Authors: David Spector
Publish Date: 2012/07/24
Volume: 190, Issue: 15, Pages: 3247-3263
Abstract
A joint modelling of objective worlds and subjective perceptions within twodimensional semantics eliminates the margin for error principle and solves the epistemic sorites paradox Two objective knowledge modalities can be defined in twodimensional frames accounting for subjective perceptions “necessary knowledge” NK and “possible knowledge” PK the latter being better suited to the interpretation of knowledge utterances Twodimensional semantics can in some cases be reduced to onedimensional ones by defining accessibility relations between objective worlds that reflect subjective perceptions NK and PK are respectively equivalent to square square and lozenge square in some onedimensional frame and to square and another modality in some other
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