Author Archives: verabueh

Distinguishing the General from the Generic / Pre-specificity / Projective Theory of Technology / Thinking as an Algebraic Mechanist

Articulating a thing entirely in its own terms Or: what can we understand by the notion of «engendering» ?

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CONTENT What is the subject of the generic? Grammatizing symbolical domains An abstract object’s integrity: political subjectivization Beyond urban comfort, in a state of expulsion Generic as an adverb, universality as an ouevre Bodies of thinking live in algebraic universality Characterizations of the subject of the generic Characterization on a grammatical level The man without … Continue reading →

Distinguishing the General from the Generic / Lectures / Pre-specificity / Thinking as an Algebraic Mechanist

Abstract: Serious stories around the fantastic dream of a mathesis universalis and the inception of Universal Algebra in the late 19th century

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Proposal for The Common Denominator Conference, Universität Leipzig, March 2014. Keywords: Critical Reasoning; Symbolic Reasoning; Amphiboly, Reflection and Projection; Computability In 1898 Alfred North Whitehead published A Treatise on Universal Algebra in order to present “a comparative study of the various Systems of Symbolic Reasoning“ that had been allied to ordinary Algebra since mid 19th … Continue reading →

Algebraic Concepts Characterized / Distinguishing the General from the Generic / Metalithikum / Thinking as an Algebraic Mechanist

Primary abundance, urban philosophy – information and the form of actuality

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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 →

Distinguishing the General from the Generic / Gilles Deleuze / Lectures / Pre-specificity / Thinking as an Algebraic Mechanist

How to substantiate liminitudinality or: Gilles Deleuze and the formula of capitalism – towards an entropic economy

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* manuscript of my paper at the Deleuze Conference 2013 in Lisabon, July 13th. With a few additional annotions.  During this conference, we have heard many accounts and twists on a disturbing relation which Deleuze’s philosophy of capture, through the terms of what he calls the method of transcendental empiricism [1], appears to maintain with … Continue reading →

Summer 2013 Phd Kolloquium on ‘computing symbols as literacy and ability’
Algebraic Concepts Characterized / Open PhD Kolloquium at the Laboratory for Applied Virtuality CAAD ETH Zürich / Projective Theory of Technology / Thinking as an Algebraic Mechanist

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

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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 →

Algebraic Concepts Characterized / Distinguishing the General from the Generic / Gilles Deleuze / Lectures / Pre-specificity

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

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***** 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 →

Distinguishing the General from the Generic / Little Dramas Staged / Pre-specificity / Projective Theory of Technology / Thinking as an Algebraic Mechanist

Offen ist abstrakt. Für eine Philosophie der Künstlichkeit, oder: Das Generelle lebt seine eigene Geschlechtlichkeit

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Unter der Bezeichnung Open Design beginnt sich gegenwärtig das Label für eine Aufmerksamkeit herauszubilden, welches eine bestimmte Wiedererkennbarkeit, Einschätzbarkeit und Entwicklungstendenz in den aufkommenden Infrastrukturen zu indexieren sucht, in denen heutige „Produkte“ – so allgemein gesprochen wie es die Anwendbarkeit des Begriffs Design heute eben verlangt – ausgedacht, entwickelt, hergestellt, verteilt und erworben werden. Dabei … Continue reading →

Illustration of Categoricity – preliminary notes on Herman Weyl’s categorial take on the circulus vitiosus of analysis
Distinguishing the General from the Generic / Thinking as an Algebraic Mechanist

Illustration of Categoricity – preliminary notes on Herman Weyl’s categorial take on the circulus vitiosus of analysis

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In this new category of posts called “Distinguishing the General from the Generic” I would like to publish posts that explore a twofold line (1) of why, for an understanding of computation as a literacy,  keeping the notions of generality and genericity distinct seems of crucial importance, and (2) how we might do so. The approach … Continue reading →

Pre-specificity / Projective Theory of Technology / Thinking as an Algebraic Mechanist

Limitudinality. Data space is quantum reality.

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The colonization of categories, or: how can we conceive of that which is being named by polynomials resolved through adjoining complex roots to their coefficients?  “Le fondement c’est donc ce qui nous donnera ou ne nous ne donnera pas le droit.” (Gilles Deleuze, Qu’est-ce que fonder?) “I really do not know that anything has ever been … Continue reading →

»popularizing insistence«
Metalithikum / Projective Theory of Technology

»popularizing insistence«

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»popularizing insistence« was the fourth Klausur in a series of events which I organize at the Laboratory for Applied Virtuality (CAAD, Institute for Information Technology in Architecture, Swiss Federal Institute of Technology ETH in Zurich) in collaboration with the Stiftung Werner Oechslin in Einsiedeln, Schwitzerland. It took place from Feb. 1-3 2013, and will shortly be documented on … Continue reading →

Metalithikum / Thinking as an Algebraic Mechanist

A psycho-political essay on the imagined life-form of existentialists who begin to populate the symbolic grounds of generic urbanity

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In the Quantum City, it is mainly existentialists who gather. Existentialists of the symbolic. People who know they could do virtually anything, if they wanted to, and if they got organized properly. Yet they feel largely undecided. There is a sense of brute potency all around them, which at one and the same time attracts … Continue reading →

Metalithikum / Thinking as an Algebraic Mechanist

One plenum? Many real infinities? Notes on the virtuality of order corresponding to polynomial grammaticality

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Polynomials name terms that comprehend ever so much as the term is capable of bounding within a constellation of terms as incorporated by a formulaic system. the determinability of this so much is added separately, by the decision regarding which numerical domain is being put at the basis of the solution space. What is a quantity?  It is not … Continue reading →

Distinguishing the General from the Generic / Metalithikum / Pre-specificity / Thinking as an Algebraic Mechanist

Characteristica Designata VI: emerging fields in the synthesis and analysis of data

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Contemporary technologies operative on the symbols of universal algebra and their code-based characteristics, namely information, have meanwhile spelled out three fields that begin to appear within the emerging logistically based order. I will attempt to characterize these fields (as the beginning of a to-be-continued reformulation and articulation): Quantum Activity as a  kind of actuality that abstracts from … Continue reading →

Distinguishing the General from the Generic / Metalithikum / Pre-specificity / Thinking as an Algebraic Mechanist

Characteristica Designata V: legacies of philosophical realism

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The distinctions I would like to draw involve whether and how learning can be considered a private activity or a personal one, whether and how we can think of it as being achievable by realizing ones potentials or by appropriating and identifying with the role of an intellectual princeps or master, or less Aristotelean and … Continue reading →

Algebraic Concepts Characterized / Distinguishing the General from the Generic / Metalithikum / Pre-specificity / Thinking as an Algebraic Mechanist

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

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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 →

Algebraic Concepts Characterized / Distinguishing the General from the Generic / Metalithikum / Pre-specificity / Thinking as an Algebraic Mechanist

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

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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 →

Algebraic Concepts Characterized / Distinguishing the General from the Generic / Metalithikum / Pre-specificity

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

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“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 →

Algebraic Concepts Characterized / Distinguishing the General from the Generic / Metalithikum / Pre-specificity / Thinking as an Algebraic Mechanist

Characteristica Designata I

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This series of posts will focus a an old theme in philosophy, the idea that there can be a characteristics capable of expressing that of which we can say that it is a property of all things. My interest is to consider a shift in how we can relate to such universality which took place … Continue reading →

Book Reviews / Gilles Deleuze / Little Dramas Staged / Thinking as an Algebraic Mechanist

Peter Sloterdijk’s phantastic philosophy—taking the concept of the differential as a relational measure

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Abstract How can we consider the situation of thought leaving the interiority of the thinking subject ? With this theme as an underlying motive throughout many of his writings, Peter Sloterdijk considers the question of hominization in terms of anthropotechnics. The primary importance of technological developments, he holds, concerns thinking. More specifically, we are challenged … Continue reading →

»printed physics«
Metalithikum / Projective Theory of Technology

»printed physics«

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»printed physics« war die erste Klausur in einer Reihe von Veranstaltungen, die ich am Laboratory for Applied Virtuality (CAAD, Institute for Information Technology in Architecture, Swiss Federal Institute of Technology ETH in Zurich) zusammen mit der Stiftung Werner Oechslin in Einsiedeln, Schweiz, organisiere.  Technology is not simply technology, it changes character over time. We suggest there is a … Continue reading →

»domesticating symbols«
Metalithikum / Projective Theory of Technology

»domesticating symbols«

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»domesticating symbols« war die zweite Klausur in einer Reihe von Veranstaltungen, die ich am Laboratory for Applied Virtuality (CAAD, Institute for Information Technology in Architecture, Swiss Federal Institute of Technology ETH in Zurich) zusammen mit der Stiftung Werner Oechslin in Einsiedeln, Schweiz, organisiere.  Technology is not simply technology, it changes character over time. We suggest there is … Continue reading →

»symbolizing existence«
Metalithikum / Projective Theory of Technology

»symbolizing existence«

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»symbolizing existence« war die dritte Klausur in einer Reihe von Veranstaltungen, die ich am Laboratory for Applied Virtuality (CAAD, Institute for Information Technology in Architecture, Swiss Federal Institute of Technology ETH in Zurich) zusammen mit der Stiftung Werner Oechslin in Einsiedeln, Schweiz, organisiere.  Technology is not simply technology, it changes character over time. We suggest there … Continue reading →

Algebraic Concepts Characterized / Distinguishing the General from the Generic / Little Dramas Staged / Plotting from History / Pre-specificity / Projective Theory of Technology / Thinking as an Algebraic Mechanist

Continuing the Dedekind Legacy – Computing within the open totality of what can be the object of thought

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abstract The paper presents an architectonic notion of computation in the philosophical sense, which depart from the genuinely algebraic ideas in number theory that have been articulated a.o. by Richard Dedekind. Such a perspective interprets the idea of singularity (Ray Kurzweil) as a hubris in the Fregean positivist tradition relying on some „third empire of … Continue reading →

Algebraic Concepts Characterized / Gilles Deleuze / Little Dramas Staged / Plotting from History / Projective Theory of Technology / Thinking as an Algebraic Mechanist

The idea of a Characteristica Universalis between Leibniz and Russell, and its relevancy today

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Abstract In this post I will investigate the Leibnizian idea of a Characteristica Universalis from a comparative point of view on two diverging paradigms on computation that can be distinguished, as I will argue, to have emerged since the end of the 19th century. While algebraists like Augustus de Morgan, George Boole, Charles Sanders Peirce … Continue reading →

Shape Grammars beyond their analytical application
architectonic articulations - the stanzaic structure of genuinely procedural forms / Projective Theory of Technology / Thinking as an Algebraic Mechanist

Shape Grammars beyond their analytical application

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Die Modelle von Benjamin Dillenburger erinnern unmittelbar an die Hängestrukturen, die wir von Gaudi kennen. Bei einem zweiten Blick jedoch zeigt sich eine Irritation: Verglichen mit der Natur-Ästhetik, die mit Gaudi assoziiert wird, stellen Dillenburger‘s Modelle sich in einer „unnötig“ differenzierten Gestalt dar – unnötig deshalb, weil Gaudis Hängemodelle als Inbegriff für eine Art „natürlicher … Continue reading →

Neo-baroque Articulation of Columns: Modules, Solids, Units
Algebraic Concepts Characterized / architectonic articulations - the stanzaic structure of genuinely procedural forms / Projective Theory of Technology / Thinking as an Algebraic Mechanist

Neo-baroque Articulation of Columns: Modules, Solids, Units

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We are familiar with the use of generative grammars, L-systems or other recursive procedural frameworks, similar to the subdivision generally applied here in the work of Michael Hansmeyer, mainly from the analysis of natural process and organic structures. What is extraordinary about these examples here is the fact that Hansmeyer does not seek to reference … Continue reading →

architectonic articulation – the stanzaic structure of genuinely procedural shapes
architectonic articulations - the stanzaic structure of genuinely procedural forms / Gilles Deleuze / Projective Theory of Technology / Thinking as an Algebraic Mechanist

architectonic articulation – the stanzaic structure of genuinely procedural shapes

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Most architects working with CAAD today are, at least from the perspective of their daily practice, well familiar with what constitutes the main topos in Deleuzes’ and Guattaris’ text „Geology of Morals (Who Does the Earth Think it is)“ [1], namely the assumed primacy of code to form. However, the dynamics of concretion which is proposed in … Continue reading →

Little Dramas Staged / Plotting from History / Projective Theory of Technology

Object Oriented Philosophy (OOP) – or turning the Style of Neue Sachlichkeit into a philosophical Doctrine ?

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This post ist stimulated by a recent lecture given by Gilles Retsin at the CAAD Chair at ETH in Zurich entitled “Object Oriented Design”. It raised an interesting thought regarding this new and highly popular theory wave called Object Oriented Philosophy or Object Oriented Ontology (associated with Graham Harman, Levi Byrant, Timothy Morton a.o.), which is emphatically welcomed by … Continue reading →

Algebraic Concepts Characterized / Little Dramas Staged / Plotting from History / Projective Theory of Technology / Thinking as an Algebraic Mechanist

Within the Republic of Things – what architectonic form would the Roman Capitol have if it were transformable today into a philosophical school?

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“All algebraic inquiries, sooner or later, end at the Capitol of modern algebra over whose shining portal is inscribed the Theory of Invariants.” This writes Arthur Cayley in a letter, around 1850, to his friend James Joseph Sylvester [1]. It strangely resonates, as a statement, with another very famous saying, namely every road leads to Rome. … Continue reading →

Algebraic Concepts Characterized / Little Dramas Staged

A “Lobachevsky-like” revolution in arithmetics

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“I have not yet any clear view as to the extent to which we are at liberty arbitrarily to create imaginaries, and to endow them with supernatural properties” declared John Graves in reaction to his mathematician friend’s invention of the quaternions (Hamilton 1843). Henri Poincaré held it as: “a revolution in arithmetic which is entirely … Continue reading →

Book Reviews / Little Dramas Staged / Plotting from History

Wilfrid Sellar’s essays Within the Space of Reasons (2007) – a puzzled question

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How can it be, that a Wittgenstein scholar like Wilfrid Sellars, in his recent book Within the Space of Reasons (Harvard UP 2007),when he discusses Wittgenstein’s view in the Tractatus on predication, doesn’t hesitate to leave the entire debate in the philosophy of mathematics which was culminating in Wittgenstein’s time, completely without mention. Undoubtedly, the problem of predication in philosophical … Continue reading →

Gilles Deleuze

Not the depth of metaphysics, metaphysical surface

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The following text is an excerpt from my book Inhabiting Media, Annäherungen an Herkünfte und Topoi medialer Architektonik (PHD Thesis, University Basel 2009/11) Das »Informelle«. Oder: Zum Konzept der Ähnlichkeit als Medium. »Logic of Sense is therefore an answer to the question: How are series determined with no external reference point?« – James Williams [61] In Logik des Sinns beschreibt … Continue reading →

Gilles Deleuze

The idea as a differential of thought

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The following text is an excerpt from my book Inhabiting Media, Annäherungen an Herkünfte und Topoi medialer Architektonik (PHD Thesis, University Basel 2009/11) Die Idee als »Differential« des Denkens. Oder: Zum Verhältnis von Struktur und Genese im Sprachspiel des Virtuellen »Jede Umgestaltung eines im echten und fruchtbaren Sinne »formalen« Begriffs zieht hier zugleich eine neue Auffassung … Continue reading →

Gilles Deleuze

Not categories, fantastical notions !

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The following text is an excerpt from my book Inhabiting Media, Annäherungen an Herkünfte und Topoi medialer Architektonik (PHD Thesis, University Basel 2009/11) Die Frage nach dem Sinn. Oder: Das Problem des Anfangs. »Zwischen den Problemen und den Sätzen besteht stets eine Wesensdifferenz.« – Gilles Deleuze[1] Das Denken unterhält die Beziehung zu einem Aussen. Gleichzeitig ist … Continue reading →

Algebraic Concepts Characterized

Deleuze’s notion of the Differential

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“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

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“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

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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

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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)

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(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)

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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 →

Algebraic Concepts Characterized / Thinking as an Algebraic Mechanist

Scopes of analysis and synthesis enabled in different ways by different “number spaces”

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The assumption I am trying to organize and structure in this post is thought-in-action (careful! no uncritical taking for facts): 1   “analogy” and “proportionality” the identity of a term expressing a “quantity” is comprehended as determinable only within a relational order. The problems are formulated in words, not yet in (algebraic) symbolic notation. We … Continue reading →

Distinguishing the General from the Generic / Pre-specificity / Thinking as an Algebraic Mechanist

The Integrity of Objects: Design, Information, and the Form of Actuality

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[to appear in ADD METAPHYSICS, ed. by Jenna Sutela et.al. Aalto University Digital Design Laboratory, ADDLAB (forthcoming)] We are so accustomed to information that it feels strange to claim that information is not. Yet information has no weight, no extension, no body; it is reducible neither to physical matter nor energy. Nevertheless, it has impacts. We experience … Continue reading →

Little Dramas Staged / Thinking as an Algebraic Mechanist

From the Cosmic City to the Articulated City I – A Psycho-Political Essay

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In the Quantum City, it is mainly existentialists who gather. Existentialists of the symbolic. People who know they could do virtually anything, if they wanted to, and if they got organized properly. Yet they feel largely undecided. There is a sense of brute potency all around them, which at one and the same time attracts … Continue reading →

PHD Kolloquium Winter 2012: Computability in the light of the Master Argument
Projective Theory of Technology

PHD Kolloquium Winter 2012: Computability in the light of the Master Argument

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download flyer PhD Kolloquium in Projective Theory on Technology, Wintersemester 2012, LAV CAAD Swiss Federal Institute of Technology ETH Zürich, Switzerland Computability – considered in the light of the Master Argument Computation is largely treated today as the procedure to »mechanize« »logics«. Our interest with a projective theory on technology is not to reject (negate) or … Continue reading →

Algebraic Concepts Characterized / Gilles Deleuze / Plotting from History

Articulating quantities – when things depend on whatever can be the case

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Paper delivered at the ART OF CONCEPT conference, MaMa in Zagreb (June 2012) It is a first attempt to speak about what I call the Dedekindian, Boolean, and Deleuzean notion of reasoning as concerning not the totality of what there is, but as the totality of what can be thought rigorously.  download manuscript Bühlmann_ArticulatingQuantities „Man can think … Continue reading →

PHD Kolloquium Summer 2012: Computation, and the question of the applicability of arithmetics
Projective Theory of Technology

PHD Kolloquium Summer 2012: Computation, and the question of the applicability of arithmetics

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PhD Kolloquium in Projective Theory on Technology, Summer semester 2012, LAV CAAD Swiss Federal Institute of Technology ETH Zürich, Switzerland download flyer Computation is treated today as an art, just as Mechanics had been in the Renaissance and the Baroque periods. This basically means that its actual performance is widely recognized and welcome, striking in effect, … Continue reading →

abstraction as a method: affirm, negate, multiply, popularize, infinitize, invert
Little Dramas Staged

abstraction as a method: affirm, negate, multiply, popularize, infinitize, invert

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»Oh Newton, if you have managed, with the light and the sublimity of your genius, to determine the figure of the earth, so it is my own project to envelop you with your own discovery. This is, in a certain manner, to have you being enveloped with yourself […].« (Etienne Louis Boullée (1728-1799) Originally in French: … Continue reading →