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A slightly more formal introduction to knots as a form of thought

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This last work cycle was dedicated to a more formal endeavour, in two senses: first, I tried to formalize and discern a particular aspect of my research under the idea of ‘social forms’; second, I presented three different takes on the logic of form
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  ORGANIZATION AND INTERVENTION What is this? STP#1_031 IN POLITICS AND PSYCHOANALYSIS  A slightly more formal introduction to knots as a form of thought    A  slightly more  formal introduction to knots as a form of thought a.Review of last meeting b.Ontology and social formc.The set as a form of thoughtd.The hyperset as form of thoughte.The knot a form of thought STP#1_031 CONTENTS  Line of research: To investigate the theory of transformation implicit in a collective organization which conditions  outward transformation on inward reformulation .  What has been previously accomplished: (1) Definition of social form  as the excessive process through which a collective gains consistency and autonomy over those who form it;(2) Investigation of Husserl’s notion of  fundierung   as the basic operation of social forms;(3) Development of a hypothesis concerning the ontological conditions for intervening on the autonomous dimension of social forms: “  principle of ontological homogeneity ”; (4) Suggestion that  theoretical biology  has formal resources to investigate the logics of organizations in its effort to mathematize the notion of organism in complex systems theory.(5) Critique of both psychoanalysis and marxism based on the failure to think the formal dimension of organization in both fields - critique accomplished through the mobilization of the  borromean link as a metaphoric device. Our current task: To investigate the capacity of knot theory to think the formal operations at stake in social forms. Does the understanding of the formal theory of knots help us conceptualize the excess, autonomy and consistency proper of social forms?   STP#1_031 REVIEW  First formalization: STP#1_031 ONTOLOGY AND SOCIAL FORM Let Fd (I,S)  be the force of dependence of the symbolic on the intersubjective and let FD (S,I)  be the force of determination of  the intersubjective by the symbolic. Let us also consider i  n  the  n  number of individuals who compose I , the intersubjective support of S , so that [i 1 +i 2 +i 3 +…i  n ]= IFd(I, S) !  FD(S, I) !  Fd(i  n  ,S) "  [FD(S,i  n ) = FD (S, I)] “transcendental illusion that Fd (I,S) < FD (S, I)”Here, there is a limitation of the force of symbolic determination  by its intersubjective support ( Fd(I, S) !  FD(S, I) ), but we accept that the distribution of this determining force over each individual exceeds the latter’s own investment: our individual engagement in supporting the symbolic is not equivalent to the force with which it enforces itself upon us ( Fd(i  n  ,S) "  FD(S,i  n ) ) -  the force of S  appears to each as with the accumulated investment of its total support ( FD(S,i  n ) = FD (S, I) ). In this way, we can  think autonomy of S  already as a local   excess of S  over I , or rather, over  i  n   , even though  globally   S  and I  remain proportional.  From “Notes on the Mistaking of the Subject Supposed to Know - 21/10/2012”  i 1 i 2 i 3 i n SI FD (S,I) = FD (S, i n ) Fd (i n ,S) < FD (S, i n ) Fd (I,S) !  FD (S, I) Fd[(i 1 ,S)+(i 2 ,S)+(i 3 ,S)+(i n ,S)]= Fd (I,S) Intuitive apprehension:  the organized whole is bigger than the sum of the parts First conceptualization:  the determining force of social formations exceeds the individual efforts it depends on Second conceptualization:  the ontological consistency of collective organization that has partial autonomy over the social relations which compose it.  Social forms  Our task today STP#1_031 ONTOLOGY AND SOCIAL FORM  positioncomposition  formal paradigms: setshypersetsknots  properties of social forms: excessautonomyconsistency
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