Aristotle: The Zeta Problem

Aristotelian hylemorphism not only concerns the relationship between sensible matter and form, but also applies to the relationship between the 'parts' of form. By analyzing this latter case, this book aims to show the full explanatory and unifying power of hylemorphism.

Discussions of Aristotle’s Metaphysics Z tend to treat it either as an independent treatise on substance and essence or as preliminary to the main conclusions of the Metaphysics. I argue instead that Z is central to Aristotle’s project of first philosophy in the Metaphysics: the first philosopher seeks the first causes of being qua being, especially substances, and in Z, Aristotle establishes that essences or forms are the first causes of being of perceptible substances. I also argue that the centrality (...) of Z to first philosophy is compatible with its status as theology. (shrink)

This aims to discuss the separation of the substance presented by Aristotle in Book Z of Metaphysics. In Z 1 the substance is prior in three aspects, namely as to the definition, the knowledge and the time. Aristotle's justification that substance is first in time is because it is the only category that is separate. Based on contemporary interpreters, we will discuss the separation as ontological separation associated with the definitional separation.

This essay is the first part of an analysis on the form and matter in the works of Aristotle. Within the whole analysis, I shall examine passages taken from different works of Aristotle that are relevant to the investigation on form and matter. In this essay, I shall focus exclusively on the chapter Metaphysics Zeta 3. The concepts of substance, matter, ontological subject, form, composite substance, this something and separated, which are consistently used by Aristotle within the development of the (...) mentioned chapter, will be part of my survey of the contents of the chapter. The central argument of Metaphysics Zeta 3, which maintains the equivalence between substance and the feature represented by ontological subject, and which leads, through this first equivalence and through the equivalence between matter and ontological subject, to the result that matter is (the only) substance, will be investigated step by step so that all presuppositions, entailments, and consequences of the argument itself can be clearly shown. The problems which are caused by the mentioned equivalence of substance and ontological subject will be pointed out during my look at the chapter’s contents. In particular, Aristotle cannot accept that, in spite of the ontological subject being a correct feature of substance qua substance, substance is therewith reduced to matter. Being the ontological subject does not represent the only ontological feature of substance qua substance; the ontological features too of substance qua substance that are represented by being a this something and being separated belong to the concept of substance: they can never be forgotten within a right interpretation of substance. The identification of substance only with matter can never be accepted. Only the ontological values of substance represented by the form and by the composite substance possess the ontological features “being a this something” and “being separated”. Therefore, the ontological values of substance as form and as a composite substance must always be reckoned with in a correctly interpreted ontology. Neither of these values can be forgotten within an accurate inquiry of ontology. Hence, regardless of whether matter is substance and is correctly interpreted as substance, the values of substance as form and as composite substance must belong, in Aristotle’s view, to any right ontological system whatsoever. The plurality of values for substance, which I personally advocate, finds confirmation thanks to chapter Metaphysics Zeta 3: Matter, form, and composite substance all represent values for substance, despite the differences which they have as regards their own ontological features. (shrink)

The present essay is the first part of an analysis regarding aspects of Aristotle’s ontology. Aristotle’s ontology is, in my opinion, a formal ontology that examines the fundamental structures of reality and that investigates the features belonging to entities such as substance, quantity, quality, universals. Aristotle’s ontology investigates, moreover, the reciprocal relations existing between these entities. Aristotle’s interpretation of universals is not, in my opinion, a nominalist interpretation of universals: I do not think Aristotle regards universals as being only mental (...) entities. Aristotle, rather, aims at the differentiation between the realms of reality to which individuals and universals belong. In this part of my investigation, I first expose my interpretation of the fundaments of Aristotle’s ontology. Thereafter, I concentrate my attention on chapter Metaphysics Zeta 13: I comment on Aristotle’s investigation regarding the ontological features belonging to the universal qua universal and to the substance qua substance. I analyse the ontological laws that Aristotle finds about universal and substance: substance and universals are considered by Aristotle as mutually incompatible entities. The analysis shows that a false interpretation of the features of the universals endangers the whole ontology. Moreover, the Third-Man-Regress, which is one of the consequences of the misunderstanding of the position of universals in the reality, is regarded as the key to the interpretation of one of Aristotle’s aims: Aristotle aims at the foundation of a typological ontology putting individual entities and universal entities on different levels of reality. The danger of the Third-Man-Regress is avoided through the introduction of a new ontology, that is, through the introduction of the typological ontology of the entities. (shrink)

I discuss Aristotle's treatment of essence and definition in Metaphysics VII.4. I argue that it is coherent and perfectly in accord with its broader context. His discussion in VII.4 offers, on the one hand, minimal criteria for what counts as definition and essence for whatever kind of object, but also, on the other hand, stronger criteria for a primary sort of definition and essence—and thereby it serves the interest of book VII in pointing to the explanatory power of the essence (...) of composite substances. (shrink)

I discuss Aristotle’s views in Metaphysics VII-6 (Z-6) on the issue whether each thing is the same as its essence. I propose a deflationary interpretation according to which Z-6 develops a “logical approach” (logikos) in which “sameness” amounts only to coextensiveness between definiendum and definiens with no attention to more specific issues about ontological and explanatory features of definitions.

In almost every handbook and in almost every history of philosophy you will find the thesis that Aristotle in Metaphysics Z has developed a theory about substance – an imperfect one unfortunately. From the Middle Ages until now this has been the most widely accepted claim about this book. Because the basis for this claim is not so easy to find in the text, there is a dispute about the question what a substance really is and ”which things“ are substances. (...) But the theory itself remains. If you engage to clear the field of problems in which this book has its roots, you will see apories developed by Plato in his dialogue Sophistes, mainly the apory in the middle of the dialogue. Here the guest from Elea is led to the question ”What in the world do we have to understand by the term ’to be’?“ ”...For you evidently understood the matter long ago; we, on the contrary, before thought we understood, but now are in trouble about it.“ Aristotle repeats this question, the question about being, on a new level and with new conceptual tools. In the Topics he develops what I call the ”topical approach.“ The use of it is suppported by a new type of concepts, the quotations (e. g. to ti estin: ”Say what you mean, if you ask 'What is this?'“ The standard translation ”essence“ makes impossible to see the genuine meaning of the term.) In Metaphysics Z he puts in concrete terms what in Metaphysics Λ was just a sketch of his speculation about ”to be.“ Seeing this background, it becomes clear that Metaphysics Z never contains the expected theory, which many allege that Aristotle is defending. This is no more than the remains of the pastristic and medieval interpretation. The German translation with commentary which I submit with this book, and an extensive introduction to these questions, should contribute to the destruction of this part of metaphysics. (shrink)

This book discusses Aristotle’s notions of essence and substance as they are developed in Metaphysics ZH. I examine Aristotle's argument at length and defends an unorthodox interpretation according to which his motivation is to provide an answer against a conflation between criteria for existential priority (delivering substances as primary beings) and criteria for explanatory priority (delivering essences as primary principles).

The study deals with the main aspects of substance in the works of Aristotle. The presence of a plurality of values for substance is the central idea of the study; in particular, substance has 1) the value of living biological entity and 2) the value of form of the biological entity; both values are fundamental components of Aristotle's theory of substance. The prevalence, in the works of Aristotle, of the first or of the second of the two values depends on (...) the prevailing research interest of Aristotle in each work. The idea of a continuity in Aristotle's interpretation of substance in Aristotle's works is endorsed. This research treats, moreover, of the role of form as actuality, of the relations between form and matter in the material entities, and of the problem of the unity of definition. (shrink)

I discuss some of Aristotle’s scattered remarks from which one can construct his conception of matter. Aristotle seems to oscillate between two conceptions: one in which matter is the principle of becoming, another in which matter is a constituent element with no contribution for processes of becoming. Sometimes Aristotle takes matter as a thing independent in itself, and the correlated form is a feature that does not contribute to the matter’s essence, nor is a necessary condition for its existence. But (...) sometimes Aristotle takes matter as a constituent element the existence of which depends on the whole thing it is the matter of. These different approaches to matter seem to suggest an inconsistent theory of matter. However, I argue that, quite to the contrary, Aristotle has a consistent theory about matter. One of my main points is to distinguish contexts in which Aristotle is indeed talking about matter in general from contexts in which he uses the term “matter” to refer to a given thing that was previously taken as matter and to talk about that thing not qua matter, but qua the thing it is. (shrink)

This paper examines some difficulties in Aristotle’s argument in Metaphysics VII 3 and proposes a point of view in which there is no serious conflict between ousia taken as hypokeimenon and ousia taken as eidos.

Tradução dos livros Z e H da Metafísica de Aristóteles, com introdução e notas. Translation of Aristotle's Metaphysics Books VII and VIII into Portuguese, with Introduction and Notes.

This PhD thesis is a careful discussion of Aristotle's Metaphysics VII (Zeta) almost line by line (or at least argument by argument). It might be interesting to know that a revised and shortened version of it was published as a book in Portuguese, "As Noções Aristotélicas de Substância e Essência", Campinas: Editora da Unicamp, 2008. Actually, I believe the original version of the PhD thesis has been superseded by the book.

This paper is my first effort to revaluate the disagreement between two central texts for Aristotle's the conception of ousia: Categories and Metaphysics VII. Scholars have taken chapter Zeta-3 as a payment of the debt with the Categories, so that the hylomorphic analysis of the composite substance would require a revision of the subject-criterion, now improved by the addition of the “a this” and “separate” criterion. This paper, however, downgrades the importance of the Categories for understanding Aristotle's Metaphysics Z. The (...) two texts are dealing with different arguments and are not incompatible with one another. I myself consider this paper somehow obsolete, for I have returned to the same subject more than once: in my 2003 paper on Z-3 and, most importantly, on my Book 'As Noções Aristotélicas de Substância e Essência' (2008). (shrink)