Dissertation, Ludwig-Maximilians-Universität München (2016)
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Abstract |
This thesis focuses on expressively rich languages that can formalise talk about probability. These languages have sentences that say something about probabilities of probabilities, but also sentences that say something about the probability of themselves. For example:
(π): “The probability of the sentence labelled π is not greater than 1/2.”
Such sentences lead to philosophical and technical challenges; but can be useful. For example they bear a close connection to situations where ones confidence in something can affect whether it is the case or not. The motivating interpretation of probability as an agent's degrees of belief will be focused on throughout the thesis.
This thesis aims to answer two questions relevant to such frameworks, which correspond to the two parts of the thesis: “How can one develop a formal semantics for this framework?” and “What rational constraints are there on an agent once such expressive frameworks are considered?”.
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Keywords | theories of truth probability liar paradox belief state dependence rationality |
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Reprint years | 2016 |
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References found in this work BETA
The Concept of Truth in Formalized Languages.Alfred Tarski - 1936 - In A. Tarski (ed.), Logic, Semantics, Metamathematics. Oxford University Press. pp. 152--278.
Two Principles of Bayesian Epistemology.William Talbott - 1991 - Philosophical Studies 62 (2):135-150.
From Classical to Intuitionistic Probability.Brian Weatherson - 2003 - Notre Dame Journal of Formal Logic 44 (2):111-123.
Citations of this work BETA
Deference Done Better.Kevin Dorst, Benjamin A. Levinstein, Bernhard Salow, Brooke E. Husic & Branden Fitelson - 2021 - Wiley: Philosophical Perspectives 35 (1):99-150.
Higher-Order Evidence.Kevin Dorst - forthcoming - In Maria Lasonen-Aarnio & Clayton Littlejohn (eds.), The Routledge Handbook for the Philosophy of Evidence. Routledge.
Limits in the Revision Theory: More Than Just Definite Verdicts.Catrin Campbell-Moore - 2019 - Journal of Philosophical Logic 48 (1):11-35.
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