Linking Game Theoretical Approaches With Constructive Type Theory

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Linking Game-Theoretical Approaches with Constructive Type Theory

Author : Nicolas Clerbout
Publisher : Springer
ISBN 13 : 3319190636
Total Pages : 118 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Linking Game-Theoretical Approaches with Constructive Type Theory by : Nicolas Clerbout

Download or read book Linking Game-Theoretical Approaches with Constructive Type Theory written by Nicolas Clerbout and published by Springer. This book was released on 2015-07-08 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title links two of the most dominant research streams in philosophy of logic, namely game theory and proof theory. As the work’s subtitle expresses, the authors will build this link by means of the dialogical approach to logic. One important aspect of the present study is that the authors restrict themselves to the logically valid fragment of Constructive Type Theory (CTT). The reason is that, once that fragment is achieved the result can be extended to cover the whole CTT system. The first chapters in the brief offer overviews on the two frameworks discussed in the book with an emphasis on the dialogical framework. The third chapter demonstrates the left-to-right direction of the equivalence result. This is followed by a chapter that demonstrates the use of the algorithm in showing how to transform a specific winning strategy into a CCT-demonstration of the axiom of choice. The fifth chapter develops the algorithm from CTT-demonstrations to dialogical strategies. This brief concludes by introducing elements of discussion which are to be developed in subsequent work.

Immanent Reasoning or Equality in Action

Author : Shahid Rahman
Publisher : Springer
ISBN 13 : 331991149X
Total Pages : 341 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Immanent Reasoning or Equality in Action by : Shahid Rahman

Download or read book Immanent Reasoning or Equality in Action written by Shahid Rahman and published by Springer. This book was released on 2018-08-16 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph proposes a new way of implementing interaction in logic. It also provides an elementary introduction to Constructive Type Theory (CTT). The authors equally emphasize basic ideas and finer technical details. In addition, many worked out exercises and examples will help readers to better understand the concepts under discussion. One of the chief ideas animating this study is that the dialogical understanding of definitional equality and its execution provide both a simple and a direct way of implementing the CTT approach within a game-theoretical conception of meaning. In addition, the importance of the play level over the strategy level is stressed, binding together the matter of execution with that of equality and the finitary perspective on games constituting meaning. According to this perspective the emergence of concepts are not only games of giving and asking for reasons (games involving Why-questions), they are also games that include moves establishing how it is that the reasons brought forward accomplish their explicative task. Thus, immanent reasoning games are dialogical games of Why and How.

Constructive Semantics

Author : Christina Weiss
Publisher : Springer Nature
ISBN 13 : 3030213137
Total Pages : 193 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Constructive Semantics by : Christina Weiss

Download or read book Constructive Semantics written by Christina Weiss and published by Springer Nature. This book was released on 2019-10-15 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book brings together research work in the field of constructive semantics with scholarship on the phenomenological foundations of logic and mathematics. It addresses one of the central issues in the epistemology and philosophy of mathematics, namely the relationship between phenomenological meaning constitution and constructive semantics. Contributing authors explore deep structural connections and fundamental differences between phenomenology and constructivism. Papers are drawn from contributions to a prestigious workshop held at the University of Friedrichshafen. Readers will discover insight into structural connections between the phenomenological concept of meaning constitution and constructivist concepts of meaning. Discussion ranges from more specific conceptualizations in the philosophy of logic and mathematics to more general considerations in epistemology, inferential semantics and phenomenology. Questions such as a possible phenomenological understanding of the relationship between structural rules and particle rules in dialogical logic are explored. Significant aspects of both phenomenology and dialectics, and dialectics and constructivism emerge. Graduates and researchers of philosophy, especially logic, as well as scholars of mathematics will all find something of interest in the expert insights presented in this volume.

Arsyad al-Banjari’s Insights on Parallel Reasoning and Dialectic in Law

Author : Muhammad Iqbal
Publisher : Springer Nature
ISBN 13 : 3030916766
Total Pages : 274 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Arsyad al-Banjari’s Insights on Parallel Reasoning and Dialectic in Law by : Muhammad Iqbal

Download or read book Arsyad al-Banjari’s Insights on Parallel Reasoning and Dialectic in Law written by Muhammad Iqbal and published by Springer Nature. This book was released on 2022-06-16 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an epistemological study of the great Islamic scholar of Banjarese origin, Syeikh Muhammad Arsyad al-Banjari (1710-1812) who contributed to the development of Islam in Indonesia and, in general, Southeast Asia. The work focuses on Arsyad al-Banjari’s dialectical use and understanding of qiyās or correlational inference as a model of parallel reasoning or analogy in Islamic jurisprudence. This constituted the most prominent instrument he applied in his effort of integrating Islamic law into the Banjarese society.This work studies how Arsyad al-Banjari integrates jadal theory or dialectic in Islamic jurisprudence, within his application of qiyās. The author develops a framework for qiyās which acts as the interface between jadal, dialogical logic, and Per Martin-Löf’s Constructive Type Theory (CTT). One of the epistemological results emerging from the present study is that the different forms of qiyās applied by Arsyad al-Banjari represent an innovative and sophisticated form of reasoning. The volume is divided into three parts that discuss the types of qiyās as well their dialectical and argumentative aspects, historical background and context of Banjar, and demonstrates how the theory of qiyās comes quite close to the contemporary model of parallel reasoning for sciences and mathematics developed by Paul Bartha (2010). This volume will be of interest to historians and philosophers in general, and logicians and historians of philosophy in particular.

Epistemology, Knowledge and the Impact of Interaction

Author : Juan Redmond
Publisher : Springer
ISBN 13 : 3319265067
Total Pages : 556 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Epistemology, Knowledge and the Impact of Interaction by : Juan Redmond

Download or read book Epistemology, Knowledge and the Impact of Interaction written by Juan Redmond and published by Springer. This book was released on 2016-04-28 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this volume of the series Logic, Epistemology, and the Unity of Science edited by S. Rahman et al. a challenging dialogue is being continued. The series’ first volume argued that one way to recover the connections between logic, philosophy of sciences, and sciences is to acknowledge the host of alternative logics which are currently being developed. The present volume focuses on four key themes. First of all, several chapters unpack the connection between knowledge and epistemology with particular focus on the notion of knowledge as resulting from interaction. Secondly, new epistemological perspectives on linguistics, the foundations of mathematics and logic, physics, biology and law are a subject of analysis. Thirdly, several chapters are dedicated to a discussion of Constructive Type Theory and more generally of the proof-theoretical notion of meaning.Finally, the book brings together studies on the epistemic role of abduction and argumentation theory, both linked to non-monotonic approaches to the dynamics of knowledge.

Paul Lorenzen -- Mathematician and Logician

Author : Gerhard Heinzmann
Publisher : Springer Nature
ISBN 13 : 3030658244
Total Pages : 268 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Paul Lorenzen -- Mathematician and Logician by : Gerhard Heinzmann

Download or read book Paul Lorenzen -- Mathematician and Logician written by Gerhard Heinzmann and published by Springer Nature. This book was released on 2021-08-17 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book examines the many contributions of Paul Lorenzen, an outstanding philosopher from the latter half of the 20th century. It features papers focused on integrating Lorenzen's original approach into the history of logic and mathematics. The papers also explore how practitioners can implement Lorenzen’s systematical ideas in today’s debates on proof-theoretic semantics, databank management, and stochastics. Coverage details key contributions of Lorenzen to constructive mathematics, Lorenzen’s work on lattice-groups and divisibility theory, and modern set theory and Lorenzen’s critique of actual infinity. The contributors also look at the main problem of Grundlagenforschung and Lorenzen’s consistency proof and Hilbert’s larger program. In addition, the papers offer a constructive examination of a Russell-style Ramified Type Theory and a way out of the circularity puzzle within the operative justification of logic and mathematics. Paul Lorenzen's name is associated with the Erlangen School of Methodical Constructivism, of which the approach in linguistic philosophy and philosophy of science determined philosophical discussions especially in Germany in the 1960s and 1970s. This volume features 10 papers from a meeting that took place at the University of Konstanz.

Past and Present Interactions in Legal Reasoning and Logic

Author : Matthias Armgardt
Publisher : Springer
ISBN 13 : 3319160214
Total Pages : 275 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Past and Present Interactions in Legal Reasoning and Logic by : Matthias Armgardt

Download or read book Past and Present Interactions in Legal Reasoning and Logic written by Matthias Armgardt and published by Springer. This book was released on 2015-05-18 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the relation between legal reasoning and logic from both a historical and a systematic perspective. The topics addressed include, among others, conditional legal acts, disjunctions in legal acts, presumptions and conjectures, conflicts of values, Jørgensen ́s Dilemma, the Rhetor ́s Dilemma, the theory of legal fictions and the categorization of contracts. The unifying problematic of these contributions concerns the conditional structures and, more particularly, the relationship between legal theory and legal reasoning in the context of conditions. The contributions in this work constitute the first results of the ANR-DFG joint research project “JuriLog” (Jurisprudence and Logic), which aims at fostering the cooperation between legal scholars and philosophers. On the one hand, lawyers and legal scholars have an interest in emphasizing the logical character of legal reasoning. In this respect, the present enquiry examines the question of how logic, especially newer forms of dialogical logic, can be made fruitful as a significant area of philosophy for jurisprudence and legal practice. On the other hand, logicians find in legal reasoning a striving towards clear definitions and inference-procedures that is relevant to their discipline. In order to fully understand such reciprocal relationships, it is necessary to bridge the gap between law, logic and philosophy in contemporary academic research. The essays collected in this volume all work towards this common goal. The book is divided in three sections. In the first part, the strong relation between Roman Law and logic is explored with respect to the analysis of disjunctive statements in legal acts. The second part focuses on Leibniz ́s legal theory. The third part, finally, is dedicated to current interactions between law and logic.

Inferences by Parallel Reasoning in Islamic Jurisprudence

Author : Shahid Rahman
Publisher : Springer Nature
ISBN 13 : 3030223825
Total Pages : 285 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Inferences by Parallel Reasoning in Islamic Jurisprudence by : Shahid Rahman

Download or read book Inferences by Parallel Reasoning in Islamic Jurisprudence written by Shahid Rahman and published by Springer Nature. This book was released on 2020-01-13 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph proposes a new (dialogical) way of studying the different forms of correlational inference, known in the Islamic jurisprudence as qiyās. According to the authors’ view, qiyās represents an innovative and sophisticated form of dialectical reasoning that not only provides new epistemological insights into legal argumentation in general (including legal reasoning in Common and Civil Law) but also furnishes a fine-grained pattern for parallel reasoning which can be deployed in a wide range of problem-solving contexts and does not seem to reduce to the standard forms of analogical reasoning studied in contemporary philosophy of science and argumentation theory. After an overview of the emergence of qiyās and of the work of al-Shīrāzī penned by Soufi Youcef, the authors discuss al-Shīrāzī’s classification of correlational inferences of the occasioning factor (qiyās al-'illa). The second part of the volume deliberates on the system of correlational inferences by indication and resemblance (qiyās al-dalāla, qiyās al-shabah). The third part develops the main theoretical background of the authors’ work, namely, the dialogical approach to Martin-Löf's Constructive Type Theory. The authors present this in a general form and independently of adaptations deployed in parts I and II. Part III also includes an appendix on the relevant notions of Constructive Type Theory, which has been extracted from an overview written by Ansten Klev. The book concludes with some brief remarks on contemporary approaches to analogy in Common and Civil Law and also to parallel reasoning in general.

The Philosophers and Mathematics

Author : Hassan Tahiri
Publisher : Springer
ISBN 13 : 3319937332
Total Pages : 357 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Philosophers and Mathematics by : Hassan Tahiri

Download or read book The Philosophers and Mathematics written by Hassan Tahiri and published by Springer. This book was released on 2018-08-14 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.

Logical Aspects of Computational Linguistics

Author : Christian Retore
Publisher : Springer Science & Business Media
ISBN 13 : 9783540637004
Total Pages : 452 pages
Book Rating : 4.6/5 (37 download)

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Book Synopsis Logical Aspects of Computational Linguistics by : Christian Retore

Download or read book Logical Aspects of Computational Linguistics written by Christian Retore and published by Springer Science & Business Media. This book was released on 1997-10-15 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the strictly refereed post-conference proceedings of the First International Conference on Logical Aspects of Computational Linguistics, LACL '96, held in Nancy, France in April 1996. The volume presents 18 revised full papers carefully selected and reviewed for inclusion in the book together with four invited contributions by leading authorities and an introductory survey with a detailed bibliography. The papers cover all relevant logical aspects of computational linguistics like logical inference, grammars, logical semantics, natural language processing, formal proofs, logic programming, type theory, etc.

Game Theory and Related Approaches to Social Behavior

Author : Martin Shubik
Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Game Theory and Related Approaches to Social Behavior by : Martin Shubik

Download or read book Game Theory and Related Approaches to Social Behavior written by Martin Shubik and published by . This book was released on 1975 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hintikka's Defence of Realism and the Constructivist Challenge

Author : Radmila Jovanovic
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (924 download)

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Book Synopsis Hintikka's Defence of Realism and the Constructivist Challenge by : Radmila Jovanovic

Download or read book Hintikka's Defence of Realism and the Constructivist Challenge written by Radmila Jovanovic and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis studies game-theoretically oriented semantics which provide an alternative to traditional Tarski-style semantics, implementing Wittgenstein's idea of the meaning as use. Two different game theoretical traditions are presented: Game Theoretical Semantics (GTS), developed by Jaako Hintikka and Gabriel Sandu, and Dialogical logic, first introduced by Paul Lorenzen and Kuno Lorenz and further developed by Shahid Rahman and his associates. In 1989 Hintikka and Sandu came up with games with imperfect information. Those games yielded Independence friendly first-order logic (IF logic), exceeding the expressive power of classical first-order logic. It is expressive enough to enable formulating linearly, and at the first-order level, sentences containing branching quantification. Because of this characteristic, Hintikka claims that IF logic is most suitable for at least two main purposes: to be the logic of the first-order fragment of natural language; and to be the medium for the foundation of mathematics. This thesis aims to explore the above uses of IF logic. The properties of IF logic are discussed, as well as the advantages of this approach such as the possibility of taking account of (in)dependency relations among variables; GTS-account of two different notions of scope of quantifiers; the “outside-in” direction in approaching the meaning, which turns out to be advantageous over the traditional “inside-out” approach; the usefulness of game-theoretic reasoning in mathematics; the expressiveness of IF language, which allows formulating branching quantifiers on the first-order level, as well as defining the truth predicate in the language itself. We defend Hintikka's stance on the first-order character of IF logic against some criticisms of this point. The weak points are also discussed: first and foremost, the lack of a full axiomatization for IF logic and second, the problem of signalling, a problematic phenomenon related to the possibility of imperfect information in a game. We turn to another game-theoretically oriented semantics, that of Dialogical Logic linked with Constructive Type Theory, in which dependency relations can be accounted for, but without using more means than constructive logic and the dialogical approach to meaning have to offer. This framework is used first to analyse and confront Hintikka's take on the axiom of choice, and second to analyse the GTS account of anaphora.

Jaakko Hintikka on Knowledge and Game-Theoretical Semantics

Author : Hans van Ditmarsch
Publisher : Springer
ISBN 13 : 331962864X
Total Pages : 634 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Jaakko Hintikka on Knowledge and Game-Theoretical Semantics by : Hans van Ditmarsch

Download or read book Jaakko Hintikka on Knowledge and Game-Theoretical Semantics written by Hans van Ditmarsch and published by Springer. This book was released on 2018-01-31 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Attracted to Conflict: Dynamic Foundations of Destructive Social Relations

Author : Robin R. Vallacher
Publisher : Springer Science & Business Media
ISBN 13 : 3642352804
Total Pages : 250 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Attracted to Conflict: Dynamic Foundations of Destructive Social Relations by : Robin R. Vallacher

Download or read book Attracted to Conflict: Dynamic Foundations of Destructive Social Relations written by Robin R. Vallacher and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conflict is inherent in virtually every aspect of human relations, from sport to parliamentary democracy, from fashion in the arts to paradigmatic challenges in the sciences, and from economic activity to intimate relationships. Yet, it can become among the most serious social problems humans face when it loses its constructive features and becomes protracted over time with no obvious means of resolution. This book addresses the subject of intractable social conflict from a new vantage point. Here, these types of conflict represent self-organizing phenomena, emerging quite naturally from the ongoing dynamics in human interaction at any scale—from the interpersonal to the international. Using the universal language and computational framework of nonlinear dynamical systems theory in combination with recent insights from social psychology, intractable conflict is understood as a system locked in special attractor states that constrain the thoughts and actions of the parties to the conflict. The emergence and maintenance of attractors for conflict can be described by means of formal models that incorporate the results of computer simulations, experiments, field research, and archival analyses. Multi-disciplinary research reflecting these approaches provides encouraging support for the dynamical systems perspective. Importantly, this text presents new views on conflict resolution. In contrast to traditional approaches that tend to focus on basic, short-lived cause-effect relations, the dynamical perspective emphasizes the temporal patterns and potential for emergence in destructive relations. Attractor deconstruction entails restoring complexity to a conflict scenario by isolating elements or changing the feedback loops among them. The creation of a latent attractor trades on the tendency toward multi-stability in dynamical systems and entails the consolidation of incongruent (positive) elements into a coherent structure. In the bifurcation scenario, factors are identified that can change the number and types of attractors in a conflict scenario. The implementation of these strategies may hold the key to unlocking intractable conflict, creating the potential for constructive social relations.

New Frontiers in Artificial Intelligence

Author : Setsuya Kurahashi
Publisher : Springer
ISBN 13 : 3319615726
Total Pages : 345 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis New Frontiers in Artificial Intelligence by : Setsuya Kurahashi

Download or read book New Frontiers in Artificial Intelligence written by Setsuya Kurahashi and published by Springer. This book was released on 2017-07-05 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the JSAI-isAI 2016 Workshops, LENLS 13, HAT-MASH, AI-Biz, JURISIN and SKL, held in Kanagawa, Japan, in November 1016. The 22 regular papers presented in this volume were carefully reviewed and selected from 64 submissions. LENLS 13 was the 13th event in the series, and it focused on the formal and theoretical aspects of natural language. LENLS (Logic and Engineering of Natural Language Semantics) is an annual international workshop recognized internationally in the formal syntax-semantics-pragmatics community. It has been bringing together for discussion and interdisciplinary communication researchers working on formal theories of natural language syntax, semantics and pragmatics, (formal) philosophy, artificial intelligence and computational linguistics. HAT-MASH 2016 (Healthy Aging Tech mashup service, data and people) was the second international workshop bridges healthy aging and elderly care technology, information technology and service engineering. The main objective of this workshop was to provide a forum to discuss important research questions and practical challenges in healthy aging and elderly care support to promote transdisciplinary approaches. AI-Biz 2016 (Artificial Intelligence of and for Business) was the first workshop held to foster the concepts and techniques of Business Intelligence (BI) in Artificial Intelligence. BI should include such cutting-edge techniques as data science, agent-based modelling, complex adaptive systems, and IoT. The main purpose of this workshop is to provide a forum to discuss important research questions and practical challenges in Business Intelligence, Business Informatics, Data Analysis and Agent-based Modelling to exchange latest results, to join efforts in solving the common challenges. JURISIN 2016 was the tenth international workshop on Juris-informatics. Juris-informatics is a new research area which studies legal issues from the perspective of informatics. The purpose of this workshop was to discuss both the fundamental and practical issues among people from the various backgrounds such as law, social science, information and intelligent technology, logic and philosophy, including the conventional “AI and law” area. SKL 2016 (The Third International Workshop on Skill Science) was aimed to internationalize the research on skill sciences through organizing the meeting. Human skills involve well-attuned perception and fine motor control, often accompanied by thoughtful planning. The involvement of body, environment, and tools mediating them makes the study of skills unique among researches of human intelligence.

Game Theory and Related Approaches to Social Behavior

Author : Martin Shubik
Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Game Theory and Related Approaches to Social Behavior by : Martin Shubik

Download or read book Game Theory and Related Approaches to Social Behavior written by Martin Shubik and published by . This book was released on with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Logic and Language

Author : Johan F.A.K. van Benthem
Publisher : Elsevier
ISBN 13 : 0444537279
Total Pages : 1169 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Handbook of Logic and Language by : Johan F.A.K. van Benthem

Download or read book Handbook of Logic and Language written by Johan F.A.K. van Benthem and published by Elsevier. This book was released on 2010-12-17 with total page 1169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. - Completely revised and updated - includes over 25% new material - Discusses the interface between logic and language - Many of the authors are creators or active developers of the theories