The opening argument in the Metaphysics M.2 series targeting separate mathematical objects has been dismissed as flawed and half-hearted. Yet it makes a strong case for a point that is central to Aristotle’s broader critique of Platonist views: if we posit distinct substances to explain the properties of sensible objects, we become committed to an embarrassingly prodigious ontology. There is also something to be learned from the argument about Aristotle’s own criteria for a theory of mathematical objects. I hope to (...) persuade readers of Metaphysics M.2 that Aristotle is a more thoughtful critic than he is often taken to be. (shrink)

The relation of ontological dependence or grounding, expressed by the terminology of separation and priority in substance, plays a central role in Aristotle’s Categories, Metaphysics, De Anima and elsewhere. The article discusses three current interpretations of this terminology. These are drawn along the lines of, respectively, modal-existential ontological dependence, essential ontological dependence, and grounding or metaphysical explanation. I provide an opinionated introduction to the topic, raising the main interpretative questions, laying out a few of the exegetical and philosophical options that (...) influence one’s reading, and locating questions of Aristotle scholarship within the discussion of ontological dependence and grounding in contemporary metaphysics. (shrink)

Aristotle holds that individual substances are ontologically independent from nonsubstances and universal substances but that non-substances and universal substances are ontologically dependent on substances. There is then an asymmetry between individual substances and other kinds of beings with respect to ontological dependence. Under what could plausibly be called the standard interpretation, the ontological independence ascribed to individual substances and denied of non-substances and universal substances is a capacity for independent existence. There is, however, a tension between this interpretation and the (...) asymmetry between individual substances and the other kinds of entities with respect to ontological independence. I will propose an alternative interpretation: to weaken the relevant notion of ontological independence from a capacity for independent existence to the independent possession of a certain ontological status. (shrink)

This book investigates Aristotle’s views on abstraction and explores how he uses it. In this work, the author follows Aristotle in focusing on the scientific detail first and then approaches the metaphysical claims, and so creates a reconstructed theory that explains many puzzles of Aristotle’s thought. Understanding the details of his theory of relations and abstraction further illuminates his theory of universals. Some of the features of Aristotle’s theory of abstraction developed in this book include: abstraction is a relation; perception (...) and knowledge are types of abstraction; the objects generated by abstractions are relata which can serve as subjects in their own right, whereupon they can appear as items in other categories. The author goes on to look at how Aristotle distinguishes the concrete from the abstract paronym, how induction is a type of abstraction which typically moves from the perceived individuals to universals and how Aristotle’s metaphysical vocabulary is "relational.’ Beyond those features, this work also looks at how of universals, accidents, forms, causes and potentialities have being only as abstract aspects of individual substances. An individual substance is identical to its essence; the essence has universal features but is the singularity making the individual substance what it is. These theories are expounded within this book. One main attraction in working out the details of Aristotle’s views on abstraction lies in understanding his metaphysics of universals as abstract objects. This work reclaims past ground as the main philosophical tradition of abstraction has been ignored in recent times. It gives a modern version of the medieval doctrine of the threefold distinction of essence, made famous by the Islamic philosopher, Avicenna. (shrink)

Corrective intervention in Plato's metaphysics replacing the standard view of Plato as a metaphysical dualist with a novel and revolutionary paradigm of unitary pluralism in a single reality built on ontological diversity.

La exposición y crítica de las doctrinas antiguas tiene un lugar importante en los escritos de Aristóteles. Sin embargo, ciertas dudas se han vuelto corrientes acerca de la confiabilidad de sus descripciones. Más aún, se ha sostenido que Aristóteles deforma la comprensión histórica a través de la introducción de conceptos y términos propios. En este libro se aborda el problema a través de un análisis de las críticas que Aristóteles dirige a la teoría platónica de las Ideas, que permite explicar (...) la constitución y desarrollo de importantes conceptos aristotélicos a partir de la confrontación dialéctica con las doctrinas de su maestro. En efecto, las dificultades genuinas que Aristóteles descubre en el platonismo constituyen el motor para gestar nuevos conceptos, que no son ajenos, sino que surgen como implicaciones del examen crítico. Así, la imposición de términos propios no debe interpretarse como distorsión, sino como el modo que Aristóteles adopta para exhibir su particular solución a los problemas que los filósofos anteriores dejaron sin solución. (shrink)

This is a study of the correspondence between Forms and particulars in Plato. The aim is to determine whether they exhibit an ontological symmetry, in other words, whether there is always one where there is the other. This points to two questions, one on the existence of things that do not have corresponding Forms, the other on the existence of Forms that do not have corresponding things. Both questions have come up before. But the answers have not been sufficiently sensitive (...) to the intricacies of the questions. Nor have they been adequately resourceful with what little evidence there is in the original sources. The intention here is to make up for that deficiency, not just with better answers but also with better insight into the questions. (shrink)

Books M and N of Aristotle's Metaphysics receive relatively little careful attention. Even scholars who give detailed analyses of the arguments in M-N dismiss many of them as hopelessly flawed and biased, and find Aristotle's critique to be riddled with mistakes and question-begging. This assessment of the quality of Aristotle's critique of his predecessors (and of the Platonists in particular), is widespread. The series of arguments in M 2 (1077a14-b11) that targets separate mathematical objects is the subject of particularly strong (...) criticism by Annas and Ross. Two related arguments in this series (1077a14-20 and 1077a24-31) will serve as cases in point. The principal charges made against these arguments (that Aristotle misunderstands or misrepresents his opponents' views, and that he engages in question-begging because he presupposes his own metaphysical views) are frequently made against Aristotle's critique of Platonist positions more generally. If, as I argue, these charges are false for our two test case arguments, then there is good reason to think that they might also be false when they are leveled against the other arguments in this M 2 series. And, although presenting an argument for this is beyond the scope of this paper, this suggests that these two charges are more often than not false when applied to Aristotle's critique of Platonist mathematical views in M-N and beyond. (shrink)

A world without individual entities? An advice to not to extract immediate ontological consequences from quantum theory. Should we assume a world without individual entities? I pledge not to extract immediate ontological consequences from quantum theory. My intention is to focus on the complexity of ontological concepts commonly associated with quantum theory. Using as an example the compatibility of EPR correlations with the existence of individual entities, it is shown that an absolute rejection of an ontological category, based on some (...) aspects of the formalism of quantum theory, does not seem reasonable. A consequence of this argument is that the common sense view – the world is composed of individual entities – can be maintained, despite of the particularities of quantum mechanics. (shrink)

At Phaedo 74b–c an important argument is given for the non–identity of perceptible equals and equality. The argument is usually understood as an application of Leibniz’s Law in which the predicate appears unequal is affirmed of perceptible equals but not equality. But this reading requires explaining why the plural locution the equals themselves is initially used for equality, and why the additional predicate appears as inequality is denied of it. In this paper, an account of the equality premise is given (...) which allows for an initial grasp of equality as a plurality (suitably expressed by a plural locution), and introduces a generic predicate for appearance, appears its opposite (rightly denied of equality). The former ensures that the question of non–identity is not begged, while the latter secures a role for every element in the premise. So understood, the argument is both more robust and carefully formulated than is usually thought. (shrink)

Este artículo discute el comentario de Alejandro a Aristóteles, Metafísica V.8 1017b23-26. Allí Aristóteles sostiene que la sustancia se dice de dos maneras: (i) el sustrato último, y (ii) la estructura y la forma de cada cosa. En cuanto al primer significado, el comentador apropiadamente pone énfasis en el hecho de que hay una perfecta biunivocidad entre ser sustancia y ser sustrato. Esta biunivocidad, sugiere Abbate, puede verse en las tres entidades que, según el mismo Aristóteles, desde las Categorías –una (...) fórmula reescrita por Alejandro que puede llamarse, en orden creciente, materia, compuesto y forma. De hecho, tales entidades muestran cómo ser el sustrato último significa no ser predicado de nada, un carácter que la forma se realiza por completo cuando es absolutamente inmaterial, en la medida en que no está constituida por referencia de una cosa a otra, menos aún cuál es su sustrato, esto es, la forma como esencia. En cuanto al segundo significado, el comentador parece individualizar tres acepciones diferentes, según las cuales la forma puede llamarse 1) solamente puede ser tal como una forma natural que es inmanente a los cuerpos; 2) como simplemente separada, en un sentido pasivo, de la materia la que se encuentra constitutivamente vinculada. Ésta es la razón por la cual no puede subsistir separadamente, si no virtualmente; como una forma eterna de los cuerpos divinos, no subsistente en relación a cualquier sustrato. De acuerdo con la última acepción, la forma como un motor divino indica una separación completa: tanto la individualidad de una sustancia primera como la trascendencia como una forma pura en acto. Es una sustancia suprasensible, que está separada tanto como el primer motor. Abbate concluye argumentando que Alejandro, por ende, nos autoriza a pensar que el primer carácter, esto es, el carácter que más que cualquier otro acepta la distinción entre aquello que es sustancia y todo lo que no es sustancia, si es cierto que las sustancias más elevadas, las inmateriales, se distinguen de las sustancias materiales en llevar al máximo cumplimiento este carácter. (shrink)