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  • This paper introduces and explores semantics for propositional laguage in which every logical operator is intensional in a specific sense: its meaning is not based on truth conditions but on assertibility conditions. Assertibility is a relation between contexts and formulas, and contexts are modeled as sets of possible worlds. In the semantics, the consequence relation preserves assertibility instead truth. A system of natural deduction for this semantics is formulated and completeness proved. At the end, the semantics is compared with two similar frameworks: Wansing's constructive connexive logic and inquisitive semantics.
  • This paper introduces and explores semantics for propositional laguage in which every logical operator is intensional in a specific sense: its meaning is not based on truth conditions but on assertibility conditions. Assertibility is a relation between contexts and formulas, and contexts are modeled as sets of possible worlds. In the semantics, the consequence relation preserves assertibility instead truth. A system of natural deduction for this semantics is formulated and completeness proved. At the end, the semantics is compared with two similar frameworks: Wansing's constructive connexive logic and inquisitive semantics. (en)
Title
  • Intensionalisation of Logical Operators
  • Intensionalisation of Logical Operators (en)
skos:prefLabel
  • Intensionalisation of Logical Operators
  • Intensionalisation of Logical Operators (en)
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  • RIV/67985955:_____/14:00436789!RIV15-GA0-67985955
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  • I, P(GA13-21076S)
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  • 22245
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  • RIV/67985955:_____/14:00436789
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  • semantics; assertibility; intensionality; logical operators; natural deduction (en)
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  • [ED541B08AB37]
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  • Hejnice
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  • The logica yearbook 2013
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  • Punčochář, Vít
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number of pages
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  • College Publications
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  • 978-1-84890-144-5
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