Forcing And Classifying Topoi
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Forcing And Classifying Topoi
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Author : Andrej Ščedrov
language : en
Publisher: American Mathematical Soc.
Release Date : 1984
Forcing And Classifying Topoi written by Andrej Ščedrov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
We give a general method of forcing over categories as a category-theoretic universal construction which subsumes, on one hand, all known instances of forcing in set theory, Boolean and Heyting valued models and sheaf interpretations for both classical and intuitionistic formal systems; and, on the other hand, constructions of classifying topoi in topos theory.
Forcing And Classifying Topoi
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Author : Andrej ÉSécedrov
language : en
Publisher:
Release Date : 1984
Forcing And Classifying Topoi written by Andrej ÉSécedrov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Categories categories.
Forcing And Classifying Topoi
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Author : Andrej Edrov
language : en
Publisher:
Release Date : 1984
Forcing And Classifying Topoi written by Andrej Edrov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Bibliography Of Mathematical Logic
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Author : Heinz-Dieter Ebbinghaus
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Bibliography Of Mathematical Logic written by Heinz-Dieter Ebbinghaus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
Algebra Topology And Category Theory
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Author : Alex Heller
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Algebra Topology And Category Theory written by Alex Heller and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Algebra, Topology, and Category Theory: A Collection of Papers in Honor of Samuel Eilenberg is a collection of papers dealing with algebra, topology, and category theory in honor of Samuel Eilenberg. Topics covered range from large modules over artin algebras to two-dimensional Poincaré duality groups, along with the homology of certain H-spaces as group ring objects. Variable quantities and variable structures in topoi are also discussed. Comprised of 16 chapters, this book begins by looking at the relationship between the representation theories of finitely generated and large (not finitely generated) modules over an artin algebra. The reader is then introduced to reduced bar constructions on deRham complexes; some properties of two-dimensional Poincaré duality groups; and properties invariant within equivalence types of categories. Subsequent chapters explore the work of Samuel Eilenberg in topology; local complexity of finite semigroups; global dimension of ore extensions; and the spectrum of a ringed topos. This monograph will be a useful resource for students and practitioners of algebra and mathematics.
Logic Colloquium 85
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Author : The Paris Logic The Paris Logic Group
language : en
Publisher: Elsevier
Release Date : 1987-01-01
Logic Colloquium 85 written by The Paris Logic The Paris Logic Group and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Mathematics categories.
The bulk of this volume consists of invited addresses presented at the Colloquium. These contributions report on recent or ongoing research in some of the mainstream areas of mathematical logic: model theory, both pure and in its applications (to group theory and real algebraic geometry); and proof theory, applied to set theory and diophantine equations.The major novel aspect of the book is the important place accorded to the connections of mathematical logic with the neighboring disciplines: mathematical foundations of computer science, and philosophy of mathematics.
Topos Theory
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Author : P.T. Johnstone
language : en
Publisher: Courier Corporation
Release Date : 2014-01-05
Topos Theory written by P.T. Johnstone and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-05 with Mathematics categories.
Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical computer science, this volume explores internal category theory, topologies and sheaves, geometric morphisms, and other subjects. 1977 edition.
Perspectives On The History Of Mathematical Logic
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Author : Thomas Drucker
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-21
Perspectives On The History Of Mathematical Logic written by Thomas Drucker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-21 with Mathematics categories.
This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science. “...this is an important book. It exposes the richness of ideas and viewpoints, the difficult and not always direct pathways taken in the development of mathematical logic in the last century, and the various factors which did and continue to affect that development.” Modern Logic
Proof And Computation Ii From Proof Theory And Univalent Mathematics To Program Extraction And Verification
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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2021-07-27
Proof And Computation Ii From Proof Theory And Univalent Mathematics To Program Extraction And Verification written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-27 with Mathematics categories.
This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes proof theory, constructive mathematics and type theory, univalent mathematics and point-free approaches to topology, extraction of certified programs from proofs, automated proofs in the automotive industry, as well as the philosophical and historical background of proof theory. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.
Discourse Use Of Military Force And Role Of State
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Author : Xiaoshan Ni
language : en
Publisher: Cuvillier Verlag
Release Date : 2022-11-25
Discourse Use Of Military Force And Role Of State written by Xiaoshan Ni and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-25 with Political Science categories.
As the prototype of the “civilian power”, Germany has always stressed the importance and necessity of diplomatic means to resolve crises. The participation of the Bundeswehr in the International Security Assistance Force (ISAF) in Afghanistan was a significant exercise of the new security policy after German reunification. Given that linguistic actors construct knowledge through their personal actions, security policy is necessarily reflected in the relevant discourses of political elites. This publication attempts to combine Linguistic Discourse Analysis and Role Theory to construct a role-theoretic discourse analysis approach for German security policy study: The parliamentary debate is a prerequisite for the legitimizing mandate for the use of the German military abroad; the topos/topoi and (pro-and contra-) arguments construct the parliamentary debate discourse and influence decisions on military action abroad; the use of the topos/topoi and arguments is constructed by the role perceptions of the German political elite, and the final decisions are the result of behavioral preferences influenced by role perceptions.