LIRa Session: Francesca Poggiolesi

Speaker: Francesca Poggiolesi

Date and Time: Thursday, October 21st 2021, 16:30-18:00, Amsterdam time.

Venue: online.

Title: Grounding principles for (relevant) implication

Abstract.

Most of the logics of grounding that have so far been proposed contain grounding axioms, or grounding rules, for the connectives of conjunction, disjunction and negation, but little attention has been dedicated to the implication connective. The present talk aims at repairing this situation by proposing adequate grounding principles for (relevant) implication. Such a goal is reached by adopting a novel neo-Bolzanian conception of grounding, which is far from the metaphysical context of contemporary literature.  Because of the interaction between negation and implication, new grounding principles concerning negation will also arise.