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Infinitism

In Andrew Cullison (ed.), The Continuum Companion to Epistemology. New York: Continuum (2012)

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  1. Arbitrary Foundations? On Klein’s Objection to Foundationalism.Coos Engelsma - 2015 - Acta Analytica 30 (4):389-408.
    This paper evaluates Peter Klein’s objection to foundationalism. According to Klein, foundationalism fails because it allows arbitrariness “at the base.” I first explain that this objection can be interpreted in two ways: either as targeting dialectical foundationalism or as targeting epistemic foundationalism. I then clarify Klein’s concept of arbitrariness. An assertion or belief is assumed to be arbitrary if and only if it lacks a reason that is “objectively and subjectively available.” Drawing on this notion, I evaluate Klein’s objection. I (...)
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  • On Peter Klein's Concept of Arbitrariness.Coos Engelsma - 2014 - Metaphilosophy 45 (2):192-200.
    According to Peter Klein, foundationalism fails because it allows a vicious form of arbitrariness. The present article critically discusses his concept of arbitrariness. It argues that the condition Klein takes to be necessary and sufficient for an epistemic item to be arbitrary is neither necessary nor sufficient. It also argues that Klein's concept of arbitrariness is not a concept of something that is obviously vicious. Even if Klein succeeds in establishing that foundationalism allows what he regards as arbitrariness, this does (...)
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  • Infinitism, finitude and normativity.John Turri - 2013 - Philosophical Studies 163 (3):791-795.
    I evaluate two new objections to an infinitist account of epistemic justification, and conclude that they fail to raise any new problems for infinitism. The new objections are a refined version of the finite-mind objection, which says infinitism demands more than finite minds can muster, and the normativity objection, which says infinitism entails that we are epistemically blameless in holding all our beliefs. I show how resources deployed in response to the most popular objection to infinitism, the original finite-mind objection, (...)
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  • On the regress argument for infinitism.John Turri - 2009 - Synthese 166 (1):157 - 163.
    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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  • The reductio argument against epistemic infinitism.Tim Oakley - 2019 - Synthese 196 (9):3869-3887.
    Epistemic infinitism, advanced in different forms by Peter Klein, Scott Aikin, and David Atkinson and Jeanne Peijnenburg, is the theory that justification of a proposition for a person requires the availability to that person of an infinite, non-repeating chain of propositions, each providing a justifying reason for its successor in the chain. The reductio argument is the argument to the effect that infinitism has the consequence that no one is justified in any proposition, because there will be an infinite chain (...)
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