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From Arithmetic to Metaphysics

A Path through Philosophical Logic

Ed. by Florio, Ciro de / Giordani, Alessandro

Series:Philosophische Analyse / Philosophical Analysis 73

eBook (PDF)
Publication Date:
January 2018
Copyright year:
2018
ISBN
978-3-11-052949-4
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Measure-Entailment and Support in the Logic of Approximate Generalizations

Schurz, Gerhard / Adams, Ernest

Abstract

Adams’ logic of conditional epistemic probabilities (or “degrees of belief”) is well-known. However, there is also a logic of statistical probabilities expressing facts about the real world. In this paper these probabilities are called “degrees of truth” of open formulas that are considered as approximate generalizations. Based on Adams (1974), this paper presents a precise elaboration of the logic of unconditional and conditional degrees of truths, based on ameasure-theoretic notion of entailment and support, including a restricted completeness proof and applications to the theory of orderings, balanced structures and the notion of quasi-classical reasoning.

Citation Information

Gerhard Schurz, Ernest Adams (2018). Measure-Entailment and Support in the Logic of Approximate Generalizations. In Ciro de Florio, Alessandro Giordani (Eds.), From Arithmetic to Metaphysics: A Path through Philosophical Logic (pp. 341–372). Berlin, Boston: De Gruyter. https://doi.org/10.1515/9783110529494-021

Book DOI: https://doi.org/10.1515/9783110529494

Online ISBN: 9783110529494

© 2018 Walter de Gruyter GmbH, Berlin/Munich/BostonGet Permission

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