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Alexander Of Aphrodisias On The Science Of Ontology

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Chapter Summary

At the beginning of Metaphysics IV, Aristotle asserts that there is a science which considers being qua being and the things that hold of it in its own right. In his commentary on these lines Alexander offers a peculiar characterisation.. Aristotle presents his conception of demonstrative science in the Posterior Analytics. In APo. I 7, it mentions three elements which together constitute demonstration: first, the demonstrated conclusion, or that which 'holds' καὖ αὒτό, secondly the axioms; and thirdly the underlying kind. This chapter shows how Alexander conceived of the science of being as being as constituting a demonstrative science. In particular, it shows that Alexander thought it possible to apply the scientific conditions codified by Aristotle in the Posterior Analytics to ontology. The end of the chapter presents philosophical examples of axioms and theorems concerning one of these terms.

Keywords: Alexander; Aristotle; axioms; Metaphysics; ontology; science; theorems



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