Analogical Predictive Probabilities

Mind 128 (509):1-37 (2019)
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Abstract

It is well known that Rudolf Carnap’s original system of inductive logic failed to provide an adequate account of analogical reasoning. Since this problem was identified, there has been no shortage of proposals for how to incorporate analogy into inductive inference. Most alternatives to Carnap’s system, unlike his original one, have not been derived from first principles; this makes it to some extent unclear what the epistemic situations are to which they apply. This paper derives a new analogical inductive logic from a set of axioms which extend Carnap’s postulates in a natural way. The key insights come from Bruno de Finetti’s ideas about analogy. The axioms of the new system capture epistemic conditions that call for a strong kind of analogical reasoning. The new system has a number of merits, but is also subject to limitations. I shall discuss both, together with some possible ways to generalize the approach taken in this paper.

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Simon Huttegger
University of California, Irvine

Citations of this work

Confirmation by analogy.Francesco Nappo - 2022 - Synthese 200 (1):1-26.
A Causal Approach to Analogy.Wolfgang Pietsch - 2019 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 50 (4):489-520.
How to think about analogical inferences: A reply to Norton.Benjamin S. Genta - 2020 - Studies in History and Philosophy of Science Part A 82:17-24.
Speed-Optimal Induction and Dynamic Coherence.Michael Nielsen & Eric Wofsey - 2022 - British Journal for the Philosophy of Science 73 (2):439-455.
Inductive Reasoning with Multi-dimensional Concepts.Marta Sznajder - 2021 - British Journal for the Philosophy of Science 72 (2):465-484.

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References found in this work

The Continuum of Inductive Methods.Rudolf Carnap - 1953 - Philosophy 28 (106):272-273.
The Continuum of Inductive Methods.William H. Hay - 1953 - Philosophical Review 62 (3):468.
Analogy and confirmation theory.Mary Hesse - 1964 - Philosophy of Science 31 (4):319-327.

View all 24 references / Add more references