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Knowledge of Logic

In Paul Artin Boghossian & Christopher Peacocke (eds.), New Essays on the A Priori. Oxford, GB: Oxford University Press (2000)

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  1. Intuition and Modal Error.George Bealer - 2008 - In Quentin Smith (ed.), Epistemology: new essays. New York : Oxford University Press,: Oxford University Press.
    Modal intuitions are not only the primary source of modal knowledge but also the primary source of modal error. An explanation of how modal error arises — and, in particular, how erroneous modal intuitions arise — is an essential part of a comprehensive theory of knowledge and evidence. This chapter begins with a summary of certain preliminaries: the phenomenology of intuitions, their fallibility, the nature of concept-understanding and its relationship to the reliability of intuitions, and so forth. It then identifies (...)
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  • Externalist responses to skepticism.Michael Bergmann - 2008 - In John Greco (ed.), The Oxford handbook of skepticism. New York: Oxford University Press. pp. 504--32.
  • Is Frege's Definition of the Ancestral Adequate?Richard G. Heck - 2016 - Philosophia Mathematica 24 (1):91-116.
    Why should one think Frege's definition of the ancestral correct? It can be proven to be extensionally correct, but the argument uses arithmetical induction, and that seems to undermine Frege's claim to have justified induction in purely logical terms. I discuss such circularity objections and then offer a new definition of the ancestral intended to be intensionally correct; its extensional correctness then follows without proof. This new definition can be proven equivalent to Frege's without any use of arithmetical induction. This (...)
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  • Inescapable Concepts.Thomas Hofweber - 2024 - Australasian Journal of Philosophy 102 (1):159-179.
    It seems to be impossible to draw metaphysical conclusions about the world merely from our concepts or our language alone. After all, our concepts alone only concern how we aim to represent the world, not how the world in fact is. In this paper I argue that this is mistaken. We can sometimes draw substantial metaphysical conclusions simply from thinking about how we represent the world. But by themselves such conclusions can be flawed if the concepts from which they are (...)
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  • The Epistemology of Modality.Antonella Mallozzi, Michael Wallner & Anand Vaidya - 2021 - The Stanford Encyclopedia of Philosophy.
  • Problems for Credulism.James Pryor - 2013 - In Chris Tucker (ed.), Seemings and Justification: New Essays on Dogmatism and Phenomenal Conservatism. New York: Oxford University Press USA. pp. 89–131.
    We have several intuitive paradigms of defeating evidence. For example, let E be the fact that Ernie tells me that the notorious pet Precious is a bird. This supports the premise F, that Precious can fly. However, Orna gives me *opposing* evidence. She says that Precious is a dog. Alternatively, defeating evidence might not oppose Ernie's testimony in that direct way. There might be other ways for it to weaken the support that Ernie's testimony gives me for believing F, without (...)
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  • Intuition.Ole Koksvik - 2011 - Dissertation, Australian National University
    In this thesis I seek to advance our understanding of what intuitions are. I argue that intuitions are experiences of a certain kind. In particular, they are experiences with representational content, and with a certain phenomenal character. -/- In Chapter 1 I identify our target and provide some important reliminaries. Intuitions are mental states, but which ones? Giving examples helps: a person has an intuition when it seems to her that torturing the innocent is wrong, or that if something is (...)
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  • Intuitions for inferences.Sinan Dogramaci - 2012 - Philosophical Studies 165 (2):371-399.
    In this paper, I explore a question about deductive reasoning: why am I in a position to immediately infer some deductive consequences of what I know, but not others? I show why the question cannot be answered in the most natural ways of answering it, in particular in Descartes’s way of answering it. I then go on to introduce a new approach to answering the question, an approach inspired by Hume’s view of inductive reasoning.
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  • The Intellectual Given.John Bengson - 2015 - Mind 124 (495):707-760.
    Intuition is sometimes derided as an abstruse or esoteric phenomenon akin to crystal-ball gazing. Such derision appears to be fuelled primarily by the suggestion, evidently endorsed by traditional rationalists such as Plato and Descartes, that intuition is a kind of direct, immediate apprehension akin to perception. This paper suggests that although the perceptual analogy has often been dismissed as encouraging a theoretically useless metaphor, a quasi-perceptualist view of intuition may enable rationalists to begin to meet the challenge of supplying a (...)
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  • The Dignity of a Rule: Wittgenstein, Mathematical Norms, and Truth.Michael Hymers - 2003 - Dialogue 42 (3):419-446.
    RésuméPaul Boghossian soutient contre Wittgenstein que le normativisme au sujet de la logique et des mathématiques est incompatible avec le fait de tenir les énoncés logiques et mathématiques pour vrais et que le normativisme entraîne une régression indue. Je soutiens, pour ma part, que le normativisme n'entraîne pas une telle régression, parce que les normes peuvent être implicites et que le normativisme peut bien être «factualiste» si l'on rejette ce que Rockney Jacobsen appelle le «cognitivisme sémantique». Je tiens en outre (...)
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  • Boghossian's Implicit Definition Template.Ben Baker - 2011 - In Piotr Stalmaszczyk (ed.), Philosophical and Formal Approaches to Linguistic Analysis. Ontos. pp. 15.
    In Boghossian's 1997 paper, 'Analyticity' he presented an account of a prioriknowledge of basic logical principles as available by inference from knowledge of their role in determining the meaning of the logical constants by implicit definitiontogether with knowledge of the meanings so-determined that we possess through ourprivileged access to meaning. Some commentators (e.g. BonJour (1998), Glüer (2003),Jenkins (2008)) have objected that if the thesis of implicit definition on which he relieswere true, knowledge of the meaning of the constants would presuppose (...)
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  • Evidence in Logic.Ben Martin & Ole Thomassen Hjortland - 2019 - In Maria Lasonen-Aarnio & Clayton Littlejohn (eds.), The Routledge Handbook of the Philosophy of Evidence. Routledge.
    The historical consensus is that logical evidence is special. Whereas empirical evidence is used to support theories within both the natural and social sciences, logic answers solely to a priori evidence. Further, unlike other areas of research that rely upon a priori evidence, such as mathematics, logical evidence is basic. While we can assume the validity of certain inferences in order to establish truths within mathematics and test scientifi c theories, logicians cannot use results from mathematics or the empirical sciences (...)
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  • The A Priori Without Magic.Jared Warren - 2022 - New York, NY, USA: Cambridge University Press.
    The distinction between the a priori and the a posteriori is an old and influential one. But both the distinction itself and the crucial notion of a priori knowledge face powerful philosophical challenges. Many philosophers worry that accepting the a priori is tantamount to accepting epistemic magic. In contrast, this Element argues that the a priori can be formulated clearly, made respectable, and used to do important epistemological work. The author's conception of the a priori and its role falls short (...)
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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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  • Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism.Jared Warren - 2020 - New York, USA: Oxford University Press.
    What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...)
  • On the Justification Problems: Towards a Peircean Diagnosis and Solution.Liuhua Zhang - 2017 - History and Philosophy of Logic 38 (3):222-238.
    Responding to the paradox of inference and the related problems in philosophy of logic, this paper argues for the necessity of distinguishing between two different objects of justification: logica utens and logica docens. Then, equipped with Peirce’s critical common-sensist conception of logica utens and his classification of sciences, I propose a diagnosis of and a solution to the problem of justification of logic. I argue that this alternative approach successfully avoids circularity in which most attempts in philosophy of logic have (...)
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  • Rule-following without Reasons: Wittgenstein’s Quietism and the Constitutive Question.Crispin Wright - 2007 - Ratio 20 (4):481–502.
    This is a short, and therefore necessarily very incomplete discussion of one of the great questions of modern philosophy. I return to a station at which an interpretative train of thought of mine came to a halt in a paper written almost 20 years ago, about Wittgenstein and Chomsky,[1] hoping to advance a little bit further down the track. The rule-following passages in the Investigations and Remarks on the Foundations of Mathematics in fact raise a number of distinct issues about (...)
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  • Logical Non‐Cognitivism.Crispin Wright - 2018 - Philosophical Issues 28 (1):425-450.
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  • Intuition, entitlement and the epistemology of logical laws.Crispin Wright - 2004 - Dialectica 58 (1):155–175.
    The essay addresses the well‐known idea that there has to be a place for intuition, thought of as a kind of non‐inferential rational insight, in the epistemology of basic logic if our knowledge of its principles is non‐empirical and is to allow of any finite, non‐circular reconstruction. It is argued that the error in this idea consists in its overlooking the possibility that there is, properly speaking, no knowledge of the validity of principles of basic logic. When certain important distinctions (...)
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  • Does anti-exceptionalism about logic entail that logic is a posteriori?Jessica M. Wilson & Stephen Biggs - 2022 - Synthese 200 (3):1-17.
    The debate between exceptionalists and anti-exceptionalists about logic is often framed as concerning whether the justification of logical theories is a priori or a posteriori (for short: whether logic is a priori or a posteriori). As we substantiate (S1), this framing more deeply encodes the usual anti-exceptionalist thesis that logical theories, like scientific theories, are abductively justified, coupled with the common supposition that abduction is an a posteriori mode of inference, in the sense that the epistemic value of abduction is (...)
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  • Naturalism, fallibilism, and the a priori.Lisa Warenski - 2009 - Philosophical Studies 142 (3):403-426.
    This paper argues that a priori justification is, in principle, compatible with naturalism—if the a priori is understood in a way that is free of the inessential properties that, historically, have been associated with the concept. I argue that empirical indefeasibility is essential to the primary notion of the a priori ; however, the indefeasibility requirement should be interpreted in such a way that we can be fallibilist about apriori-justified claims. This fallibilist notion of the a priori accords with the (...)
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  • Defending Understanding-Assent Links.Jared Warren - 2021 - Synthese 199 (3-4):9219-9236.
    Several recent epistemologists have used understanding-assent links in theories of a priori knowledge and justification, but Williamson influentially argued against the existence of such links. Here I (1) clarify the nature of understanding-assent links and their role in epistemology; (2) clarify and clearly formulate Williamson’s arguments against their existence; (3) argue that Williamson has failed to successfully establish his conclusion; and (4) rebut Williamson’s claim that accepting understanding-assent links amounts to a form of dogmatism.
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  • Anti-exceptionalism and methodological pluralism in logic.Diego Tajer - 2022 - Synthese 200 (3):1-21.
    According to methodological anti-exceptionalism, logic follows a scientific methodology. There has been some discussion about which methodology logic has. Authors such as Priest, Hjortland and Williamson have argued that logic can be characterized by an abductive methodology. We choose the logical theory that behaves better under a set of epistemic criteria. In this paper, I analyze some important discussions in the philosophy of logic, and I show that they presuppose different methodologies, involving different notions of evidence and different epistemic values. (...)
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  • Intuitions in logic: a moderate proposal.Diego Tajer - 2020 - Humanities Journal of Valparaiso 16:239-253.
    Intuitions play a significant role in debates about logic. In this paper, I analyze how legitimate is that practice. In the first part of the paper, I distinguish between theoretical and pretheoretical intuitions, and argue that some pretheoretical intuitions are not to be taken into account in logic. Particularly, our pretheoretical intuitions about the concept of validity are not of much importance, since we don’t have a uniform or clear concept of validity in the natural language to be elucidated. Nevertheless, (...)
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  • What Do Deviant Logians Show About the Epistemology of Logic?Arthur Sullivan - 2015 - Acta Analytica 30 (2):179-191.
    What I will call “the deviant logician objection” [DLO] is one line of attack against the common and compelling tenet that our justification for logical truths is grounded in our understanding of their constituent concepts. This objection seeks to undermine the possibility of any deep constitutive connection, in the epistemology of logic, between understanding and justification. I will consider varieties of the deviant logician objection developed by Horwich and by Williamson. My thesis is that while the deviant logician objection falls (...)
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  • Truth in virtue of meaning.Arthur Sullivan - 2008 - Canadian Journal of Philosophy 38 (3):pp. 373-397.
    In recent work on a priori justification, one thing about which there is considerable agreement is that the notion of truth in virtue of meaning is bankrupt and infertile. (For the sake of more readable prose, I will use ‘TVM’ as an abbreviation for ‘the notion of truth in virtue of meaning’.) Arguments against the worth of TVM can be found across the entire spectrum of views on the a priori, in the work of uncompromising rationalists (such as BonJour (1998)), (...)
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  • Ideal rationality and logical omniscience.Declan Smithies - 2015 - Synthese 192 (9):2769-2793.
    Does rationality require logical omniscience? Our best formal theories of rationality imply that it does, but our ordinary evaluations of rationality seem to suggest otherwise. This paper aims to resolve the tension by arguing that our ordinary evaluations of rationality are not only consistent with the thesis that rationality requires logical omniscience, but also provide a compelling rationale for accepting this thesis in the first place. This paper also defends an account of apriori justification for logical beliefs that is designed (...)
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  • Grounding and a priori epistemology: challenges for conceptualism.Robert Weston Siscoe - 2021 - Synthese 199 (3-4).
    Traditional rationalist approaches to a priori epistemology have long been looked upon with suspicion for positing a faculty of rational intuition capable of knowing truths about the world apart from experience. Conceptualists have tried to fill this void with something more empirically tractable, arguing that we know a priori truths due to our understanding of concepts. All of this theorizing, however, has carried on while neglecting an entire cross section of such truths, the grounding claims that we know a priori. (...)
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  • Epistemically self-defeating arguments and skepticism about intuition.Paul Silva - 2013 - Philosophical Studies 164 (3):579-589.
    An argument is epistemically self-defeating when either the truth of an argument’s conclusion or belief in an argument’s conclusion defeats one’s justification to believe at least one of that argument’s premises. Some extant defenses of the evidentiary value of intuition have invoked considerations of epistemic self-defeat in their defense. I argue that there is one kind of argument against intuition, an unreliability argument, which, even if epistemically self-defeating, can still imply that we are not justified in thinking intuition has evidentiary (...)
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  • Bursting Bealer’s Bubble: How the Starting Points Argument Begs the Question of Foundationalism Against Quine.Michael J. Shaffer & Jason A. Warnick - 2004 - Canadian Journal of Philosophy 34 (1):87-106.
    In his 1993 article George Bealer offers three separate arguments that are directed against the internal coherence of empiricism, specifically against Quine’s version of empiricism. One of these arguments is the starting points argument (SPA) and it is supposed to show that Quinean empiricism is incoherent. We argue here that this argument is deeply flawed, and we demonstrate how a Quinean may successfully defend his views against Bealer’s SPA. Our defense of Quinean empiricism against the SPA depends on showing (1) (...)
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  • What is wrong with epistemic circularity?Frederick F. Schmitt - 2004 - Philosophical Issues 14 (1):379–402.
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  • Truth, Revenge, and Internalizability.Kevin Scharp - 2014 - Erkenntnis 79 (S3):597-645.
    Although there has been a recent swell of interest in theories of truth that attempt solutions to the liar paradox and the other paradoxes affecting our concept of truth, many of these theories have been criticized for generating new paradoxes, called revenge paradoxes. The criticism is that the theories of truth in question are inadequate because they only work for languages lacking in the resources to generate revenge paradoxes. Theorists facing these objections offer a range of replies, and the matter (...)
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  • Meaning and Justification: The Case of Modus Ponens.Joshua Schechter & David Enoch - 2006 - Noûs 40 (4):687 - 715.
    In virtue of what are we justified in employing the rule of inference Modus Ponens? One tempting approach to answering this question is to claim that we are justified in employing Modus Ponens purely in virtue of facts concerning meaning or concept-possession. In this paper, we argue that such meaning-based accounts cannot be accepted as the fundamental account of our justification.
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  • Kitcher, Mathematics, and Apriority.Jeffrey W. Roland - 2019 - Erkenntnis 84 (3):687-702.
    Philip Kitcher has argued against the apriority of mathematical knowledge in a number of places. His arguments rely on a conception of mathematical knowledge as embedded in a historical tradition and the claim that this sort of embedding compromises apriority. In this paper, I argue that tradition dependence of mathematical knowledge does not compromise its apriority. I further identify the factors which appear to lead Kitcher to argue as he does.
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  • Indeterminacy, A Priority, and Analyticity in the Quinean Critique.Gurpreet Rattan - 2010 - European Journal of Philosophy 18 (2):203-226.
    Significant issues remain for understanding and evaluating the Quinean critique of the analytic/synthetic distinction. These issues are highlighted in a puzzling mismatch between the common philosophical attitude toward the critique and its broader intellectual legacy. A discussion of this mismatch sets the larger context for criticism of a recent tradition of interpretation of the critique. I argue that this tradition confuses the roles and relative importance of indeterminacy, a priority, and analyticity in the Quinean critique.
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  • Crísipo de solós y los indemostrables.Alejandro Ramírez Figueroa - 2018 - Revista de Filosofía 74:193-214.
    De acuerdo con los principales enfoques al respecto la lógica de los estoicos es principalmente un sistema deductivo, lo que, en términos actuales, ha sido visto como un sistema de lógica proposicional. La obra de Crísipo acerca de los cinco argumentos indemostrables constituye la principal base de dicho sistema. En este artículo se examina la naturaleza de dichos cinco indemostrables así como el llamando teorema de Antipatro y los esquemas básicos de inferencia, o zemas. Por otra parte y en particular, (...)
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  • The logic of indexicals.Alexandru Radulescu - 2015 - Synthese 192 (6):1839-1860.
    Since Kaplan : 81–98, 1979) first provided a logic for context-sensitive expressions, it has been thought that the only way to construct a logic for indexicals is to restrict it to arguments which take place in a single context— that is, instantaneous arguments, uttered by a single speaker, in a single place, etc. In this paper, I propose a logic which does away with these restrictions, and thus places arguments where they belong, in real world conversations. The central innovation is (...)
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  • Moderate anti-exceptionalism and earthborn logic.Jaroslav Peregrin & Vladimír Svoboda - 2021 - Synthese 199 (3-4):8781-8806.
    In this paper we put forward and defend a view of the nature of logic that we call moderate anti-exceptionalism. In the first part of the paper we focus on the problem of genuine logical validity and consequence. We make use of examples from current debates to show that attempts to pinpoint the one and only authentic logic inevitably either yield irrefutable theories or lead to dead ends. We then outline a thoroughly naturalist account of logical consequence as grounded in (...)
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  • Logic and Natural Selection.Jaroslav Peregrin - 2010 - Logica Universalis 4 (2):207-223.
    Is logic, feasibly, a product of natural selection? In this paper we treat this question as dependent upon the prior question of where logic is founded. After excluding other possibilities, we conclude that logic resides in our language, in the shape of inferential rules governing the logical vocabulary of the language. This means that knowledge of (the laws of) logic is inseparable from the possession of the logical constants they govern. In this sense, logic may be seen as a product (...)
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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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  • 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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  • Is logical knowledge dispositional?Julien Murzi & Florian Steinberger - 2013 - Philosophical Studies 166 (S1):165-183.
    In a series of recent papers, Corine Besson argues that dispositionalist accounts of logical knowledge conflict with ordinary reasoning. She cites cases in which, rather than applying a logical principle to deduce certain implications of our antecedent beliefs, we revise some of those beliefs in the light of their unpalatable consequences. She argues that such instances of, in Gilbert Harman’s phrase, ‘reasoned change in view’ cannot be accommodated by the dispositionalist approach, and that we would do well to conceive of (...)
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  • Blind rule-following and the ‘antinomy of pure reason’.Alexander Miller - 2015 - Philosophical Quarterly 65 (260):396-416.
  • Statements of inference and begging the question.Matthew W. McKeon - 2017 - Synthese 194 (6):1919-1943.
    I advance a pragmatic account of begging the question according to which a use of an argument begs the question just in case it is used as a statement of inference and it fails to state an inference the arguer or an addressee can perform given what they explicitly believe. Accordingly, what begs questions are uses of arguments as statements of inference, and the root cause of begging the question is an argument’s failure to state an inference performable by the (...)
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  • On Knowing Our Own Minds.Michael McKinsey - 2002 - Philosophical Quarterly 52 (206):107-116.
    This is an anthology of ?fteen papers concerning various philosophical problems related to the topic of self-knowledge. All but one of the papers were previously unpublished, and all but two are descendants of presentations at a conference on self-knowledge held at the University of St Andrews in 1995. The collection.
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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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  • Anti-exceptionalism about logic as tradition rejection.Ben Martin & Ole Thomassen Hjortland - 2022 - Synthese 200 (2):1-33.
    While anti-exceptionalism about logic is now a popular topic within the philosophy of logic, there’s still a lack of clarity over what the proposal amounts to. currently, it is most common to conceive of AEL as the proposal that logic is continuous with the sciences. Yet, as we show here, this conception of AEL is unhelpful due to both its lack of precision, and its distortion of the current debates. Rather, AEL is better understood as the rejection of certain traditional (...)
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  • Superexplanations for counterfactual knowledge.Antonella Mallozzi - 2020 - Philosophical Studies 178 (4):1315-1337.
    I discuss several problems for Williamson’s counterfactual-theory of modal knowledge and argue that they have a common source, in that the theory neglects to elucidate the proper constraints on modal reasoning. Williamson puts forward an empirical hypothesis that rests on the role of counterfactual reasoning for modal knowledge. But he overlooks central questions of normative modal epistemology. In order for counterfactual reasoning to yield correct beliefs about modality, it needs to be suitably constrained. I argue that what is needed is, (...)
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  • Is there a priori knowledge by testimony?Anna-Sara Malmgren - 2006 - Philosophical Review 115 (2):199-241.
  • Speaking with Shadows: A Study of Neo‐Logicism.Fraser MacBride - 2003 - British Journal for the Philosophy of Science 54 (1):103-163.
    According to the species of neo-logicism advanced by Hale and Wright, mathematical knowledge is essentially logical knowledge. Their view is found to be best understood as a set of related though independent theses: (1) neo-fregeanism-a general conception of the relation between language and reality; (2) the method of abstraction-a particular method for introducing concepts into language; (3) the scope of logic-second-order logic is logic. The criticisms of Boolos, Dummett, Field and Quine (amongst others) of these theses are explicated and assessed. (...)
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