Margin for error semantics and signal perception

Spector, David
October 2013
Synthese;Oct2013, Vol. 190 Issue 15, p3247
Academic Journal
A joint modelling of objective worlds and subjective perceptions within two-dimensional semantics eliminates the margin for error principle and solves the epistemic sorites paradox. Two objective knowledge modalities can be defined in two-dimensional frames accounting for subjective perceptions: “necessary knowledge” ( NK) and “possible knowledge” ( PK), the latter being better suited to the interpretation of knowledge utterances. Two-dimensional semantics can in some cases be reduced to one-dimensional 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 one-dimensional frame, and to $${\square }$$ and another modality in some other.


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