_ Source: _Volume 55, Issue 4, pp 273 - 306 Jan Dullaert was a direct student of John Mair and a teacher of Gaspar Lax, Juan de Celaya, and Juan Luis Vives. His commentary on Aristotle’s _Peri Hermeneias_ addresses the foundations of propositional logic, including a detailed analysis of conditionals and the semantics of logical connectives. Dullaert’s propositional logic is limited to the immediate implications of the semantics of these connectives, i.e., their introduction and elimination rules. In the same context, (...) he discusses several alternative treatments of semantic paradoxes, paying most attention to the approaches derived from Martin Le Maistre and John Mair. (shrink)