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  1. Approaching Infinity.Michael Huemer - 2016 - New York: Palgrave Macmillan.
    Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It (...)
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  • Does Klein’s infinitism offer a response to Agrippa’s trilemma?Stephen Wright - 2013 - Synthese 190 (6):1113-1130.
    The regress of reasons threatens an epistemic agent’s right to claim that any beliefs are justified. In response, Peter Klein’s infinitism argues that an infinite series of supporting reasons of the right type not only is not vicious but can make for epistemic justification. In order to resist the sceptic, infinitism needs to provide reason to think that there is at least one justified belief in the world. Under an infinitist conception this involves showing that at least one belief is (...)
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  • Regress Argument Reconstruction.Jan Willem Wieland - 2012 - Argumentation 26 (4):489-503.
    If an argument can be reconstructed in at least two different ways, then which reconstruction is to be preferred? In this paper I address this problem of argument reconstruction in terms of Ryle’s infinite regress argument against the view that knowledge-how requires knowledge-that. First, I demonstrate that Ryle’s initial statement of the argument does not fix its reconstruction as it admits two, structurally different reconstructions. On the basis of this case and infinite regress arguments generally, I defend a revisionary take (...)
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  • Infinite Regress Arguments.Jan Willem Wieland - 2013 - Acta Analytica 28 (1):95-109.
    Infinite regress arguments play an important role in many distinct philosophical debates. Yet, exactly how they are to be used to demonstrate anything is a matter of serious controversy. In this paper I take up this metaphilosophical debate, and demonstrate how infinite regress arguments can be used for two different purposes: either they can refute a universally quantified proposition (as the Paradox Theory says), or they can demonstrate that a solution never solves a given problem (as the Failure Theory says). (...)
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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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  • Prospects for A Levinasian Epistemic Infinitism.J. Aaron Simmons & Scott F. Aikin - 2012 - International Journal of Philosophical Studies 20 (3):437-460.
    Abstract Epistemic infinitism is certainly not a majority view in contemporary epistemology. While there are some examples of infinitism in the history of philosophy, more work needs to be done mining this history in order to provide a richer understanding of how infinitism might be formulated internal to different philosophical frameworks. Accordingly, we argue that the philosophy of Emmanuel Levinas can be read as operating according to an ?impure? model of epistemic infinitism. The infinite obligation inaugurated by the ?face to (...)
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  • Probabilistic Regresses and the Availability Problem for Infinitism.Adam C. Podlaskowski & Joshua A. Smith - 2014 - Metaphilosophy 45 (2):211-220.
    Recent work by Peijnenburg, Atkinson, and Herzberg suggests that infinitists who accept a probabilistic construal of justification can overcome significant challenges to their position by attending to mathematical treatments of infinite probabilistic regresses. In this essay, it is argued that care must be taken when assessing the significance of these formal results. Though valuable lessons can be drawn from these mathematical exercises (many of which are not disputed here), the essay argues that it is entirely unclear that the form of (...)
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  • Infinitism and epistemic normativity.Adam C. Podlaskowski & Joshua A. Smith - 2011 - Synthese 178 (3):515-527.
    Klein’s account of epistemic justification, infinitism, supplies a novel solution to the regress problem. We argue that concentrating on the normative aspect of justification exposes a number of unpalatable consequences for infinitism, all of which warrant rejecting the position. As an intermediary step, we develop a stronger version of the ‘finite minds’ objection.
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  • The Need for Justification.Jeanne Peijnenburg & David Atkinson - 2014 - Metaphilosophy 45 (2):201-210.
    Some series can go on indefinitely, others cannot, and epistemologists want to know in which class to place epistemic chains. Is it sensible or nonsensical to speak of a proposition or belief that is justified by another proposition or belief, ad infinitum? In large part the answer depends on what we mean by “justification.” Epistemologists have failed to find a definition on which everybody agrees, and some have even advised us to stop looking altogether. In spite of this, the present (...)
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  • Probabilistic Justification and the Regress Problem.Jeanne Peijnenburg & David Atkinson - 2008 - Studia Logica 89 (3):333-341.
    We discuss two objections that foundationalists have raised against infinite chains of probabilistic justification. We demonstrate that neither of the objections can be maintained.
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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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  • Human knowledge and the infinite progress of reasoning.Peter Klein - 2007 - Philosophical Studies 134 (1):1 - 17.
    The purpose of this paper is to explain how infinitism—the view that reasons are endless and non-repeating—solves the epistemic regress problem and to defend that solution against some objections. The first step is to explain what the epistemic regress problem is and, equally important, what it is not. Second, I will discuss the foundationalist and coherentist responses to the regress problem and offer some reasons for thinking that neither response can solve the problem, no matter how they are tweaked. Then, (...)
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  • Believing for a Reason is (at least) Nearly Self-Intimating.Sophie Keeling - 2022 - Erkenntnis.
    This paper concerns a specific epistemic feature of believing for a reason (e.g., believing that it will rain on the basis of the grey clouds outside). It has commonly been assumed that our access to such facts about ourselves is akin in all relevant respects to our access to why other people hold their beliefs. Further, discussion of self-intimation - that we are necessarily in a position to know when we are in certain conditions - has centred largely around mental (...)
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  • Impure Infinitism and the Evil Demon Argument.Husein Inusah - 2016 - E-Logos 23 (1):13-24.
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  • Epistemic infinitism and the conditional character of inferential justification.Erhan Demircioglu - 2018 - Synthese 195 (5):2313-2334.
    In this paper, I will present and defend an argument from the conditional character of inferential justification against the version of epistemic infinitism Klein advances. More specifically, after proposing a distinction between propositional and doxastic infinitism, which is based on a standard distinction between propositional and doxastic justification, I will describe in considerable detail the argument from conditionality, which is mainly an argument against propositional infinitism, and clarify some of its main underlying assumptions. There are various responses to be found (...)
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  • No lacuna and no vicious regress: A reply to le poidevin.Christina Conroy - 2008 - Acta Analytica 23 (4):367-372.
    In his “Space, supervenience and substantivalism”, Le Poidevin proposes a substantivalism in which space is discrete, implying that there are unmediated spatial relations between neighboring primitive points. This proposition is motivated by his concern that relationism suffers from an explanatory lacuna and that substantivalism gives rise to a vicious regress. Le Poidevin implicitly requires that the relationist be committed to the “only x and y ” principle regarding spatial relations. It is not obvious that the relationist is committed to this (...)
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  • Viciousness and the structure of reality.Ricki Leigh Bliss - 2013 - Philosophical Studies 166 (2):399-418.
    Given the centrality of arguments from vicious infinite regress to our philosophical reasoning, it is little wonder that they should also appear on the catalogue of arguments offered in defense of theses that pertain to the fundamental structure of reality. In particular, the metaphysical foundationalist will argue that, on pain of vicious infinite regress, there must be something fundamental. But why think that infinite regresses of grounds are vicious? I explore existing proposed accounts of viciousness cast in terms of contradictions, (...)
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  • What Work the Fundamental?Ricki Leigh Bliss - 2019 - Erkenntnis 84 (2):359-379.
    Although it is very often taken for granted that there is something fundamental, the literature appears to have developed with little to no careful consideration of what exactly it is that the fundamentalia are supposed to do. If we are to have a good reason to believe that there is something fundamental, we need not only to know what exactly it is that the fundamentalia are invoked for, but why it is that nothing else is available for the task to (...)
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  • The Unity of Grounding.Selim Berker - 2018 - Mind 127 (507):729-777.
    I argue—contra moderate grounding pluralists such as Kit Fine and more extreme grounding pluralists such as Jessica Wilson—that there is fundamentally only one grounding/in-virtue-of relation. I also argue that this single relation is indispensable for normative theorizing—that we can’t make sense of, for example, the debate over consequentialism without it. It follows from what I argue that there is no metaethically-pure normative ethics.
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  • Who is Afraid of Epistemology’s Regress Problem?Scott F. Aikin - 2005 - Philosophical Studies 126 (2):191-217.
    What follows is a taxonomy of arguments that regresses of inferential justification are vicious. They fall out into four general classes: conceptual arguments from incompleteness, conceptual arguments from arbitrariness, ought-implies-can arguments from human quantitative incapacities, and ought-implies can arguments from human qualitative incapacities. They fail with a developed theory of "infinitism" consistent with valuational pluralism and modest epistemic foundationalism.
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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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  • Grammar, Ontology, and the Unity of Meaning.Ulrich Reichard - 2013 - Dissertation, University of Durham
    Words have meaning. Sentences also have meaning, but their meaning is different in kind from any collection of the meanings of the words they contain. I discuss two puzzles related to this difference. The first is how the meanings of the parts of a sentence combine to give rise to a unified sentential meaning, as opposed to a mere collection of disparate meanings (UP1). The second is why the formal ontology of linguistic meaning changes when grammatical structure is built up (...)
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