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Bulletin Of The Section Of Logic


Bulletin Of The Section Of Logic
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Bulletin Of The Section Of Logic


Bulletin Of The Section Of Logic
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Author : Grzegorz Malinowski
language : en
Publisher:
Release Date : 1996

Bulletin Of The Section Of Logic written by Grzegorz Malinowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




Janusz Czelakowski On Logical Consequence


Janusz Czelakowski On Logical Consequence
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Author : Jacek Malinowski
language : en
Publisher: Springer Nature
Release Date : 2024-03-12

Janusz Czelakowski On Logical Consequence written by Jacek Malinowski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-12 with Philosophy categories.


This book is dedicated to the life and work of logician Janusz Czelakowski on the topic of logical consequence. It consists of three parts – a biography, a survey and research sections. The volume begins with an autobiographic chapter by Janusz Czelakowski followed by a historical chapter written by Jacek Malinowski. The survey section forms the backbone of the volume with each chapter covering one of Janusz Czelakowski’s results. They focus on his results in the area of logical consequence, demonstrate how his results influenced following research, and presents potential future results, problems and applications. This volume is of interest to logicians and mathematicians.



Dick De Jongh On Intuitionistic And Provability Logics


Dick De Jongh On Intuitionistic And Provability Logics
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Author : Nick Bezhanishvili
language : en
Publisher: Springer Nature
Release Date : 2024-07-25

Dick De Jongh On Intuitionistic And Provability Logics written by Nick Bezhanishvili and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-25 with Philosophy categories.


This book is dedicated to Dick de Jongh’s contributions to the theory of intuitionistic and provability logics. Consisting of 13 chapters, written by leading experts, this book discusses de Jongh’s original contributions and consequent developments that have helped to shape these fields. The book begins with an autobiographic note by Dick de Jongh, which discusses the main themes of his work and places the other contributions in context. The next four chapters explore the De Jongh-Sambin fixed point theorem and other contributions to provability and interpretability logics. The following four chapters focus on modal, intuitionistic and intuitionistic modal logics. They discuss independence of formulas, unification and de Jongh formulas in intuitionistic and modal logics. Then there follow two chapters on the other two areas to which Dick de Jongh made important contributions: the theory of well-partial orders, and formal learning theory. The second to last chapter on Origami Geometry can be seen as representing the Master of Logic program of the Institute for Logic, Language and Computation (ILLC) in which de Jongh invested a lot of energy. The book ends with a complete bibliography of Dick de Jongh in the last chapter. This volume provides a vital overview – and continuation of - de Jongh’s prolfic work in the theory of intuitionistic and provability logics.



Protoalgebraic Logics


Protoalgebraic Logics
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Author : Janusz Czelakowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Protoalgebraic Logics written by Janusz Czelakowski 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 2013-04-17 with Mathematics categories.


The main aim of this book is to present recent ideas in logic centered around the notion of a consequence operation. We wish to show these ideas in a factually and materially connected way, i.e., in the form of a consistent theory derived from several simple assumptions and definitions. These ideas have arisen in many research centers. The thorough study of their history can certainly be an exciting task for the historian of logic; in the book this aspect of the theory is being played down. The book belongs to abstract algebraic logic, the area of research that explores to a large extent interconnections between algebra and logic. The results presented here concern logics defined in zero-order languages (Le., quantifier-free sentential languages without predicate symbols). The reach of the theory expounded in the book is, in fact, much wider. The theory is also valid for logics defined in languages of higer orders. The problem of transferring the theory to the level of first-order languages has been satisfactorily solved and new ideas within this area have been put forward in the work of Blok and Pigozzi [1989].



Proceedings Of The Logic Colloquium Held In Aachen July 18 23 1983


Proceedings Of The Logic Colloquium Held In Aachen July 18 23 1983
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Author : G. H. Müller
language : en
Publisher: Springer
Release Date : 2006-12-08

Proceedings Of The Logic Colloquium Held In Aachen July 18 23 1983 written by G. H. Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.




Contradictions From Consistency To Inconsistency


Contradictions From Consistency To Inconsistency
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Author : Walter Carnielli
language : en
Publisher: Springer
Release Date : 2018-10-13

Contradictions From Consistency To Inconsistency written by Walter Carnielli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-13 with Philosophy categories.


This volume investigates what is beyond the Principle of Non-Contradiction. It features 14 papers on the foundations of reasoning, including logical systems and philosophical considerations. Coverage brings together a cluster of issues centered upon the variety of meanings of consistency, contradiction, and related notions. Most of the papers, but not all, are developed around the subtle distinctions between consistency and non-contradiction, as well as among contradiction, inconsistency, and triviality, and concern one of the above mentioned threads of the broadly understood non-contradiction principle and the related principle of explosion. Some others take a perspective that is not too far away from such themes, but with the freedom to tread new paths. Readers should understand the title of this book in a broad way,because it is not so obvious to deal with notions like contradictions, consistency, inconsistency, and triviality. The papers collected here present groundbreaking ideas related to consistency and inconsistency.



Metainferential Logics


Metainferential Logics
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Author : Federico Pailos
language : en
Publisher: Springer Nature
Release Date : 2023-11-17

Metainferential Logics written by Federico Pailos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-17 with Philosophy categories.


This book is the first to present a comprehensive investigation of the technical features of the metainferential logics developed in the last years, with their most relevant results and applications. It provides some new paths to define and investigate metainferential logics and offers a thorough study of the semantics and the proof-theories of this new and exciting variety of families of logics. This volume examines the hierarchies of metainferential logics and gives a general and systematic theory of them, and of the truth theories based on these logics. This book puts forward the prospects for truth-theories based on the metainferential logics of the TS/ST hierarchy and argues for its promise noting that each of these logics can be safely expanded with a transparent truth predicate. It also goes onto to explore new developments in three fields related to logics – namely metainferential logics built by means of the Weak Kleene schema and combining them with logics defined through the Strong Kleene schema, proof-theoretic presentations, and those with a with a global or an absolutely global validity standard, instead of a local one. This book is of interest to scholars in formal logic.



Logic In High Definition


Logic In High Definition
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Author : Alessandro Giordani
language : en
Publisher: Springer Nature
Release Date : 2020-11-19

Logic In High Definition written by Alessandro Giordani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-19 with Philosophy categories.


This volume clusters together issues centered upon the variety of types of intensional semantics. Consisting of 10 contributions, the volume is based on papers presented at the Trends in Logic 2019 conference. The various chapters introduce readers to the topic, or apply new types of logical semantics to elucidate subtleties of logical systems and natural language semantics. The book introduces hyperintentional systems that aim at solving some open philosophical problems. Specifically, the first three studies focus on relating semantics, while the following ones discuss fundamental issues related to hyper-intensional semantics or develop hyper-intensional frameworks to address issues in modal, epistemic, deontic and action logic. Authors in this volume present original results on logical systems but also extend beyond this by offering philosophical considerations on the topic as well. This volume will appeal to students and researchers in the field of logic.



Sequents And Trees


Sequents And Trees
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Author : Andrzej Indrzejczak
language : en
Publisher: Springer Nature
Release Date : 2020-12-16

Sequents And Trees written by Andrzej Indrzejczak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-16 with Mathematics categories.


This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculi to prove a wide range of metatheoretical results. The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained. Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation. Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus. After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications. The remaining chapters then show how sequent calculi can be extended, modified, and applied to non-classical logics, including modal, intuitionistic, substructural, and many-valued logics. Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics. It will also be of interest to researchers in computer science and philosophers.



Modern Uses Of Multiple Valued Logic


Modern Uses Of Multiple Valued Logic
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Author : M. Dunn
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Modern Uses Of Multiple Valued Logic written by M. Dunn 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 2012-12-06 with Philosophy categories.


This is a collection of invited papers from the 1975 International Sym posium on Multiple-valued Logic. Also included is an extensive bib liography of works in the field of multiple-valued logic prior to 1975 - this supplements and extends an earlier bibliography of works prior to 1965, by Nicholas Rescher in his book Many-Valued Logic, McGraw-Hill, 1969. There are a number of possible reasons for interest in the present volume. First, the range of various uses covered in this collection of papers may be taken as indicative of a breadth which occurs in the field of multiple-valued logic as a whole - the papers here can do no more than cover a small sample: question-answering systems, analysis of computer hazards, algebraic structures relating to multiple-valued logic, algebra of computer programs, fuzzy sets. Second, a large part of the interest in such uses and applications has occurred in the last twenty, even ten years. It would be too much to expect this to be reflected in Rescher's 1969 book. Third, in the 1970's a series of annual symposia have been held on multiple-valued logic, which have brought much of this into a sharp focus. * The 1971 and 1972 symposia were held at the SUNY at Buffalo, the 1973 symposium at the Uni versity of Toronto, and the 1974 symposium at West Virginia Uni versity. Papers from these symposia are included in the bibliography which may be found in an appendix of this book.