Grounding principles for (relevant) implication

Francesca Poggiolesi (1)

1 IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques

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 paper aims at repairing this situation by proposing adequate grounding principles for relevant implication. Because of the interaction between negation and implication, new grounding principles concerning negation will also arise.

Domaines: Philosophie

Francesca Poggiolesi. Grounding principles for (relevant) implication. Synthese, In press. ⟨hal-02408446⟩