Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

This post was updated Aug. 31 at 7:59 p.m. Warning: Spoilers for R.F. Kuang’s “Katabasis” ahead. “Katabasis” is an intriguing book for academics but possibly a challenging journey for casual readers.

The object of this paper is to show how one is able to construct a paraconsistent theory of models that reflects much of the classical one. In other words the aim is to demonstrate that there is a ...

Tradition states that above the entrance to Plato’s Academy were inscribed the words, “Let no one ignorant of geometry enter here.” A student in the modal logic interim course studies how subjunctives ...