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A Model–Theoretic Approach to Proof Theory, Henryk Kotlarski; Zofia Adamowicz; Teresa Bigorajs


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Автор: Henryk Kotlarski; Zofia Adamowicz; Teresa Bigorajs
Название:  A Model–Theoretic Approach to Proof Theory
ISBN: 9783030289201
Издательство: Springer
Классификация:


ISBN-10: 3030289206
Обложка/Формат: Hardcover
Страницы: 109
Вес: 0.36 кг.
Дата издания: 2019
Серия: Trends in Logic
Язык: English
Иллюстрации: XVIII, 109 p. 53 illus., 1 illus. in color.
Размер: 236 x 158 x 10
Основная тема: Philosophy
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents a detailed treatment of ordinal combinatorics of large sets tailored for independence results. It uses model theoretic and combinatorial methods to obtain results in proof theory, such as incompleteness theorems or a description of the provably total functions of a theory.In the first chapter, the authors first discusses ordinal combinatorics of finite sets in the style of Ketonen and Solovay. This provides a background for an analysis of subsystems of Peano Arithmetic as well as for combinatorial independence results. Next, the volume examines a variety of proofs of G?dels incompleteness theorems. The presented proofs differ strongly in nature. They show various aspects of incompleteness phenomena. In additon, coverage introduces some classical methods like the arithmetized completeness theorem, satisfaction predicates or partial satisfaction classes. It also applies them in many contexts. The fourth chapter defines the method of indicators for obtaining independence results. It shows what amount of transfinite induction we have in fragments of Peano arithmetic. Then, it uses combinatorics of large sets of the first chapter to show independence results. The last chapter considers nonstandard satisfaction classes. It presents some of the classical theorems related to them. In particular, it covers the results by S. Smith on definability in the language with a satisfaction class and on models without a satisfaction class. Overall, the books content lies on the border between combinatorics, proof theory, and model theory of arithmetic. It offers readers a distinctive approach towards independence results by model-theoretic methods.

Дополнительное описание: Chapter 1. Some combinatorics.- Chapter 2. Some model theory.- Chapter 3. Incompleteness.- Chapter 4. Trans?nite induction.- Chapter 5. Satisfaction classes.



Advances in Proof-Theoretic Semantics

Автор: Thomas Piecha; Peter Schroeder-Heister
Название: Advances in Proof-Theoretic Semantics
ISBN: 3319367811 ISBN-13(EAN): 9783319367811
Издательство: Springer
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Описание: Chapter 1. Introduction; Thomas Piecha & Peter-Schroeder-Heister.- Chapter 2. On Brouwer-Heyting-Kolmogorov provability semantics; Sergei N. Artлmov.- Chapter 3. Two Ways of General Proof Theory; Kosta Dosen.- Chapter 4. Generalised elimination rules; Roy Dyckhoff.- Chapter 5. On the proof theoretic foundations of set theory; Lars Hallnдs.- Chapter 6. The choice of semantics as a methodological question; Wilfrid Hodges.- Chapter 7. The mode of presentation; Reinhard Kahle.- Chapter 8. Remarks on relations between Gentzen and Heyting inspired PTS; Dag Prawitz.- Chapter 9. Unification of logics by reflection; Giovanni Sambin.- Chapter 10. BHK and Brouwer's Theory of the Creative Subject; Gцran Sundholm.- Chapter 11. Compositional semantics for predicate logic: Eliminating bound variables from formulas and deductions; William W. Tait.- Chapter 12. Intuitionism, the Paradox of Knowability and Empirical Negation; Gabriele Usberti.- Chapter 13. Explicit composition and its application in normalization proofs; Jan von Plato.- Chapter 14. A two-sorted typed lambda-calculus; Heinrich Wansing.- Chapter 15. Kreisel's second clause and the Theory of Constructions; Walter Dean & Hidenori Kurokawa.- Chapter 16. On Paradoxes in Proof-Theoretic Semantics; Yoshihiro Maruyama.

A Model-Theoretic Realist Interpretation of Science

Автор: E.B. Ruttkamp
Название: A Model-Theoretic Realist Interpretation of Science
ISBN: 9048160669 ISBN-13(EAN): 9789048160662
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This text can be read by specialists working in philosophy of science or formal semantics, by logicians working on the structure of theories, and by students in philosophy of science - this text offers a thorough introduction to non-statement accounts of sciences as well as a discussion of the traditional statement account of science.

Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes`

Автор: GARCIADIEGO
Название: Bertrand Russell and the Origins of the Set-theoretic ‘Paradoxes`
ISBN: 3034874049 ISBN-13(EAN): 9783034874045
Издательство: Springer
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Цена: 6986.00 р.
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Jaakko Hintikka on Knowledge and Game-Theoretical Semantics

Автор: Hans van Ditmarsch; Gabriel Sandu
Название: Jaakko Hintikka on Knowledge and Game-Theoretical Semantics
ISBN: 3319874144 ISBN-13(EAN): 9783319874142
Издательство: Springer
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Цена: 22359.00 р.
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Описание: This book focuses on the game-theoretical semantics and epistemic logic of Jaakko Hintikka. Hintikka was a prodigious and esteemed philosopher and logician, and his death in August 2015 was a huge loss to the philosophical community. This book, whose chapters have been in preparation for several years, is dedicated to the work of Jaako Hintikka, and to his memory.This edited volume consists of 23 contributions from leading logicians and philosophers, who discuss themes that span across the entire range of Hintikka’s career. Semantic Representationalism, Logical Dialogues, Knowledge and Epistemic logic are among some of the topics covered in this book's chapters.The book should appeal to students, scholars and teachers who wish to explore the philosophy of Jaako Hintikka.

Автор: Michael Frauchiger
Название: The Theoretical and the Moral Face of Realist Philosophy: Themes from Putnam
ISBN: 3110458446 ISBN-13(EAN): 9783110458442
Издательство: Walter de Gruyter
Цена: 24165.00 р.
Наличие на складе: Нет в наличии.

Описание:

This volume probes into themes and arguments developed over seven decades by Hilary Putnam's multidimensional way of analytic thinking. Putnam composed a number of substantive papers and an interview specifically for this book, which reveal directions, connections and ruptures within his extensive philosophical achievements. The contributors, among them longstanding interlocutors of Putnam, are critically directed to Putnamian topics across areas that range from epistemology, metaphysics and the philosophy of language, of logics, of physics, of mind, of perception to metaphilosophy, axiology, ethics, and political philosophy. This many-voiced book offers new insights into seminal Putnamian views and concerns, which get examined in relevant philosophical and transdisciplinary contexts and comprise issues ranging from the Twin Earth thought experiment, cognitive capacities transcending formalization, perception and thought, interpreting quantum mechanics to liberal naturalism, scientific and common-sense realism, conceptual pluralism, truth-aptness of ethical judgements, and much more. Contributors: H. Putnam, D. Wiggins, D. Follesdal, C. Travis, P. Jacob, M. De Caro, C. Wuthrich, A. Burri, W.K. Essler, M. Frauchiger.

Experimental and Theoretical Advances in Biological Pattern Formation

Автор: Hans G. Othmer; Philip K. Maini; James D. Murray
Название: Experimental and Theoretical Advances in Biological Pattern Formation
ISBN: 1461360331 ISBN-13(EAN): 9781461360339
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Proceedings of a NATO ARW held in Oxford, United Kingdom, August 27-31, 1992

Theoretical Philosophy after 1781

Автор: Kant
Название: Theoretical Philosophy after 1781
ISBN: 0521147646 ISBN-13(EAN): 9780521147644
Издательство: Cambridge Academ
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Цена: 6653.00 р.
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Описание: This volume, originally published in 2002, assembles the writings that Kant published to popularize, summarize, amplify and defend the doctrines of his masterpiece, the 1781 Critique of Pure Reason. The Prolegomena is often recommended to students, but the other texts are also important windows overlooking Kant`s intellectual development.

Reflections on Theoretical Issues in Argumentation Theory

Автор: Frans H. van Eemeren; Bart Garssen
Название: Reflections on Theoretical Issues in Argumentation Theory
ISBN: 3319370111 ISBN-13(EAN): 9783319370118
Издательство: Springer
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Цена: 19564.00 р.
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Описание: The section on general perspectives on argumentation discusses the trends of empiricalization, contextualization and formalization, offers descriptions of the analytical and evaluative tools of informal logic, and highlights selected principles that argumentation theorists do and do not agree upon.

Jaakko Hintikka on Knowledge and Game Theoretical Semantics

Автор: Hans van Ditmarsch; Gabriel Sandu
Название: Jaakko Hintikka on Knowledge and Game Theoretical Semantics
ISBN: 3319628631 ISBN-13(EAN): 9783319628639
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book focuses on the game-theoretical semantics and epistemic logic of Jaakko Hintikka. Hintikka was a prodigious and esteemed philosopher and logician, and his death in August 2015 was a huge loss to the philosophical community. This book, whose chapters have been in preparation for several years, is dedicated to the work of Jaako Hintikka, and to his memory.This edited volume consists of 23 contributions from leading logicians and philosophers, who discuss themes that span across the entire range of Hintikka’s career. Semantic Representationalism, Logical Dialogues, Knowledge and Epistemic logic are among some of the topics covered in this book's chapters.The book should appeal to students, scholars and teachers who wish to explore the philosophy of Jaako Hintikka.

Reflections on Theoretical Issues in Argumentation Theory

Автор: Frans H. van Eemeren; Bart Garssen
Название: Reflections on Theoretical Issues in Argumentation Theory
ISBN: 3319211021 ISBN-13(EAN): 9783319211022
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The section on general perspectives on argumentation discusses the trends of empiricalization, contextualization and formalization, offers descriptions of the analytical and evaluative tools of informal logic, and highlights selected principles that argumentation theorists do and do not agree upon.


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