Genealogies of Speculation by Malik Suhail;Avanessian Armen;

Author:Malik, Suhail;Avanessian, Armen; [Malik, Suhail;Avanessian, Armen;]
Language: eng
Format: epub
Tags: Materialism and Subjectivity Since Structuralism
ISBN: 9781472591685
Publisher: Bloomsbury
Published: 2019-11-23T06:00:00+00:00

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With iteration, I am no longer involved in the indefinite (which supposes an indefinite augmentation), but in the unlimited (always the same, reproduced identically); and I now have access to a third type of recurrence that is neither repetition nor iteration. This third type of recurrence is differential like repetition, but differential in a different way than the latter, since it is conditioned by iteration and opens onto the indefinite:51 I call it reiteration. We have thus obtained a difference which is neither that of dissimilarity nor that of repetition: a third difference, genesis of every ‘quantitative’ difference, as opposed to qualitative or sensible difference.

Iteration is nondifferential and unlimited, repetition is differential and limited, and reiteration is differential and unlimited – and more precisely, indefinite (its unlimitedness engenders a term each time differing from its preceding term). Reiteration is the foundation of ‘potential infinity’ and the source of all naive arithmetic. It is involved in mathematical practice not only as a privileged object, but also as a method, namely in mathematical recurrence. Reiteration is the entry into the differential territory of iteration: the possibility of thinking differences outside the field of sensible repetition. This point is essential for our undertaking: for sensible plurality (let’s say diversity) does not escape the correlation (I cannot absolutize it, it belongs to the sphere of our relation to the world),52 whereas mathematical plurality (reiterative plurality, which we shall call multiplicity) opens us up to a world of difference that I hope to derive from the principle of factiality, by way of the empty sign that makes it thinkable. The first characters and derivations proposed in After Finitude were strictly primoabsolutory: they concerned every being indifferently (every being is contingent and consistent, and beings exist, whatever they may be); here, it could be that we accede to a world of deuteroabsolutory differences: describing some existent characterized mathematically in such and such a fashion, as opposed to some other existent characterized otherwise (the universe of distinct inorganic existents measured by science). Since there is reiterative multiplicity, this imposes upon us the very idea of a differentiated measurement of the actual (of the dead world separated from the correlation) that exhibits, by way of reiterative differences, the specificities of our world rather than those of any possible world in general. If we were to derive the absolutory capacity of reiteration, we would obtain: (a) as primoabsolute, the thesis that every possible world can be measured by mathematical multiplicities; (b) the fact that an actual, determinate world (deuteroabsolutory, contingent but independent of us) can thus be the object of such measurements and can be known for what it is specifically (in opposition to any other world), by way of operations inherited from the remarkable property of every world: measurability (access to deuteroabsolutory differences). We would then have derived the absolutory scope of Galileism, and the legitimacy of the mathematicized sciences to draw from our world measurements, laws and constants. But for the moment these are just anticipations that

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