PUB - Publikationen an der Universität Bielefeld

This article defends the view that the logical vocabulary of syllogistic is sufficient for representing the logical form of rules and laws of non-syllogistic (classical or non-classical) predicate logic. This representation requires replacement only of the descriptive vocabulary of syllogistic (i. e. of variables for terms) by non-syllogistic descriptive signs. The validity of rules and laws of modern (classical or non-classical) predicate logic rests on the validity of rules and laws which can without exception be represented in the formal language of syllogistic. Expressions of this language are representations of logical form. Frege‘s view that relationships between logical subjects and logical predicates can be “reduced” to relationships between functions and arguments confuses logical and grammatical subjects as well as logical and grammatical predicates.