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This volume presents recent advances in philosophical logic with chapters focusing on non-classical logics, including paraconsistent logics, substructural logics, modal logics of agency and other modal logics. The authors cover themes such as the knowability paradox, tableaux and sequent calculi, natural deduction, definite descriptions, identity, truth, dialetheism and possible worlds semantics. The developments presented here focus on challenging problems in the specification of fundamental philosophical notions, as well as presenting new techniques and tools, thereby contributing to the development of the field. Each chapter contains a bibliography, to assist the reader in making connections in the specific areas covered. Thus this work provides both a starting point for further investigations into philosophical logic and an update on advances, techniques and applications in a dynamic field. The chapters originate from papers presented during the Trends in Logic XI conference at the Ruhr University Bochum, June 2012.
This volume contains newly-commissioned articles covering the development of modern logic from the late medieval period (fourteenth century) through the end of the twentieth-century. It is the first volume to discuss the field with this breadth of coverage and depth. It will appeal to scholars and students of philosophical logic and the philosophy of logic.
This volume brings together a group of logic-minded philosophers and philosophically oriented logicians, mainly from Asia, to address a variety of logical and philosophical topics of current interest, offering a representative cross-section of the philosophical logic landscape in early 21st-century Asia. It surveys a variety of fields, including modal logic, epistemic logic, formal semantics, decidability and mereology. The book proposes new approaches and constructs more powerful frameworks, such as cover theory, an algebraic approach to cut-elimination, and a Boolean approach to causal discovery, to name but a few. Readers may find a wide range of applications of these original works in current research of philosophical logic, especially in the structural and conceptual analysis of some significant semantic properties and formal systems. The variety of topics and issues discussed here will appeal to readers from a broad spectrum of disciplines, ranging from mathematical/philosophical logic, computing science, cognitive science and artificial intelligence, to linguistics, game theory and beyond.
This book seeks to provide new perspectives, to broaden the field of philosophy of science, or to renew themes that have had a great impact on the profession. Thus, after an initial chapter to situate the current trends in philosophy of science and the prospective of the near future, it offers contributions in five thematic blocks: I) Philosophy of Medicine and Climate Change; II) Philosophy of Artificial Intelligence and the Internet; III) New Analyses of Probability and the Use of Mathematics in Practice; IV) Scientific Progress Revisited; and V) Scientific Realism and the Instrumentalist Alternative. Within this framework, the volume addresses such relevant issues as the methodological validity of medical evidence or decision making in situations of uncertainty; recent advances in Artificial Intelligence and the future of the Internet; current forms of empirically based methodological pluralism and new ways of understanding mathematics with scientific practice; and the revision of the approaches to scientific progress based on the experiences accumulated in recent decades.
This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic’s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic theories are well understood by which types of paraconsistent approaches. This volume addresses such questions from different perspectives in order to (i) obtain a representative overview of the state of the art in the philosophical debate on paraconsistency, (ii) come up with fresh ideas for the future of paraconsistency, and most importantly (iii) provide paraconsistent logic with a stronger philosophical foundation, taking into account the developments within the different schools of paraconsistency.
This edited volume collects essays on the four-valued logic known as Belnap-Dunn logic, or first-degree entailment logic (FDE). It also looks at various formal systems closely related to it. These include the strong Kleene logic and the Logic of Paradox. Inside, readers will find reprints of seminal papers written by the fathers of the field: Nuel Belnap and Michael Dunn. In addition, the collection also features a well-known but previously unpublished manuscript of Dunn, an interview with Belnap, and a new essay by Dunn. Besides the original, monumental papers, the book also includes research by leading scholars. They consider the extraordinary importance of Belnap-Dunn logic from several perspectives. They look at how, philosophically, it has served as a basic system of inconsistency-tolerant reasoning, as the core of underlying logics for theories based on dialetheism, and, more recently, for theories based on Buddhist philosophy. Coverage also explores its contributions to computer science, such as knowledge representation and information processing. This mix of seminal papers and insightful analysis by top scholars offers readers a comprehensive outlook on Belnap-Dunn logic and its related expansions, which have been agenda setting for the debate on philosophical logic as well as philosophy of logic. The book will also enhance further discussion on the philosophical issues related to nonclassical logics in general.
This book highlights and explains the significance of philosophical, logical, and scientific principles for engineering education/training and engineering works. In so doing, it aims to help to rectify the neglect of philosophy and logic in current education and training programs, which emphasize analytical and numerical methods at the expense of the innovative practical and creative abilities so important for engineering in the past. Individual chapters examine the relation of philosophy, logic, and science to engineering, drawing attention to, for example, the significance of ethics, the relevance of the philosophy of science, and the increasing importance of application of fuzzy logic to engineering. Modeling principles and philosophy in engineering are discussed, and the impact of different education systems, examined. Too often engineers have become reliant on readily available formulations and software; this book offers an antidote, promoting the recognition of artistic and humanitarian aspects and their integration in engineering works.
In this book, Bradley Armour-Garb and James A. Woodbridge distinguish various species of fictionalism, locating and defending their own version of philosophical fictionalism. Addressing semantic and philosophical puzzles that arise from ordinary language, they consider such issues as the problem of non-being, plural identity claims, mental-attitude ascriptions, meaning attributions, and truth-talk. They consider 'deflationism about truth', explaining why deflationists should be fictionalists, and show how their philosophical fictionalist account of truth-talk underwrites a dissolution of the Liar Paradox and its kin. They further explore the semantic notions of reference and predicate-satisfaction, showing how philosophical fictionalism can also resolve puzzles that these notions appear to present. Their critical examination of fictionalist approaches in philosophy, together with the development and application of their own brand of philosophical fictionalism, will be of great interest to scholars and upper-level students of philosophy of language, metaphysics, philosophical logic, philosophy of mind, epistemology, and linguistics.
This book constitutes the thoroughly refereed post-conference proceedings of the 24th IFIP WG 1.3 International Workshop on Algebraic Development Techniques, WADT 2018, held in Egham, UK in July 2018. The 9 revised papers presented were carefully reviewed and selected from 13 submissions. The contributed presentations covered a range of topics: specification and modelling languages such as CASL, Event-B, Maude, MMT, and SRML; foundations of system specification such as graph transformation, categorical semantics, fuzzy and temporal logics, institutions, module systems and parameterization, refinement, static analysis, and substitutions; and applications including categorical programming, communicating finite state machines, neuralsymbolicintegration, relational databases, and service-oriented computing.
The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.