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An Existence Theorem for the Logic of Decision

Published online by Cambridge University Press:  01 April 2022

Ethan D. Bolker
Ethan D. Bolker*
Affiliation:
University of Massachusetts, Boston
*
†Send requests for reprints to the author, Department of Mathematics and Computer Science, University of Massachusetts, Boston, MA 02125–3393; e-mail: eb@cs.umb.edu.
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Abstract

In this paper I discuss some of the mathematics behind an often quoted existence theorem from Richard Jeffrey's The Logic of Decision (Jeffrey 1990) in order to pose several new questions about the meaning and value of that mathematics for decision theory.

Type
A Symposium in Honor of Richard Jeffrey
Information
Philosophy of Science , Volume 67 , Issue S3: Supplement. Proceedings of the 1998 Biennial Meetings of the Philosophy of Science Association. Part II: Symposia Papers Sep., 2000 , 2000 , pp. S14 - S17
Copyright
Copyright © 2000 by the Philosophy of Science Association

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Footnotes

‡

Thanks to Dick Jeffrey for the 36 years of friendship and collaboration that began with an existence theorem for the logic of decision.

References

Bolker, Ethan D. (1966), “Functions Resembling Quotients of Measures”, Transactions of the American Mathematical Society 124: 292–312.CrossRefGoogle Scholar
Bolker, Ethan D. (1967), “A Simultaneous Axiomatization of Utility and Subjective Probability”, Philosophy of Science 34: 333–340.CrossRefGoogle Scholar
Jeffrey, Richard C. (1990), The Logic of Decision, 2nd ed. Chicago and London: University of Chicago Press.Google Scholar