Theory and Decision 80 (1):159-166 (2016)

Authors
Thomas Icard
Stanford University
Wesley H. Holliday
University of California, Berkeley
Abstract
We prove that the generalized cancellation axiom for incomplete comparative probability relations introduced by Rios Insua and Alon and Lehrer is stronger than the standard cancellation axiom for complete comparative probability relations introduced by Scott, relative to their other axioms for comparative probability in both the finite and infinite cases. This result has been suggested but not proved in the previous literature
Keywords cancellation axioms  comparative probability  qualitative probability  incomplete relations
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DOI 10.1007/s11238-015-9491-2
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References found in this work BETA

The Foundations of Statistics.Leonard J. Savage - 1954 - Wiley Publications in Statistics.
The Foundations of Statistics.Leonard J. Savage - 1956 - Philosophy of Science 23 (2):166-166.
The Foundations of Statistics.Leonard J. Savage - 1959 - Synthese 11 (1):86-89.

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Citations of this work BETA

Comparative Probabilities.Jason Konek - 2019 - In Richard Pettigrew & Jonathan Weisberg (eds.), The Open Handbook of Formal Epistemology. PhilPapers Foundation. pp. 267-348.
‘Ramseyfying’ Probabilistic Comparativism.Edward Elliott - 2020 - Philosophy of Science 87 (4):727-754.
Axiomatization in the Meaning Sciences.Wesley H. Holliday & Thomas Icard - 2018 - In Derek Ball & Brian Rabern (eds.), The Science of Meaning: Essays on the Metatheory of Natural Language Semantics. Oxford, UK: Oxford University Press. pp. 73-97.

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