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- Title
Jan Dullaert of Ghent on the Foundations of Propositional Logic.
- Authors
Hanke, Miroslav
- Abstract
Jan Dullaert (1480-1513) 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 (following Paul of Venice's Logica magna) and the semantics of logical connectives (conjunction, disjunction, and implication). 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 (based on the idea that sentential meaning is closed under entailment) and John Mair (based on the idea that self-falsifying sentences are false).
- Subjects
PROPOSITION (Logic); CELAYA, Juan de; CONDITIONALS (Logic); SEMANTICS; LE Maistre, Martin
- Publication
Vivarium, 2017, Vol 55, Issue 4, p273
- ISSN
0042-7543
- Publication type
Article
- DOI
10.1163/15685349-12341348