Universal Logic

Universal Logic
Author: Ross Brady
Publisher: Stanford Univ Center for the Study
Total Pages: 346
Release: 2006
Genre: Mathematics
ISBN: 9781575862552

This work conceptualizes a new logic, where the main inference connective is understood as meaning containment. Classical logic plays a restricted role, applying to classical sentences, while the new logic is studied in depth with chapters on semantics, proof theory, and properties. Based on this logic, simple consistency is proved for naive class theory, also in conjunction with classical theories such as a Z-F-style set theory. This book shows how the main set-theoretic and semantic paradoxes can be solved in a systematic way, which is conceptualized independently of the paradoxes themselves.

A New Perspective on Nonmonotonic Logics

A New Perspective on Nonmonotonic Logics
Author: Dov M. Gabbay
Publisher: Springer
Total Pages: 367
Release: 2016-11-05
Genre: Mathematics
ISBN: 3319468170

In this book the authors present new results on interpolation for nonmonotonic logics, abstract (function) independence, the Talmudic Kal Vachomer rule, and an equational solution of contrary-to-duty obligations. The chapter on formal construction is the conceptual core of the book, where the authors combine the ideas of several types of nonmonotonic logics and their analysis of 'natural' concepts into a formal logic, a special preferential construction that combines formal clarity with the intuitive advantages of Reiter defaults, defeasible inheritance, theory revision, and epistemic considerations. It is suitable for researchers in the area of computer science and mathematical logic.

The Road to Universal Logic

The Road to Universal Logic
Author: Arnold Koslow
Publisher: Birkhäuser
Total Pages: 607
Release: 2015-06-10
Genre: Mathematics
ISBN: 3319153684

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.

Logica Universalis

Logica Universalis
Author: Jean-Yves Beziau
Publisher: Springer Science & Business Media
Total Pages: 247
Release: 2007-08-08
Genre: Mathematics
ISBN: 3764383542

Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.

Philosophical Perspectives on Contemporary Ireland

Philosophical Perspectives on Contemporary Ireland
Author: Clara Fischer
Publisher: Routledge
Total Pages: 240
Release: 2019-11-25
Genre: History
ISBN: 0429581297

This is the first book to bring a philosophical lens to issues of socio-political and cultural importance in twenty-first century Ireland. While the social, political, and economic landscape of contemporary Ireland has inspired extensive scholarly debate both within and well beyond the field of Irish Studies, there is a distinct lack of philosophical voices in these discussions. The aim of this volume is to enrich the fields of Philosophy and Irish Studies by encouraging a manifestly philosophical exploration of contemporary issues and concerns. The essays in this volume collectively address diverse philosophical questions on contemporary Ireland by exploring a variety of themes, including: diaspora, exile, return; women’s bodies and autonomy; historic injustices and national healing; remembering and commemoration; institutionalization and containment; colonialism and Ireland as "home"; conflict and violence; Northern Ireland and the peace process; nationalism, patriotism, and masculinities; ethnicity, immigration, and identity; and translation, art and culture. Philosophical Perspectives on Contemporary Ireland marks a significant contribution to contemporary theorizations of Ireland by incorporating both Irish and transatlantic perspectives. It will appeal to a broad audience of scholars and advanced students working in philosophy, Irish Studies, feminist theory, history, legal studies, and literary theory. Beyond academia, it will also engage those interested in contemporary Ireland from policy and civil society perspectives.

Critical Views of Logic

Critical Views of Logic
Author: Mirja Hartimo
Publisher: Taylor & Francis
Total Pages: 231
Release: 2023-10-31
Genre: Philosophy
ISBN: 1000992314

This book examines positions that challenge the Fregean logic-first view. It raises critical questions about logic by examining various ways in which logic may be entangled with mathematics and metaphysics. Is logic topic-neutral and general? Can we take the application of logic for granted? This book suggests that we should not be dogmatic about logic but ask similar critical questions about logic as those Kant raised about metaphysics and mathematics. It challenges the Fregean logic-first view according to which logic is fundamental and hence independent of any extra-logical considerations. Whereas Quine assimilated logic and mathematics to the theoretical parts of empirical science, the present volume explores views that stop short of his thoroughgoing holism but instead take logic to be answerable to or entangled with some particular disciplines. The contributions provide views that assign primacy to mathematical reasons, Kantian metaphysical grounds, Husserlian transcendental phenomenological reflection, or normative considerations about how terms ought to be defined in various fields of empirical science or mathematics. Space is thereby carved out between a Fregean position on the one hand and Quinean holism on the other. Critical Views of Logic will be a key resource for academics, researchers, and advanced students of philosophy, linguistics, mathematics, and computer science, as well as those engaged in various fields of empirical science. The chapters in this book, except for chapter 4, were originally published in the journal Inquiry.

Logic and the Art of Memory

Logic and the Art of Memory
Author: Paolo Rossi
Publisher: University of Chicago Press
Total Pages: 361
Release: 2000-12-15
Genre: Philosophy
ISBN: 0226728269

The mnemonic arts and the idea of a universal language that would capture the essence of all things were originally associated with cryptology, mysticism, and other occult practices. And it is commonly held that these enigmatic efforts were abandoned with the development of formal logic in the seventeenth century and the beginning of the modern era. In his distinguished book, Logic and the Art of Memory Italian philosopher and historian Paolo Rossi argues that this view is belied by an examination of the history of the idea of a universal language. Based on comprehensive analyses of original texts, Rossi traces the development of this idea from late medieval thinkers such as Ramon Lull through Bruno, Bacon, Descartes, and finally Leibniz in the seventeenth century. The search for a symbolic mode of communication that would be intelligible to everyone was not a mere vestige of magical thinking and occult sciences, but a fundamental component of Renaissance and Enlightenment thought. Seen from this perspective, modern science and combinatorial logic represent not a break from the past but rather its full maturity. Available for the first time in English, this book (originally titled Clavis Universalis) remains one of the most important contributions to the history of ideas ever written. In addition to his eagerly anticipated translation, Steven Clucas offers a substantial introduction that places this book in the context of other recent works on this fascinating subject. A rich history and valuable sourcebook, Logic and the Art of Memory documents an essential chapter in the development of human reason.

Perspectives on Digital Pathology

Perspectives on Digital Pathology
Author: Marcial García-Rojo
Publisher: IOS Press
Total Pages: 280
Release: 2012
Genre: Computers
ISBN: 1614990859

Multimedia information and digital images are increasingly important in the field of healthcare, but establishing an adequate technological framework for their management, and workable international standards to ensure compatibility and interoperability, are crucial if they are to be employed effectively. This book presents the main research efforts of EURO-TELEPATH, an initiative of the European Corporation in Science and Technology (COST) Action, IC0604. This program began in November 2007, and ran until November 2011. Its aim was to develop the standards and solutions necessary to represent, interpret, browse and retrieve digital medical images, while preserving their diagnostic quality for clinical purposes, education and research. At the end of the project, the most relevant researchers in the field of digital pathology u many of whom had been active members of EURO-TELEPATH u were asked to contribute to a book which would compile the main research efforts of the European COST Action consortium. The book is divided into six parts. The first is an introduction to the instruments and activities of COST.This is followed by sections dealing with: the state-of-the-art in pathology; pathology business modeling; standards and specifications in pathology; the analysis, processing, retrieval and management of images; technology and automation in pathology; and strategic developments and emerging research. As well as being a comprehensive overview of the IC0604 COST program, the book includes a selection of papers from American and Japanese researchers working in the same field.