This article argues for a radical perspectivity shift in cogitating the urban, which involves an ap-proach to infrastructures not solely in terms of functionality, but predicated on the pre-modern philosophical terms of capacities and capabilities. Characterizing infrastructures as technological means of maintaining a steady supply of existential basics poorly recognizes the peculiar space of potentiality they maintain and provide … Continue reading

# Category Archives: Algebraic Concepts Characterized

# Summer 2013 Phd Kolloquium on ‘computing symbols as literacy and ability’

Information – in the light of the strange theory of light and matter (quantum electrodynamics) According to Shannon & Weaver’s mathematical theory of information, information is strictly speaking neither a value (number) nor a magnitude (quantity), but it can be treated symbolically in terms of so-called random variables: values governed by chance. But how can we … Continue reading

# Abstract: How to substantiate liminitudinality – Taking Deleuze’s transcendental empiricism as a philosophical starting point for thinking about territoriality

***** The abstract to my upcoming lecture at the 6th International Deleuze Studies Conference “The territory in-between” (Lisboa Portugal, July 8-10 2013). Info: http://deleuze2013.fc.ul.pt Keywords: symbolic algebra, time, space, metaphysics, semiotics, articulation, glossematics, diagrammatics “Le fondement c’est donc ce qui nous donnera ou ne nous ne donnera pas le droit.” (Gilles Deleuze, Qu’est-ce que fonder?) Departing … Continue reading

# Not a negation, not infinite – the inversion of a sphere

Symbolic corporeality, or: what Zahlenkörper (in English unfortunately called number fields) are capable of. watch a series of clips on youtube giving a more elaborate explanation here. Continue reading

# Characteristica Designata IV: algebra as an undiscovered continent, and attempts to appropriate it as the symbolic positivity of ‘pure instrumentality’

In his classic textbook The Development of Mathematics (1950), E.T. Bell describes how abstract, symbolical Algebra appeared like an ‘undiscovered continent’ on the horizon. Those who pushed the application of the symbolic method without dedicated political or economical commitment were ‘adventurers’, whom Bell calls ‘illegitimate Kings’ striving for ‘profit’: masses of young mathematicians were recruited, … Continue reading

# Characteristica Designata III: an existential ‘genitality’ proper to symbolic numericalness

A resurfacing of the debate about amphiboly and concepts, and the relation of this theme to number theory, took place in the 19th century and can perhaps best be associated with an address by Arthur Cayley, a British algebraist working on variational calculus and invariance-theory, to the the British Academy for the Advancement of Science … Continue reading

# Characteristica Designata II: Polynominality, and the question of structural amphiboly

“Bombelli [(1526-1572)] had given meaning to the “meaningless” by thinking the “unthinkable,” namely that square roots of negative numbers could be manipulated in a meaningful way to yield significant results. This was a very bold move on his part. As he put it: ‘it was a wild thought in the judgment of many; and I … Continue reading