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  • 1
    Keywords: Logic History ; Logic
    Description / Table of Contents: The present volume of the Handbook of the History of Logic is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic. British Logic in the Nineteenth Century is indispensable reading and a definitive research resource for anyone with an interest in the history of logic. - Detailed and comprehensive chapters covering the entire range of modal logic - Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic
    Type of Medium: Online Resource
    Pages: Online-Ressource (v. 1, 4, 7) , ill , 25 cm
    Edition: 1st ed
    ISBN: 0444516107 , 9780444516107
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    Language: English
    Note: Includes bibliographical references and index , v. 1. Greek, Indian, and Arabic logic -- v. 4. British logic in the nineteenth century , 1. "Bentham's Logic" by Charissa Varma and Gordon McOuat -- 2. "Coleridge's Logic" by Timothy Milnes -- 3. "Whately's Logic" by James Van Evra -- 4. "Hamilton's Logic" by Ralph Jessop -- 5. "Whewell's Logic" by Laura Snyder -- 6. "Mill's Logic" by Fred Wilson -- 7. "DeMorgan's Logic" by Michael Hobards & Joan Richards -- 8. "Boole's Logic" by Dale Jacquette -- 9. "French Logique and British Logic: On the Origins of Augustus deMorgan early Logical Enquiries 1805-1835" by Maria Panteki -- 10. "Lewis Carroll's Logic" by Amirouche Moktefi -- 11. "Venn's Logic" by James Van Evra -- 12. "Jevons' Logic" by Bert Mosselmans and Ard Van Moer -- 13. "MacColl's Logic" by Shahid Rahman -- 14. "The Idealists" by David Sullivan. , Electronic reproduction; Mode of access: World Wide Web
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  • 2
    Keywords: Logic History ; Logic History ; Philosophy, Ancient ; Logic ; History ; Logica ; Electronic books ; Mathematische Logik ; Mathematik ; Geschichte ; Mathematische Logik ; Mathematik ; Geschichte
    Description / Table of Contents: Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon to appear are The Rise of Modern Logic: From Leibniz to Frege. Also in preparation are Logic From Russell to G̱del, The Emergence of Classical Logic, Logic and the Modalities in the Twentieth Century, and The Many-Valued and Non-Monotonic Turn in Logic. Further volumes will follow, including Mediaeval and Renaissance Logic and Logic: A History of its Central. In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality. Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world. Like its companion volumes, Greek, Indian and Arabic Logic is the result of a design that gives to its distinguished authors as much space as would be needed to produce highly authoritative chapters, rich in detail and interpretative reach. The aim of the Editors is to have placed before the relevant intellectual communities a research tool of indispensable value. Together with the other volumes, Greek, Indian and Arabic Logic, will be essential reading for everyone with a curiosity about logic's long development, especially researchers, graduate and senior undergraduate students in logic in all its forms, argumentation theory, AI and computer science, cognitive psychology and neuroscience, linguistics, forensics, philosophy and the history of philosophy, and the history of ideas
    Type of Medium: Online Resource
    Pages: Online-Ressource (v. 〈1〉p) , ill , 25 cm
    Edition: 1st ed
    ISBN: 0444504664 , 9780444504661
    Series Statement: Handbook of the history of logic volume 1
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    Language: English
    Note: Includes bibliographical references and index , v. 1. Greek, Indian, and Arabic logic , Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon to appear are The Rise of Modern Logic: From Leibniz to Frege. Also in preparation are Logic From Russell to G̱del, The Emergence of Classical Logic, Logic and the Modalities in the Twentieth Century, and The Many-Valued and Non-Monotonic Turn in Logic. Further volumes will follow, including Mediaeval and Renaissance Logic and Logic: A History of its Central. In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality. Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world. Like its companion volumes, Greek, Indian and Arabic Logic is the result of a design that gives to its distinguished authors as much space as would be needed to produce highly authoritative chapters, rich in detail and interpretative reach. The aim of the Editors is to have placed before the relevant intellectual communities a research tool of indispensable value. Together with the other volumes, Greek, Indian and Arabic Logic, will be essential reading for everyone with a curiosity about logic's long development, especially researchers, graduate and senior undergraduate students in logic in all its forms, argumentation theory, AI and computer science, cognitive psychology and neuroscienc ... , Electronic reproduction; Mode of access: World Wide Web
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  • 3
    Online Resource
    Online Resource
    Amsterdam [u.a.] : Elsevier
    Keywords: Logic, Symbolic and mathematical ; Logique symbolique et mathématique ; MATHEMATICS ; Infinity ; MATHEMATICS ; Logic ; Logic, Symbolic and mathematical ; Logica ; Argumentatie ; Argumentation ; Inférence (Logique) ; Logique mathématique ; Raisonnement (Philosophie) ; Electronic books ; Electronic books ; Aufsatzsammlung ; Logik ; Kombinatorik
    Description / Table of Contents: The Handbook of the Logic of Argument and Inference is an authoritative reference work in a single volume, designed for the attention of senior undergraduates, graduate students and researchers in all the leading research areas concerned with the logic of practical argument and inference. After an introductory chapter, the role of standard logics is surveyed in two chapters. These chapters can serve as a mini-course for interested readers, in deductive and inductive logic, or as a refresher. Then follow two chapters of criticism; one the internal critique and the other the empirical critique. The first deals with objections to standard logics (as theories of argument and inference) arising from the research programme in philosophical logic. The second canvasses criticisms arising from work in cognitive and experimental psychology. The next five chapters deal with developments in dialogue logic, interrogative logic, informal logic, probability logic and artificial intelligence. The last chapter surveys formal approaches to practical reasoning and anticipates possible future developments. Taken as a whole the Handbook is a single-volume indication of the present state of the logic of argument and inference at its conceptual and theoretical best. Future editions will periodically incorporate significant new developments
    Type of Medium: Online Resource
    Pages: Online Ressource (x, 498 p.)
    Edition: 1. ed.
    ISBN: 0444506500 , 9780444506504 , 9780080532912 , 0080532918
    Series Statement: Studies in logic and practical reasoning 1
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    Language: English
    Note: Includes bibliographical references and index. - Description based on print version record , Front Cover; Handbook of the Logic of Argument and Inference; Copyright Page; Contents; Preface; List of Authors; Chapter 1. Logic and The Practical Turn; Chapter 2. Standard Logics as Theories of Argument and Inference: Deduction; Chapter 3. Standard Logics as Theories of Argument and Inference: Induction; Chapter 4. Internal Critique: A Logic is not a Theory of Reasoning and a Theory of Reasoning is not a Logic; Chapter 5. Standard Logic as a Model of Reasoning: The Empirical Critique; Chapter 6. A Framework for Intersubjective Accountability: Dialogical Logic , Chapter 7. Interrogative LogicChapter 8. Informal Logic and the Reconfiguration of Logic; Chapter 9. Probability Logic; Chapter 10. Philosophical Incidence of Logic Programming; Chapter 11. Formal Approaches to Practical Reasoning: A Survey; Index;
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  • 4
    Keywords: Logic History ; Logic History ; Logic ; History ; Logica ; Electronic books ; Mathematische Logik ; Mathematik ; Geschichte
    Description / Table of Contents: With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this ...
    Type of Medium: Online Resource
    Pages: Online-Ressource (v. 〈1〉p) , ill , 25 cm
    Edition: 1st ed
    ISBN: 0444516115 , 9780444516114
    Series Statement: Handbook of the history of logic v. 3
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    Language: English
    Note: Includes bibliographical references and index , v. 1. Greek, Indian, and Arabic logic , With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this ... , Electronic reproduction; Mode of access: World Wide Web
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  • 5
    Keywords: Logic ; Logic ; Logic ; Electronic books ; Electronic books
    Description / Table of Contents: Agenda Relevance is the first volume in the authors' omnibus investigation of the logic of practical reasoning, under the collective title, A Practical Logic of Cognitive Systems. In this highly original approach, practical reasoning is identified as reasoning performed with comparatively few cognitive assets, including resources such as information, time and computational capacity. Unlike what is proposed in optimization models of human cognition, a practical reasoner lacks perfect information, boundless time and unconstrained access to computational complexity. The practical reasoner is therefore obliged to be a cognitive economizer and to achieve his cognitive ends with considerable efficiency. Accordingly, the practical reasoner avails himself of various scarce-resource compensation strategies. He also possesses neurocognitive traits that abet him in his reasoning tasks. Prominent among these is the practical agent's striking (though not perfect) adeptness at evading irrelevant information and staying on task. On the approach taken here, irrelevancies are impediments to the attainment of cognitive ends. Thus, in its most basic sense, relevant information is cognitively helpful information. Information can then be said to be relevant for a practical reasoner to the extent that it advances or closes some cognitive agenda of his. The book explores this idea with a conceptual detail and nuance not seen the standard semantic, probabilistic and pragmatic approaches to relevance; but wherever possible, the authors seek to integrate alternative conceptions rather than reject them outright. A further attraction of the agenda-relevance approach is the extent to which its principal conceptual findings lend themselves to technically sophisticated re-expression in formal models that marshal the resources of time and action logics and label led deductive systems. Agenda Relevance is necessary reading for researchers in logic, belief dynamics, computer science, AI, psychology and neuroscience, linguistics, argumentation theory, and legal reasoning and forensic science, and will repay study by graduate students and senior undergraduates in these same fields
    Type of Medium: Online Resource
    Pages: Online Ressource
    ISBN: 044451385X , 9780444513854
    Series Statement: A practical logic of cognitive systems v. 1
    Language: English
    Note: Includes bibliographical references and index. - Print version record
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  • 6
    Keywords: Logic ; Abduction (Logic) ; Abduction (Logic) ; Logic ; Abduction (Logic) ; Logic ; Abductie (logica) ; PHILOSOPHY ; Logic ; Electronic books ; Electronic books ; Abduktion ; Kognition ; Abduktion ; Kognition
    Description / Table of Contents: Acknowledgements. -- Preface. -- -- A Practical Logic of Cognitive Systems -- 1. Introduction -- 2. Practical Logic -- Conceptual Models of Abduction -- 3. The Structure of Abduction -- 4. Explanationist Abduction -- 5. Non-Plausibilistic Abduction -- 6. Diagnostic Abduction in AI -- 7. The Characteristic and the Plausible -- 8. Relevance and Analogy -- 9. Interpretation Abduction -- Formal Models of Abduction -- 10. A Glimpse of Formality -- 11. A General Theory of Logical Systems -- 12. A Base Logic -- 13. An Abductive Mechanism for the Base Logic -- Bibliography. -- Index
    Type of Medium: Online Resource
    Pages: Online-Ressource
    Edition: Elsevier e-book collection on ScienceDirect
    ISBN: 044451791X , 9780444517913
    Series Statement: A practical logic of cognitive systems v. 2
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    Language: English
    Note: Includes bibliographical references (p. 443-472) and index , Acknowledgements. -- Preface. -- -- A Practical Logic of Cognitive Systems -- 1. Introduction -- 2. Practical Logic -- Conceptual Models of Abduction -- 3. The Structure of Abduction -- 4. Explanationist Abduction -- 5. Non-Plausibilistic Abduction -- 6. Diagnostic Abduction in AI -- 7. The Characteristic and the Plausible -- 8. Relevance and Analogy -- 9. Interpretation Abduction -- Formal Models of Abduction -- 10. A Glimpse of Formality -- 11. A General Theory of Logical Systems -- 12. A Base Logic -- 13. An Abductive Mechanism for the Base Logic -- Bibliography. -- Index. , The present work is a continuation of the authors' acclaimed multi-volume A Practical Logic of Cognitive Systems. After having investigated the notion of relevance in their previous volume, Gabbay and Woods now turn to abduction. In this highly original approach, abduction is construed as ignorance-preserving inference, in which conjecture plays a pivotal role. Abduction is a response to a cognitive target that cannot be hit on the basis of what the agent currently knows. The abducer selects a hypothesis which were it true would enable the reasoner to attain his target. He concludes from this fact that the hypothesis may be conjectured. In allowing conjecture to stand in for the knowledge he fails to have, the abducer reveals himself to be a satisficer, since an abductive solution is not a solution from knowledge. Key to the authors' analysis is the requirement that a conjectured proposition is not just what a reasoner might allow himself to assume, but a proposition he must defeasibly release as a premiss for further inferences in the domain of enquiry in which the original abduction problem has arisen. The coverage of the book is extensive, from the philosophy of science to computer science and AI, from diagnostics to the law, from historical explanation to linguistic interpretation. One of the volume's strongest contributions is its exploration of the abductive character of criminal trials, with special attention given to the standard of proof beyond a reasonable doubt. Underlying their analysis of abductive reasoning is the authors' conception of practical agency. In this approach, practical agency is dominantly a matter of the comparative modesty of an agent's cognitive agendas, together with comparatively scant resources available for their advancement. Seen in these ways, abduction has a significantly practical character, precisely because it is a form of inference that satisfices rather than maximizes its response to the agent's cognitive target. The Reach of Abduction will be necessary reading for researchers, graduate students and senior undergraduates in logic, computer science, AI, belief dynamics, argumentation theory, cognitive psychology and neuroscience, linguistics, forensic science, legal reasoning and related areas. Key features: - Reach of Abduction is fully integrated with a background logic of cognitive systems. - The most extensive coverage compared to competitive works. - Demonstrates not only that abduction is a form of ignorance p ...
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  • 7
    Keywords: Logic design ; Logic, Symbolic and mathematical ; Computer science ; Database management ; Artificial intelligence ; Machine theory. ; Computer systems. ; Mathematical Logic and Formal Languages ; Computer Science ; Mathematical Logic and Foundations ; Logics and Meanings of Programs ; Artificial Intelligence (incl. Robotics) ; Database Management ; Konferenzschrift ; Aufsatzsammlung ; Temporale Logik
    Description / Table of Contents: Combining temporal specification techniques -- Global equivalence proofs for ISTL -- A real time process logic -- Sometimes “Tomorrow” is “Sometime” -- Applications of transaction logic to knowledge representation -- Circumscribing features and fluents -- Dealing with time granularity in a temporal planning system -- Axiomatizing U and S over integer time -- Temporal logic with reference pointers -- Completeness through flatness in two-dimensional temporal logic -- Efficient computation of nested fix-points, with applications to model checking -- How linear can branching-time be? -- First-order future interval logic -- Buy one, get one free !!! -- Back and forth through time and events -- Interpreting tense, aspect and time adverbials: A compositional, unified approach -- Synchronized histories in prior-thomason representation of branching time -- On the completeness of temporal database query languages -- The Abductive Event Calculus as a general framework for temporal databases -- A decision procedure for a temporal belief logic -- Decidability of deliberative stit theories with multiple agents -- Abduction in temporal reasoning -- A temporal logic approach to implementation and refinement in timed Petri nets -- A stuttering closed temporal logic for modular reasoning about concurrent programs -- A hierarchy of partial order temporal properties -- A graph-based approach to resolution in temporal logic -- Annotation-based deduction in temporal logic -- An overview of temporal and modal logic programming -- A survey of concurrent MetateM — The language and its applications -- Temporal query languages: A survey -- Improving temporal logic tableaux using integer constraints -- A system for automated deduction in graphical interval logic -- SCDBR: A reasoner for specifications in the situation calculus of database updates.
    Type of Medium: Online Resource
    Pages: Online-Ressource (XI, 545 S.)
    Edition: Online-Ausg. Berlin [u.a.] Springer 2006 Springer lecture notes archive
    ISBN: 9783540485858
    Series Statement: Lecture notes in computer science 827
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    Language: English
    Note: Literaturangaben
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  • 8
    Keywords: Logic History ; Mathematische Logik ; Mathematik ; Geschichte
    Type of Medium: Online Resource
    Pages: Online-Ressource , x, 716 p
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0444516255 , 9780444516251
    Language: English
    Note: Includes bibliographical references and index
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  • 9
    Online Resource
    Online Resource
    Amsterdam : Elsevier North Holland | Oxford : [Elsevier Science [distributor]
    Keywords: Logic History ; Mathematische Logik ; Geschichte
    Type of Medium: Online Resource
    Pages: Online-Ressource
    Edition: Elsevier e-book collection on ScienceDirect
    ISBN: 0444516220 , 9780444516220
    Series Statement: Handbook of the history of logic volume 7
    Language: English
    Note: Includes index
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  • 10
    E-Resource
    E-Resource
    Amsterdam : Elsevier
    Keywords: Wissenschaftstheorie ; Wissenschaftsphilosophie
    Type of Medium: Electronic Resource
    Edition: Online-Ausg. Amsterdam Elsevier Science & Technology Online-Ressource ScienceDirect
    Language: English
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