Philosophy: logic Books
Taylor & Francis Philosophy of Language
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Taylor & Francis Eudaimonic Ethics
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Taylor & Francis The Early Wittgenstein on Metaphysics Natural Science Language and Value
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Taylor & Francis Ltd The Routledge Companion to Thought Experiments
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Taylor & Francis Paradoxes of the Infinite Routledge Revivals
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Taylor & Francis The Philosophy of Mr Brtrnd Rssll With an Appendix of Leading Passages from Certain Other Works A Skit Routledge Library Editions Russell
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Taylor & Francis Ltd Deducibility and Decidability
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Taylor & Francis Ltd The Collected Papers of Bertrand Russell Volume 5
Book SynopsisThis volume of Bertrand Russell's Collected Papers finds Russell focused on writing Principia Mathematica during 1905â08. Eight previously unpublished papers shed light on his different versions of a substitutional theory of logic, with its elimination of classes and relations, during 1905-06. A recurring issue for him was whether a type hierarchy had to be part of a substitutional theory. In mid-1907 he began writing up the final version of Principia, now using a ramified theory of types, and eleven unpublished drafts from 1907-08 deal with this. Numerous letters show his thoughts on the process.The volume's 80-page introduction covers the evolution of his logic from 1896 until 1909, when volume I of Principia went to the printer.Trade Review"For logicians and metaphysicians curious about the evolution of Russell’s logic from The Principles of Mathematics (1903) to Principia Mathematica (1910), no volume of the Collected Papers of Bertrand Russell was more eagerly awaited than Volume 5. Moore’s editing of Russell’s dauntingly technical manuscripts has produced a wonderful resource." - Gregory Landini, History and Philosophy of Logic JournalTable of ContentsIntroduction Part 1: No-classes theories and substitutional theories 1905 – 06 1. The Theory of Implication [1905–06] 2. On Some Difficulties in the Theory of Transfinite Numbers and Order Types [1905–06] 3. Early Work on the Substitutional Theory [1905] 4. Developing the Substitutional Theory [1906–07] 5. Two Drafts on Substitution [1906] 6. A Paper Withdrawn from Publication [1906] 7. Logic in Which Propositions Are Not Entities [1906] 8. On the Functional Theory of Propositions, Classes and Relations [1906] 9. The Paradoxes of Logic [1906] 10. Multiplicative Axiom [1906] 11. The Paradox of the Liar [1906] 12. List of Propositions [1906] Part 2: Theories of Truth 1906 – 08 13. Two Reviews of Joachim [1906] 14. On the Nature of Truth [1907] 15. The Nature of Truth [1907] 16. William James’s Conception of Truth [1908] Part 3: From substitutional theories to the ramified theory of types 1906 – 08 17. Corrections Required in PresentWork [1906] 18. Early Drafts on the Theory of Types [1906–08] 19. Fundamentals [1907] 20. The RegressiveMethod of Discovering the Premises of Mathematics [1907] 21. "If" and "Imply", A Reply to Mr.MacColl [1908] 22. Mathematical Logic as Based on the Theory of Types [1908] 23. Partial Drafts of Principia Mathematica [c.1908] Part 4: Reviews on foundations of mathematics 24. M. Poincaré’s Science et hypothèse [1906] 25. Two Reviews of MacColl [1906] 26. Review of Pastore, Logica formale dedotta dalla considerazione di modelli meccanici [1906] 27. The Study of Logic [1906] 28. Two Reviews of Meinong [1906–07] 29. Mr. Haldane on Infinity [1908] Part 5: Other philosophical reviews and writings 30. Is Reason Irrational? [1906] 31. Metaphysics for the Man of Action [1907] 32. Spinoza’sMoral Code [1907] 33. Newton’s Philosophy [1908] 34. Determinism and Morals [1908] 35. Review of Essays, Philosophical and Psychological, in Honor of William James [1908] 36. A Reply to Dr. Schiller [1908] Appendices Index
£308.75
Taylor & Francis Ltd Faith and Logic Oxford Essays in Philosophical Theology Routledge Library Editions Philosophy of Religion
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£128.25
Taylor & Francis Traditions of Systems Theory
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£137.75
Taylor & Francis Platonism Naturalism and Mathematical Knowledge
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Taylor & Francis Frege and the Logic of Sense and Reference
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£128.25
Taylor & Francis From Truth to Reality
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Taylor & Francis Ltd The Laboratory of the Mind
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Taylor & Francis Ltd The Laboratory of the Mind
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Taylor & Francis Simple Formal Logic With CommonSense Symbolic Techniques
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£128.25
Taylor & Francis Ltd Logic And Declarative Language
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Taylor & Francis Ltd An Invitation to Formal Reasoning The Logic of Terms
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Taylor & Francis Spinoza Logic Knowledge and Religion
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Taylor & Francis Realism Science and Pragmatism Routledge Studies in Contemporary Philosophy
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Taylor & Francis Wittgenstein and the Limits of Language Routledge Studies in TwentiethCentury Philosophy
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Taylor & Francis Ltd Rationality In An Uncertain World Essays In The Cognitive Science Of Human Understanding
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Taylor & Francis Ltd Critical Views of Logic
Book SynopsisThis book examines positions that challenge the Fregean logic-first view. It raises criticalquestions 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 tranTable of ContentsIntroduction to “Critical Views of Logic” 1. Infinity and a Critical View of Logic 2. Dummett’s objection to the ontological route to intuitionistic logic: a rejoinder 3. The entanglement of logic and set theory, constructively 4. Critical Plural Logic 5. Kant on the possibilities of mathematics and the scope and limits of logic 6. The infinite, the indefinite and the critical turn: Kant via Kripke models 7. Husserl on Kant and the critical view of logic 8. Logical pluralism and normativity 9. Disagreement about logic
£128.25
Taylor & Francis Ltd On Constructive Interpretation of Predictive
Book SynopsisFirst published in 1990, this book consists of a detailed exposition of results of the theory of interpretation developed by G. Kreisel the relative impenetrability of which gives the elucidation contained here great value for anyone seeking to understand his work. It contains more complex versions of the information obtained by Kreisel for number theory and clustering around the no-counter-example interpretation, for number-theorectic forumulae provide in ramified analysis. It also proves the omega-consistency of ramified analysis. The author also presents proofs of Schütte's cut-elimination theorems which are based on his consistency proofs and essentially contain them these went further than any published work up to that point, helping to squeeze the maximum amount of information from these proofs.Table of ContentsPreface; Chapter I. Introduction; 1. Statement of the Problem 2. Systems Considered 3. Metamathematical Methods of Proof; Chapter II. Over-Simple Interpretations; 1. Trivial Interpretation 2. Failure of Interpretation by Recursive Satisfaction 3. Dependence of the Proof of the Verifiable Formula corresponding to a Theorem; Chapter III. Herbrand Interpretation; 1. The Concept of Herbrand Interpretation 2. Herbrand Interpretation of Elementary Number Theory without Induction 3. Properties of the Interpretation 4. Impossibility of an Herbrand Interpretation of Number Theory with Induction; Chapter IV. The No-Counter-Example Interpretation of Number Theory; 1. Non-constructive Considerations 2. No-Counter-Example Interpretation of Number Theory without Induction 3. No-Counter-Example Interpretation, 1*-Consistency, and External Consistency 4. Ordinal Recursive Functionals, 1*-Consistency of Number Theory with Induction 5. Representation of Ordinal Recursive Functionals in Elementary Number Theory; Chapter V. Ramified Analysis; 1. Description of Systems 2. Ramified Analysis without Induction 3. Recursive Well-orderings and Ordinal Recursive Functionals 4. Ramified Analysis with Induction 5. Representation of Ordinal Recursive Functionals in Ramified Analysis; Chapter VI. Ω-Consistency; 1. Critique of the Concept of ω-Consistency 2. Ω-Consistency, External Consistency, and 1*-Consistency 3. Ω-Consistency of Ramified Analysis; Appendix I. Arithmetization of Schütte’s Cut-elimination theorems; Appendix II. Ordinal Functions; Bibliography; Index of Definitions
£30.59
Taylor & Francis The Infinite
Book SynopsisWe are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantorâs remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and GÃdel, and deriving inspiration from Wittgenstein. He concludes this part with a disTrade ReviewPraise for previous editions'Moore provides a splendid guide through the intellectual history of this powerful and far-reaching idea ... [He] offers a fascinating consideration of the mystical aspects of infinity and the issues of human finitude and death ... very highly recommended for all readers.' - CHOICE'Moore's book provides us with an instructive and authoritative overview of a topic of considerable philosophical importance.' - Roger Penrose, Times Literary Supplement'Moore's book points to deep and unresolved issues in the philosophy of mathematics, and even deeper issues in general philosophy ... It deserves serious study by both mathematicians and philosophers.' - Thomas Tymoczko, Philosophia Mathematica'Moore's treatment of] the problems with which the history of thought about the infinite confronts us today ... shows that questions concerning the nature and existence of the infinite are still very much alive. [A] highly stimulating account of the nature of infinity and its bold defence of finitism.' - W. L. Craig, International Philosophical Quarterly'In the last three thought-provoking chapters of his book Moore draws heavily, but creatively on Kant and Wittgenstein. Moore presents an analysis and proposed resolution of the issues that are both stimulating and accessible.' - Mary Tiles, Times Higher Education SupplementPraise for previous editions'Moore provides a splendid guide through the intellectual history of this powerful and far-reaching idea ... [He] offers a fascinating consideration of the mystical aspects of infinity and the issues of human finitude and death ... very highly recommended for all readers.' - CHOICE'Moore's book provides us with an instructive and authoritative overview of a topic of considerable philosophical importance.' - Roger Penrose, Times Literary Supplement'Moore's book points to deep and unresolved issues in the philosophy of mathematics, and even deeper issues in general philosophy ... It deserves serious study by both mathematicians and philosophers.' - Thomas Tymoczko, Philosophia Mathematica'[Moore's treatment of] the problems with which the history of thought about the infinite confronts us today ... shows that questions concerning the nature and existence of the infinite are still very much alive. [A] highly stimulating account of the nature of infinity and its bold defence of finitism.' - W. L. Craig, International Philosophical Quarterly'In the last three thought-provoking chapters of his book Moore draws heavily, but creatively, on Kant and Wittgenstein. Moore presents an analysis and proposed resolution of the issues that are both stimulating and accessible.' - Mary Tiles, Times Higher Education SupplementTable of ContentsPart I: The History 1. Early Greek Thought 2. Aristotle 3. Medieval and Renaissance Thought 4. The Calculus 5. The Rationalists and the Empiricists 6. Kant 7. Post-Kantian Metaphysics of the Infinite 8. The Mathematics of the Infinite, and the Impact of Cantor 9. Reactions Part II: Infinity Assessed 10. Transfinite Mathematics 11. The Lowenheim–Skolem Theorem 12. Gödel’s Theorem 13. Saying and Showing 14. Infinity Assessed. The History Reassessed 15. Human Finitude Part III: Infinity Superseded 16. Infinity Reassessed. The History Reassessed Anew 17. Learning How to be Finite
£35.99
Taylor & Francis Ltd Modal Logics and Philosophy
Book SynopsisThe first edition, published by Acumen in 2000, became a prescribed textbook on modal logic courses. The second edition has been fully revised in response to readers' suggestions, including two new chapters on conditional logic, which was not covered in the first edition. "Modal Logics and Philosophy" is a fully comprehensive introduction to modal logics and their application suitable for course use. Unlike most modal logic textbooks, which are both forbidding mathematically and short on philosophical discussion, "Modal Logics and Philosophy" places its emphasis firmly on showing how useful modal logic can be as a tool for formal philosophical analysis. In part 1 of the book, the reader is introduced to some standard systems of modal logic and encouraged through a series of exercises to become proficient in manipulating these logics. The emphasis is on possible world semantics for modal logics and the semantic emphasis is carried into the formal method, Jeffrey-style truth-trees. Standard truth-trees are extended in a simple and transparent way to take possible worlds into account. Part 2 systematically explores the applications of modal logic to philosophical issues such as truth, time, processes, knowledge and belief, obligation and permission.Trade ReviewReviews of first edition: "This is an excellent book. Girle not only knows logic, he also knows how it ought to be taught in ways that students find accessible. In this book, we see the fruits of Girle's efforts in teaching modal logic to advanced philosophy students. The results bear all of the marks of Girle's distinctive style. It is accessible, packed full of interesting, useful examples, and just the right amount of detail necessary to illuminate the core ideas." - Greg Restall, Australasian Journal of Philosophy Rod Girle is the best logic teacher that I know. All those who want a non-technical introduction to modal logic and its applications will now be able to benefit from his outstanding pedagogic skills.A" - Graham Priest, Graduate Center, City University of New York and University of Melbourne "Modal Logics and Philosophy has the technical precision and rigour that is sometimes sacrificed to concern with philosophical logic. A book that will stand out amongst modal logic texts." - Bernard Linsky, University of AlbertaTable of ContentsPreface Acknowledgements 1. Argument and modality Part I Formal systems 2. A simple modal logic 3. The normal modal logics 4. The non-normal modal logics 5. Natural deduction and axiomatics 6. Conditional logic 7. Modal predicate logics 8. Quantifiers and existence Part II Applications 9. Alethic modality 10. Temporal logic 11. Dynamic logic 12. Epistemic logic 13. Deontic logic 14. Conditionals and reliability 15. Synthesis and worlds Answers Index
£130.00
Cambridge University Press Uncertain Inference
Uncertain Inference by Jr
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Cambridge University Press A Structuralist Theory of Logic
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Cambridge University Press Decisions and Revisions
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Cambridge University Press Theories of Vagueness Cambridge Studies in Philosophy
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Cambridge University Press Practical Rules When We Need Them and When We Dont Cambridge Studies in Philosophy
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Cambridge University Press Other Times
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Cambridge University Press The Structure of Values and Norms
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Cambridge University Press Equilibrium and Rationality
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Cambridge University Press Taking Chances
Book SynopsisIn this volume of essays Sobel explores the Bayesian idea that rational actions maximize expected values, where an action's expected value is a weighted average of its agent's values for its possible total outcomes.Trade Review"...there is a profound unity throughout the volume and the analysis is always first-rate....I sincerely hope that this book will be widely read..." Maurice Salles, Mathematical Reviews"Spotting a rational choice is sometimes mercifully easy. Read this book. I guarantee a hefty payoff. Taking a chance on Taking Chances is taking no chance at all." Mark Vorobej, Canadian Philosophical Review"Sobel is one of philosophy's leading experts on decision theory. How nice to have a collection of his contributions! These essays, mostly written during the last ten years, provide an excellent survey of current research in the field....Sobel's book is a cornucopia of insights about rational choice." EthicsTable of ContentsPreface; Part I. World Bayesianism: 1. Utility and the Bayesian paradigm; Part II. Problems for Evidential Decision Theory: 2. Newcomblike problems; 3. Not every prisoners' dilemma is a Newcomb problem; 4. Some versions of Newcomb's problem are prisoners' dilemmas; 5. Infallible predictors; 6. Kent Bach on good arguments; 7. Maximising and prospering; Part III. Causal Decision Theory: 8. Notes on decision theory: old wine in new bottles; 9. Partition theorems for causal decision theories; 10. Expected utilities and rational actions and choices; 11. Maximisation, stability of decision and actions in accordance with reason; 12. Useful intentions; Part IV. Interacting Causal Maximisers: 13. The need for coercion; 14. Hyperrational games; 15. Utility maximizers in iterated prisoners' dilemmas; 16. Backward induction arguments: a paradox regained; References; Index of names.
£46.54
Cambridge University Press For the Sake of the Argument
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£40.84
Cambridge University Press Free Logic
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£31.34
Cambridge University Press Relevant Logic
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Cambridge University Press Probability and Conditionals
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Cambridge University Press The Concept of Probability in Statistical Physics
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Cambridge University Press Causal Asymmetries
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Cambridge University Press Rationality and Dynamic Choice
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Cambridge University Press Structural Proof Theory
Book SynopsisStructural proof theory studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to structural proof theory and a work of research that will be of interest to specialists. A special feature is a downloadable computer program for developing proofs interactively.Trade Review"....The book makes significant original contributions while remaining accessible to the logician/philosopher/mathematician who wants to learn elementary proof theory...." Aldo Antonelli, University of California, IrvineTable of ContentsIntroduction; 1. From natural deduction to sequent calculus; 2. Sequent calculus for institutionistic logic; 3. Sequent calculus for classical logic; 4. The quantifiers; 5. Variants of sequent calculi; 6. Structural proof analysis of axiomatic theories; 7. Intermediate logical systems; 8. Back to natural deduction; Conclusion: diversity and unity in structural proof theory; Appendix A. Simple type theory and categorical grammar; Appendix B. Proof theory and constructive type theory; Appendix C. A proof editor for sequent calculus.
£37.99
Cambridge University Press Assertion and Conditionals
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Cambridge University Press Paradoxes of Belief and Strategic Rationality
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Cambridge University Press The Fixation of Belief and Its Undoing
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Cambridge University Press Computational Logic and Human Thinking How to be Artificially Intelligent
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Cambridge University Press Rational Action
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