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.

中文翻译：

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十七世纪的经院哲学。在逻辑和数学之间？

17 世纪可以被视为一个（密切相关的）形式科学和自然科学创新以及哲学范式多样性的时代（由于至少人文主义、晚期经院和早期现代传统的共存）。在这种环境下，本研究侧重于学术逻辑，特别是三段论。在 17 世纪的学术逻辑中，可以确定两种不同的逻辑方法，一种以多米尼加人 Báñez、Poinsot 和 Comas del Brugar 为代表，另一种以耶稣会士 Hurtado、Arriaga、Oviedo 和 Compton 为代表。这两组作者可以在三个突出特征上进行对比。首先，在有效性理论的作用中，它要么是所有特定理论的共同基础（在这种情况下，是句子逻辑和三段论），或关于特定理论的一组观察结果（在这种情况下，三段论）。其次，从三段论的观点来看，它要么是一般有效性理论和术语语义的暗示，要么是结构化对象的代数。第三，在语言学术分析方面的作用假设，它要么是三段论的语义基础，要么被命题的语义所取代。