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Author: Chiara Esposito
Publisher: Springer
ISBN: 3319092901
Category : Science
Languages : en
Pages : 98
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Book Description
This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educational introduction for mathematical physicists who are dealing with the subject for the first time. The main topics covered are the theory of Poisson manifolds, star products and their classification, deformations of associative algebras and the formality theorem. Readers will also be familiarized with the relevant physical motivations underlying the purely mathematical construction.
Author: Chiara Esposito
Publisher: Springer
ISBN: 3319092901
Category : Science
Languages : en
Pages : 98
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Book Description
This book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educational introduction for mathematical physicists who are dealing with the subject for the first time. The main topics covered are the theory of Poisson manifolds, star products and their classification, deformations of associative algebras and the formality theorem. Readers will also be familiarized with the relevant physical motivations underlying the purely mathematical construction.
Author: Arthur L. Stinchcombe
Publisher: University of Chicago Press
ISBN: 0226774961
Category : Law
Languages : en
Pages : 219
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Book Description
Introduction : why is formality so unpopular? -- A redefinition of the concept of formality -- Legal formality and graphical planning languages -- Certainty of the law : reasons, situation-types, analogy, and equilibrium -- The social structure of liquidity : flexibility in markets, states, and organizations / Bruce G. Carruthers, Arthur L. Stinchcombe -- Formalizing rightlessness in immigration law and administration -- Formalizing epistemological stratification of knowledge -- Conclusion : the varieties of formality.
Author: Pascal Lambrechts
Publisher: American Mathematical Soc.
ISBN: 0821892126
Category : Mathematics
Languages : en
Pages : 130
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Book Description
The little -disks operad, , along with its variants, is an important tool in homotopy theory. It is defined in terms of configurations of disjoint -dimensional disks inside the standard unit disk in and it was initially conceived for detecting and understanding -fold loop spaces. Its many uses now stretch across a variety of disciplines including topology, algebra, and mathematical physics. In this paper, the authors develop the details of Kontsevich's proof of the formality of little -disks operad over the field of real numbers. More precisely, one can consider the singular chains on as well as the singular homology of . These two objects are operads in the category of chain complexes. The formality then states that there is a zig-zag of quasi-isomorphisms connecting these two operads. The formality also in some sense holds in the category of commutative differential graded algebras. The authors additionally prove a relative version of the formality for the inclusion of the little -disks operad in the little -disks operad when .
Author: Andrew Edward Beck
Publisher:
ISBN: 9781267010933
Category : First-order logic
Languages : en
Pages : 246
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Book Description
"Form" is one of the first concerns of philosophy, though its centrality to philosophy has somewhat faded. However, in the last few decades it has reemerged as a central idea in a particular area of philosophy -- the demarcation of "logicality." I show that it should be of concern more broadly. As invariance, the underlying principle used to characterize logical formality, is not itself essentially logical, important questions arise. Can invariance be used to characterize other formal theories? Can it furthermore form the basis of a contemporary, general theory of formality? I develop and advocate for just such a general theory of formality (GTOF). This GTOF is based on a notion of invariance which is completely generalized -- it consists simply of the stability of features under functional mappings in a given domain. Different domains and functional mappings give rise, then, to different types of formality. In advocating the view, I show that the GTOF has promise for an acceptable combination of adequacy -- it does minimal damage to intuitions about formality -- and usefulness. I first show that the GTOF rules geometrical theories to be formal. This is followed by an examination of standard first order logic, which illuminates the possibility that a close correlation between syntactic and semantic formalities may be distinctive of formal languages. This is bolstered by an examination of a number of programming languages and methods. Finally, some deeper consequences of the GTOF are examined and its association to other philosophical theories is explored. The general theory of formality I develop is a promising candidate to fill a gap in existing theory. Not only does it do justice to some of our deepest intuitions about formality, but it sheds light on important relationships between formal systems that have not been previously recognized.
Author: Arthur L. Stinchcombe
Publisher: University of Chicago Press
ISBN: 9780226774954
Category : Law
Languages : en
Pages : 236
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Book Description
Introduction : why is formality so unpopular? -- A redefinition of the concept of formality -- Legal formality and graphical planning languages -- Certainty of the law : reasons, situation-types, analogy, and equilibrium -- The social structure of liquidity : flexibility in markets, states, and organizations / Bruce G. Carruthers, Arthur L. Stinchcombe -- Formalizing rightlessness in immigration law and administration -- Formalizing epistemological stratification of knowledge -- Conclusion : the varieties of formality.
Author: Raimo Siltala
Publisher: Hart Publishing
ISBN: 1841131237
Category : Law
Languages : en
Pages : 304
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Book Description
In this study, the author identifies six types of judicial precedent-ideology and are tests them against judicial experiences in various countries.
Author: Whitney Davis
Publisher: Princeton University Press
ISBN: 1400836433
Category : Art
Languages : en
Pages : 400
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Book Description
What is cultural about vision--or visual about culture? In this ambitious book, Whitney Davis provides new answers to these difficult and important questions by presenting an original framework for understanding visual culture. Grounded in the theoretical traditions of art history, A General Theory of Visual Culture argues that, in a fully consolidated visual culture, artifacts and pictures have been made to be seen in a certain way; what Davis calls "visuality" is the visual perspective from which certain culturally constituted aspects of artifacts and pictures are visible to informed viewers. In this book, Davis provides a systematic analysis of visuality and describes how it comes into being as a historical form of vision. Expansive in scope, A General Theory of Visual Culture draws on art history, aesthetics, the psychology of perception, the philosophy of reference, and vision science, as well as visual-cultural studies in history, sociology, and anthropology. It provides penetrating new definitions of form, style, and iconography, and draws important and sometimes surprising conclusions (for example, that vision does not always attain to visual culture, and that visual culture is not always wholly visible). The book uses examples from a variety of cultural traditions, from prehistory to the twentieth century, to support a theory designed to apply to all human traditions of making artifacts and pictures--that is, to visual culture as a worldwide phenomenon.
Author: Roland Pfyl
Publisher: BoD – Books on Demand
ISBN: 3839126754
Category :
Languages : en
Pages : 274
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Book Description
Author: Robert De Beaugrande
Publisher: Routledge
ISBN: 1317900642
Category : Language Arts & Disciplines
Languages : en
Pages : 491
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Book Description
In Linguistic Theory, Robert de Beaugrande analyses linguistic theories not as abstract ideas or theses, but as the process and product of theoretical discourse. He argues that the best documentation of this discourse can be found in the 'fundamental' works of major linguists from Ferdinand de Saussure to Teun van Dijk and Walter Kintsch. He therefore employs the highly unusual strategy of a close reading of these works as discourse performances and strives to uncover their main points and characteristic moves in the linguist's own words. Through this approach, the reader is able to appreciate and understand the variety and controversy among linguistic theories as they have emerged and developed in interaction with each other. Special scrutiny is allocated to the issue of how far the active practice of the linguists followed their own theories and proposals, and why. The author concludes by assessing the prospects for linguistics to be drawn from the retrospect in the previous chapters.
Author: Gabriele M. Mras
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110654547
Category : Philosophy
Languages : en
Pages : 565
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Book Description
This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.
