Search results for 'Logic, Symbolic and mathematical Study and teaching' (try it on Scholar)

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  1. Despina A. Stylianou, Maria L. Blanton & Eric J. Knuth (eds.) (2009). Teaching and Learning Proof Across the Grades: A K-16 Perspective. Routledge.score: 852.0
    Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help ...
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  2. Zoltan P. Dienes (1966). Learning Logic, Logical Games. [New York]Herder and Herder.score: 837.0
     
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  3. Xinli Wang (2009). Symbolic Logic Study Guide. University Readers.score: 828.0
    The Symbolic Logic Study Guide is designed to accompany the widely used symbolic logic textbook Language, Proof and Logic (LPL), by Jon Barwise and John Etchemendy (CSLI Publications 2003). The guide has two parts. The first part contains condensed, essential lecture notes, which streamline and systematize the first fourteen chapters of the book into seven teaching sections, and thus provide a clear, well-designed roadmap for the understanding of the text. The second part consists of twelve sample (...)
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  4. Maurice Joseph Burke (ed.) (2008). Navigating Through Reasoning and Proof in Grades 9-12. National Council of Teachers of Mathematics.score: 762.0
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  5. Ian Chiswell (2007). Mathematical Logic. Oxford University Press.score: 621.6
    Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of (...)
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  6. Stephen Cole Kleene (1967/2002). Mathematical Logic. Dover Publications.score: 601.6
    Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text by one of the centuries greatest authorities on the subject. Part I offers an elementary but thorough overview of mathematical logic of first order. The treatment does not stop with a single method of formulating logic; students receive instruction in a variety of techniques, first learning model theory (truth tables), then Hilbert-type proof theory, and proof theory handled through derived rules. Part (...)
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  7. G. T. Kneebone (1963/2001). Mathematical Logic and the Foundations of Mathematics: An Introductory Survey. Dover.score: 601.6
    Graduate-level historical study is ideal for students intending to specialize in the topic, as well as those who only need a general treatment. Part I discusses traditional and symbolic logic. Part II explores the foundations of mathematics, emphasizing Hilbert’s metamathematics. Part III focuses on the philosophy of mathematics. Each chapter has extensive supplementary notes; a detailed appendix charts modern developments.
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  8. Graeme Forbes (1994). Modern Logic: A Text in Elementary Symbolic Logic. Oxford University Press.score: 601.6
    Filling the need for an accessible, carefully structured introductory text in symbolic logic, Modern Logic has many features designed to improve students' comprehension of the subject, including a proof system that is the same as the award-winning computer program MacLogic, and a special appendix that shows how to use MacLogic as a teaching aid. There are graded exercises at the end of each chapter--more than 900 in all--with selected answers at the end of the book. Unlike competing texts, (...)
     
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  9. Ann M. Singleterry (1967). Review: Patrick Suppes, Mathematical Logic for the Schools; Patrick Suppes, Frederick Binford, Experimental Teaching of Mathematical Logic in the Elementary School. [REVIEW] Journal of Symbolic Logic 32 (3):422-422.score: 588.0
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  10. Heinz-Dieter Ebbinghaus (1996). Mathematical Logic. Springer.score: 573.6
    This junior/senior level text is devoted to a study of first-order logic and its role in the foundations of mathematics: What is a proof? How can a proof be justified? To what extent can a proof be made a purely mechanical procedure? How much faith can we have in a proof that is so complex that no one can follow it through in a lifetime? The first substantial answers to these questions have only been obtained in this century. The (...)
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  11. M. Ben-Ari (1993/2003). Mathematical Logic for Computer Science. Prentice Hall.score: 573.6
    Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. To provide a balanced treatment of logic, tableaux are related to deductive proof systems.The logical systems presented are:- Propositional calculus (including binary decision diagrams);- Predicate calculus;- Resolution;- Hoare logic;- (...)
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  12. J. L. Bell (1977). A Course in Mathematical Logic. Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..score: 573.6
    A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.
     
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  13. Walter Carnielli (1986). Seventh Latin American on Mathematical Logic- Meeting of the Association for Symbolic Logic: Campinas, Brazil, 1985. Journal of Symbolic Logic 51 (4):1093-1103.score: 522.0
    This publication refers to the proceedings of the Seventh Latin American on Mathematical Logic held in Campinas, SP, Brazil, from July 29 to August 2, 1985. The event, dedicated to the memory of Ayda I. Arruda, was sponsored as an official Meeting of the Association for Symbolic Logic. Walter Carnielli. -/- The Journal of Symbolic Logic Vol. 51, No. 4 (Dec., 1986), pp. 1093-1103.
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  14. Herbert B. Enderton (1972). A Mathematical Introduction to Logic. New York,Academic Press.score: 488.0
    A Mathematical Introduction to Logic, Second Edition, offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, (...)
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  15. Stanisław J. Surma (ed.) (1973). Studies in the History of Mathematical Logic. Wrocław,Zakład Narodowy Im. Ossolinskich.score: 488.0
  16. Johanna N. Y. Franklin (forthcoming). Reviewed Work(S): Lowness Properties and Randomness. Advances in Mathematics, Vol. 197 by André Nies; Lowness for the Class of Schnorr Random Reals. SIAM Journal on Computing, Vol. 35 by Bjørn Kjos-Hanssen; André Nies; Frank Stephan; Lowness for Kurtz Randomness. The Journal of Symbolic Logic, Vol. 74 by Noam Greenberg; Joseph S. Miller; Randomness and Lowness Notions Via Open Covers. Annals of Pure and Applied Logic, Vol. 163 by Laurent Bienvenu; Joseph S. Miller; Relativizations of Randomness and Genericity Notions. The Bulletin of the London Mathematical Society, Vol. 43 by Johanna N. Y. Franklin; Frank Stephan; Liang Yu; Randomness Notions and Partial Relativization. Israel Journal of Mathematics, Vol. 191 by George Barmpalias; Joseph S. Miller; André Nies. [REVIEW] Association for Symbolic Logic: The Bulletin of Symbolic Logic.score: 477.0
    Review by: Johanna N. Y. Franklin The Bulletin of Symbolic Logic, Volume 19, Issue 1, Page 115-118, March 2013.
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  17. Aleksy Mołczanow (2012). Quantification: Transcending Beyond Frege's Boundaries: A Case Study in Transcendental-Metaphysical Logic. Brill.score: 465.6
    Drawing on the original conception of Kant’s synthetic a priori and the relevant related developments in philosophy, this book presents a reconstruction of the intellectual history of the conception of quantity and offers an entirely ...
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  18. Carl G. Hempel (1956). Review: John R. Gregg, The Language of Taxonomy. An Application of Symbolic Logic to the Study of Classificatory Systems. [REVIEW] Journal of Symbolic Logic 21 (4):396-397.score: 459.0
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  19. J. P. Cleave (1991). A Study of Logics. Oxford University Press.score: 453.6
    It is a fact of modern scientific thought that there is an enormous variety of logical systems - such as classical logic, intuitionist logic, temporal logic, and Hoare logic, to name but a few - which have originated in the areas of mathematical logic and computer science. In this book the author presents a systematic study of this rich harvest of logics via Tarski's well-known axiomatization of the notion of logical consequence. New and sometimes unorthodox treatments are given (...)
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  20. Randall R. Dipert (1992). Review: A. T. Shearman, The Development of Symbolic Logic. A Critical-Historical Study of the Logical Calculus. [REVIEW] Journal of Symbolic Logic 57 (4):1485-1487.score: 441.0
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  21. G. Sabbagh (1994). Conference on Mathematical Logic: Co-Sponsored by the Association for Symbolic Logic, Pasris, 1992. Journal of Symbolic Logic 59 (1):345.score: 441.0
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  22. James W. Cummings (2000). Apter Arthur W.. On the Least Strongly Compact Cardinal. Israel Journal of Mathematics, Vol. 35 (1980), Pp. 225–233. Apter Arthur W.. Measurability and Degrees of Strong Compactness. The Journal of Symbolic Logic, Vol. 46 (1981), Pp. 249–254. Apter Arthur W.. A Note on Strong Compactness and Supercompactness. Bulletin of the London Mathematical Society, Vol. 23 (1991), Pp. 113–115. Apter Arthur W.. On the First N Strongly Compact Cardinals. Proceedings of the American Mathematical Society, Vol. 123 ... [REVIEW] Bulletin of Symbolic Logic 6 (1):86-89.score: 441.0
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  23. Howard S. Becker (2002). Jackson Steve. A New Proof of the Strong Partition Relation on Ω1. Transactions of the American Mathematical Society, Vol. 320 (1990), Pp. 737–745. Jackson Steve. Admissible Suslin Cardinals in L (R). The Journal of Symbolic Logic, Vol. 56 (1991), Pp. 260–275. Jackson Steve. A Computation Of. Memoirs of the American Mathematical Society, No. 670. American Mathematical Society, Providence 1999, Viii+ 94 Pp. [REVIEW] Bulletin of Symbolic Logic 8 (4):546-548.score: 441.0
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  24. Andrea Cantini (2002). Strahm Thomas. First Steps Into Metapredicativity in Explicit Mathematics. Sets and Proofs, Invited Papers From Logic Colloquium'97—European Meeting of the Association for Symbolic Logic, Leeds, July 1997, Edited by Cooper S. Barry and Truss John K., London Mathematical Society Lecture Note Series, No. 258, Cambridge University Press, Cambridge, New York, and Oakleigh, Victoria, 1999, Pp. 383–402. [REVIEW] Bulletin of Symbolic Logic 8 (4):535-536.score: 441.0
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  25. Fernando Ferreira (2002). Strahm Thomas. Polynomial Time Operations in Explicit Mathematics. The Journal of Symbolic Logic, Vol. 62 (1997), Pp. 575–594. Cantini Andrea. Feasible Operations and Applicative Theories Based on Λη. Mathematical Logic Quarterly, Vol. 46 (2000), Pp. 291–312. [REVIEW] Bulletin of Symbolic Logic 8 (4):534-535.score: 441.0
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  26. Leon Henkin (1965). Review: Evert W. Beth, Formal Methods. An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic. [REVIEW] Journal of Symbolic Logic 30 (2):235-236.score: 441.0
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  27. Robert McNaughton (1997). Robinson Raphael M.. Restricted Set-Theoretical Definitions in Arithmetic. Proceedings of the American Mathematical Society, Vol. 9 (1958), Pp. 238–242. Robinson Raphael M.. Restricted Set-Theoretical Definitions in Arithmetic. Summaries of Talks Presented at the Summer Institute for Symbolic Logic, Cornell University, 1957, 2nd Edn., Communications Research Division, Institute for Defense Analyses, Princeton, NJ, 1960, Pp. 139–140. [REVIEW] Journal of Symbolic Logic 31 (4):659-660.score: 441.0
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  28. José Ferreirós (2010). La lógica matemática: una disciplina en busca de encuadre (Mathematical Logic). Theoria 25 (3):279-299.score: 432.0
    RESUMEN: Se ofrece un análisis de las transformaciones disciplinares que ha experimentado la lógica matemática o simbólica desde su surgimiento a fines del siglo XIX. Examinaremos sus orígenes como un híbrido de filosofía y matemáticas, su madurez e institucionalización bajo la rúbrica de “lógica y fundamentos”, una segunda ola de institucionalización durante la Posguerra, y los desarrollos institucionales desde 1975 en conexión con las ciencias de la computación y con el estudio de lenguaje e informática. Aunque se comenta algo de (...)
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  29. Michał Walicki (2012). Introduction to Mathematical Logic. World Scientific.score: 430.2
    A history of logic -- Patterns of reasoning -- A language and its meaning -- A symbolic language -- 1850-1950 mathematical logic -- Modern symbolic logic -- Elements of set theory -- Sets, functions, relations -- Induction -- Turning machines -- Computability and decidability -- Propositional logic -- Syntax and proof systems -- Semantics of PL -- Soundness and completeness -- First order logic -- Syntax and proof systems of FOL -- Semantics of FOL -- More semantics (...)
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  30. S. B. Cooper & J. K. Truss (eds.) (1999). Models and Computability: Invited Papers From Logic Colloquium '97, European Meeting of the Association for Symbolic Logic, Leeds, July 1997. Cambridge University Press.score: 430.2
    Together, Models and Computability and its sister volume Sets and Proofs will provide readers with a comprehensive guide to the current state of mathematical logic. All the authors are leaders in their fields and are drawn from the invited speakers at 'Logic Colloquium '97' (the major international meeting of the Association of Symbolic Logic). It is expected that the breadth and timeliness of these two volumes will prove an invaluable and unique resource for specialists, post-graduate researchers, and the (...)
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  31. S. W. P. Steen (1972). Mathematical Logic with Special Reference to the Natural Numbers. Cambridge [Eng.]University Press.score: 430.2
    This book presents a comprehensive treatment of basic mathematical logic. The author's aim is to make exact the vague, intuitive notions of natural number, preciseness, and correctness, and to invent a method whereby these notions can be communicated to others and stored in the memory. He adopts a symbolic language in which ideas about natural numbers can be stated precisely and meaningfully, and then investigates the properties and limitations of this language. The treatment of mathematical concepts in (...)
     
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  32. Robert Feys (1969). Dictionary of Symbols of Mathematical Logic. Amsterdam, North-Holland Pub. Co..score: 424.2
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  33. A. C. Leisenring (1969). Mathematical Logic and Hilbert's & Symbol. London, Macdonald Technical & Scientific.score: 424.2
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  34. Robert Tubbs (2009). What is a Number?: Mathematical Concepts and Their Origins. Johns Hopkins University Press.score: 421.6
    Mathematics often seems incomprehensible, a melee of strange symbols thrown down on a page. But while formulae, theorems, and proofs can involve highly complex concepts, the math becomes transparent when viewed as part of a bigger picture. What Is a Number? provides that picture. Robert Tubbs examines how mathematical concepts like number, geometric truth, infinity, and proof have been employed by artists, theologians, philosophers, writers, and cosmologists from ancient times to the modern era. Looking at a broad range of (...)
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  35. Stewart Shapiro (ed.) (2005). The Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press.score: 418.4
    Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these (...)
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  36. Ludwik Borkowski & Jerzy Słupecki (1958). A Logical System Based on Rules and its Application in Teaching Mathematical Logic. Studia Logica 7 (1):71 - 113.score: 405.0
  37. Alan Rose (1966). Review of E. W Beth, Formal Methods. An Introduction to Symbolic Logic and to the Study of Effective Operations in Arithmetic and Logic. [REVIEW] Philosophy of Science 33 (1/2):84-85.score: 405.0
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  38. Milton L. Bierman (1976). A Pilot Study in the Teaching of Logic Research Conclusions. Metaphilosophy 7 (1):34–39.score: 405.0
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  39. Imre Lakatos (1976). Proofs and Refutations: The Logic of Mathematical Discovery. Cambridge University Press.score: 403.2
    Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or (...)
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  40. Rudolf Carnap (1958). Introduction to Symbolic Logic and its Applications. New York, Dover Publications.score: 400.2
    Clear, comprehensive, intermediate introduction to logical languages, applications of symbolic logic to physics, mathematics, biology.
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  41. Costas Dimitracopoulos (ed.) (2008). Logic Colloquium 2005: Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, Held in Athens, Greece, July 28-August 3, 2005. [REVIEW] Cambridge University Press.score: 400.2
    The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of recent developments. Highlights of this volume from the 2005 meeting include three papers on different aspects of connections between model theory and algebra; a survey of recent major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of (...)
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  42. Andrea Cantini (1996). Logical Frameworks for Truth and Abstraction: An Axiomatic Study. Elsevier Science B.V..score: 393.6
    This English translation of the author's original work has been thoroughly revised, expanded and updated. The book covers logical systems known as type-free or self-referential . These traditionally arise from any discussion on logical and semantical paradoxes. This particular volume, however, is not concerned with paradoxes but with the investigation of type-free sytems to show that: (i) there are rich theories of self-application, involving both operations and truth which can serve as foundations for property theory and formal semantics; (ii) these (...)
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  43. Jean-Yves Béziau (ed.) (2005). Logica Universalis: Towards a General Theory of Logic. Birkhäuser.score: 393.6
    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: Alfred Tarski and other Polish logicians such as Adolf Lindenbaum developed a general theory of logics at the end of the 1920s based on consequence operations and logical matrices. The subject was revived after the flowering of thousands of new logics during the (...)
     
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  44. Patrick Suppes (1964/2002). First Course in Mathematical Logic. Dover Publications.score: 386.4
    This introduction to rigorous mathematical logic is simple enough in both presentation and context for students of a wide range of ages and abilities. Starting with symbolizing sentences and sentential connectives, it proceeds to the rules of logical inference and sentential derivation, examines the concepts of truth and validity, and presents a series of truth tables. Subsequent topics include terms, predicates, and universal quantifiers; universal specification and laws of identity; axioms for addition; and universal generalization. Throughout the book, the (...)
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  45. P. B. Andrews (2002). An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof. Kluwer Academic Publishers.score: 385.2
    This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation (...)
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  46. W. V. Quine (1951). Mathematical Logic. Cambridge, Harvard University Press.score: 385.2
    INTRODUCTION MATHEMATICAL logic differs from the traditional formal logic so markedly in method, and so far surpasses it in power and subtlety, ...
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  47. Hao Wang (1981/1993). Popular Lectures on Mathematical Logic. Dover Publications.score: 385.2
    Noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. After historical survey, lucid treatment of set theory, model theory, recursion theory and constructivism and proof theory. Place of problems in development of theories of logic, logic’s relationship to computer science, more. Suitable for readers at many levels of mathematical sophistication. 3 appendixes. Bibliography. 1981 edition.
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  48. David Hilbert (1950/1999). Principles of Mathematical Logic. Ams Chelsea.score: 385.2
    Although symbolic logic has grown considerably in the subsequent decades, this book remains a classic.
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  49. A. Prestel (2011). Mathematical Logic and Model Theory: A Brief Introduction. Springer.score: 385.2
    Therefore, the text is divided into three parts: an introduction into mathematical logic (Chapter 1), model theory (Chapters 2 and 3), and the model theoretic ...
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  50. John N. Crossley (ed.) (1972/1990). What is Mathematical Logic? Dover Publications.score: 385.2
    This lively introduction to mathematical logic, easily accessible to non-mathematicians, offers an historical survey, coverage of predicate calculus, model theory, Godel’s theorems, computability and recursivefunctions, consistency and independence in axiomatic set theory, and much more. Suggestions for Further Reading. Diagrams.
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