Arbitrariness and genericity: or on how to speak of the unspeakable
| Full text | |
| Author(s): |
Coniglio, Marcelo E.
;
Peron, Newton M.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | LOGICA UNIVERSALIS; v. 7, n. 1, p. 16-pg., 2013-03-01. |
| Abstract | |
In this paper we introduce non-normal modal extensions of the sub-classical logics CLoN, CluN and CLaN, in the same way that S0.5(0) extends classical logic. The first modal system is both paraconsistent and paracomplete, while the second one is paraconsistent and the third is paracomplete. Despite being non-normal, these systems are sound and complete for a suitable Kripke semantics. We also show that these systems are appropriate for interpreting (sic) as "is provable in classical logic". This allows us to recover the theorems of propositional classical logic within three sub-classical modal systems. (AU) | |
| FAPESP's process: | 10/51038-0 - Logical consequence, reasoning and computation - LOGCONS |
| Grantee: | Walter Alexandre Carnielli |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 09/10239-5 - Studies on advanced paraconsistent modal logic |
| Grantee: | Newton Marques Peron |
| Support Opportunities: | Scholarships in Brazil - Doctorate |