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Infinitism

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  • Scott Aikin (2009). Don't Fear the Regress: Cognitive Values and Epistemic Infinitism. Think 8 (23):55-61.
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  • Scott F. Aikin, Prospects for Peircian Epistemic Infinitism.
    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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  • Scott F. Aikin, Don't Fear the Regress: Epistemic Infinitism and Cognitive Value.
    This essay is an introductory overview of the considerations in favor of epistemic infinitism, the view that the demands of justification are that one must have non-terminating series of reasons for one's beliefs if they are to be knowledge.
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  • Scott F. Aikin (2008). Meta-Epistemology and the Varieties of Epistemic Infinitism. Synthese 163 (2).
    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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  • David Atkinson & Jeanne Peijnenburg, Justification by an Infinity of Conditional Probabilities.
    Today it is generally assumed that epistemic justification comes in degrees. The consequences, however, have not been adequately appreciated. In this paper we show that the assumption invalidates some venerable attacks on infinitism: once we accept that epistemic justification is gradual, an infinitist stance makes perfect sense. It is only without the assumption that infinitism runs into difficulties.
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  • Andrew D. Cling (2004). The Trouble with Infinitism. Synthese 138 (1).
    One way to solve the epistemic regress problem would be to show that we can acquire justification by means of an infinite regress. This is infinitism. This view has not been popular, but Peter Klein has developed a sophisticated version of infinitism according to which all justified beliefs depend upon an infinite regress of reasons. Klein's argument for infinitism is unpersuasive, but he successfully responds to the most compelling extant objections to the view. A key component of his position is (...)
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  • Carl Gillett (2003). Infinitism Redux? A Response to Klein. Philosophy and Phenomenological Research 66 (3):709–717.
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  • Alfred H. Lloyd (1911). Dualism, Parallelism and Infinitism. Mind 20 (78):212-234.
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  • Jeanne Peijnenburg (2007). Infinitism Regained. Mind 116 (463).
    Consider the following process of epistemic justification: proposition E0 is made probable by E1, which in turn is made probable by E2, which is made probable by E3, and so on. Can this process go on indefinitely? Foundationalists, coherentists, and sceptics claim that it cannot. I argue that it can: there are many infinite regresses of probabilistic reasoning that can be completed. This leads to a new form of epistemic infinitism.
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  • Adam C. Podlaskowski & Joshua A. Smith (forthcoming). Infinitism and Epistemic Normativity. Synthese.
    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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  • John Turri (forthcoming). Foundationalism for Modest Infinitists. Canadian Journal of Philosophy.
    Infinitists argue that their view outshines foundationalism because infinitism can, whereas foundationalism cannot, explain two of epistemic justification’s crucial features: it comes in degrees and it can be complete. I present four different ways that foundationalists could make sense of those two features of justification, thereby undermining the case for infinitism.
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  • John Turri (2009). An Infinitist Account of Doxastic Justification. Dialectica 63 (2):209-218.
    Any satisfactory epistemology must account for the distinction between propositional and doxastic justification. Can infinitism account for it? Proposals to date have been unsatisfactory. This paper advances a new infinitist account of the distinction. The discussion proceeds as follows. Section 1 sets the stage. Section 2 presents Peter Klein's account. Section 3 raises a problem for Klein's account and suggests an improvement. Section 4 raises a further challenge. Sections 5 to 7 consider several unsuccessful attempts to meet the challenge. Section (...)
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  • John Turri (2009). On the Regress Argument for Infinitism. Synthese 166 (1).
    This paper critically evaluates the regress argument for infinitism. The dialectic is essentially this. Peter Klein argues that only an infinitist can, without being dogmatic, enhance the credibility of a questioned non-evident proposition. In response, I demonstrate that a foundationalist can do this equally well. Furthermore, I explain how foundationalism can provide for infinite chains of justification. I conclude that the regress argument for infinitism should not convince us.
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