Perspectives on Universal Logic PDF Download

Author: J. Y. Beziau
Publisher: Polimetrica s.a.s.
ISBN: 8876990771
Category : Mathematics
Languages : en
Pages : 442

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Author: Arnold Koslow
Publisher: Birkhäuser
ISBN: 3319153684
Category : Mathematics
Languages : en
Pages : 607

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Book Description
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.

Author: Ross Brady
Publisher: Stanford Univ Center for the Study
ISBN: 9781575862552
Category : Mathematics
Languages : en
Pages : 346

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Book Description
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.

Author: Jean-Yves Beziau
Publisher: Springer Science & Business Media
ISBN: 3764383542
Category : Mathematics
Languages : en
Pages : 247

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Book Description
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.

Author: Paolo Rossi
Publisher: University of Chicago Press
ISBN: 0226728269
Category : Philosophy
Languages : en
Pages : 361

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Book Description
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.

Author: Vaibbhav Taraate
Publisher: Springer Nature
ISBN: 9811946523
Category : Technology & Engineering
Languages : en
Pages : 309

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Book Description
This volume covers digital design techniques, exercises and applications. The book discusses digital design and implementation in the context of VLSI and embedded system design. It covers basic digital design techniques to high speed design techniques. The contents also cover performance improvement, optimization concepts and design case studies. It includes pedagogical features such as design examples and illustrations. This book will be a useful guide for hardware engineers, logic design engineers, professionals and hobbyists looking to learn and use the digital design to develop VLSI based algorithms, architectures and products.

Author: Smith
Publisher: Springer Science & Business Media
ISBN: 9401744475
Category : Philosophy
Languages : en
Pages : 240

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Book Description
Phenomenology, as one of many ways of philosophizing, can be seen from many perspectives. And, as a body of thought, it can be placed in perspective. The essays in this book clearly show that there is no one way of "doing phenomenology," any more than there is any one way to philosophize. Phenomenology reveals itself as many-faceted, and there is work in this field for many talents. The fact that there are such varied aspects to the study of phenomenology is what puts it in perspective as a rich source of philosophical thought. In the sharing of their various perspectives the authors of these essays discuss the present and future of phenomenology as a philosophical discipline, the important subjects of language, of interpersonal relations, of self awakening, of visual and auditory perception and imagination, of ethical education. The names of Husserl, Heidegger, and Merleau Ponty 100m large in these essays, but Max Scheler's name is also placed in perspective as one of the major phenomenological thinkers, thus far not as weH known in America as he might be. No one claims that the thought of Martin Heidegger is easy to comprehend, especiaHy if immediate "results" are demanded. The difficult essays on Heidegger reflect some of the innate complexities of his thought.

Author: Jean-François Côté
Publisher: Routledge
ISBN: 1317259254
Category : Political Science
Languages : en
Pages : 225

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Book Description
This book offers a new look at Mead's concept of society, in an attempt to reconstruct its significance for sociological theory. Chapter 1 offers a critical genealogical reading of writings, from early articles to the latest books, where Mead articulates his views on social reform, social psychology, and the gradual theorization of self and society. Chapter 2 pays attention to the phylogenetic and ontogenetic processes at work in both the self and society, by comparing Mead's social psychology with Freudian and Lacanian psychoanalysis. Chapter 3 brings together all the elements that are part of the structures of self and society within a topological and dialectical schematization of their respective and mutual relations. Chapter 4 is devoted to the passage of Mead's views from social psychology to sociology, with a critical look at Herbert Blumer's developments in symbolic interactionism as the presumed main legitimate heir of Mead's social psychology. Chapter 5 examines how Mead's general philosophical views fit within the new epistemological context of contemporary society based on communication and debates on postmodernity.

Author: Carlos Vidales
Publisher: Springer Nature
ISBN: 3030527468
Category : Philosophy
Languages : en
Pages : 555

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This book traces the origins and evolution of cybersemiotics, beginning with the integration of semiotics into the theoretical framework of cybernetics and information theory. The book opens with chapters that situate the roots of cybersemiotics in Peircean semiotics, describe the advent of the Information Age and cybernetics, and lay out the proposition that notions of system, communication, self-reference, information, meaning, form, autopoiesis, and self-control are of equal topical interest to semiotics and systems theory. Subsequent chapters introduce a cybersemiotic viewpoint on the capacity of arts and other practices for knowing. This suggests pathways for developing Practice as Research and practice-led research, and prompts the reader to view this new configuration in cybersemiotic terms. Other contributors discuss cultural and perceptual shifts that lead to interaction with hybrid environments such as Alexa. The relationship of storytelling and cybersemiotics is covered at chapter length, and another chapter describes an individual-collectivity dialectics, in which the latter (Commind) constrains the former (interactants), but the former fuels the latter. The concluding chapter begins with the observation that digital technologies have infiltrated every corner of the metropolis - homes, workplaces, and places of leisure - to the extent that cities and bodies have transformed into interconnected interfaces. The book challenges the reader to participate in a broader discussion of the potential, limitations, alternatives, and criticisms of cybersemiotics.

Author: Mirja Hartimo
Publisher: Taylor & Francis
ISBN: 1000992314
Category : Philosophy
Languages : en
Pages : 231

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Book Description
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.