Concept and Form, Volume 1: Selections From the Cahiers Pour L'Analyse by Peter Hallward/Knox Peden

Author:Peter Hallward/Knox Peden [Peter Hallward/Knox Peden]
Language: eng
Format: epub
Tags: Politics & Social Sciences, Philosophy, Movements, Structuralism
ISBN: 1844678725
Amazon: B007HXFI3W
Publisher: Verso
Published: 2012-12-12T05:00:00+00:00

[56] Or better yet the following schema, which more clearly shows the relations between the Hypotheses:

HYPOTHESIS III (The One is ‘is not’ [L’Un est n’est pas]), ‘corollary’ of the second, would be situated at the juncture of the One as being and the One as not being, but just as well at that of the One and the Others, since this is the Hypothesis of becoming. The combination of the two gives it four possible positions on the schema, which could come together in the centre, etc. Plato would only have placed it at the spot where he would have encountered it for the first time. In any event, for structural reasons and in order to pass from any given half of one of the three dichotomies to the other half, it is necessary to posit this multi-functional Hypothesis. There are thus indeed nine of them.

We could group the Hypotheses together in many different ways. We would prefer to retain roughly the Platonist order. However, for reasons that will become clear in what follows, we have decided to have each Hypothesis bearing on the One taken in itself and with regard to the Others follow from the Hypothesis corresponding to the Others, taken in themselves and with regard to it. The study of Hyp. I will thus be followed by that of Hyp. V; II will be followed by IV; then III alone, then VI will be followed by VIII; finally VII by IX.

We now have at our disposal a matrix for enumerating the possible relations between epistemology and science, the latter being considered from the points of view of its unity and its existence. This is the only way we have forced the argument.23

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