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This book brings together contemporary work on relevant logics to showcase the recent progress of the field and set the stage for future research. The papers in the volume contribute to the formal and philosophical development of the field. They include contributions from different traditions and approaches ranging from philosophical discussions of the foundations of relevant, and related kinds of non-classical, logic to mathematical work concerning open technical problems in the field. This is the first edited collection on the topic in many years, and it includes contributions from established figures as well as younger generations of researchers. Relevant logics have recently seen a resurgence of interest and this volume will be an important resource for logicians working on substructural and relevant logics for years to come. .

Logic. --- Logic, Symbolic and mathematical. --- Mathematical Logic and Foundations. --- Philosophical Logic.

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Dieses Buch präsentiert die seit Langem erwartete kritische Edition der zuvor unveröffentlichten Vorlesungsnotizen Kazimierz Twardowskis aus seiner Zeit an der Universität Wien (1894/95). Bezüglich seines Umfangs und Themas sowie seiner Sprache ist dieser Text einzigartig im Œuvre Twardowskis. Bekannt vor allem für seine ebenso wichtige wie kurze Abhandlung Zur Lehre vom Inhalt und Gegenstand der Vorstellungen (1894), entwickelt er im Logik-Manuskript seine Thesen viel detaillierter und in überarbeiteter Form. Die restlichen seiner Werke sind in polnischer Sprache verfasst und damit für viele Leser nur schwer zugänglich. Diese Edition ist von großem Interesse für alle Philosophen, die zur Wiener Wissenschaftsphilosophie vor dem Wiener Kreis forschen, für alle, die sich für die frühe Phänomenologie und Husserls Denken interessieren, und besonders für Spezialisten der österreichischen Philosophie und der kontinentalen Tradition analytischer Philosophie, für die dieser Text eine unverzichtbare Quelle darstellt. This book presents the long-awaited critical edition of an unpublished manuscript of 277 pages containing Twardowski's lecture notes on logic given in German at the University of Vienna. As to length, language and topic, this text is unique among the works of the author, who is renowned for his Zur Lehre vom Inhalt und Gegenstand der Vorstellungen (1894), an influential but short book that has been out of stock for a long time already. In Logik Twardowski's ideas are exposed in a much more extensive and interestingly revised form. The rest of Twardowski's production is in Polish, a language inaccessible to many readers. This edition will be of special interest to philosophers interested in the scientific philosophy in Vienna before the Wiener Kreis, to phenomenologists and anyone interested in early phenomenology and Husserl's thought, to historians of early analytic philosophy, and particularly to specialists of Austrian philosophy and the continental analytic tradition from Bolzano to Tarski, for whom the book will be a truly indispensable source.

Logic. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Methodology --- Philosophical logic. --- early phenomenology. --- theory of presentations and judgments.

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Die Untersuchung zielt auf eine systematische Begründung der von Frege und Wittgenstein initiierten sprachphilosophischen Wende. Ihr zentrales Thema ist das Verhältnis zwischen Gedanken und ihrem Ausdruck. Entwickelt wird eine neuartige Begründung dafür, dass wir im Denken nicht zufällig auf den Gebrauch von Ausdrücken angewiesen sind. Vielmehr sind Gedanken notwendig an Ausdruck gekoppelt, ohne sich mit diesem gleichsetzen zu lassen. Dabei wird die logisch-philosophische Wende zur Sprache zu einer Wende zum Ausdruck verallgemeinert: Dem sprachlich artikulierten Denken muss ein vorsprachliches Denken vorangehen, dessen Ausdruck etwa gestisch-mimischer Art sein kann. Allerdings weist das vorsprachliche Denken aufgrund seiner eigenen Beschränktheit über sich hinaus. Die Untersuchung erweist die Sprache so als Leistung der Vernunft statt als bloß naturhafte Voraussetzung von deren Ausübung.

Gedanke --- Sprachphilosophie --- philosophische Logik --- Logik der Sprache --- Frege --- Wittgenstein --- linguistic turn --- linguistische Wende --- expressive turn --- thought --- philosophy of language --- philosophical logic --- logic of language

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Samson Abramsky’s wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field. This book is a rich collection of papers, inspired by and extending Abramsky’s work. It contains both survey material and new results, organised around six major themes: domains and duality, game semantics, contextuality and quantum computation, comonads and descriptive complexity, categorical and logical semantics, and probabilistic computation. These relate to different stages and aspects of Abramsky’s work, reflecting its exceptionally broad scope and his ability to illuminate and unify diverse topics. Chapters in the volume include a review of his entire body of work, spanning from philosophical aspects to logic, programming language theory, quantum theory, economics and psychology, and relating it to a theory of unification of sciences using dual adjunctions. The section on game semantics shows how Abramsky’s work has led to a powerful new paradigm for the semantics of computation. The work on contextuality and categorical quantum mechanics has been highly influential, and provides the foundation for increasingly widely used methods in quantum computing. The work on comonads and descriptive complexity is building bridges between currently disjoint research areas in computer science, relating Structure to Power. The volume also includes a scientific autobiography, and an overview of the contributions. The outstanding set of contributors to this volume, including both senior and early career academics, serve as testament to Samson Abramsky’s enduring influence. It will provide an invaluable and unique resource for both students and established researchers.

Mathematical logic --- Logic --- Mathematics --- Computer science --- Linguistics --- computers --- linguïstiek --- wiskunde --- logica --- computerkunde --- Logic. --- Computer science. --- Mathematics. --- Linguistics. --- Logic, Symbolic and mathematical. --- Computer Science. --- Philosophical Logic. --- Mathematical Logic in Philosophy.

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Samson Abramsky’s wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field. This book is a rich collection of papers, inspired by and extending Abramsky’s work. It contains both survey material and new results, organised around six major themes: domains and duality, game semantics, contextuality and quantum computation, comonads and descriptive complexity, categorical and logical semantics, and probabilistic computation. These relate to different stages and aspects of Abramsky’s work, reflecting its exceptionally broad scope and his ability to illuminate and unify diverse topics. Chapters in the volume include a review of his entire body of work, spanning from philosophical aspects to logic, programming language theory, quantum theory, economics and psychology, and relating it to a theory of unification of sciences using dual adjunctions. The section on game semantics shows how Abramsky’s work has led to a powerful new paradigm for the semantics of computation. The work on contextuality and categorical quantum mechanics has been highly influential, and provides the foundation for increasingly widely used methods in quantum computing. The work on comonads and descriptive complexity is building bridges between currently disjoint research areas in computer science, relating Structure to Power. The volume also includes a scientific autobiography, and an overview of the contributions. The outstanding set of contributors to this volume, including both senior and early career academics, serve as testament to Samson Abramsky’s enduring influence. It will provide an invaluable and unique resource for both students and established researchers.

Logic. --- Computer science. --- Mathematics. --- Linguistics. --- Logic, Symbolic and mathematical. --- Computer Science. --- Philosophical Logic. --- Mathematical Logic in Philosophy. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Linguistic science --- Science of language --- Language and languages --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Math --- Informatics --- Methodology