Download or read book The Realism Antirealism Debate in the Age of Alternative Logics written by Shahid Rahman and published by Springer Science & Business Media. This book was released on 2011-09-22 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relation between logic and knowledge has been at the heart of a lively debate since the 1960s. On the one hand, the epistemic approaches based their formal arguments in the mathematics of Brouwer and intuitionistic logic. Following Michael Dummett, they started to call themselves `antirealists'. Others persisted with the formal background of the Frege-Tarski tradition, where Cantorian set theory is linked via model theory to classical logic. Jaakko Hintikka tried to unify both traditions by means of what is now known as `explicit epistemic logic'. Under this view, epistemic contents are introduced into the object language as operators yielding propositions from propositions, rather than as metalogical constraints on the notion of inference. The Realism-Antirealism debate has thus had three players: classical logicians, intuitionists and explicit epistemic logicians. The editors of the present volume believe that in the age of Alternative Logics, where manifold developments in logic happen at a breathtaking pace, this debate should be revisited. Contributors to this volume happily took on this challenge and responded with new approaches to the debate from both the explicit and the implicit epistemic point of view.

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.

Download or read book Logics and Falsifications written by Andreas Kapsner and published by Springer. This book was released on 2015-01-07 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines the concept of falsification as a central notion of semantic theories and its effects on logical laws. The point of departure is the general constructivist line of argument that Michael Dummett has offered over the last decades. From there, the author examines the ways in which falsifications can enter into a constructivist semantics, displays the full spectrum of options, and discusses the logical systems most suitable to each one of them. While the idea of introducing falsifications into the semantic account is Dummett's own, the many ways in which falsificationism departs quite radically from verificationism are here spelled out in detail for the first time. The volume is divided into three large parts. The first part provides important background information about Dummett’s program, intuitionism and logics with gaps and gluts. The second part is devoted to the introduction of falsifications into the constructive account and shows that there is more than one way in which one can do this. The third part details the logical effects of these various moves. In the end, the book shows that the constructive path may branch in different directions: towards intuitionistic logic, dual intuitionistic logic and several variations of Nelson logics. The author argues that, on balance, the latter are the more promising routes to take. "Kapsner’s book is the first detailed investigation of how to incorporate the notion of falsification into formal logic. This is a fascinating logico-philosophical investigation, which will interest non-classical logicians of all stripes." Graham Priest, Graduate Center, City University of New York and University of Melbourne

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.

Download or read book The Architecture and Archaeology of Modern Logic written by Ansten Klev and published by Springer Nature. This book was released on with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Pluralisms in Truth and Logic written by Jeremy Wyatt and published by Springer. This book was released on 2018-12-29 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume brings together 18 state-of-the art essays on pluralism about truth and logic. Parts I and II are dedicated to respectively truth pluralism and logical pluralism, and Part III to their interconnections. Some contributors challenge pluralism, arguing that the nature of truth or logic is uniform. The majority of contributors, however, defend pluralism, articulate novel versions of the view, or contribute to fundamental debates internal to the pluralist camp. The volume will be of interest to truth theorists and philosophers of logic, as well as philosophers interested in relativism, contextualism, metaphysics, philosophy of language, semantics, paradox, epistemology, or normativity.

Download or read book Graham Priest on Dialetheism and Paraconsistency written by Can Başkent and published by Springer Nature. This book was released on 2020-01-01 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art in the fields of formal logic pioneered by Graham Priest. It includes advanced technical work on the model and proof theories of paraconsistent logic, in contributions from top scholars in the field. Graham Priest’s research has had a considerable influence on the field of philosophical logic, especially with respect to the themes of dialetheism—the thesis that there exist true but inconsistent sentences—and paraconsistency—an account of deduction in which contradictory premises do not entail the truth of arbitrary sentences. Priest’s work has regularly challenged researchers to reappraise many assumptions about rationality, ontology, and truth. This book collects original research by some of the most esteemed scholars working in philosophical logic, whose contributions explore and appraise Priest’s work on logical approaches to problems in philosophy, linguistics, computation, and mathematics. They provide fresh analyses, critiques, and applications of Priest’s work and attest to its continued relevance and topicality. The book also includes Priest’s responses to the contributors, providing a further layer to the development of these themes .

Download or read book Meaning in Dialogue written by James Trafford and published by Springer. This book was released on 2016-10-24 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Road to Universal Logic written by Arnold Koslow and published by Birkhäuser. This book was released on 2015-06-10 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.

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.

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 196 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.

Download or read book Information and Knowledge written by Giuseppe Primiero and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a philosophical and logical interpretation of the concept of information within the formal structure of Constructive Type Theory (CTT), in a manner concurrent with a diverse range of contemporary perspectives on the philosophy of information. It presents a newly formulated and conceptually developed presentation of the Problem of Analyticity, and a new interesting perspective on the constructive interpretation of knowledge processes.

Download or read book Inside Arguments written by Henrique Jales Ribeiro and published by Cambridge Scholars Publishing. This book was released on 2012-04-25 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes a collection of eighteen essays that provide a decisive input to the study of logic and argumentation theory by some of the finest specialists in these areas, covering the main schools of thought and contemporary trends at the beginning of the 21st century. In these essays, the authors clarify the status of what we currently call, ambiguously and problematically, “logic” and “argumentation theory”, and discuss the no less controversial issue of the relationship between these two concepts when applied to the study of argumentation and its problems. At the same time, they take stock of the most recent developments of argumentation theory considered as an ongoing research subject. It is the first time in the last few decades that a work this comprehensive and up-to-date on such matters has been published. This volume is an essential tool for all of those interested in the study of the relations between logic and argumentation, particularly at the university level. It provides not only an introduction to these subjects, but also the necessary framework for further specialised research development in the future.

Download or read book Garcian Meditations written by Jon Cogburn and published by Edinburgh University Press. This book was released on 2017-03-08 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of Form and Object: A Treatise on Things by Tristan Garcia, Prix de Flore-winning novelist, philosopher, essayist, and screenwriter is a genuine event in the history of philosophy. Situating this event within classical, modern and contemporary dialectical space, Jon Cogburn evaluates Garcia's metaphysics, differential ontology, and militant anti-reductionism through a series of seemingly incompatible oppositions: substance/process, analysis/dialectic, simple/whole and discovery/creation. ogburn also includes a critical assessment of the consequences of Garcia's philosophy, the various unresolved problems in his treatise and the future prospects of speculative metaphysics.

Download or read book Software Engineering and Formal Methods SEFM 2020 Collocated Workshops written by Loek Cleophas and published by Springer Nature. This book was released on 2021-01-16 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the revised selected papers from the three workshops collocated with the 18th International Conference on Software Engineering and Formal Methods, SEFM 2020, held in Amsterdam, The Netherlands, in September 2020. The 15 full papers presented together with 8 short papers in this volume were carefully reviewed and selected from a total of 35 submissions. The contributions that are collected in this volume have been selected from the presentations at the following workshops: ASYDE 2020: Second International Workshop on Automated and Verifiable Software System Development; CIFMA 2020: Second International Workshop on Cognition: Interdisciplinary Foundations, Models and Applications; and CoSim-CPS 2020: Fourth International Workshop on Formal Co-Simulation of Cyber-Physical Systems. Due to the Corona pandemic this event was held virtually.

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.