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Syntactic foundations for unawareness of theorems

Syntactic foundations for unawareness of theorems
Syntactic foundations for unawareness of theorems
We provide a syntactic model of unawareness. By introducing multiple knowledge modalities, one for each sub-language, we specifically model agents whose only mistake in reasoning (other than their unawareness) is to underestimate the knowledge of more aware agents. We show that the model is a complete and sound axiomatization of the set-theoretic model of Galanis [2007] and compare it with other unawareness models in the literature.
unawareness, uncertainty, knowledge, interactive epistemology, modal logic, bounded perception
593-614
Galanis, Spyros
66c2b7af-6f28-4319-be60-787796b4054c
Galanis, Spyros
66c2b7af-6f28-4319-be60-787796b4054c

Galanis, Spyros (2011) Syntactic foundations for unawareness of theorems. Theory and Decision, 71 (4), 593-614. (doi:10.1007/s11238-010-9218-3).

Record type: Article

Abstract

We provide a syntactic model of unawareness. By introducing multiple knowledge modalities, one for each sub-language, we specifically model agents whose only mistake in reasoning (other than their unawareness) is to underestimate the knowledge of more aware agents. We show that the model is a complete and sound axiomatization of the set-theoretic model of Galanis [2007] and compare it with other unawareness models in the literature.

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More information

Published date: October 2011
Keywords: unawareness, uncertainty, knowledge, interactive epistemology, modal logic, bounded perception
Organisations: Economics

Identifiers

Local EPrints ID: 155605
URI: http://eprints.soton.ac.uk/id/eprint/155605
PURE UUID: ae0934f0-42b4-49fd-a87f-e6c3e677e131
ORCID for Spyros Galanis: ORCID iD orcid.org/0000-0003-4286-7449

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Date deposited: 01 Jun 2010 13:02
Last modified: 14 Mar 2024 01:40

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Contributors

Author: Spyros Galanis ORCID iD

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