Algebraic Concepts Characterized

Deleuze’s notion of the Differential

“Just as we oppose difference in itself to negativity, so we oppose dx to not-A, the symbol of difference [Differenzphilosophie] to that of contradiction. It is true that contradiction seeks its Idea on the side of the greatest difference, whereas the differential risks falling into the abyss of the infinitely small. This, however, is not … Continue reading

Algebraic Concepts Characterized / Gilles Deleuze

Gilles Deleuzes’ Key Passage on Quantitability

“However, while it is true that continuousness must be related to Ideas and to their problematic use, this is on condition that it be no longer defined by characteristics borrowed from sensible or even geometric intuition, as it still is when one speaks of the interpolation of intermediaries, of infinite intercalary series or parts which … Continue reading

Algebraic Concepts Characterized

Polynomials and Series

How can the differences between the following notions be distinguished, how are the involved levels of abstraction to be properly organized? function – operation – procedure series – polynomial Differential – Integral A polynomial is responsive (literally) to many “sets of rules” (many (Gk. poly) precepts (Gk. nomos, in German “Satzung” oder “Gesetz”, also name or … Continue reading

Algebraic Concepts Characterized / Projective Theory of Technology

Projective theory on technology: an emphatic plan

something like an inverted manifesto (evocatio).  A projective theory on technology is interested in equipping and furnishing a realm for considering technology as intellectual, not as rational or materialist. Our interest is to enrich the operational and generic understanding of technical principles with world. This perspective allows us to engage in a kind of inverse … Continue reading

Little Dramas Staged / Projective Theory of Technology

Michel Serres: Revolution Cognitive et Culturelle (engl. translation)

(translated by Aoife Rosenmeyer) In prep school classes there always came a day which we called ‘the day of inversion’. On that day….the elders [the teachers] had to kowtow to the wind of retribution. But this only lasted for a day. And whatever happened in this reversal, it was never the case that the weakest in … Continue reading

Plotting from History

Towards an algebraic understanding of architectonic interpretation (according to J. Vuillemin)

In his Philosophie de l’algèbre (readable at amazon preview), Jules Vuillemin distinguishes 6 dimensions of interpretation in the Cartesian Architectonics, which depend upon a strict distinction between the synthetical and the analytical. Descartes was of the clear opinion that analysis can only treat particular problems, while synthesis can only proceed within the general. In the view … Continue reading