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Binghamton University

2006

Mathematical object

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The Concept Of Abstraction, Allan Bäck Mar 2006

The Concept Of Abstraction, Allan Bäck

The Society for Ancient Greek Philosophy Newsletter

Philosophers deal with abstractions. Being reflective, they also have come up with theories about what these abstractions are. Aristotle is no exception, and indeed gave what came to be a canonical account of abstraction. Here I shall investigate what Aristotle thinks abstraction is. I shall conclude that Aristotle views abstraction as selective attention.

As its very name suggests, abstracting (ἀφαιρέω) consists in taking away something from an object. The root verb, αἱρέω, suggests additionally a sense of grasping or of choosing, of taking for oneself something of what lies ready to hand.

These lexical meanings leave open a wide range …