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Formality Theory

Author: Chiara Esposito

Publisher: Springer

Published: 2014-09-04

Total Pages: 98

ISBN-13: 3319092901

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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.

Book Synopsis Formality Theory by : Chiara Esposito

Download or read book Formality Theory written by Chiara Esposito and published by Springer. This book was released on 2014-09-04 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Theory of Precedent

Author: Raimo Siltala

Publisher: Hart Publishing

Published: 2000-11-25

Total Pages: 304

ISBN-13: 1841131237

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In this study, the author identifies six types of judicial precedent-ideology and are tests them against judicial experiences in various countries.

Book Synopsis A Theory of Precedent by : Raimo Siltala

Download or read book A Theory of Precedent written by Raimo Siltala and published by Hart Publishing. This book was released on 2000-11-25 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study, the author identifies six types of judicial precedent-ideology and are tests them against judicial experiences in various countries.

When Formality Works

Author: Arthur L. Stinchcombe

Publisher: University of Chicago Press

Published: 2001-09-15

Total Pages: 236

ISBN-13: 9780226774954

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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.

Book Synopsis When Formality Works by : Arthur L. Stinchcombe

Download or read book When Formality Works written by Arthur L. Stinchcombe and published by University of Chicago Press. This book was released on 2001-09-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A General Theory of Formality

Author: Andrew Edward Beck

Publisher:

Published: 2011

Total Pages: 246

ISBN-13: 9781267010933

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"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.

Book Synopsis A General Theory of Formality by : Andrew Edward Beck

Download or read book A General Theory of Formality written by Andrew Edward Beck and published by . This book was released on 2011 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Formality at Work

Author: Roland Pfyl

Publisher: BoD – Books on Demand

Published: 2010

Total Pages: 274

ISBN-13: 3839126754

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Book Synopsis Formality at Work by : Roland Pfyl

Download or read book Formality at Work written by Roland Pfyl and published by BoD – Books on Demand. This book was released on 2010 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A General Theory of Visual Culture

Author: Whitney Davis

Publisher: Princeton University Press

Published: 2022-06-14

Total Pages: 400

ISBN-13: 1400836433

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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.

Book Synopsis A General Theory of Visual Culture by : Whitney Davis

Download or read book A General Theory of Visual Culture written by Whitney Davis and published by Princeton University Press. This book was released on 2022-06-14 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Philosophy of Logic and Mathematics

Author: Gabriele M. Mras

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2019-11-18

Total Pages: 565

ISBN-13: 3110654547

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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.

Book Synopsis Philosophy of Logic and Mathematics by : Gabriele M. Mras

Download or read book Philosophy of Logic and Mathematics written by Gabriele M. Mras and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Medical Brief

Author:

Publisher:

Published: 1885

Total Pages: 44

ISBN-13:

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Book Synopsis The Medical Brief by :

Download or read book The Medical Brief written by and published by . This book was released on 1885 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry

Author: Sergey Novikov

Publisher: American Mathematical Soc.

Published: 2021-04-12

Total Pages: 480

ISBN-13: 1470455927

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This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.

Book Synopsis Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry by : Sergey Novikov

Download or read book Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry written by Sergey Novikov and published by American Mathematical Soc.. This book was released on 2021-04-12 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.

The Semantic Conception of Logic

Author: Gil Sagi

Publisher: Cambridge University Press

Published: 2021-09-09

Total Pages: 316

ISBN-13: 1108529828

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This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.

Book Synopsis The Semantic Conception of Logic by : Gil Sagi

Download or read book The Semantic Conception of Logic written by Gil Sagi and published by Cambridge University Press. This book was released on 2021-09-09 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.