Sketches Of An Elephant A Topos Theory Compendium

Author : P. T. Johnstone
Publisher : Oxford University Press
ISBN 13 : 9780198515982
Total Pages : 836 pages
Book Rating : 4.87/5 ( download)

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Download or read book Sketches of an Elephant: A Topos Theory Compendium written by P. T. Johnstone and published by Oxford University Press. This book was released on 2002-09-12 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and to thereby demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

Author : Peter T. Johnstone
Publisher : Clarendon Press
ISBN 13 : 9780198515982
Total Pages : 0 pages
Book Rating : 4.87/5 ( download)

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Download or read book Sketches of an Elephant: A Topos Theory Compendium written by Peter T. Johnstone and published by Clarendon Press. This book was released on 2002-09-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topos Theory is an important branch of mathematical logic of interest to theoretical computer scientists, logicians and philosophers who study the foundations of mathematics, and to those working in differential geometry and continuum physics. This compendium contains material that was previously available only in specialist journals. This is likely to become the standard reference work for all those interested in the subject.

Author : Peter T. Johnstone
Publisher :
ISBN 13 : 9780198524960
Total Pages : 467 pages
Book Rating : 4.6X/5 ( download)

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Download or read book Sketches of an Elephant written by Peter T. Johnstone and published by . This book was released on 2002 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : P. T. Johnstone
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.49/5 ( download)

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Download or read book Sketches of an Elephant: Toposes as categories ; 2-categorical aspects of topos theory written by P. T. Johnstone and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and to thereby demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

Author : P. T. Johnstone
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.49/5 ( download)

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Download or read book Sketches of an Elephant: Toposes as spaces ; Toposes as theories written by P. T. Johnstone and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and to thereby demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

Author : Dov M. Gabbay
Publisher : Oxford University Press
ISBN 13 : 0198511744
Total Pages : 524 pages
Book Rating : 4.48/5 ( download)

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Download or read book Interpolation and Definability written by Dov M. Gabbay and published by Oxford University Press. This book was released on 2005-05-12 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a specialized monograph on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where logic is applied, especially computer science, artificial intelligence, logic programming, philosophy of science and natural language.Suitable for researchers and graduate students in mathematics, computer science and philosophy, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (second edition), J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and NonmonotonicReasoning, P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2, and David J. Pym and Eike Ritter's Reductive Logic and Proof Search: Proof theory, semantics and control.

Author : Emily Riehl
Publisher : Courier Dover Publications
ISBN 13 : 0486820807
Total Pages : 272 pages
Book Rating : 4.04/5 ( download)

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Download or read book Category Theory in Context written by Emily Riehl and published by Courier Dover Publications. This book was released on 2017-03-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.

Author : Ralf Hinze
Publisher : Cambridge University Press
ISBN 13 : 1009317865
Total Pages : 197 pages
Book Rating : 4.63/5 ( download)

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Download or read book Introducing String Diagrams written by Ralf Hinze and published by Cambridge University Press. This book was released on 2023-07-31 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first introductory account of using string diagrams to reason in elementary category theory.

Author : Jean-Pierre Marquis
Publisher : Springer Science & Business Media
ISBN 13 : 1402093845
Total Pages : 316 pages
Book Rating : 4.45/5 ( download)

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Download or read book From a Geometrical Point of View written by Jean-Pierre Marquis and published by Springer Science & Business Media. This book was released on 2008-11-20 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein’s Erlangen program in geometry is in fact a particular instance of a general and broad phenomenon revealed by category theory. The volume starts with Eilenberg and Mac Lane’s work in the early 1940’s and follows the major developments of the theory from this perspective. Particular attention is paid to the philosophical elements involved in this development. The book ends with a presentation of categorical logic, some of its results and its significance in the foundations of mathematics. From a Geometrical Point of View aims to provide its readers with a conceptual perspective on category theory and categorical logic, in order to gain insight into their role and nature in contemporary mathematics. It should be of interest to mathematicians, logicians, philosophers of mathematics and science in general, historians of contemporary mathematics, physicists and computer scientists.

Author : Dieter Probst
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 1501502646
Total Pages : 392 pages
Book Rating : 4.44/5 ( download)

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Download or read book Concepts of Proof in Mathematics, Philosophy, and Computer Science written by Dieter Probst and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-07-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction.