Games Unifying Logic Language And Philosophy
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Games Unifying Logic Language And Philosophy
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Author : Ondrej Majer
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-16
Games Unifying Logic Language And Philosophy written by Ondrej Majer 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 2009-01-16 with Philosophy categories.
OndrejMajer,Ahti-VeikkoPietarinen,andTeroTulenheimo 1 Games and logic in philosophy Recent years have witnessed a growing interest in the unifying methodo- gies over what have been perceived as pretty disparate logical ‘systems’, or else merely an assortment of formal and mathematical ‘approaches’ to phi- sophical inquiry. This development has largely been fueled by an increasing dissatisfaction to what has earlier been taken to be a straightforward outcome of ‘logical pluralism’ or ‘methodological diversity’. These phrases appear to re ect the everyday chaos of our academic pursuits rather than any genuine attempt to clarify the general principles underlying the miscellaneous ways in which logic appears to us. But the situation is changing. Unity among plurality is emerging in c- temporary studies in logical philosophy and neighbouring disciplines. This is a necessary follow-up to the intensive research into the intricacies of logical systems and methodologies performed over the recent years. The present book suggests one such peculiar but very unrestrained meth- ological perspective over the eld of logic and its applications in mathematics, language or computation: games. An allegory for opposition, cooperation and coordination, games are also concrete objects of formal study.
Encyclopedia Of Philosophy And The Social Sciences
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Author : Byron Kaldis
language : en
Publisher: SAGE
Release Date : 2013-04-02
Encyclopedia Of Philosophy And The Social Sciences written by Byron Kaldis and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-02 with Philosophy categories.
The entries in this encyclopedia give readers an opportunity to explore interconnections, clarify commonalities as well as differences or comparative contrasts, discover new fields or ideas of intellectual interest, explore adjacent conceptual zones that may be found to further expand their own disciplinary domains, and also understand better their own academic areas of expertise and the historical provenance of each. -- p. xxxi.
Linking Game Theoretical Approaches With Constructive Type Theory
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Author : Nicolas Clerbout
language : en
Publisher: Springer
Release Date : 2015-07-08
Linking Game Theoretical Approaches With Constructive Type Theory written by Nicolas Clerbout and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-08 with Philosophy categories.
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.
Meaning In Dialogue
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Author : James Trafford
language : en
Publisher: Springer
Release Date : 2016-10-24
Meaning In Dialogue written by James Trafford and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-24 with Philosophy categories.
This book argues for a view in which processes of dialogue and interaction are taken to be foundational to reasoning, logic, and meaning. This is both a continuation, and a substantial modification, of an inferentialist approach to logic. As such, the book not only provides a critical introduction to the inferentialist view, but it also provides an argument that this shift in perspective has deep and foundational consequences for how we understand the nature of logic and its relationship with meaning and reasoning. This has been upheld by several technical results, including, for example a novel approach to logical paradox and logical revision, and an account of the internal justification of logical rules. The book shows that inferentialism is greatly strengthened, such that it can answer the most stringent criticisms of the view. This leads to a view of logic that emphasizes the dynamics of reasoning, provides a novel account of the justification and normativity of logical rules, thus leading to a new, attractive approach to the foundations of logic. The book addresses readers interested in philosophy of language, philosophical and mathematical logic, theories of reasoning, and also those who actively engage in current debates involving, for example, logical revision, and the relationship between logic and reasoning, from advanced undergraduates, to professional philosophers, mathematicians, and linguists.
Petr H Jek On Mathematical Fuzzy Logic
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Author : Franco Montagna
language : en
Publisher: Springer
Release Date : 2014-09-23
Petr H Jek On Mathematical Fuzzy Logic written by Franco Montagna and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-23 with Mathematics categories.
This volume celebrates the work of Petr Hájek on mathematical fuzzy logic and presents how his efforts have influenced prominent logicians who are continuing his work. The book opens with a discussion on Hájek's contribution to mathematical fuzzy logic and with a scientific biography of him, progresses to include two articles with a foundation flavour, that demonstrate some important aspects of Hájek's production, namely, a paper on the development of fuzzy sets and another paper on some fuzzy versions of set theory and arithmetic. Articles in the volume also focus on the treatment of vagueness, building connections between Hájek's favorite fuzzy logic and linguistic models of vagueness. Other articles introduce alternative notions of consequence relation, namely, the preservation of truth degrees, which is discussed in a general context, and the differential semantics. For the latter, a surprisingly strong standard completeness theorem is proved. Another contribution also looks at two principles valid in classical logic and characterize the three main t-norm logics in terms of these principles. Other articles, with an algebraic flavour, offer a summary of the applications of lattice ordered-groups to many-valued logic and to quantum logic, as well as an investigation of prelinearity in varieties of pointed lattice ordered algebras that satisfy a weak form of distributivity and have a very weak implication. The last part of the volume contains an article on possibilistic modal logics defined over MTL chains, a topic that Hájek discussed in his celebrated work, Metamathematics of Fuzzy Logic, and another one where the authors, besides offering unexpected premises such as proposing to call Hájek's basic fuzzy logic HL, instead of BL, propose a very weak system, called SL as a candidate for the role of the really basic fuzzy logic. The paper also provides a generalization of the prelinearity axiom, which was investigated by Hájek in the context of fuzzy logic.
Meaningful Games
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Author : Robin Clark
language : en
Publisher: MIT Press
Release Date : 2023-09-19
Meaningful Games written by Robin Clark and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-19 with Language Arts & Disciplines categories.
An engaging introduction to the use of game theory to study lingistic meaning. In Meaningful Games, Robin Clark explains in an accessible manner the usefulness of game theory in thinking about a wide range of issues in linguistics. Clark argues that we use grammar strategically to signal our intended meanings: our choices as speaker are conditioned by what choices the hearer will make interpreting what we say. Game theory—according to which the outcome of a decision depends on the choices of others—provides a formal system that allows us to develop theories about the kind of decision making that is crucial to understanding linguistic behavior. Clark argues the only way to understand meaning is to grapple with its social nature—that it is the social that gives content to our mental lives. Game theory gives us a framework for working out these ideas. The resulting theory of use will allow us to account for many aspects of linguistic meaning, and the grammar itself can be simplified. The results are nevertheless precise and subject to empirical testing. Meaningful Games offers an engaging and accessible introduction to game theory and the study of linguistic meaning. No knowledge of mathematics beyond simple algebra is required; formal definitions appear in special boxes outside the main text. The book includes an extended argument in favor of the social basis of meaning; a brief introduction to game theory, with a focus on coordination games and cooperation; discussions of common knowledge and games of partial information; models of games for pronouns and politeness; and the development of a system of social coordination of reference.
Past And Present Interactions In Legal Reasoning And Logic
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Author : Matthias Armgardt
language : en
Publisher: Springer
Release Date : 2015-05-18
Past And Present Interactions In Legal Reasoning And Logic written by Matthias Armgardt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-18 with Philosophy categories.
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.
The Dialogical Roots Of Deduction
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Author : Catarina Dutilh Novaes
language : en
Publisher: Cambridge University Press
Release Date : 2020-12-17
The Dialogical Roots Of Deduction written by Catarina Dutilh Novaes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Computers categories.
The first comprehensive account of the concept and practices of deduction covering philosophy, history, cognition and mathematical practice.
Explaining Games
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Author : Boudewijn de Bruin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-18
Explaining Games written by Boudewijn de Bruin 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 2010-08-18 with Science categories.
Does game theory - the mathematical theory of strategic interaction - provide genuine explanations of human behaviour? Can game theory be used in economic consultancy or other normative contexts? Explaining Games: The Epistemic Programme in Game Theory - the first monograph on the philosophy of game theory - is a bold attempt to combine insights from epistemic logic and the philosophy of science to investigate the applicability of game theory in such fields as economics, philosophy and strategic consultancy. De Bruin proves new mathematical theorems about the beliefs, desires and rationality principles of individual human beings, and he explores in detail the logical form of game theory as it is used in explanatory and normative contexts. He argues that game theory reduces to rational choice theory if used as an explanatory device, and that game theory is nonsensical if used as a normative device. A provocative account of the history of game theory reveals that this is not bad news for all of game theory, though. Two central research programmes in game theory tried to find the ultimate characterisation of strategic interaction between rational agents. Yet, while the Nash Equilibrium Refinement Programme has done badly thanks to such research habits as overmathematisation, model-tinkering and introversion, the Epistemic Programme, De Bruin argues, has been rather successful in achieving this aim.
Perspectives On Theory Of Controversies And The Ethics Of Communication
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Author : Dana Riesenfeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-23
Perspectives On Theory Of Controversies And The Ethics Of Communication written by Dana Riesenfeld 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 2013-11-23 with Philosophy categories.
Assembling an unprecedented range of considered responses to the noted contributions to philosophy made by Marcelo Dascal, this collection comprises the work of his many friends, colleagues and former students. Beginning with a series of articles on Dascal’s influential insights on philosophical controversy, this volume continues with explorations of Dascal’s celebrated scholarship on Liebnitz, before moving on to papers dealing with his philosophy of language, including interpretations by Dresner and Herring on the phenomenon of emoticons. Taken as a whole, they provide a compelling commentary on Dascal’s prolific and voluminous publications and include fresh perspectives on the theory of argumentation and the ethics of communication. The material collected here extends to political philosophy, such as Morris-Reich's paper exploring the ways in which German social scientists confront issues of antisemitism, the psychology of genius, and the origins of norms in society and culture. Much of the analysis is directly connected to, or influenced by, the philosophical themes, ideas and concepts developed throughout the years by Marcelo Dascal, while others have a looser connection to his work. All of them, however, attest to the remarkable and multifaceted philosophical persona of Marcelo Dascal, who is the guiding light of the rich conceptual dialogue running through this book.