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The trouble with infinitism

Synthese 138 (1):101 - 123 (2004)

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  1. Scientific Realism, Adaptationism and the Problem of the Criterion.Fabio Sterpetti - 2015 - Kairos 13 (1):7-45.
    Scientific Realism (SR) has three crucial aspects: 1) the centrality of the concept of truth, 2) the idea that success is a reliable indicator of truth, and 3) the idea that the Inference to the Best Explanation is a reliable inference rule. It will be outlined how some realists try to overcome the difficulties which arise in justifying such crucial aspects relying on an adaptationist view of evolutionism, and why such attempts are inadequate. Finally, we will briefly sketch some 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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  • Can Infinitists Handle the Finite Mind Objection and the Distinction Objection?Bin Zhao - 2021 - Philosophia 49 (5):2275-2291.
    This paper examines two objections to the infinitist theory of epistemic justification, namely “the finite mind objection” and “the distinction objection.” It criticizes Peter Klein’s response to the distinction objection and offers a more plausible response. It is then argued that this response is incompatible with Klein’s response to the finite mind objection. Infinitists, it would seem, cannot handle both objections when taken together.
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  • Creative reasoning.John Turri - 2014 - In John Turri & Peter D. Klein (eds.), Ad infinitum: new essays on epistemological infinitism. New York, NY: Oxford University Press. pp. 210-226.
    I defend the unpopular view that inference can create justification. I call this view inferential creationism. Inferential creationism has been favored by infinitists, who think that it supports infinitism. But it doesn’t. Finitists can and should accept creationism.
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  • Fading Foundations: Probability and the Regress Problem.Jeanne Peijnenburg - 2017 - Cham, Switzerland: Springer. Edited by Jeanne Peijnenburg.
    This Open Access book addresses the age-old problem of infinite regresses in epistemology. How can we ever come to know something if knowing requires having good reasons, and reasons can only be good if they are backed by good reasons in turn? The problem has puzzled philosophers ever since antiquity, giving rise to what is often called Agrippa's Trilemma. The current volume approaches the old problem in a provocative and thoroughly contemporary way. Taking seriously the idea that good reasons are (...)
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  • Mathematical Knowledge, the Analytic Method, and Naturalism.Fabio Sterpetti - 2018 - In Sorin Bangu (ed.), Naturalizing Logico-Mathematical Knowledge: Approaches From Psychology and Cognitive Science. New York: Routledge. pp. 268-293.
    This chapter tries to answer the following question: How should we conceive of the method of mathematics, if we take a naturalist stance? The problem arises since mathematical knowledge is regarded as the paradigm of certain knowledge, because mathematics is based on the axiomatic method. Moreover, natural science is deeply mathematized, and science is crucial for any naturalist perspective. But mathematics seems to provide a counterexample both to methodological and ontological naturalism. To face this problem, some authors tried to naturalize (...)
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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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  • Foundationalism with infinite regresses of probabilistic support.William Roche - 2018 - Synthese 195 (9):3899-3917.
    There is a long-standing debate in epistemology on the structure of justification. Some recent work in formal epistemology promises to shed some new light on that debate. I have in mind here some recent work by David Atkinson and Jeanne Peijnenburg, hereafter “A&P”, on infinite regresses of probabilistic support. A&P show that there are probability distributions defined over an infinite set of propositions {\ such that \ is probabilistically supported by \ for all i and \ has a high probability. (...)
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  • Models, Brains, and Scientific Realism.Fabio Sterpetti - 2006 - In Lorenzo Magnani & Claudia Casadio (eds.), Model Based Reasoning in Science and Technology. Logical, Epistemological, and Cognitive Issues. Cham, Switzerland: Springer International Publishing. pp. 639-661.
    Prediction Error Minimization theory (PEM) is one of the most promising attempts to model perception in current science of mind, and it has recently been advocated by some prominent philosophers as Andy Clark and Jakob Hohwy. Briefly, PEM maintains that “the brain is an organ that on aver-age and over time continually minimizes the error between the sensory input it predicts on the basis of its model of the world and the actual sensory input” (Hohwy 2014, p. 2). An interesting (...)
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  • Prospects for Peircean Epistemic Infinitism.Scott F. Aikin - 2009 - Contemporary Pragmatism 6 (2):71-87.
    Epistemic infinitism is the view that infinite series of inferential relations are productive of epistemic justification. Peirce is explicitly infinitist in his early work, namely his 1868 series of articles. Further, Peirce's semiotic categories of firsts, seconds, and thirds favors a mixed theory of justification. The conclusion is that Peirce was an infinitist, and particularly, what I will term an impure infinitist. However, the prospects for Peirce's infinitism depend entirely on the prospects for Peirce's early semantics, which are not good. (...)
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  • Eight journals over eight decades: a computational topic-modeling approach to contemporary philosophy of science.Christophe Malaterre, Francis Lareau, Davide Pulizzotto & Jonathan St-Onge - 2020 - Synthese 199 (1-2):2883-2923.
    As a discipline of its own, the philosophy of science can be traced back to the founding of its academic journals, some of which go back to the first half of the twentieth century. While the discipline has been the object of many historical studies, notably focusing on specific schools or major figures of the field, little work has focused on the journals themselves. Here, we investigate contemporary philosophy of science by means of computational text-mining approaches: we apply topic-modeling algorithms (...)
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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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  • The Epistemic Regress Problem, the Problem of the Criterion, and the Value of Reasons.Andrew D. Cling - 2014 - Metaphilosophy 45 (2):161-171.
    There are important similarities between the epistemic regress problem and the problem of the criterion. Each turns on plausible principles stating that epistemic reasons must be supported by epistemic reasons but that having reasons is impossible if that requires having endless regresses of reasons. These principles are incompatible with the possibility of reasons, so each problem is a paradox. Whether there can be an antiskeptical solution to these paradoxes depends upon the kinds of reasons that we need in order to (...)
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  • The epistemic regress problem.Andrew D. Cling - 2008 - Philosophical Studies 140 (3):401 - 421.
    The best extant statement of the epistemic regress problem makes assumptions that are too strong. An improved version assumes only that that reasons require support, that no proposition is supported only by endless regresses of reasons, and that some proposition is supported. These assumptions are individually plausible but jointly inconsistent. Attempts to explain support by means of unconceptualized sensations, contextually immunized propositions, endless regresses, and holistic coherence all require either additional reasons or an external condition on support that is arbitrary (...)
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  • Meta-epistemology and the varieties of epistemic infinitism.Scott F. Aikin - 2008 - Synthese 163 (2):175-185.
    I will assume here the defenses of epistemic infinitism are adequate and inquire as to the variety standpoints within the view. I will argue that infinitism has three varieties depending on the strength of demandingness of the infinitist requirement and the purity of its conception of epistemic justification, each of which I will term strong pure, strong impure, and weak impure infinitisms. Further, I will argue that impure infinitisms have the dialectical advantage.
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  • (1 other version)Infinitism and Inferential Externalism.Tito Flores - 2015 - Veritas – Revista de Filosofia da Pucrs 60 (3):566-578.
    The purpose of this essay is to show that the version of epistemological infinitism defended by Peter Klein is externalistic in character. I present the most important questions infinitism is supposed to resolve and also present the fundamental difference regarding internalism and externalism in epistemology. I conclude with an indication of what would be the best way to understand infinitism and how to evade the problems that emerge from Klein’s externalist infinitism.
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  • Infinitism and Dispositional Beliefs.Husein Inusah - 2014 - E-Logos 21 (1):1-11.
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  • Impure Infinitism and the Evil Demon Argument.Husein Inusah - 2016 - E-Logos 23 (1):13-24.
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  • Propositional Justification and Infinitism.Tito Flores - 2017 - Manuscrito 40 (4):141-158.
    ABSTRACT This essay presents the chief reasons for making a distinction between propositional and doxastic justification and, also, points out two things: no theory of propositional justification implies a theory of doxastic justification; infinitism is, essentially, a theory of propositional justification. Additionally, this paper tries to shed some light on the three conjointly sufficient conditions for a proper infinitist view of propositional justification.
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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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  • (1 other version)Infinitismo e externalismo inferencial.Tito Flores - 2015 - Veritas – Revista de Filosofia da Pucrs 60 (3):566-578.
    O propósito deste ensaio é mostrar que a versão de infinitismo epistemológico defendida por Peter Klein é uma forma de externalismo. São apresentados os problemas mais importantes que o infinitismo deve resolver e também a diferença fundamental entre internalismo e externalismo em epistemologia. Como conclusão, é apresentada uma indicação sobre a melhor maneira de entender o infinitismo e como superar os problemas que surgem da forma externalista de infinitismo defendida por Klein.
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