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Colloquium 9

Colloquium 9 In my commentary on Mitchell Miller's paper, I am going to discuss three issues which he raises. All three issues are signifi- cant, although I disagree with the positions that Miller takes. The first issue is Miller's interpretation of å1tetpov in the description of the method at 16-18 of the Philebus. According to Miller, in the description of the method there are two types of many. One type of many is a fixed and definite many. Socrates' references to number throughout 16-18 are a reference to this fixed and definite many. Thus, for example, when Socrates speaks of bnoaa (of how many) at 16d7, this refers to the fixed and definite many. Miller's view is that the fixed and definite many refers to a set of transcendent forms; that is, to a set of forms which are separate from sensible things. According to Miller, there is another type of many discussed in the descrip- tion of the method (16-18). This is an unlimitedly many which is Miller's translation of the expression 1t0Â.Âà xai anetpa at 16d6. This unlimitedly many is a continuum, that is, a continuous range or series framed by two opposite forms. Miller and I dis- http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings of the Boston Area Colloquium in Ancient Philosophy Online Brill

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Publisher
Brill
Copyright
Copyright 1992 by Koninklijke Brill NV, Leiden, The Netherlands
ISSN
1059-986X
eISSN
2213-4417
DOI
10.1163/2213441790X00205
Publisher site
See Article on Publisher Site

Abstract

In my commentary on Mitchell Miller's paper, I am going to discuss three issues which he raises. All three issues are signifi- cant, although I disagree with the positions that Miller takes. The first issue is Miller's interpretation of å1tetpov in the description of the method at 16-18 of the Philebus. According to Miller, in the description of the method there are two types of many. One type of many is a fixed and definite many. Socrates' references to number throughout 16-18 are a reference to this fixed and definite many. Thus, for example, when Socrates speaks of bnoaa (of how many) at 16d7, this refers to the fixed and definite many. Miller's view is that the fixed and definite many refers to a set of transcendent forms; that is, to a set of forms which are separate from sensible things. According to Miller, there is another type of many discussed in the descrip- tion of the method (16-18). This is an unlimitedly many which is Miller's translation of the expression 1t0Â.Âà xai anetpa at 16d6. This unlimitedly many is a continuum, that is, a continuous range or series framed by two opposite forms. Miller and I dis-

Journal

Proceedings of the Boston Area Colloquium in Ancient Philosophy OnlineBrill

Published: Jan 1, 1990

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