A temporal logic for sortals

Studia Logica 69 (3):351-380 (2001)
With the past and future tense propositional operators in its syntax, a formal logical system for sortal quantifiers, sortal identity and (second order) quantification over sortal concepts is formulated. A completeness proof for the system is constructed and its absolute consistency proved. The completeness proof is given relative to a notion of logical validity provided by an intensional semantic system, which assumes an approach to sortals from a modern form of conceptualism.
Keywords Philosophy   Logic   Mathematical Logic and Foundations   Computational Linguistics
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DOI 10.1023/A:1013840126121
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Max A. Freund (2004). A Modal Sortal Logic. Journal of Philosophical Logic 33 (3):237-260.
Max A. Freund (2007). A Two Dimensional Tense-Modal Sortal Logic. Journal of Philosophical Logic 36 (5):571 - 598.

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