Aristotle's theory of demonstration, developed in the Posterior Analytics, is not restricted to determining the formal requirements for formulating probative arguments that establish properly the results of scientific investigation. To the probative aspect of demonstration it shall be added its primarily explanatory character, orientated by theses of strong ontological and metaphysical content and involving notions like substance, essence and causation. We shall analyze the relation between those two ranges of Aristotle's philosophy of science and investigate how the formal features of (...) demonstration maintain an affinity with the metaphysical background to which scientific activity is conditioned. (shrink)

This article is intended to examine the structure and scope of the argumentation drawn in Metaphysics Γ 4, 1006a18-b34. As we shall see, though this passage does not bring a complete proof of the Principle of Non-Contradiction, it corresponds to its first step, which consists in determining the conditions of meaning necessary for discourse. That passage encloses in nuce the reasons which underlie Aristotelian conviction con- cerning the conventional nature of names and also brings to light the way this conven- (...) tional nature of names must be understood according to Aristotle. (shrink)

AtCategories7, 6a36-7 Aristotle defines relatives, but at 8a13-28 worries that the definition may include some substances. Aristotle introduces a second account of relatives to solve the problem. Recent commentators have held that Aristotle intends to solve the extensional adequacy worry by restricting the extension of relatives. That is, R2 counts fewer items as relative than R1. However, this cannot explain Aristotle’s attitude to relatives, since he immediately returns to using R1. I propose a non-extensional reading. R1 and R2 do not (...) specify different sets of relatives, but rather different ways to understand each relative. (shrink)

A formal analysis is offered of Pseudo-Scotus's theory of the conversion of (i) propositions containing singular terms (including propositions with a singular term as predicate): and (ii) propositions with a quantified predicate. An attempt is made to steer a middle course between using the Aristotelian logic as a framework for the analysis, and using a Fregean framework.

In this article, I discuss Robert Kilwardby’s theory of judgement and consider its implications for his view of truth and falsity. I start by considering Kilwardby’s claim that truth and falsity are primarily found in composite thought, i.e. judgement. I then examine his distinction between two different kinds of being, namely real and conceptual, arguing that different kinds of true judgement, according to Kilwardby, have different kinds of existential import, either real or merely conceptual. Since Kilwardby develops his position by (...) commenting on Aristotle’s logical treatises, an important aim of the article is that of showing how he addresses exegetical issues in those sources and offers solutions that go beyond Aristotle’s alleged intentions. The focus of the paper is on negative judgement because that is where Kilwardby diverges from Aristotle most conspicuously. (shrink)

Antiphasis is a case of core-dependent homonymy, and has three significations in Aristotle's philosophy: antiphasis as an opposition between propositions ; antiphasis as the opposition between ‘subject’ and ‘not a subject’ in coming-to-be and perishing ; and antiphasis as the opposition between possession and privation . Argument based on the fifth type of priority described in Cat. 12 shows that, for Aristotle, the ontological significations are prior to the propositional.

In Categories 7, Aristotle gives two different accounts of relatives, and presents the principle of cognitive symmetry, which seems to help distinguish between relatives and some secondary substances. I suggest that the long-disputed difference between the two accounts lies in a difference in the determination of the categorial status of the object in question, and I formulate the principle of cognitive symmetry such that it plays a crucial role in making explicit how one conceptualizes the categorial status of the object. (...) I then set out some consequences following from this understanding for certain interpretive issues, such as the unity of the Categories. (shrink)

In the Posterior Analytics, Aristotle imposes some requirements on the formulation of scientific propositions: their terms must be able to perform the role of subject as well as of predicate; their terms should be universal; every demonstration must involve “primary” subjects denoted by terms that “cannot be said of another underlying subject”. Several interpreters, inspired by theses from the Categories, believed that this third requirement refers to names and descriptions of particular substances as basic subjects of predicative statements, since they (...) cannot perform the logical role of predicate. However, such reading puts the third requirement in conflict with the other two. I shall argue that this interpretation is wrong and that the third requirement does not assign to singular terms the function of basic subjects of scientific discourse, but rather acknowledges that substantial predicates have a certain prerogative to occur in denoting phrases. Consequently, Aristotle’s three demands turn out to be compatible with one another. (shrink)