....sheafs. when things are whatever can be the case..SHEAFS. WHEN THINGS ARE WHATEVER CAN BE THE CASE....
....Ludger Hovestadt,
Vera bühlmann
Springer, 2013
..LUDGER HOVESTADT,
VERA BÜHLMANN
Springer, 2013....
....SWR2 Die Buchkritik: Rezension von Johannes S. Sistermanns
Sendedatum: 21.11.2014
Redaktion: SWR2 Literatur..
SWR2 Die Buchkritik: Rezension von Johannes S. Sistermanns
Sendedatum: 21.11.2014
Redaktion: SWR2 Literatur ....
....(INSTEAD OF AN) INTRODUCTION
„The systematic form of philosophy was elaborated to answer the ontological question posed by the advent of axiomatics when it jolted the unified world of myth, moulded as it was, by natural language.“
So Jules Vuillemin, in his seminal book What Are Philosophical Systems (p. vii)
INCEPTION What is the core of global politics? Fanned out by worldwide logistics, the familiar axiomatic systems are losing their stability. Many have been describing this process as a process of erosion and decay, they warn and summon irreducible “elements” instead. In this book we would like to present an ode to our world in the moment when it looses its analytical sterility. And we find fertilities and engenderings everywhere. We no longer expect the constitution of things in logical forms, we begin to find them in the symbolics of algebra. In its theory of abstract symmetries, with its structural concepts of groups, fields, rings, domains, and categories.
INDEX This book does not describe anything. It does not judge. It inspires. You will find no continuous texts. But you will nd a wide range of topics. This book is a sheave of indexes. An index again is a sheave of indexes. So how to read this book? Take the notions seriously. Search the internet and they will loose their generalness. They will begin to speak to you vividly. They will become richer and richer. Bundle these riches with the riches of other notions and they will activate each other. Give them a mark, a label, an index of your own. Treat them as strange identities and learn to get familiar with them. Also take the pictures seriously. Photograph or scan them. Use them as an index, just like the notions, while search- ing the Internet. Again, you will nd rich stories. Bundle those riches, concentrate them into new identities that are interesting to you. The more accurate you can address them, in terms of your interest, the richer and livelier they get. Let yourself be inspired by the intellectual wealth of our world. This is the way in which this book has been created. And you can continue it. It is an exciting adventure. Demanding and optimistic.
PS Remember the first daguerreotypes? They are beautiful and they are not perfect. We suggest to regard the poor technical quality of some of the images as a phenomenon of 2012. What could we do about it? If we are looking for high quality, work gets expensive and slow. If we want to be fast and sense the pulse of the developments, this goes at the expense of technical quality. We hold that today, technology is simply not longer the primary issue. Within some 5 years, such a book will be able to appear in much better technical quality without any additional effort.
SHEAVES. A bundle of indexes to that for which we hold great esteem. The celebration of symbolic fertilities. Very simple, and yet so difficult. For within the symbolic, the General is no longer without sex and gender. It starts to familiarize itself with its own kind. The empty forms, the abstract schemata, the classes and types reveal themselves according to their different generations. Because each of these generations allows for different operable conceptualizations. Hence we start to learn about the capacity that is proper to the General-as-a-kind, namely that of engendering through abstraction. This capacity starts to figure in different modalities: finitely and infinitary methods of abstraction. While we are rather well familiar, meanwhile, with the finite modalities of the General’s capacity for demonstrative definition and delimitation, we only begin to learn about its powers in the modality of infinitary methods. The infinitary methods we know today follow the genetic methods of root extraction and factorization, and those of generic transformations. As a kind, the general now seeks to populate and maintain itself qua formulaic identities that can be named, in a grammar where nouns will extend into the symbolic formality of polynomials. By applying those methods we are flirting with the spiritual on the grounds of explicit communicability, and we experience something like the coming-out of the general. Their quickening, their vivacity, within a queer culture of conceptual mathematization. Is this book to be read as an encyclopedia then, in continuation of Jean-Baptiste le Rond d’Alembert and Denis Diderot? Or as a collection of eccentricities, as a budget of paradoxes à la Augustus de Morgan? Their problem had been how to possibly orientate thought in between two opposed orders: the analytic order which proceeds from the complex to the simple, trying to sort confusion into distinction, and that of the synthetic, which reverses the directions. The problem as we understand it today concerns the articulate-ability of both order’s teamwork. Welcome to the symbolic! Welcome to the reality of conceptual mathematics, which seeks no longer to be uniformally and universally applicable, but which instead grants its categories to comprehend entire universes. Conceptions for which qualities can be extracted and grasped by an open interplay between formulation and resolution. Mathematics for which quantities are organized within the abstract into fields and domains, providing the support to reason rigorously yet fantastically about the conceivable qualities. Certainly there is something awful about this situation, in the literal yet doubled sense of that word meaning on the one hand something which respects awe and inspires reverence, but also something which feels dreadful and unbearable. We don’t think there is any absolute necessity to face this situation. Precisely because we don’t think so we would like to suggest viewing it as a secular party, a reign and festivity we can be glad to attend. With this book we wish, by placing indexes, to mark a domain of artefactuality for learning to formulate questions related to this situation. We think it is adequate to do so as a declaration of love for the life, the reasoning and the learning possible on planet earth. This domain of artefactuality conceives of things neither as objects or essences, nor as singularities, but in all grammatical openness and expressivity as that, which can be the case. This domain of artefactuality extends on a level which we call pre- specific. Each artefact encapsulates certain dramatizations of voice, time, place, relation. This pre-specicity manifests itself in the stories and narratives, in the oeuvres, the products and the articles that populate our everyday lives as much as the space of intellectuality as a whole. All the images in this book are gathered from the diverse world-wide media networks to which more and more people have access. Instead of controlling our search by choosing keywords, we have searched the data networks by using our own photographs, texts, drawings as indexes. We have sent these indexes to the data networks with a quest for returning images, texts, drawings similar to those we use as indexes.Thus there is an individual as well as a generic story behind every single image contained in this book. And the reader will certainly have her or his own story to tell about it. There is nothing extraordinary about the images we have selected. We were not interested in staging drastic phenomena in an exemplary manner. Rather, we wanted to encoun- ter all the clichés, those apparently empty forms, at casual occasions. What would they be telling us, if we met them – with casual interest and curios- ity, yet without binding obligations – at a cocktail party on a Friday night?
OIKOS ‘economy’ means gain, thrift, less burde, daving; it is defined as the rule for the good administration of a house, derived from the greek ‘oikos’, which means house, and from ‘nomos’ going back to ‘nemein’, which means to deliver, to distribute. Economy concerns the good management of the stocks and flows in a household (Greek: oikos).
EXISTENTIALISM is the chilly cultural climate where people become aware that their capacities have gotten out of rational or natural proportion. The existentialist feels like Gulliver the Giant in the Land of Fragility: the reality of existence is marked by an incredible asymmetry and incommensurability between the idea of Being as a primitive, and existing as the product of the complex ways in which we reason about Being, insofar as Being is meant as being part of meaningful civilizations.
table of contents
MUCH 10, exuberance 12, curiosity 15, reference 20, inversion 27, sophistication 33, insertion 40, eternal 45, narration 48, symbolization 54, imagine 60
FEAR 70, sourcing 70, calculating 77, grounding 80, balancing 84, correctness 88, symbolic reality 92, symbolicaly declared identity 101, existence 109, empowerment 118, insistence 122, generalizations 128, truth 133, devotion 138, difference 148, enclose 152
SUN 156, good morning 157, turbulences 165, capsules 170, sediment 180, plateaus 185
BREATH 190, engendering 191, delight 199, decadence 202, ability 205, concentration 208, eagerness 213, urban architectonics 217, partition and paradoxes 219, existence 202, the symbolic nature of quantity 225, the evocative reality of numerosity 228, engendering. data space is quantum reality. think- ing within the amphibolic 230, polynominality of series 231, like tales at the foot of the pyramids 235, posology of symbolic data 237, doping 240 learning to consider the motoricities proper to live forms as viewd from within a zoology of generas 243
FERTILITY 245, magic 246 shadow 250, writings 253, animation 260, ratio 268, subject 276, absolute 287, politics 295, population 302, symbolization 310, identification 320, logistics 325, supply 334, stimulation 342, incentive 347, embodiment 352, abstraction 356, ability 361
ENTROPY 374, logical analysis 375, complexity 380, probability 384, control 390, aesthetics 397, surrender 400
NEGLIGENCE 406, amazing 407, confidence 410, self-confidence 415, delicacy 420, intelligence 424, phantastic 428, eagerness 438, delight 442, relaxation 449, affairs 460
DOPING 468, any 470, narrative 478, inversion 484, activity 496, symbolic habitat 503, species 508, application 517, dating 524
..
(INSTEAD OF AN) INTRODUCTION
„THE SYSTEMATIC FORM OF PHILOSOPHY WAS ELABORATED TO ANSWER THE ONTOLOGICAL QUESTION POSED BY THE ADVENT OF AXIOMATICS WHEN IT JOLTED THE UNIFIED WORLD OF MYTH, MOULDED AS IT WAS, BY NATURAL LANGUAGE.“
SO JULES VUILLEMIN, IN HIS SEMINAL BOOK WHAT ARE PHILOSOPHICAL SYSTEMS (P. VII)
INCEPTION What is the core of global politics? Fanned out by worldwide logistics, the familiar axiomatic systems are losing their stability. Many have been describing this process as a process of erosion and decay, they warn and summon irreducible “elements” instead. In this book we would like to present an ode to our world in the moment when it looses its analytical sterility. And we find fertilities and engenderings everywhere. We no longer expect the constitution of things in logical forms, we begin to find them in the symbolics of algebra. In its theory of abstract symmetries, with its structural concepts of groups, fields, rings, domains, and categories.
INDEX This book does not describe anything. It does not judge. It inspires. You will find no continuous texts. But you will nd a wide range of topics. This book is a sheave of indexes. An index again is a sheave of indexes. So how to read this book? Take the notions seriously. Search the internet and they will loose their generalness. They will begin to speak to you vividly. They will become richer and richer. Bundle these riches with the riches of other notions and they will activate each other. Give them a mark, a label, an index of your own. Treat them as strange identities and learn to get familiar with them. Also take the pictures seriously. Photograph or scan them. Use them as an index, just like the notions, while search- ing the Internet. Again, you will nd rich stories. Bundle those riches, concentrate them into new identities that are interesting to you. The more accurate you can address them, in terms of your interest, the richer and livelier they get. Let yourself be inspired by the intellectual wealth of our world. This is the way in which this book has been created. And you can continue it. It is an exciting adventure. Demanding and optimistic.
PS Remember the first daguerreotypes? They are beautiful and they are not perfect. We suggest to regard the poor technical quality of some of the images as a phenomenon of 2012. What could we do about it? If we are looking for high quality, work gets expensive and slow. If we want to be fast and sense the pulse of the developments, this goes at the expense of technical quality. We hold that today, technology is simply not longer the primary issue. Within some 5 years, such a book will be able to appear in much better technical quality without any additional effort.
SHEAVES. A bundle of indexes to that for which we hold great esteem. The celebration of symbolic fertilities. Very simple, and yet so difficult. For within the symbolic, the General is no longer without sex and gender. It starts to familiarize itself with its own kind. The empty forms, the abstract schemata, the classes and types reveal themselves according to their different generations. Because each of these generations allows for different operable conceptualizations. Hence we start to learn about the capacity that is proper to the General-as-a-kind, namely that of engendering through abstraction. This capacity starts to figure in different modalities: finitely and infinitary methods of abstraction. While we are rather well familiar, meanwhile, with the finite modalities of the General’s capacity for demonstrative definition and delimitation, we only begin to learn about its powers in the modality of infinitary methods. The infinitary methods we know today follow the genetic methods of root extraction and factorization, and those of generic transformations. As a kind, the general now seeks to populate and maintain itself qua formulaic identities that can be named, in a grammar where nouns will extend into the symbolic formality of polynomials. By applying those methods we are flirting with the spiritual on the grounds of explicit communicability, and we experience something like the coming-out of the general. Their quickening, their vivacity, within a queer culture of conceptual mathematization. Is this book to be read as an encyclopedia then, in continuation of Jean-Baptiste le Rond d’Alembert and Denis Diderot? Or as a collection of eccentricities, as a budget of paradoxes à la Augustus de Morgan? Their problem had been how to possibly orientate thought in between two opposed orders: the analytic order which proceeds from the complex to the simple, trying to sort confusion into distinction, and that of the synthetic, which reverses the directions. The problem as we understand it today concerns the articulate-ability of both order’s teamwork. Welcome to the symbolic! Welcome to the reality of conceptual mathematics, which seeks no longer to be uniformally and universally applicable, but which instead grants its categories to comprehend entire universes. Conceptions for which qualities can be extracted and grasped by an open interplay between formulation and resolution. Mathematics for which quantities are organized within the abstract into fields and domains, providing the support to reason rigorously yet fantastically about the conceivable qualities. Certainly there is something awful about this situation, in the literal yet doubled sense of that word meaning on the one hand something which respects awe and inspires reverence, but also something which feels dreadful and unbearable. We don’t think there is any absolute necessity to face this situation. Precisely because we don’t think so we would like to suggest viewing it as a secular party, a reign and festivity we can be glad to attend. With this book we wish, by placing indexes, to mark a domain of artefactuality for learning to formulate questions related to this situation. We think it is adequate to do so as a declaration of love for the life, the reasoning and the learning possible on planet earth. This domain of artefactuality conceives of things neither as objects or essences, nor as singularities, but in all grammatical openness and expressivity as that, which can be the case. This domain of artefactuality extends on a level which we call pre- specific. Each artefact encapsulates certain dramatizations of voice, time, place, relation. This pre-specicity manifests itself in the stories and narratives, in the oeuvres, the products and the articles that populate our everyday lives as much as the space of intellectuality as a whole. All the images in this book are gathered from the diverse world-wide media networks to which more and more people have access. Instead of controlling our search by choosing keywords, we have searched the data networks by using our own photographs, texts, drawings as indexes. We have sent these indexes to the data networks with a quest for returning images, texts, drawings similar to those we use as indexes.Thus there is an individual as well as a generic story behind every single image contained in this book. And the reader will certainly have her or his own story to tell about it. There is nothing extraordinary about the images we have selected. We were not interested in staging drastic phenomena in an exemplary manner. Rather, we wanted to encoun- ter all the clichés, those apparently empty forms, at casual occasions. What would they be telling us, if we met them – with casual interest and curios- ity, yet without binding obligations – at a cocktail party on a Friday night?
OIKOS ‘economy’ means gain, thrift, less burde, daving; it is defined as the rule for the good administration of a house, derived from the greek ‘oikos’, which means house, and from ‘nomos’ going back to ‘nemein’, which means to deliver, to distribute. Economy concerns the good management of the stocks and flows in a household (Greek: oikos).
EXISTENTIALISM is the chilly cultural climate where people become aware that their capacities have gotten out of rational or natural proportion. The existentialist feels like Gulliver the Giant in the Land of Fragility: the reality of existence is marked by an incredible asymmetry and incommensurability between the idea of Being as a primitive, and existing as the product of the complex ways in which we reason about Being, insofar as Being is meant as being part of meaningful civilizations.
TABLE OF CONTENTS
MUCH 10, exuberance 12, curiosity 15, reference 20, inversion 27, sophistication 33, insertion 40, eternal 45, narration 48, symbolization 54, imagine 60
FEAR 70, sourcing 70, calculating 77, grounding 80, balancing 84, correctness 88, symbolic reality 92, symbolicaly declared identity 101, existence 109, empowerment 118, insistence 122, generalizations 128, truth 133, devotion 138, difference 148, enclose 152
SUN 156, good morning 157, turbulences 165, capsules 170, sediment 180, plateaus 185
BREATH 190, engendering 191, delight 199, decadence 202, ability 205, concentration 208, eagerness 213, urban architectonics 217, partition and paradoxes 219, existence 202, the symbolic nature of quantity 225, the evocative reality of numerosity 228, engendering. data space is quantum reality. think- ing within the amphibolic 230, polynominality of series 231, like tales at the foot of the pyramids 235, posology of symbolic data 237, doping 240 learning to consider the motoricities proper to live forms as viewd from within a zoology of generas 243
FERTILITY 245, magic 246 shadow 250, writings 253, animation 260, ratio 268, subject 276, absolute 287, politics 295, population 302, symbolization 310, identification 320, logistics 325, supply 334, stimulation 342, incentive 347, embodiment 352, abstraction 356, ability 361
ENTROPY 374, logical analysis 375, complexity 380, probability 384, control 390, aesthetics 397, surrender 400
NEGLIGENCE 406, amazing 407, confidence 410, self-confidence 415, delicacy 420, intelligence 424, phantastic 428, eagerness 438, delight 442, relaxation 449, affairs 460
DOPING 468, any 470, narrative 478, inversion 484, activity 496, symbolic habitat 503, species 508, application 517, dating 524 ....