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A tale of two tortoises

Mind 104 (416):725-736 (1995)

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  1. With and without end.Peter Cave - 2007 - Philosophical Investigations 30 (2):105–126.
    Ways and words about infinity have frequently hidden a continuing paradox inspired by Zeno. The basic puzzle is the tortoise's – Mr T's – Extension Challenge, the challenge being how any extension, be it in time or space or both, moving or still, can yet be of an endless number of extensions. We identify a similarity with Mr T's Deduction Challenge, reported by Lewis Carroll, to the claim that a conclusion can be validly reached in finite steps. Rejecting common solutions (...)
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  • Instrumental Rationality and Carroll's Tortoise.John Brunero - 2005 - Ethical Theory and Moral Practice 8 (5):557-569.
    Some philosophers have tried to establish a connection between the normativity of instrumental rationality and the paradox presented by Lewis Carroll in his 1895 paper “What the Tortoise Said to Achilles.” I here examine and argue against accounts of this connection presented by Peter Railton and James Dreier before presenting my own account and discussing its implications for instrumentalism (the view that all there is to practical rationality is instrumental rationality). In my view, the potential for a Carroll-style regress just (...)
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  • Bonjour’s Arguments against Skepticism about the A Priori.James R. Beebe - 2008 - Philosophical Studies 137 (2):243-267.
    I reconstruct and critique two arguments Laurence BonJour has recently offered against skepticism about the a priori. While the arguments may provide anti-skeptical, internalist foundationalists with reason to accept the a priori, I show that neither argument provides sufficient reason for believing the more general conclusion that there is no rational alternative to accepting the a priori.
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  • Norms, reasons and reasoning: a guide through Lewis Carroll’s regress argument.Corine Besson - 2018 - In Daniel Star (ed.), The Oxford Handbook of Reasons and Normativity. New York, NY, United States of America: Oxford University Press.
    This paper concerns connection between knowing or accepting a logical principle such as Modus Ponens and actions of reasoning involving it. Discussions of this connection typically mention the so-called ‘Lewis Carroll Regress’ and there is near consensus that the regress shows something important about it. Also, although the regress explicitly concerns logic, many philosophers think that it establishes a more general truth, about the structurally similar connection between epistemic or practical principles and actions involving them. This paper’s first aim is (...)
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  • La logique peut-elle mouvoir l'esprit?Pascal Engel - 1998 - Dialogue 37 (1):35-54.
    This paper attempts to take a new look at the famous Lewis Carroll paradox about Achilles and the Tortoise. It examines in particular the connections between Lewis Carroll's regress argument for logical inferences and a similar regress for practical inferences. The Tortoise's point of view is espoused: no norm of reasoning or of conduct can in itself “make the mind move,” only the brute force of belief can. This conclusion is a Humean one. But it does not imply that we (...)
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  • Logic, Reasoning, and Rationality.Erik Weber, Joke Meheus & Dietlinde Wouters (eds.) - 2014 - Dordrecht, Netherland: Springer.
    This book contains a selection of the papers presented at the Logic, Reasoning and Rationality 2010 conference in Ghent. The conference aimed at stimulating the use of formal frameworks to explicate concrete cases of human reasoning, and conversely, to challenge scholars in formal studies by presenting them with interesting new cases of actual reasoning. According to the members of the Wiener Kreis, there was a strong connection between logic, reasoning, and rationality and that human reasoning is rational in so far (...)
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  • What Carroll’s Tortoise Actually Proves.Jan Willem Wieland - 2013 - Ethical Theory and Moral Practice 16 (5):983-997.
    Rationality requires us to have certain propositional attitudes (beliefs, intentions, etc.) given certain other attitudes that we have. Carroll’s Tortoise repeatedly shows up in this discussion. Following up on Brunero (Ethical Theory Moral Pract 8:557–569, 2005), I ask what Carroll-style considerations actually prove. This paper rejects two existing suggestions, and defends a third.
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  • Infinite Regress Arguments.Jan Willem Wieland - 2013 - Cham: Springer.
    This book on infinite regress arguments provides (i) an up-to-date overview of the literature on the topic, (ii) ready-to-use insights for all domains of philosophy, and (iii) two case studies to illustrate these insights in some detail. Infinite regress arguments play an important role in all domains of philosophy. There are infinite regresses of reasons, obligations, rules, and disputes, and all are supposed to have their own moral. Yet most of them are involved in controversy. Hence the question is: what (...)
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  • What The Tortoise Has To Say About Diachronic Rationality.Markos Valaris - 2016 - Pacific Philosophical Quarterly 98 (S1):293-307.
    Even if you believe just what you rationally ought to believe, you may be open to rational criticism if you do so ‘for the wrong reasons’, as we say. Some have thought that this familiar observation supports the idea that there are diachronic norms of epistemic rationality – namely, norms of good reasoning. Partly drawing upon Carroll's story of Achilles and the Tortoise, this article criticises this line of thought on the grounds that it rests on a mistaken conception of (...)
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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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  • Lewis Carroll’s regress and the presuppositional structure of arguments.Carlotta Pavese - 2021 - Linguistics and Philosophy 45 (1):1-38.
    This essay argues that the main lesson of Lewis Carroll's Regress is that arguments are constitutively presuppositional.
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  • Knowing a rule.Carlotta Pavese - 2015 - Philosophical Issues 25 (1):165-188.
    In this essay, I provide a new argument for Intellectualism about knowing how, one that does not rest on controversial assumptions about how knowing how is ascribed in English. In particular, I argue that the distinctive intentionality of the manifestations of knowing how ought to be explained in terms of a propositional attitude of belief about how to perform an action.
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  • On a Neg‐Raising Fallacy in Determining Enthymematicity: If She Did not Believe or Want ….Katarzyna Paprzycka - 2014 - Metaphilosophy 45 (1):96-119.
    Many arguments that show p to be enthymematic (in an argument for q) rely on claims like “if one did not believe that p, one would not have a reason for believing that q.” Such arguments are susceptible to the neg-raising fallacy. We tend to interpret claims like “X does not believe that p” as statements of disbelief (X's belief that not-p) rather than as statements of withholding the belief that p. This article argues that there is a tendency to (...)
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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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  • Arguments, Suppositions, and Conditionals.Pavese Carlotta - forthcoming - Semantics and Linguistic Theory.
    Arguments and conditionals are powerful means language provides us to reason about possibilities and to reach conclusions from premises. These two kinds of constructions exhibit several affinities—e.g., they both come in different varieties depending on the mood; they share some of the same connectives (i.e., ‘then’); they allow for similar patterns of modal subordination. In the light of these affinities, it is not surprising that prominent theories of conditionals—old and new suppositionalisms as well as dynamic theories of conditionals—as well as (...)
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  • References.John Bengson & Marc A. Moffett - 2011 - In Knowing How: Essays on Knowledge, Mind, and Action. Oxford: Oxford University Press. pp. 361-386.
    This compilation of references includes all references for the knowledge-how chapters included in Bengson & Moffett's edited volume. The volume and the compilation of references may serve as a good starting point for people who are unfamiliar with the philosophical literature on knowledge-how.
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  • Scrutinizing Anti-exceptionalism. Mansooreh - manuscript
    In this paper, I argue against present accounts of anti-exceptionalism about logic, while preserving some of their insights. I will do that by offering objections against the anti-exceptionalists’ claims that revisions happen in the same way in sciences and in logic, and that the methodology of logic involves abduction simpliciter. I propose a new account of theory divergence for logic with anti-exceptionalist aspects which also preserves exceptionalism on some level while considering the role of metalogic in the exceptionalist/anti-exceptionalist debate.
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  • Dummett, Achilles and the tortoise.Pascal Engel - unknown
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  • And So On. Two Theories of Regress Arguments in Philosophy.Jan Willem Wieland - 2012 - Dissertation,
    This dissertation is on infinite regress arguments in philosophy. Its main goals are to explain what such arguments from many distinct philosophical debates have in common, and to provide guidelines for using and evaluating them. Two theories are reviewed: the Paradox Theory and the Failure Theory. According to the Paradox Theory, infinite regress arguments can be used to refute an existentially or universally quantified statement (e.g. to refute the statement that at least one discussion is settled, or the statement that (...)
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