Three distinctly different interpretations of Aristotle’s notion of a sullogismos in Prior Analytics can be traced: (1) a valid or invalid premise-conclusion argument (2) a single, logically true conditional proposition and (3) a cogent argumentation or deduction. Remarkably the three interpretations hold similar notions about the logical relationships among the sullogismoi. This is most apparent in their conflating three processes that Aristotle especially distinguishes: completion (A4-6)reduction(A7) and analysis (A45). Interpretive problems result from not sufficiently recognizing Aristotle’s remarkable degree of metalogical (...) sophistication to distinguish logical syntax from semantics and, thus, also from not grasping him to refine the deduction system of his underlying logic. While it is obvious that Aristotle most often uses ‘sullogimos’ to denote a valid argument of a certain kind, we show that at Prior Analytics A4-6, 7, 45 Aristotle specifically treats a sullogismos as an elemental argument pattern having only valid instances and that such a pattern then serves as a rule of deduction in his syllogistic logic. By extracting Aristotle’s understanding of three proof-theoretic processes, this paper provides new insight into what Aristotle thinks reasoning syllogistically is and, moreover, it resolves three problems in the most recent interpretation that takes a sullogismos to be a deduction. (shrink)

The purpose of the paper is to discuss Aristotle’s account of homonymy. The major thesis advocated here is that Aristotle considers both entities and words to be homonymous, depending on the object of his criticism. Thus, when he takes issue with Plato, he tends to view homonymy more ontologically, upon which it is entities that become homonymous. When, on the other hand, he gainsays the exegetes or the sophists, he is inclined to perceive homonymy more semantically, upon which it is (...) words that become homonymous. Subsequently, this article shows that Aristotle values homonymy negatively in dialectical discussions, but positively in rhetorical and poetic arts. Finally, the present paper demonstrates that Aristotle regards systematic homonymy as a very useful theoretical tool that makes it possible to critically examine the basic terminological assumptions of any philosophical inquiry. (shrink)

ABSTRACT We critically review two extant paradigms for understanding the systematic interaction between modality and tense, as well as their respective modifications designed to do justice to the contingency of time’s structure and composition. We show that on either type of theory, as well as their respective modifications, some principles prove logically valid whose truth might sensibly be questioned on metaphysical grounds. These considerations lead us to devise a more general logical framework that allows accommodation of those metaphysical views that (...) its predecessors rule out by fiat. (shrink)

Epicureans and Stoics reject the independent existence of the Platonic Ideas. This paper assesses what both schools put forward as substitutes for universals. Both Epicureans and Stoics appeal to an a posteriori mental capacity for generalisation but that is where their shared commitments end. the divergences are mapped out, against a tendency in historiography to assimilate the two strategies, and both theories are then analysed independently.