155-167.
    I will attempt to draw analogies between the problems of inductionand problems of deduction with Carroll’s paradox and Susan Haack’sarguments. These analogies either strengthen a justification of induction by showing that deduction faces similar problems, or weaken our justification of deduction by showing it is not entirely justified. I will show that although deduction does face similar problems any justification that can work for induction will also be applicable to deduction, but not vice versa. Finally, I will show that Reichenbach’s (...)
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  • Agnosticism as a third stance.Sven Rosenkranz - 2007 - Mind 116 (461):55-104.
    Within certain philosophical debates, most notably those concerning the limits of our knowledge, agnosticism seems a plausible, and potentially the right, stance to take. Yet, in order to qualify as a proper stance, and not just the refusal to adopt any, agnosticism must be shown to be in opposition to both endorsement and denial and to be answerable to future evidence. This paper explicates and defends the thesis that agnosticism may indeed define such a third stance that is weaker than (...)
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  • Revisando los límites del problema de la adopción.Rocio Roitman & Adriana Marrero - 2022 - Análisis Filosófico 42 (1):127-143.
    El objetivo del presente trabajo es evaluar si el problema de la adopción supone un obstáculo real para la revisión de la lógica. En este marco, defendemos una posición antiexcepcionalista de la lógica y examinamos la posibilidad de modificar las prácticas inferenciales a raíz de una modificación en la teoría lógica. Aun cediendo el punto central del problema, argumentamos que no solo puede salvaguardarse la posibilidad de modificar racionalmente nuestra teoría lógica, sino también la de razonar deductivamente siguiendo nuevos patrones (...)
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  • What are we to accept, and what are we to reject, while saving truth from paradox? [REVIEW]Greg Restall - 2010 - Philosophical Studies 147 (3):433 - 443.
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  • Fodor’s riddle of abduction.Matthew J. Rellihan - 2009 - Philosophical Studies 144 (2):313 - 338.
    How can abductive reasoning be physical, feasible, and reliable? This is Fodor’s riddle of abduction, and its apparent intractability is the cause of Fodor’s recent pessimism regarding the prospects for cognitive science. I argue that this riddle can be solved if we augment the computational theory of mind to allow for non-computational mental processes, such as those posited by classical associationists and contemporary connectionists. The resulting hybrid theory appeals to computational mechanisms to explain the semantic coherence of inference and associative (...)
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  • Meaning in time: on temporal externalism and Kripkenstein’s skeptical challenge.Jaakko Reinikainen - 2022 - Synthese 200 (288):1-27.
    The main question of metasemantics, or foundational semantics, is why an expression token has the meaning (semantic value) that it in fact has. In his reading of Ludwig Wittgenstein’s later work, Saul Kripke presented a skeptical challenge that threatened to make the foundational question unanswerable. My first contention in this paper is that the skeptical challenge indeed poses an insoluble paradox, but only for a certain kind of metasemantic theory, against which the challenge effectively works as a reductio ad absurdum (...)
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  • Language of Physics, Language of Math: Disciplinary Culture and Dynamic Epistemology.Edward F. Redish & Eric Kuo - 2015 - Science & Education 24 (5-6):561-590.
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  • Holism, conceptual-role semantics, and syntactic semantics.William J. Rapaport - 2002 - Minds and Machines 12 (1):3-59.
    This essay continues my investigation of `syntactic semantics': the theory that, pace Searle's Chinese-Room Argument, syntax does suffice for semantics (in particular, for the semantics needed for a computational cognitive theory of natural-language understanding). Here, I argue that syntactic semantics (which is internal and first-person) is what has been called a conceptual-role semantics: The meaning of any expression is the role that it plays in the complete system of expressions. Such a `narrow', conceptual-role semantics is the appropriate sort of semantics (...)
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  • Well Founding Grounding Grounding.Gabriel Oak Rabin & Brian Rabern - 2016 - Journal of Philosophical Logic 45 (4):349-379.
    Those who wish to claim that all facts about grounding are themselves grounded (“the meta-grounding thesis”) must defend against the charge that such a claim leads to infinite regress and violates the well-foundedness of ground. In this paper, we defend. First, we explore three distinct but related notions of “well-founded”, which are often conflated, and three corresponding notions of infinite regress. We explore the entailment relations between these notions. We conclude that the meta-grounding thesis need not lead to tension with (...)
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  • Inferential Transitions.Jake Quilty-Dunn & Eric Mandelbaum - 2018 - Australasian Journal of Philosophy 96 (3):532-547.
    ABSTRACTThis paper provides a naturalistic account of inference. We posit that the core of inference is constituted by bare inferential transitions, transitions between discursive mental representations guided by rules built into the architecture of cognitive systems. In further developing the concept of BITs, we provide an account of what Boghossian [2014] calls ‘taking’—that is, the appreciation of the rule that guides an inferential transition. We argue that BITs are sufficient for implicit taking, and then, to analyse explicit taking, we posit (...)
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  • What If? The Exploration of an Idea.Graham Priest - 2017 - Australasian Journal of Logic 14 (1).
    A crucial question here is what, exactly, the conditional in the naive truth/set comprehension principles is. In 'Logic of Paradox', I outlined two options. One is to take it to be the material conditional of the extensional paraconsistent logic LP. Call this "Strategy 1". LP is a relatively weak logic, however. In particular, the material conditional does not detach. The other strategy is to take it to be some detachable conditional. Call this "Strategy 2". The aim of the present essay (...)
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  • Lessons from pseudo scotus.Graham Priest & Richard Routley - 1982 - Philosophical Studies 42 (2):189 - 199.
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  • The Humean problem of induction and Carroll’s Paradox.Manuel Pérez Otero - 2008 - Philosophical Studies 141 (3):357-376.
    Hume argued that inductive inferences do not have rational justification. My aim is to reject Hume's argument. The discussion is partly motivated by an analogy with Carroll's Paradox, which concerns deductive inferences. A first radically externalist reply to Hume is that justified inductive inferences do not require the subject to know that nature is uniform, though the uniformity of nature is necessary condition for having the justification. But then the subject does not have reasons for believing what she believes. I (...)
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  • Presumptions, Assumptions, and Presuppositions of Ordinary Arguments.Gilbert Plumer - 2017 - Argumentation 31 (3):469-484.
    Although in some contexts the notions of an ordinary argument’s presumption, assumption, and presupposition appear to merge into the one concept of an implicit premise, there are important differences between these three notions. It is argued that assumption and presupposition, but not presumption, are basic logical notions. A presupposition of an argument is best understood as pertaining to a propositional element (a premise or the conclusion) e of the argument, such that the presupposition is a necessary condition for the truth (...)
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  • Carroll’s Regress and the Epistemology of Logic.Patrice Philie - 2007 - Philosophical Studies 134 (2):183 - 210.
    On an internalist account of logical inference, we are warranted in drawing conclusions from accepted premises on the basis of our knowledge of logical laws. Lewis Carroll’s regress challenges internalism by purporting to show that this kind of warrant cannot ground the move from premises to conclusion. Carroll’s regress vindicates a repudiation of internalism and leads to the espousal of a standpoint that regards our inferential practice as not being grounded on our knowledge of logical laws. Such a standpoint can (...)
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  • Carroll’s Regress and the Epistemology of Logic.Patrice Philie - 2007 - Philosophical Studies 134 (2):183-210.
    On an internalist account of logical inference, we are warranted in drawing conclusions from accepted premises on the basis of our knowledge of logical laws. Lewis Carroll's regress challenges internalism by purporting to show that this kind of warrant cannot ground the move from premises to conclusion. Carroll's regress vindicates a repudiation of internalism and leads to the espousal of a standpoint that regards our inferential practice as not being grounded on our knowledge of logical laws. Such a standpoint can (...)
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  • Rationality, Reasoning and Group Agency.Philip Pettit - 2007 - Dialectica 61 (4):495-519.
    The rationality of individual agents is secured for the most part by their make-up or design. Some agents, however – in particular, human beings – rely on the intentional exercise of thinking or reasoning in order to promote their rationality further; this is the activity that is classically exemplified in Rodin’s sculpture of Le Penseur. Do group agents have to rely on reasoning in order to maintain a rational profile? Recent results in the theory of judgment aggregation show that under (...)
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  • Review: On thinking how to live: A cognitivist view. [REVIEW]Philip Pettit - 2006 - Mind 115 (460):1083-1106.
    Allan Gibbard’s strategy in his new book is to begin by describing a psychology of thinking and planning that certain agents might instantiate, then to argue that this psychology involves an ‘expressivism’ about thought that bears on what to do, and, finally, to try to show that ascribing that same psychology to human beings would explain the way we deploy various concepts in practical and normative deliberation. The idea is to construct an imaginary normative psychology, purportedly conforming to expressivist specifications, (...)
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  • Consciousness Incorporated.Philip Pettit - 2018 - Journal of Social Philosophy 49 (1):12-37.
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  • Broome on reasoning and rule-following.Philip Pettit - 2016 - Philosophical Studies 173 (12):3373-3384.
    John Broome’s Rationality Through Reasoning is a trail-blazing study of the nature of rationality, the nature of reasoning and the connection between the two. But it may be somewhat misleading in two respects. First, his theory of reasoning is consistent with the meta-propositional view that he rejects; it develops a broadly similar theory but in much greater detail. And while his discussion of rule-following helps to explain the role of rules in reasoning, it does not constitute a response to the (...)
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  • What the Tortoise will say to Achilles – or “taking the traditional interpretation of the sea battle argument seriously”.Ramiro Peres - 2017 - Filosofia Unisinos 18 (1).
    This dialogue between Achilles and the Tortoise – in the spirit of those of Carroll and Hofstadter – argues against the idea, identified with the “traditional” interpretation of Aristotle’s “sea battle argument”, that future contingents are an exception to the Principle of Bivalence. It presents examples of correct everyday predictions, without which one would not be able to decide and to act; however, doing this is incompatible with the belief that the content of these predictions lacks a truth-value. The cost (...)
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  • Reasoning and Presuppositions.Carlotta Pavese - 2021 - Philosophical Topics 49 (2):203-224.
    It is a platitude that when we reason, we often take things for granted, sometimes even justifiably so. The chemist might reason from the fact that a substance turns litmus paper red to that substance being an acid. In so doing, they take for granted, reasonably enough, that this test for acidity is valid. We ordinarily reason from things looking a certain way to their being that way. We take for granted, reasonably enough, that things are as they look Although (...)
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  • Enthymematic parsimony.Fabio Paglieri & John Woods - 2011 - Synthese 178 (3):461 - 501.
    Enthymemes are traditionally defined as arguments in which some elements are left unstated. It is an empirical fact that enthymemes are both enormously frequent and appropriately understood in everyday argumentation. Why is it so? We outline an answer that dispenses with the so called "principle of charity", which is the standard notion underlying most works on enthymemes. In contrast, we suggest that a different force drives enthymematic argumentation—namely, parsimony, i.e. the tendency to optimize resource consumption, in light of the agent's (...)
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  • Belief, normativity and the constitution of agency.Emer O'Hagan - 2005 - Philosophical Explorations 8 (1):39-52.
    In this paper I advance a constitutive argument for the authority of rational norms. Because accountability to reasons is constitutive of rational agency and rational norms are implicit in reasons for action and belief, the justification of rational norms is of a piece with the practice of reasoning. Peter Railton has objected that the constitutive view fails to defend the categorical authority of reason over agents. I respond to his objections, arguing that they presuppose a foundationalist conception of justification that (...)
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  • The Humean problem of induction and Carroll’s Paradox.Manuel Pérez Otero - 2008 - Philosophical Studies 141 (3):357 - 376.
    Hume argued that inductive inferences do not have rational justification. My aim is to reject Hume’s argument. The discussion is partly motivated by an analogy with Carroll’s Paradox, which concerns deductive inferences. A first radically externalist reply to Hume (defended by Dauer and Van Cleve) is that justified inductive inferences do not require the subject to know that nature is uniform, though the uniformity of nature is a necessary condition for having the justification. But then the subject does not have (...)
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  • Ex impossibili quodlibet sequitur.Calvin G. Normore - 2015 - Vivarium 53 (2-4):353-371.
    _ Source: _Volume 53, Issue 2-4, pp 353 - 371 While agreeing with Professor D’Ors’ thesis that the notion of logical consequence cannot be exhaustively characterized, I depart from Professor d’Ors’ conclusion that the very notion of good consequence is primitive and can only be identified with the set of acceptable rules of inference, and from his conviction that modal notions such as necessity and impossibility are equivocal and gain such clarity as they have by their interaction with rules of (...)
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  • Acceptance and Certainty, Doxastic Modals, and Indicative Conditionals.Kurt Norlin - 2022 - Journal of Philosophical Logic 51 (5):951-971.
    I give a semantics for a logic with two pairs of doxastic modals and an indicative conditional connective that all nest without restriction. Sentences are evaluated as accepted, rejected, or neither. Certainty is the necessity-like modality of acceptance. Inferences may proceed from premises that are certain, or merely accepted, or a mix of both. This semantic setup yields some striking results. Notably, the existence of inferences that preserve certainty but not acceptance very directly implies both failure of modus ponens for (...)
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  • Who Needs Valid Moral Arguments?Mark T. Nelson - 2003 - Argumentation 17 (1):35-42.
    Why have so many philosophers agonised over the possibility of valid arguments from factual premises to moral conclusions? I suggest that they have done so, because of worries over a sceptical argument that has as one of its premises, `All moral knowledge must be non-inferential, or, if inferential, based on valid arguments or strong inductive arguments from factual premises'. I argue that this premise is false.
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  • Another Blow to Knowledge from Knowledge.Peter Murphy - 2013 - Logos and Episteme 4 (3): 311–317.
    A novel argument is offered against the following popular condition on inferential knowledge: a person inferentially knows a conclusion only if they know each of the claims from which they essentially inferred that conclusion. The epistemology of conditional proof reveals that we sometimes come to know conditionals by inferring them from assumptions rather than beliefs. Since knowledge requires belief, cases of knowing via conditional proof refute the popular knowledge from knowledge condition. It also suggests more radical cases against the condition (...)
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  • Reasoning, rationality, and representation.Wade Munroe - 2020 - Synthese 198 (9):8323-8345.
    Recently, a cottage industry has formed with the goal of analyzing reasoning. The relevant notion of reasoning in which philosophers are expressly interested is fixed through an epistemic functional description: reasoning—whatever it is—is our personal-level, rationally evaluable means of meeting our rational requirements through managing and updating our attitudes. Roughly, the dominant view in the extant literature as developed by Paul Boghossian, John Broome, and others is that reasoning is a rule-governed operation over propositional attitudes that results in a change (...)
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  • Carroll’s Infinite Regress and the Act of Diagramming.John Mumma - 2019 - Topoi 38 (3):619-626.
    The infinite regress of Carroll’s ‘What the Tortoise said to Achilles’ is interpreted as a problem in the epistemology of mathematical proof. An approach to the problem that is both diagrammatic and non-logical is presented with respect to a specific inference of elementary geometry.
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  • Reasoning under Scarcity.Jennifer M. Morton - 2017 - Australasian Journal of Philosophy 95 (3):543-559.
    Practical deliberation consists in thinking about what to do. Such deliberation is deemed rational when it conforms to certain normative requirements. What is often ignored is the role that an agent's context can play in so-called ‘failures’ of rationality. In this paper, I use recent cognitive science research investigating the effects of resource-scarcity on decision-making and cognitive function to argue that context plays an important role in determining which norms should structure an agent's deliberation. This evidence undermines the view that (...)
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  • Normative principles and the nature of mind-dependence.Justin Morton - 2022 - Philosophical Studies 179 (4):1153-1176.
    One of the most fundamental debates in metaethics is whether the normative facts are mind-dependent. Yet some philosophers are skeptical that mind-dependence is a category that's significant in the way metaethicists have assumed it is. In this paper, I consider a puzzle that showcases this skepticism, explaining how it undermines the most natural reading of the mind-dependence claim. I then go on to show that no modification of this reading within a certain class can hope to solve the problem. I (...)
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  • Lewis Carroll’s Diaries: The Private Journals of Charles Lutwidge Dodgson (Lewis Carroll)/The Logic Pamphlets of Charles Lutwidge Dodgson and Related Pieces.Amirouche Moktefi - 2018 - History and Philosophy of Logic 39 (2):187-200.
    Lewis Carroll offers an interesting perspective on the development of early symbolic logic. On the one hand, he makes a characteristic case of a logician who worked on symbolic methods...
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  • What’s so bad about scientism?Moti Mizrahi - 2017 - Social Epistemology 31 (4):351-367.
    In their attempt to defend philosophy from accusations of uselessness made by prominent scientists, such as Stephen Hawking, some philosophers respond with the charge of ‘scientism.’ This charge makes endorsing a scientistic stance, a mistake by definition. For this reason, it begs the question against these critics of philosophy, or anyone who is inclined to endorse a scientistic stance, and turns the scientism debate into a verbal dispute. In this paper, I propose a different definition of scientism, and thus a (...)
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  • What is Reasoning?Conor McHugh & Jonathan Way - 2018 - Mind 127 (505):167-196.
    Reasoning is a certain kind of attitude-revision. What kind? The aim of this paper is to introduce and defend a new answer to this question, based on the idea that reasoning is a goodness-fixing kind. Our central claim is that reasoning is a functional kind: it has a constitutive point or aim that fixes the standards for good reasoning. We claim, further, that this aim is to get fitting attitudes. We start by considering recent accounts of reasoning due to Ralph (...)
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  • A limitation on agency in judgment.Matthew McGrath - 2022 - Synthese 200 (2):1-21.
    To many, judgment has seemed a locus of cognitive agency, a kind of cognitive mental act. In one minimal sense, judgment is something one does. I consider whether judgment is more robustly agential: is it a kind of action done with an aim? The most attractive version of this sort of position takes judging that p to affirming that p with an alethic aim, an aim such as affirming truly. I argue that such views have unacceptable consequences. Acts done with (...)
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  • Fairness, Epistemology, and Rules: A Prolegomenon to a Philosophy of Officiating?Graham McFee - 2011 - Journal of the Philosophy of Sport 38 (2):229-253.
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  • Acting for a Reason and Following a Principle.Andrew James McAninch - 2015 - Ethical Theory and Moral Practice 18 (3):649-661.
    According to an influential view of practical reason and rational agency, a person acts for a reason only if she recognizes some consideration to be a reason, where this recognition motivates her to act. I call this requirement the guidance condition on acting for a reason. Despite its intuitive appeal, the guidance condition appears to generate a vicious regress. At least one proponent of the guidance condition, Christine M. Korsgaard, is sensitive to this regress worry, and her appeal in recent (...)
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  • Because I Believe It’s the Right Thing to Do.Joshua May - 2013 - Ethical Theory and Moral Practice 16 (4):791-808.
    Our beliefs about which actions we ought to perform clearly have an effect on what we do. But so-called “Humean” theories—holding that all motivation has its source in desire—insist on connecting such beliefs with an antecedent motive. Rationalists, on the other hand, allow normative beliefs a more independent role. I argue in favor of the rationalist view in two stages. First, I show that the Humean theory rules out some of the ways we ordinarily explain actions. This shifts the burden (...)
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  • On The Hypothetical Given.Adam Marushak - 2021 - Philosophy and Phenomenological Research 102 (3):497-514.
    My aim in this paper is to assess the viability of a perceptual epistemology based on what Anil Gupta calls the “hypothetical given”. On this account, experience alone yields no unconditional entitlement to perceptual beliefs. Experience functions instead to establish relations of rational support between what Gupta calls “views” and perceptual beliefs. I argue that the hypothetical given is a genuine alternative to the prevailing theories of perceptual justification but that the account faces a dilemma: on a natural assumption about (...)
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  • La logique symbolique en débat à Oxford à la fin du XIXe siècle : les disputes logiques de Lewis Carroll et John Cook Wilson.Mathieu Marion & Amirouche Moktefi - 2014 - Revue D’Histoire des Sciences 67 (2):185-205.
    The development of symbolic logic is often presented in terms of a cumulative story of consecutive innovations that led to what is known as modern logic. This narrative hides the difficulties that this new logic faced at first, which shaped its history. Indeed, negative reactions to the emergence of the new logic in the second half of the nineteenth century were numerous and we study here one case, namely logic at Oxford, where one finds Lewis Carroll, a mathematical teacher who (...)
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  • Identifying logical evidence.Ben Martin - 2020 - Synthese 198 (10):9069-9095.
    Given the plethora of competing logical theories of validity available, it’s understandable that there has been a marked increase in interest in logical epistemology within the literature. If we are to choose between these logical theories, we require a good understanding of the suitable criteria we ought to judge according to. However, so far there’s been a lack of appreciation of how logical practice could support an epistemology of logic. This paper aims to correct that error, by arguing for a (...)
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  • Achilles versus the tortoise: The battle over modus ponens (an aristotelian argument).Peter Marton - 2004 - Philosophia 31 (3-4):383-400.
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  • Goodness, availability, and argument structure.Anna-Sara Malmgren - 2021 - Synthese 198:10395-10427.
    According to a widely shared generic conception of inferential justification—‘the standard conception’—an agent is inferentially justified in believing that p only if she has antecedently justified beliefs in all the non-redundant premises of a good argument for p. This conception tends to serve as the starting-point in contemporary debates about the nature and scope of inferential justification: as neutral common ground between various competing, more specific, conceptions. But it’s a deeply problematic starting-point. This paper explores three questions that haven’t been (...)
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  • Demonstrative Induction and the Skeleton of Inference.P. D. Magnus - 2008 - International Studies in the Philosophy of Science 22 (3):303-315.
    It has been common wisdom for centuries that scientific inference cannot be deductive; if it is inference at all, it must be a distinctive kind of inductive inference. According to demonstrative theories of induction, however, important scientific inferences are not inductive in the sense of requiring ampliative inference rules at all. Rather, they are deductive inferences with sufficiently strong premises. General considerations about inferences suffice to show that there is no difference in justification between an inference construed demonstratively or ampliatively. (...)
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  • Reasoning and logic.Jim Mackenzie - 1989 - Synthese 79 (1):99 - 117.
    Gilbert Harman, in Logic and Reasoning (Synthese 60 (1984), 107–127) describes an unsuccessful attempt ... to develop a theory which would give logic a special role in reasoning. Here reasoning is psychological, a procedure for revising one''s beliefs. In the present paper, I construe reasoning sociologically, as a process of linguistic interaction; and show how both reasoning in the psychologistic sense and logic are related to that process.
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