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  1. What the Tortoise Said to Achilles: Lewis Carroll’s paradox in terms of Hilbert arithmetic.Vasil Penchev - 2021 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 13 (22):1-32.
    Lewis Carroll, both logician and writer, suggested a logical paradox containing furthermore two connotations (connotations or metaphors are inherent in literature rather than in mathematics or logics). The paradox itself refers to implication demonstrating that an intermediate implication can be always inserted in an implication therefore postponing its ultimate conclusion for the next step and those insertions can be iteratively and indefinitely added ad lib, as if ad infinitum. Both connotations clear up links due to the shared formal structure with (...)
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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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  • 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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  • 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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  • Practical reason and 'companions in guilt'.James Harold - 2003 - Philosophical Investigations 26 (4):311–331.
    Since Phillipa Foot’s paper ‘Morality as a System of Hypothetical Imperatives’ was published some twenty-five years ago, questions about categorical imperatives and the alleged rationality of acting morally have been of central concern to ethicists. For critics and friends of Kantian ethical theories, these questions have special importance. One of the distinctive features of Kantian ethical theories is that they claim that there are categorical imperatives: imperatives which dictate which actions one should follow insofar as one is rational.This way of (...)
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  • The special status of instrumental reasons.Stephanie Beardman - 2007 - Philosophical Studies 134 (2):255 - 287.
    The rationality of means-end reasoning is the bedrock of the Humean account of practical reasons. But the normativity of such reasoning can not be taken for granted. I consider and reject the idea that the normativity of instrumental reasoning can be explained – either in terms of its being constitutive of the very notion of having an end, or solely in terms of instrumental considerations. I argue that the instrumental principle is itself a brute norm, and that this is consistent (...)
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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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  • 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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  • 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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  • (1 other version)Sobre a distinção argumentativa entre a área da lógica ea ética.Itamar Soares Veiga - 2012 - Conjectura: Filosofia E Educação 17 (3):147-162.
    Esta investigação trata da diferença entre as áreas da filosofia, mas essa diferenciação necessita de uma forma plausível e não dogmática em seu proceder. Para encontrar uma forma de diferenciar cada área interna da filosofia, utilizou-se uma comparação inicial com as ciências e se buscou oprocesso argumentativo como um fator principal de diferenciação. Isso se expressa mais diretamente no problema de pesquisa, que visa a investigar se as diferentes áreas filosóficas também possuem diferentes processos deargumentação. A relevância desta investigação se (...)
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  • Do Hypothetical Imperatives Require Categorical Imperatives?Jeremy Schwartz - 2010 - European Journal of Philosophy 18 (1):84-107.
    Abstract:Recently, the idea that every hypothetical imperative must somehow be ‘backed up’ by a prior categorical imperative has gained a certain influence among Kant interpreters and ethicists influenced by Kant. Since instrumentalism is the position that holds that hypothetical imperatives can by themselves and without the aid of categorical imperatives explain all valid forms of practical reasoning, the influential idea amounts to a rejection of instrumentalism as internally incoherent. This paper argues against this prevailing view both as an interpretation of (...)
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  • Dummett, Achilles and the tortoise.Pascal Engel - unknown
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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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