XI KANT KONGRESS, XI Congresso Kantiano Internazionale

Interpretations of Kantian Disjunctive Judgment in Propositional Logic

Marcel Quarfood

Edificio: Palazzo dei Congressi
Sala: sala Beccaria
Data: 22 maggio 2010 - 14:30
Ultima modifica: 13 aprile 2010

Abstract

Kant´s disjunctive judgment is often interpreted as the truth functional exclusive disjunction, aut. The present paper, taking its clue from recent logico-linguistic work on disjunction in natural language, argues that this is not a suitable interpretation, because of an unexpected feature of aut in expressions with more than two disjuncts. The proposal to replace disjunction with the biconditional in Kant´s table of judgments is also criticized. Though Kant´s disjunction may not after all be truth-functional, there are truth-functional options worth exploring, e.g. a ternary connective of exclusive disjunction, defined by Pelletier & Hartline. Its properties are briefly discussed in connection to two classic questions concerning Kant´s logic: whether it is complete from the vantage point of propositional logic, and why it lacks conjunction as an independent form.