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This book investigates Aristotleâ€™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 Aristotleâ€™s thought. Understanding the details of his theory of relations and abstraction further illuminates his theory of universals.

Some of the features of Aristotleâ€™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 Aristotleâ€™s metaphysical vocabulary is "relational.â€™

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 Aristotleâ€™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.

- Series:
**The New Synthese Historical Library 73** - Author:
**Allan BĂ¤ck (auth.)** - Year:
**2014** - Publisher:
**Springer International Publishing** - Language:
**English** - ISBN:
**978-3-319-04758-4,978-3-319-04759-1**

- File size:
**2 714 080** - Format:
**pdf**

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This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("ele...

Designed for undergraduate courses in coding theory and network security, in departments of mathematics, electrical engineering, and computer science, this text is an accessible introduction to important contemporary applications of number theory, abstr...

This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("ele...

In its most general form bifurcation theory is a theory of asymptotic solutions of nonlinear equations. By asymptotic solutions we mean, for example, steady solutions, time-periodic solutions, and quasi-periodic solutions. The purpose of this book is to t...

Reading, Writing, and Proving is designed to guide mathematics students during their transition from algorithm-based courses such as calculus, to theorem and proof-based courses. This text not only introduces the various proof techniques and other foundat...

An urgent, contemporary defense of AristotleIn 1935 Edmund Husserl delivered his now famous lecture â€śPhilosophy and the Crisis of European Humanity,â€ť in which he argued that the â€śmisguided rationalismâ€ť of modern Western science, dominated by the model of ...

This book reports on the new results in Abstract Systems Theory (AST). It shows the progress made so far in the effort launched in 1960 to develop a mathematical theory of systems based on the "top-down"-formalization-approach. The volume can be used as a...

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 descriptio...

Aristotle's moral philosophy is a pillar of Western ethical thought. It bequeathed to the world an emphasis on virtues and vices, happiness as well-being or a life well lived, and rationally motivated action as a mean between extremes. Its influence w...

The control unit is one of the most important parts of any digital system responsible for interplay of other system blocks. Very often, the model of a finite state machine (FSM) is used to represent the behaviour of a control unit. Modern computer-aided d...