Download or read book Consequence Relations written by Alex Citkin and published by Oxford University Press. This book was released on 2022-06-30 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of Rasiowa and Sikorski's The Mathematics of Metamathematics (1970), Rasiowa's An Algebraic Approach to Non-Classical Logics (1974), and Wójcicki's Theory of Logical Calculi (1988) created a niche in the field of mathematical and philosophical logic. This in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, fills this niche. Citkin and Muravitsky consider the problem of obtaining confirmation that a statement is a consequence of a set of statements as prerequisites, on the one hand, and the problem of demonstrating that such confirmation does not exist in the structure under consideration, on the other hand. For the second part of this problem, the concept of the Lindenbaum-Tarski algebra plays a key role, which becomes even more important when the considered consequence relation is placed in the context of decidability. This role is traced in the book for various formal objective languages. The work also includes helpful exercises to aid the reader's assimilation of the book's material. Intended for advanced undergraduate and graduate students in mathematics and philosophy, this book can be used to teach special courses in logic with an emphasis on algebraic methods, for self-study, and also as a reference work.
Download or read book Consequence Relations written by Alex Citkin and published by Oxford University Press. This book was released on 2022 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, intended for advanced undergraduate and graduate students in mathematics and philosophy, as well as researchers in the field of mathematical and philosophical logic.
Download or read book Logical Pluralism and Logical Consequence written by Erik Stei and published by Cambridge University Press. This book was released on 2023-04-30 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of Logical Consequence written by Colin R. Caret and published by OUP Oxford. This book was released on 2015-05-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.
Download or read book Janusz Czelakowski on Logical Consequence written by Jacek Malinowski and published by Springer Nature. This book was released on with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Grounded Consequence for Defeasible Logic written by Aldo Antonelli and published by Cambridge University Press. This book was released on 2005-06-27 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a title on the foundations of defeasible logic, which explores the formal properties of everyday reasoning patterns whereby people jump to conclusions, reserving the right to retract them in the light of further information. Although technical in nature the book contains sections that outline basic issues by means of intuitive and simple examples. This book is primarily targeted at philosophers interested in the foundations of defeasible logic, logicians, and specialists in artificial intelligence and theoretical computer science.
Download or read book Theory of Graded Consequence written by Mihir Kumar Chakraborty and published by Springer. This book was released on 2019-07-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the theory of graded consequence (GCT) and its mathematical formulation. It also compares the notion of graded consequence with other notions of consequence in fuzzy logics, and discusses possible applications of the theory in approximate reasoning and decision-support systems. One of the main points where this book emphasizes on is that GCT maintains the distinction between the three different levels of languages of a logic, namely object language, metalanguage and metametalanguage, and thus avoids the problem of violation of the principle of use and mention; it also shows, gathering evidences from existing fuzzy logics, that the problem of category mistake may arise as a result of not maintaining distinction between levels.
Download or read book Automated Reasoning written by Jasmin Blanchette and published by Springer Nature. This book was released on 2022 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an open access book. It is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Download or read book Similarity based consequence relations written by and published by . This book was released on 1995* with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book AI 2003 Advances in Artificial Intelligence written by Tamas D. Gedeon and published by Springer. This book was released on 2003-12-01 with total page 1095 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider the problem of a robot (algorithm, learning mechanism) moving along the real line attempting to locate a particular point ? . To assist the me- anism, we assume that it can communicate with an Environment (“Oracle”) which guides it with information regarding the direction in which it should go. If the Environment is deterministic the problem is the “Deterministic Point - cation Problem” which has been studied rather thoroughly [1]. In its pioneering version [1] the problem was presented in the setting that the Environment could charge the robot a cost which was proportional to the distance it was from the point sought for. The question of having multiple communicating robots locate a point on the line has also been studied [1, 2]. In the stochastic version of this problem, we consider the scenario when the learning mechanism attempts to locate a point in an interval with stochastic (i. e. , possibly erroneous) instead of deterministic responses from the environment. Thus when it should really be moving to the “right” it may be advised to move to the “left” and vice versa. Apart from the problem being of importance in its own right, the stoch- tic pointlocationproblemalsohas potentialapplications insolvingoptimization problems. Inmanyoptimizationsolutions–forexampleinimageprocessing,p- tern recognition and neural computing [5, 9, 11, 12, 14, 16, 19], the algorithm worksits wayfromits currentsolutionto the optimalsolutionbasedoninfor- tion that it currentlyhas. A crucialquestionis oneof determining the parameter whichtheoptimizationalgorithmshoulduse.
Download or read book Logical Consequence written by Gila Sher and published by Cambridge University Press. This book was released on 2022-09-08 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: To understand logic is, first and foremost, to understand logical consequence. This Element provides an in-depth, accessible, up-to-date account of and philosophical insight into the semantic, model-theoretic conception of logical consequence, its Tarskian roots, and its ideas, grounding, and challenges. The topics discussed include: (i) the passage from Tarski's definition of truth (simpliciter) to his definition of logical consequence, (ii) the need for a non-proof-theoretic definition, (iii) the idea of a semantic definition, (iv) the adequacy conditions of preservation of truth, formality, and necessity, (v) the nature, structure, and totality of models, (vi) the logicality problem that threatens the definition of logical consequence (the problem of logical constants), (vii) a general solution to the logicality, formality, and necessity problems/challenges, based on the isomorphism-invariance criterion of logicality, (viii) philosophical background and justification of the isomorphism-invariance criterion, and (ix) major criticisms of the semantic definition and the isomorphism-invariance criterion.
Download or read book Logic and Implication written by Petr Cintula and published by Springer Nature. This book was released on 2022-01-01 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions. Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics. The book may be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics.
Download or read book The Consequences of Humiliation written by Joslyn Trager Barnhart and published by Cornell University Press. This book was released on 2020-05-15 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Consequences of Humiliation explores the nature of national humiliation and its impact on foreign policy. Joslyn Barnhart demonstrates that Germany's catastrophic reaction to humiliation at the end of World War I is part of a broader pattern: states that experience humiliating events are more likely to engage in international aggression aimed at restoring the state's image in its own eyes and in the eyes of others. Barnhart shows that these states also pursue conquest, intervene in the affairs of other states, engage in diplomatic hostility and verbal discord, and pursue advanced weaponry and other symbols of national resurgence at higher rates than non-humiliated states in similar foreign policy contexts. Her examination of how national humiliation functions at the individual level explores leaders' domestic incentives to evoke a sense of national humiliation. As a result of humiliation on this level, the effects may persist for decades, if not centuries, following the original humiliating event.
Download or read book Foundations of Information and Knowledge Systems written by Thomas Eiter and published by Springer. This book was released on 2003-07-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the “Second International S- posium on Foundations of Information and Knowledge Systems” (FoIKS 2002), which was held in Schloß Salzau, Germany from February 20th to 23rd, 2002. FoIKS is a biennial event focusing on theoretical foundations of information and knowledge systems. It aims to bring together researchers working on the theoretical foundations of information and knowledge systems and to attract researchers working in mathematical ?elds such as discrete mathematics, c- binatorics, logics, and ?nite model theory who are interested in applying their theories to research on database and knowledge base theory. FoIKS took up the tradition of the conference series “Mathematical Fundamentals of Database S- tems” (MFDBS) which enabled East-West collaboration in the ?eld of database theory. The ?rst FoIKS symposium was held in Burg, Spreewald (Germany) in 2000. Former MFDBS conferences were held in Dresden (Germany) in 1987, Visegr ́ ad (Hungary) in 1989, and in Rostock (Germany) in 1991. Proceedings of these previous events were published by Springer-Verlag as volumes 305, 364, 495, and 1762 of the LNCS series. In addition the FoIKS symposium is intended to be a forum for intensive d- cussions. For this reason the time slot of long and short contributions is 60 and 30 minutes respectively, followed by 30 and 15 minutes for discussions, respectively. Furthermore, participants are asked in advance to prepare as correspondents to a contribution of another author. There are also special sessions for the pres- tation and discussion of open research problems.
Download or read book New Frontiers in Artificial Intelligence written by Takashi Onoda and published by Springer. This book was released on 2011-11-19 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of four workshops held as satellite events of the JSAI International Symposia on Artificial Intelligence 2010, in Tokyo, Japan, in November 2010. The 28 revised full papers with four papers for the following four workshops presented were carefully reviewed and selected from 70 papers. The papers are organized in sections Logic and Engineering of Natural Language Semantics (LENLS), Juris-Informatics (JURISIN), Advanced Methodologies for Bayesian Networks (AMBN), and Innovating Service Systems (ISS).
Download or read book Inference Consequence and Meaning written by Lilia Gurova and published by Cambridge Scholars Publishing. This book was released on 2012-03-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inferentialism as a theory of meaning builds on the idea that what a linguistic expression means depends exclusively on the inferential rules that govern its use. Following different strategies and exploring various case studies, the authors of this collection of essays discuss under what circumstances and to what extent the central tenets of inferentialism are tenable. The essays in this volume present the results of a three-year research project “Representation and Inference” which was conducted from the beginning of 2008 to the end 2010. The aim of the project was to assess the research program of inferentialism as it has been pursued recently by Robert Brandom, Mark Lance, and Jaroslav Peregrin. Earlier versions of these texts were presented at the conference “Inference, Consequence, and Meaning” held in Sofia on the 3rd and 4th of December, 2008.
Download or read book Simple Consequence Relations written by Arnon Avron and published by . This book was released on 1987 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
