Philosophy of Logic & Mathematics · Whether correct logic is unique

Logical Pluralism / Paraconsistent Logic

More than one logic may be legitimate, and some systems permit reasoning with contradictions without collapse.

What it claims

Logical pluralism allows multiple legitimate consequence relations. Beall and Restall begin with the requirement that a conclusion be true in every case in which its premises are true. Different appropriate interpretations of cases—worlds, constructions, or situations—motivate classical, intuitionistic, or relevant approaches.

Nearby positions

Key thinkers

Graham Priest · JC Beall · Greg Restall · Newton da Costa · Richard Routley