Philosophy of mathematics Books
Taylor & Francis Principles of Mathematics
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£51.29
Taylor & Francis The Collected Papers of Bertrand Russell Volume 3
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£256.50
Taylor & Francis Philosophical Theories of Probability Philosophical Issues in Science
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£137.75
Taylor & Francis Philosophical Theories of Probability Philosophical Issues in Science
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£39.99
Taylor & Francis The Limits of Thought Discussions between J Krishnamurti and David Bohm
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£128.25
Taylor & Francis The Price Index and its Extension
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£199.50
Taylor & Francis Ltd Wittgenstein and the Turning Point in the Philosophy of Mathematics Routledge Library Editions Wittgenstein
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£285.00
Taylor & Francis The Analysis of Linear Economic Systems Father Maurice Potrons Pioneering Works 117 Routledge Studies in the History of Economics
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£137.75
Taylor & Francis Philosophy of Probability Contemporary Readings
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£137.75
Taylor & Francis Philosophy of Probability Contemporary Readings
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£39.99
Taylor & Francis Conceptual Roots of Mathematics International Library of Philosophy
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£51.29
Taylor & Francis Ltd Wittgenstein and the TurningPoint in the Philosophy of Mathematics
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£43.99
Taylor & Francis The Textual Genesis of Wittgensteins Philosophical Investigations
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£137.75
Taylor & Francis The Price Index and its Extension
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£43.99
Taylor & Francis The Meaning of the Concept of Probability in Application to Finite Sequences Routledge Revivals
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£45.59
Taylor & Francis The Meaning of the Concept of Probability in Application to Finite Sequences Routledge Revivals
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£32.99
Taylor & Francis The Analysis of Linear Economic Systems Father Maurice Potrons Pioneering Works
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£51.29
Taylor & Francis Mathematics and the Image of Reason
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£47.49
Taylor & Francis Fiction and Fictionalism New Problems of Philosophy
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£166.25
Taylor & Francis The Force of Argument
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£142.50
Taylor & Francis Ltd Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences
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£105.82
Taylor & Francis Properties Powers and Structures Issues in the Metaphysics of Realism 05 Routledge Studies in Metaphysics
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£137.75
Taylor & Francis The Routledge Handbook of the Philosophy and Psychology of Luck
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£204.25
Taylor & Francis Ltd Philosophy of Mathematics
Book SynopsisThe philosophy of mathematics is an exciting subject. Philosophy of Mathematics: Classic and Contemporary Studies explores the foundations of mathematical thought. The aim of this book is to encourage young mathematicians to think about the philosophical issues behind fundamental concepts and about different views on mathematical objects and mathematical knowledge.With this new approach, the author rekindles an interest in philosophical subjects surrounding the foundations of mathematics. He offers the mathematical motivations behind the topics under debate. He introduces various philosophical positions ranging from the classic views to more contemporary ones, including subjects which are more engaged with mathematical logic.Most books on philosophy of mathematics have little to no focus on the effects of philosophical views on mathematical practice, and no concern on giving crucial mathematical results and their philosophical relevance, conTrade Review"The philosophically minded mathematician will find every penny and every second engaged with this book well spent." - Firdous Ahmad Mala, The Mathematical IntelligencerTable of Contents1. Introduction 2. Mathematical Preliminaries 3. Platonism 4. Intuitionism 5. Logicism 6. Formalism 7. Gödel’s Incompleteness Theorem and Computability 8. The Church-Turing Thesis 9. Infinity 10. Supertasks 11. Models, Completeness, and Skolem’s Paradox 12. Axiom of Choice 13. Naturalism 14. Structuralism 15. Yablo’s Paradox 16. Mathematical Pluralism 17. Does Mathematics Need More Axioms? 18. Mathematical Nominalism
£80.74
Taylor & Francis Ltd Miracles Mystics Mathematicians
Book SynopsisMiracles, Mystics, Mathematicians: Searching for Deep Reality focuses on the lives and writings of some of historyâs most influential mathematicians and the impact that their mystical beliefs had on their lives and on their mathematical work. Modern biographers often cleanse the lives of renowned scientists of any hint of mysticism or occultism. Such threads are sometimes regarded as relics of the superstitious past; flaws that need to be hushed up, marginalized, or reinterpreted. This book represents a minor attempt to push back against this tendency and to examine these aspects of the history of mathematics with seriousness and intellectual curiosity.Features A breadth of scope covering many centuries Suitable for anyone interested in mathematics, history, philosophy, paranormal phenomena, psi-research, mysticism, or in any combination of the above An almost unique account of known histories, examined from a new vantage point Sasho Kalajdzievski is a Senior Scholar in the Department of Mathematics at the University of Manitoba.Table of ContentsChapter 1. On Defining Mystics, Miracles, and Mathematicians. Chapter 2. From Mathematics to Mysticism and Back. Chapter 3. Alexander Grothendieck: the Man Who Searched. Chapter 3. Kurt Gödel: The Man Who Proved. Chapter 4. Alan Turing and the ‘Joke’. Chapter 5. A Gallery of Mystics and Mathematicians: First Digest. Chapter 6. The Many Lives of Bertus Brouwer. Chapter 7. Srinivasa Ramanujan. Chapter 8. Augustus De Morgan and His Wife Sophia. Chapter 9. Leibniz and Newton. Chapter 10. The Multitalented Blaise Pascal. Chapter 11. René Descartes: The Philosopher and the Warrior. Chapter 12. Cardano: The Psychic Mystic. Chapter 13. A Gallery of Mystics and Mathematicians: First Digest. Chapter 14. The Great Pythagoras.
£45.99
Taylor & Francis Ltd An Essay on the Foundations of Geometry
Book SynopsisAn Essay on the Foundations of Geometry was first published in 1897 when Bertrand Russell was 25 years old. It marks his first major foray into analytic philosophy, a movement in which Russell is one of the founding members and figurehead. It provides a brilliant insight into Russell''s early philosophical thought and an engaging and authoritative introduction to the philosophical and logical foundations of geometry - a version of which was fundamental to Einstein''s theory of relativity.Russell explores and introduces the concepts of geometry and their philosophical implications, including a historical overview of geometrical theory, making it an invaluable resource not only for students of philosophy but anyone interested in the origins of the thought of one of the twentieth century''s most important and widely-read philosophers.This Routledge Classics edition includes a new Foreword by Michael Potter.Table of ContentsForeword to the Routledge Classics Edition Michael Potter, Preface, Introduction: Our Problem Defined by its Relations to Logic, Psychology and Mathematics, 1. A Short History of Metageometry, 2. Critical Account of Some Previous Philosophical Theories of Geometry, 3. The Axioms of Projective Geometry and The Axioms of Metrical Geometry, 4. Philosophical Consequences, Index
£21.05
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 Ltd Introduction to Abstract Algebra Third Edition
Book SynopsisThe first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.Table of ContentsChapter One SETS AND LOGIC -- 1. Some very general remarks -- 2. Introductory remarks on sets -- 3. Statements and conditions; quantifiers -- 4. The implies sign () -- 5. Proof by contradiction -- 6. Subsets -- 7. Unions and intersections -- 8. Cartesian product of sets -- EXERCISES -- Chapter Two SOME PROPERTIES OF -- 9. Introduction -- 10. The well-ordering principle -- I I. The division algorithm -- 12. Highest common factors and Euclid’s algorithm -- 13. The fundamental theorem of arithmetic -- 14. Congruence modulo m (mE f4J) -- EXERCISES -- Chapter Three EQUIVALENCE RELATIONS AND EQUIVALENCE CLASSES -- 15. Relations in general -- 16. Equivalence relations -- 17. Equivalence classes -- 18. Congruence classes -- 19. Properties of l,, as an algebraic system -- EXERCISES -- Chapter Four MAPPINGS -- 20. Introduction -- 21. The image of a subset of the domain; surjcctions -- 22. Injections; bijections; inverse of a bijection -- 23. Restriction of a mapping -- 24. Composition of mappings -- 25. Some further results and examples on mappings -- EXERCISES -- Chapter Five SEMIGROUPS -- 26. Introduction -- 27. Binary operations -- 28. Associativity and commutativity -- 29. Semigroups: definition and examples -- 30. Powers of an element in a semigroup -- 31. Identity elements and inverses -- 32. Subsemigroups -- EXERCISES -- Chapter Six AN INTRODUCTION TO GROUPS -- 33. The definition of a group -- 34. Examples of groups -- 35. Elementary consequences of the group axioms -- 36. Subgroups -- 37. Some important general examples of subgroups -- 38. Period of an element -- 39. Cyclic groups -- EXERCISES -- Chapter Seven COSETS AND LAGRANGE’S THEOREM ON FINITE GROUPS -- 40. Introduction -- 41. Multiplication of subsets of a group -- 42. Another approach to cosets -- 43. Lagrange’s theorem -- 44. Some consequences of Lagrange’s theorem -- EXERCISES -- Chapter Eight HOMOMORPHISMS, NORMAL SUBGROUPS, AND QUOTIENT GROUPS -- 45. Introduction -- 46. Isomorphic groups -- 47. Homomorphisms and their elementary properties -- 48. Conjugacy -- 49. Normal subgroups -- 50. Quotient groups -- 51. The quotient group G/Z -- 52. The first isomorphism theorem -- EXERCISES -- Chapter Nine THE SYMMETRIC GROUP S -- 53. Introduction -- 54. Cycles -- 55. Products of disjoint cycles -- 56. Periods of elements of Sft -- 57. Conjugacy in S1 -- 58. Arrangement of the objects 1,2,...,n -- 59. The alternating character, and alternating groups -- 60. The simplicity of A5 -- EXERCISES -- Chapter Ten THE FUNDAMENTALS OF RING THEORY -- 61. Introduction -- 62. The definition of a ring and its elementary consequences -- 63. Special types of ring and ring elements -- 64. Subrings and subtIelds -- 65. Ring homomorphisms -- 66. Ideals -- 67. Principal ideals in a commutative ring with a one -- 68. Factor rings -- 69. Characteristic of an integral domain or field -- 70. The field of fractions of an integral domain -- EXERCISES -- Chapter Eleven POLYNOMIALS AND FIELDS -- 71. Introduction -- 72. Polynomial rings -- 73. Some properties of F[X], where F is a field -- 74 Generalities on factorization -- 75. Further properties of F[XJ, where F is a field -- 76. Some matters of notation -- 77. Minimal polynomials and the structure of F(c) -- 78. Some elementary properties of finite fields -- 79. Construction of fields by root adjunction -- 80. Degrees of field extensions -- 81. Epilogue -- EXERCISES -- BIBLIOGRAPHY -- APPENDIX TO EXERCISES -- INDEX.
£171.00
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
Cambridge University Press Between Logic and Intuition
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£40.84
Cambridge University Press The Logic of Concept Expansion
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£36.09
Cambridge University Press Information Flow The Logic of Distributed Systems 44 Cambridge Tracts in Theoretical Computer Science Series Number 44
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£51.29
Cambridge University Press The Dynamics of Norms
Book SynopsisThis 'state-of-the-art' collection of essays presents some of the best contemporary research into the dynamical processes underlying the formation, maintenance, metamorphosis and dissolution of norms. The volume combines formal modelling with more traditional analysis.Table of Contents1. The evolution of strategies in the iterated prisoner's dilemma Robert Axelrod; 2. Learning to co-operate Cristina Bicchieri; 3. On the dynamics of social norms Pier Luigi Sacco; 4. Learning and efficiency in common interest signalling games David Canning; 5. Learning on a Torus Luca Anderlini and Antonella Ianni; 6. Evolutive vs. naive Bayesian learning Immanuel M. Bomze and Jurgen Eichberger; 7. Learning and mixed strategy equilibria in evolutionary games Vincent P. Crawford; 8. Bayesian learning in games: a non-Bayesian perspective J. S. Jordan; 9. Savage-Bayesian agents play a repeated game Yaw Nyarko; 10. Chaos and the explanatory significance of equilibrium: strange attractors in evolutionary game theory Brian Skyrms.
£29.44
Cambridge University Press The Works of Archimedes
Book SynopsisThis is Volume I of the first authoritative translation of Archimedes' works into English. Also provided are a scientific edition of the diagrams, a translation of the ancient commentator Eutocius and a commentary, where attention is paid to the cognitive and aesthetic nature of Archimedes' mathematical practice.Trade ReviewReview of the hardback: ' … this translation is certainly an event of great importance concerning the edition of ancient Greek mathematics. the forthcoming volumes are awaited with impatience!' Zentralblatt MATHTable of ContentsIntroduction; Translation and Commentary: On Sphere and Cylinder Book I; On Sphere and Cylinder Book II; Eutocius' Commentary to On Sphere and Cylinder Book I; Eutocius' Commentary to On Sphere and Cylinder Book II; Bibliography; Index.
£39.99
Cambridge University Press Phenomenology Logic and the Philosophy of Mathematics
Book SynopsisPhenomenology, Logic, and the Philosophy of Mathematics, first published in 2005, is about logic, mathematical knowledge and mathematical objects. It is concerned with the role of reason and intuition in the exact sciences and it analyzes many of the central positions in the philosophy of logic and philosophy of mathematics: platonism, nominalism, intuitionism, formalism, pragmatism, and others.Table of ContentsPart I. Reason, Science, and Mathematics: 1. Science as a triumph of the human spirit and science in crisis: Husserl and the Fortunes of Reason; 2. Mathematics and transcendental phenomenology; Part II. Kurt Godel, Phenomenology and the Philosophy of Mathematics: 3. Kurt Godel and phenomenology; 4. Godel's philosophical remarks on mathematics and logic; 5. Godel's path from the incompleteness theorems (1931) to Phenomenology (1961); 6. Godel and the intuition of concepts; 7. Godel and Quine on meaning and mathematics; 8. Maddy on realism in mathematics; 9. Penrose and the view that minds are not machines; Part III. Constructivism, Fulfilled Intentions, and Origins: 10. Intuitionism, meaning theory and cognition; 11. The philosophical background of Weyl's mathematical constructivism; 12. What is a proof?; 13. Phenomenology and mathematical knowledge; 14. Logicism, impredicativity, formalism; 15. The philosophy of arithmetic: Frege and Husserl.
£42.74
Cambridge University Press Thinking as Communicating
Book SynopsisThis book looks to change our thinking about thinking by looking at communication and cognition (commognition). The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.Trade Review'Sfard has provided us with one of the most impressive, unified, homogenous theories of learning …' Computer-Supported Collaborative LearningTable of ContentsIntroduction; Part I. Discourse on Thinking: 1. Puzzling about (mathematical) thinking; 2. Objectification; 3. Commognition: thinking as communicating; 4. Thinking in language; Part II. Mathematics as Discourse: 5. Mathematics as a form of communication; 6. Objects of mathematical discourse: what mathematizing is all about; 7. Routines: how we mathematize; 8. Explorations, deeds, and rituals: what we mathematize for; 9. Looking back and ahead: solving old quandaries and facing new ones.
£35.14
Cambridge University Press Archytas of Tarentum
Book SynopsisIn fourth-century Greece Archytas of Tarentum solved a famous mathematical puzzle, saved Plato from the tyrant of Syracuse and led a powerful Greek city state. This 2005 book presents an interpretation of his significance for fourth-century Greek thought and provides a full commentary on all the fragments and testimonia.Trade ReviewReview of the hardback: 'Huffman's book offers expert discussion of a variety of difficult topics … a much needed and authoritative commentary … Lucid argued, helpfully organised, and impressive in its scholarship, this book sets a high standard indeed … a rich volume of over 600 pages … there is much of real value here … a detailed and scholarly treatment of dauntingly difficulty material. Scholars owe Huffman a debt for undertaking this task, and executing it with such authority. It is a work to emulate'. Sylvia Berryman, The University of British ColumbiaReview of the hardback: 'We have here another blockbuster offering from Carl Huffman who has already put us in his debt by a definite study of Philolaus. This work will serve in turn to establish Archytas as a philosopher in his own right, and not simply a footnote to Pythagoras, as has all too often been the case hitherto.' Bryn Mawr Classical ReviewTable of ContentsPart I. Introductory Essays: 1. Life, writings and reception; 2. The philosophy of Archytas; 3. The authenticity question; Part II. Genuine Fragments: 1. Fragment 1; 2. Fragment 2; 3. Fragment 3; 4. Fragment 4; Part III: Genuine Testimonia: 1. Life and writings (A1–A6, B5–B8); 2. Moral philosophy and character; 3. Geometry: the duplication of the cube (A14 and A15); 4. Music; 5. Metaphysics; 6. Physics; 7. Miscellaneous testimonia; Appendix: Spurious writings and testimonia; Appendix: Archytas' name.
£38.52
Cambridge University Press Street Mathematics and School Mathematics Learning in Doing Social Cognitive and Computational Perspectives
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£37.04
Cambridge University Press Metaphysical Myths Mathematical Practice The Ontology and Epistemology of the Exact Sciences
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£75.00
Cambridge University Press Symmetry and its Discontents
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£71.25
Cambridge University Press Symmetry and its Discontents
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£28.99
Cambridge University Press Descartes on Forms and Mechanisms
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£54.15
Cambridge University Press An Introduction to the Philosophy of
Book SynopsisTopics covered include the realism/anti-realism debate in mathematics, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Intended as a primary text for an introductory undergraduate course in the philosophy of mathematics.Trade Review'The present book is like a warm breeze after a cold winter in the rarefied atmosphere of the philosophy of mathematics … the philosophical discussions are always clear, provocative and stimulating. One of the challenges an instructor will face by adopting this book will undoubtedly be to contain the desire of students to discuss in depth some of the issues presented and to curb their enthusiasm and desire to know more or find answers to the questions.' Mathematical ReviewsTable of Contents1. Mathematics and its philosophy; 2. The limits of mathematics; 3. Plato's heaven; 4. Fiction, metaphor, and partial truths; 5. Mathematical explanation; 6. The applicability of mathematics; 7. Who's afraid of inconsistent mathematics?; 8. A rose by any other name; 9. Epilogue: desert island theorems.
£27.99
Cambridge University Press Logic Induction and Sets London Mathematical Society Student Texts
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£38.94
Cambridge University Press Belief Revision 29 Cambridge Tracts in Theoretical Computer Science Series Number 29
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£59.22
Cambridge University Press Information Flow The Logic of Distributed Systems 44 Cambridge Tracts in Theoretical Computer Science Series Number 44
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£62.69
Cambridge University Press The Cambridge Companion to Frege
Book SynopsisGottlob Frege (18481925) was unquestionably one of the most important philosophers of all time. He trained as a mathematician, and his work in philosophy started as an attempt to provide an explanation of the truths of arithmetic, but in the course of this attempt he not only founded modern logic but also had to address fundamental questions in the philosophy of language and philosophical logic. Frege is generally seen (along with Russell and Wittgenstein) as one of the fathers of the analytic method, which dominated philosophy in English-speaking countries for most of the twentieth century. His work is studied today not just for its historical importance but also because many of his ideas are still seen as relevant to current debates in the philosophies of logic, language, mathematics and the mind. The Cambridge Companion to Frege provides a route into this lively area of research.Trade Review'Central to this end were Frege's insights on quantification, the notation that expressed it, the logicist project, and the extension of mathematical notions like function and argument to natural language. The long-awaited Cambridge Companion to Frege is a compendium of Fregean scholarship that rigorously explores these and similar topics; editors Thomas Ricketts and Michael Potter have compiled a comprehensive collection of fourteen essays that individually provide focused appraisals of a number of Frege's most substantial insights.' Alexander Bozzo, University of Milwaukee'The long-awaited publication of The Cambridge Companion to Frege is a major event in Frege scholarship … Every serious reader of Frege should read it.' Notre Dame Philosophical Reviews (ndpr.nd.edu)Table of ContentsPreface; Note on translations; Chronology; 1. Introduction Michael Potter; 2. Understanding Frege's project Joan Weiner; 3. Frege's conception of logic Warren Goldfarb; 4. Dummett's Frege Peter Sullivan; 5. What is a predicate? Alex Oliver; 6. Concepts, objects, and the context principle Thomas Ricketts; 7. Sense and reference Michael Kremer; 8. On sense and reference: a critical reception William Taschek; 9. Frege and semantics Richard Heck; 10. Frege's mathematical setting Mark Wilson; 11. Frege and Hilbert Michael Hallett; 12. Frege's folly Peter Milne; 13. Frege and Russell Peter Hylton; 14. Inheriting from Frege: the work of reception, as Wittgenstein did it Cora Diamond.
£98.15
Cambridge University Press The Cambridge Companion to Frege Cambridge Companions to Philosophy
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£33.24