Some considerations about duality and metainferences

BRUNO DA RE; FEDERICO PAILOS; DAMIÁN SZMUC; PAULA TEIJEIRO

Workshop; Workshop on Validity and Metainferences; 2018

In this talk we try to characterize the notion of metainferential duality. First, we presente the philosphical motivations related with the notion of duality. Secondly, we show the limitations of some possible approaches, say, those related with translations and with the external logic. Third, we modify the usual framework in two ways: (1) with a meta-negation and (2) with multiple meta-conclusions. With these, we define metainferential duality, prove the duality be-tween ST and TS, and present some positive results regarding therelation between cut and reflexivity.