Justifying induction mathematically: Strategies and functions

Logique Et Analyse 51 (203):263 (2008)
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Abstract

If the total state of the universe is encodable by a real number, Hardin and Taylor have proved that there is a solution to one version of the problem of induction, or at least a solution to a closely related epistemological problem. Is this philosophical application of the Hardin-Taylor result modest enough? The paper advances grounds for doubt. [A longer and more detailed sequel to this paper, 'Proving Induction', was published in the Australasian Journal of Logic in 2011.]

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A. C. Paseau
University of Oxford

Citations of this work

Non-deductive justification in mathematics.A. C. Paseau - 2023 - Handbook of the History and Philosophy of Mathematical Practice.

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References found in this work

[Omnibus Review].Kenneth Kunen - 1969 - Journal of Symbolic Logic 34 (3):515-516.
A proof of induction?Alexander George - 2007 - Philosophers' Imprint 7:1-5.

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