Aristotle's Theory of Abstraction

Aristotle's Theory of Abstraction PDF

Author: Allan Bäck

Publisher: Springer

Published: 2014-07-02

Total Pages: 315

ISBN-13: 3319047590

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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.

Substances and Universals in Aristotle's Metaphysics

Substances and Universals in Aristotle's Metaphysics PDF

Author: Theodore Scaltsas

Publisher: Cornell University Press

Published: 2010

Total Pages: 316

ISBN-13: 9780801476358

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In this book, Theodore Scaltsas brings the insights of contemporary philosophy to bear on a classic problem in metaphysics that stems from Aristotle's theory of substance. Scaltsas provides an analysis of the enigmatic notions of potentiality and actuality, which he uses to explain Aristotle's substantial holism by showing how the concrete and the abstract parts of a substance form a dynamic, diachronic whole.

Aristotle's Theory of Language and Meaning

Aristotle's Theory of Language and Meaning PDF

Author: Deborah K. W. Modrak

Publisher: Cambridge University Press

Published: 2001

Total Pages: 316

ISBN-13: 0521772664

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This is a book about Aristotle's philosophy of language, interpreted in a framework that provides a comprehensive interpretation of Aristotle's metaphysics, philosophy of mind, epistemology and science. The aims of the book are to explicate the description of meaning contained in De Interpretatione and to show the relevance of that theory of meaning to much of the rest of Arisotle's philosophy. In the process Deborah Modrak reveals how that theory of meaning has been much maligned.

Aristotle on Abstraction

Aristotle on Abstraction PDF

Author: Aaron J. Smith

Publisher:

Published: 2010

Total Pages: 232

ISBN-13:

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"In the context of mathematics, Aristotle uses the term "abstraction" (aphairesis) to refer to the act of ignoring or disregarding matter and change from perceptible objects in order to isolate their specifically mathematical characteristics as distinct objects of thought. Aristotle's frequent use of the terminology of abstraction in mathematics has led many to identify Aristotelian abstraction with its mathematical usage. I argue, however, that abstraction, as it occurs in mathematics, is simply a narrower, technical application of a more general notion of abstraction which can be found throughout the Topics and other works of the Organon—viz., that of ignoring or disregarding any aspect of an item for the purpose of considering that item without the aspect one is disregarding. Furthermore, Aristotle tells us that mathematicians reach their objects of study by considering things only "qua quantitative and continuous" (i.e., just in respect of being countable and extended), and that this involves ignoring or disregarding whatever is incidental to items considered in this way. Thus even in the context of mathematical thought one ignores (or "abstracts") matter and change because they are incidental to the objects of mathematical study, not because abstraction is limited to ignoring matter and change. Moreover, Aristotle thinks that we can consider virtually anything "qua F" (e.g., "qua extended", "qua being", "qua female"), and since any act of considering something "qua F" involves ignoring or disregarding what is incidental to being F, I argue that abstraction is a cognitive act of general application. It remains unclear whether Aristotle regarded abstraction as having a role in concept formation generally. I show that there is evidence in Aristotle's psychological and biological writings which suggests that abstraction is a component of the inductive process by which we reach universal concepts. The evidence this thesis, however, is not conclusive. Although Aristotle had the resources with which to construct a theory of general concept formation in which abstraction plays a key role, he does not appear to have gone through with this project."--Page ii.

An Aristotelian Account of Induction

An Aristotelian Account of Induction PDF

Author: Louis Groarke

Publisher: McGill-Queen's Press - MQUP

Published: 2009

Total Pages: 481

ISBN-13: 0773535950

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Through a study of argument, science, art, and human intelligence, Louis Groarke explores and builds on a line of Aristotelian thought that traces the origins of logic and knowledge to a mental creativity that is able to leap to insightful and truthful conclusions on the basis of restricted evidence. In an Aristotelian Account of Induction Groarke discusses the intellectual process through which we access the "first principles" of human thought - the most basic concepts, The laws of logic, The universal claims of science and metaphysics, And The deepest moral truths. Following Aristotle and others, Groarke situates the first stirrings of human understanding in a creative capacity for discernment that precedes knowledge, even logic. Relying on a new historical study of philosophical theories of inductive reasoning from Aristotle To The twenty-first century, Groarke explains how Aristotle offers a viable solution To The so-called problem of induction, while offering new contributions to contemporary accounts of reasoning and argument and challenging the conventional wisdom about induction. In recovering and developing philosophical ideas that have been largely overlooked or misrepresented by more recent sources, An Aristotelian Account of Induction makes a major contribution To The historical study of philosophy and to critical debate.

Aristotle's Theory of Actuality

Aristotle's Theory of Actuality PDF

Author: Z. Bechler

Publisher: SUNY Press

Published: 1995-01-01

Total Pages: 298

ISBN-13: 9780791422397

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This is an attack on Aristotle showing that his misplaced drive toward the consistent application of his actualistic ontology (denying the reality of all potential things) resulted in many of his major theses being essentially vacuous.

Studies on Plato, Aristotle and Proclus

Studies on Plato, Aristotle and Proclus PDF

Author: John Joseph Cleary

Publisher: BRILL

Published: 2013

Total Pages: 640

ISBN-13: 9004233237

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John J. Cleary (1949 2009) was an internationally recognised authority in ancient Greek philosophy. This volume of penetrating studies of Plato, Aristotle, and Proclus, philosophy of mathematics, and ancient theories of education, display Cleary s range of expertise and originality of approach.