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‘Apodeiksis’ and ‘Definition’ in Aristotle's Analytica Posteriora B8-10

  • Philosophical Investigation
  • 2005, 18(), pp.63~88
  • Publisher : Institute of philosophy in Chung-Ang Univ.
  • Research Area : Humanities > Philosophy

이명훈 1

1한남대학교

Candidate

ABSTRACT

Aristotle in the Analytica Posteriora B8-10 illustrates the relation of demonstration(apodeiksis) and definition through the example of a particular celestial phenomena. The problem of relation is to show that the object of proof (apodeiksis) should be the same thing as essence(i.e. the object of definition). Our question is this: in what way is this problem's solution possible? This is my paper's central thesis. We find that Aristotle's guidance for this in B10 93b38-94a10. This passage contains the notions of ‘a continuos demonstration’(synekes apodeiksis) ‘differing in arrangement’. My assumption is that the solution of problem can be verified in the understanding of the two key words. In short, Careful reading of the B10 shows that demonstrative solution of the problem requires the nominal definition's exclusion and aitia in the empirical research. This paper concerns about the application of the demonstration system to non-mathematical objects like celestial phenomena. For brevity, the demonstration about mathematical objects is contrasted with the ones about nonmathematical objects. The difference of the both is found in chapters 8-10 of Book B. The former do not imply the existence corresponding to the nominal definitions, while the latter take the existence as something in the objects themselves’, and the definitions corresponding the existence are never nominal definitions. As for the former demonstration, the possibility of proof to definition is blocked; as for the latter, however, that possibility remains open. Thus the latter turn out to be a continuous demonstration on the one hand, and a definition on the other.

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