Semantic Closure, Descriptions and Non-Triviality
- Cite this article as:
- Priest, G. Journal of Philosophical Logic (1999) 28: 549. doi:10.1023/A:1004608013532
It is known that a semantically closed theory with description may well be trivial if the principles concerning denotation and descriptions are formulated in certain ways, even if the underlying logic is paraconsistent. This paper establishes the non-triviality of a semantically closed theory with a natural, but non-extensional, description operator.