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SEVENTEENTH-CENTURY SCHOLASTIC SYLLOGISTICS. BETWEEN LOGIC AND MATHEMATICS?

Published online by Cambridge University Press:  28 January 2019

MIROSLAV HANKE*
Affiliation:
Institute of Philosophy of the Czech Academy of Sciences
*
*DEPARTMENT FOR THE STUDY OF ANCIENT AND MEDIEVAL THOUGHT INSTITUTE OF PHILOSOPHY OF THE CZECH ACADEMY OF SCIENCES JILSKÁ1, 110 00 PRAGUE 1 CZECH REPUBLIC E-mail: hanke@flu.cas.cz

Abstract

The seventeenth century can be viewed as an era of (closely related) innovation in the formal and natural sciences and of paradigmatic diversity in philosophy (due to the coexistence of at least the humanist, the late scholastic, and the early modern tradition). Within this environment, the present study focuses on scholastic logic and, in particular, syllogistic. In seventeenth-century scholastic logic two different approaches to logic can be identified, one represented by the Dominicans Báñez, Poinsot, and Comas del Brugar, the other represented by the Jesuits Hurtado, Arriaga, Oviedo, and Compton. These two groups of authors can be contrasted in three prominent features. First, in the role of the theory of validity, which is either a common basis for all particular theories (in this case, sentential logic and syllogistic), or a set of observations regarding a particular theory (in this case, syllogistic). Second, in the view of syllogistic, which is either an implication of a general theory of validity and a semantics of terms, or an algebra of structured objects. Third, in the role of the scholastic analysis of language in terms of suppositio, which either is a semantic underpinning of syllogistic, or it is replaced by a semantics of propositions.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2019 

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SEVENTEENTH-CENTURY SCHOLASTIC SYLLOGISTICS. BETWEEN LOGIC AND MATHEMATICS?
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