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LINGUISTIX&LOGIK, Tony Marmo's blog
Thursday, 23 September 2004

Topic: PARACONSISTENCY

Combining possibility and knowledge


By Alexandre Costa-Leite
Source: CLE

This paper is an attempt to define a new modality with philosophical interest by combining the basic modal ingredients of possibility and knowledge. This combination is realized via product of modal frames so as to construct a knowability modality, which is a bidimensional constructor of arity one defined in a two-dimensional modal frame. A semantical interpretation for the operator is proposed, as well as an axiomatic system able to account for inferences related to this new modality. The resulting logic for knowability LK is shown to be sound and complete with respect to its class of modal-epistemic product models.

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Posted by Tony Marmo at 01:01 BST
Updated: Thursday, 23 September 2004 05:12 BST

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