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Logics of Ignorance and Being Wrong

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Author(s):
Gilbert, David ; Kubyshkina, Ekaterina ; Petrolo, Mattia ; Venturi, Giorgio
Total Authors: 4
Document type: Journal article
Source: LOGIC JOURNAL OF THE IGPL; v. N/A, p. 16-pg., 2021-07-19.
Abstract

This article investigates the connections between the logics of being wrong, introduced in Steinsvold (2011, Notre Dame J. Form. Log., 52, 245-253), and factive ignorance, presented in Kubyshkina and Petrolo (2021, Synthese, 198, 5917-5928). The first part of the paper provides a sound and complete axiomatization of the logic of factive ignorance that corrects errors in Kubyshkina and Petrolo (2021, Synthese, 198, 5917-5928) and resolves questions about the expressivity of the language. In the second half, it is shown that the relationship between the two logics suggests an alternative axiomatization for the logic of factive ignorance, the adequacy of which is easily proved via straightforward translations. (AU)

FAPESP's process: 16/25891-3 - Arbitrariness and genericity: or on how to speak of the unspeakable
Grantee:Giorgio Venturi
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 18/25501-6 - Epistemological and logical analysis of the notion of ignorance
Grantee:Ekaterina Kubyshkina
Support Opportunities: Scholarships in Brazil - Post-Doctoral