Margin for error semantics and signal perception

David Spector

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Abstract: 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 □□ and ◊□ in some one-dimensional frame, and to □ and another modality in some other.

Keywords: Margin for error; Sorites paradox; Intransitive frames; Positive introspection; Possible worlds semantics (search for similar items in EconPapers)
Date: 2013-10
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Published in Synthese, 2013, 190 (15), pp.3247-3263. ⟨10.1007/s11229-012-0155-2⟩

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Working Paper: Margin for error semantics and signal perception (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00916622

DOI: 10.1007/s11229-012-0155-2

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