Theorems and unawareness
Theorems and unawareness
This paper provides a set-theoretic model of knowledge and unawareness, in which reasoning through theorems is employed. A new property called Awareness Leads to Knowledge shows that unawareness of theorems not only constrains an agent's knowledge, but also, can impair his reasoning about what other agents know. For example, in contrast to Li (2006), Heifetz, Meier, and Schipper (2006) and the standard model of knowledge, it is possible that two agents disagree on whether another agent knows a particular event.
145-154
Association for Computing Machinery
Galanis, Spyros
66c2b7af-6f28-4319-be60-787796b4054c
2007
Galanis, Spyros
66c2b7af-6f28-4319-be60-787796b4054c
Galanis, Spyros
(2007)
Theorems and unawareness.
In Proceedings of the 11th conference on Theoretical aspects of rationality and knowledge.
Association for Computing Machinery.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
This paper provides a set-theoretic model of knowledge and unawareness, in which reasoning through theorems is employed. A new property called Awareness Leads to Knowledge shows that unawareness of theorems not only constrains an agent's knowledge, but also, can impair his reasoning about what other agents know. For example, in contrast to Li (2006), Heifetz, Meier, and Schipper (2006) and the standard model of knowledge, it is possible that two agents disagree on whether another agent knows a particular event.
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Published date: 2007
Venue - Dates:
11th conference on Theoretical Aspects of Rationality and Knowledge (TARK '07), Brussels, Belgium, 2007-06-25 - 2007-06-27
Identifiers
Local EPrints ID: 64198
URI: http://eprints.soton.ac.uk/id/eprint/64198
PURE UUID: 557eafa4-7d3a-484c-bca0-59ba501a561c
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Date deposited: 20 Jan 2009
Last modified: 05 Sep 2024 01:41
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Author:
Spyros Galanis
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