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Some Formal Semantics for Epistemic Modesty.
- Source :
- Logic & Logical Philosophy; 2020, Vol. 29 Issue 3, p381-413, 33p
- Publication Year :
- 2020
-
Abstract
- Given the frequency of human error, it seems rational to believe that some of our own rational beliefs are false. This is the axiom of epistemic modesty. Unfortunately, using standard propositional quantification, and the usual relational semantics, this axiom is semantically inconsistent with a common logic for rational belief, namely KD45. Here we explore two alternative semantics for KD45 and the axiom of epistemic modesty. The first uses the usual relational semantics and bisimulation quantifiers. The second uses a topological semantics and standard propositional quantification. We show the two different semantics validate many of the same formulas, though we do not know whether they validate exactly the same formulas. Along the way we address various philosophical concerns. [ABSTRACT FROM AUTHOR]
- Subjects :
- SEMANTICS
KRIPKE semantics
MODESTY
HUMAN error
BISIMULATION
Subjects
Details
- Language :
- English
- ISSN :
- 14253305
- Volume :
- 29
- Issue :
- 3
- Database :
- Supplemental Index
- Journal :
- Logic & Logical Philosophy
- Publication Type :
- Academic Journal
- Accession number :
- 144434213
- Full Text :
- https://doi.org/10.12775/LLP.2020.002