Results for 'Logic, Symbolic and mathematical'

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  1.  24
    Foundations of Logic and Mathematics.Rudolf Carnap - 1937 - Chicago, IL, USA: U. Of Chicago P.
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  2. Logic Bivalence and Denotation.Ermanno Bencivenga, Karel Lambert & Bas C. Van Fraassen - 1999 - Atascadero, CA, USA: Ridgeview.
  3. Internal Logic Foundations of Mathematics From Kronecker to Hilbert.Yvon Gauthier - 2002
  4.  4
    Dictionary of Symbols of Mathematical Logic.Robert Feys (ed.) - 1969 - Amsterdam: North-Holland Pub. Co..
  5.  36
    Foundations of Logic and Mathematics. [REVIEW]E. N. - 1939 - Journal of Philosophy 36 (23):636-637.
  6. Logic, Sets and Information: Proceedings of the Tenth Brazilian Conference on Mathematical Logic.Walter A. Carnielli & Luiz Carlos P. D. Pereira (eds.) - 1995 - Centro de Lógica, Epistemologia e História da Ciência, Unicamp.
    Proceedings of the Tenth Brazilian Conference on Mathematical Logic. Coleção CLE, volume 14, 1995. Centro De Lógica, Epistemologia e História da Ciência, Unicamp, Campinas, SP, Brazil.
     
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  7.  4
    Mathematical Logic and Hilbert's & Symbol.A. C. Leisenring - 1969 - London: Macdonald Technical & Scientific.
  8. Foundations of Logic and Mathematics.Ernest Bloomfield Zeisler - 1955 - Chicago: A.J. Isaacs.
  9. The Theory of Probability: An Inquiry Into the Logical and Mathematical Foundations of the Calculus of Probability.Hans Reichenbach - 1949 - Berkeley: University of California Press.
    We must restrict to mere probability not only statements of comparatively great uncertainty, like predictions about the weather, where we would cautiously ...
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  10. Frege and Gödel: Two Fundamental Texts in Mathematical Logic.Jean van Heijenoort - 1970
  11.  93
    Constructibility and Mathematical Existence.Charles S. Chihara - 1990 - Oxford, England: Oxford University Press.
    This book is concerned with `the problem of existence in mathematics'. It develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. It explores the philosophical implications of such an approach through an examination of the writings of Field, Burgess, Maddy, Kitcher, and others.
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  12.  2
    The Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics From Cantor Through Russell to Gödel. [REVIEW]I. Grattan-Guinness - 2000 - Princeton, NJ, USA: Princeton University Press.
    While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the (...)
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  13. Reviews: Mathematics and Logic-Symbols, Impossible Numbers, and Geometric Entanglements: British Algebra Through the Commentaries on Newton's Universal Arithmetick. [REVIEW]Helena M. Pycior & M. Seltman - 1998 - Annals of Science 55 (4):438-439.
     
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  14.  17
    Gödel '96 Logical Foundations of Mathematics, Computer Science and Physics Kurt GÖdel's Legacy.Petr Hájek & Jiří Zlatuška - 1996 - Bulletin of Symbolic Logic 2 (4):473-473.
  15. Proofs and Refutations: The Logic of Mathematical Discovery.Imre Lakatos (ed.) - 1976 - Cambridge and London: Cambridge University Press.
    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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  16.  34
    Logic, Methodology and Philosophy of Science.Patrick Suppes (ed.) - 1963 - New York: American Elsevier Pub. Co..
    ELEMENTARY LOGIC GR. C. MOISIL Institute of Mathematics, Rumanian Academy, Bucharest, Rumania 1. We shall consider a typified logic of propositions. ...
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  17. Compound Statements and Mathematical Logic.Vincent E. Cangelosi - 1967 - Columbus, Ohio, C.E. Merrill Books.
  18.  13
    Kolmogorov and Mathematical Logic.Vladimir A. Uspensky - 1992 - Journal of Symbolic Logic 57 (2):385-412.
  19.  47
    Logic and Philosophy of Mathematics in the Early Husserl.Stefania Centrone - 2009 - Dordrecht, Netherland: Springer.
    This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to ...
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  20.  2
    Logic, Methodology and Philosophy of Science: Proceedings of the 1964 International Congress.Yehoshua Bar-Hillel (ed.) - 1965 - Amsterdam: North-Holland Pub. Co..
  21.  32
    Philosophical Grammar: Part I, the Proposition, and its Sense, Part Ii, on Logic and Mathematics.Ludwig Wittgenstein - 1974 - Oxford, England: University of California Press.
    i How can one talk about 'understanding' and 'not understanding' a proposition? Surely it is not a proposition until it's understood ? ...
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  22.  21
    Logic, Methodology and Philosophy of Science.Ernest Nagel (ed.) - 1962 - Stanford, Calif., Stanford University Press.
  23. Symbolic Logic, Method and Development.Henry Bradford Smith - 1927 - New York: F. S. Crofts & Co..
  24.  1
    Language, Logic and Mathematics.Cliff W. Kilmister - 1967 - New York: Barnes & Noble.
  25.  13
    Logic and Reality: Essays on the Legacy of Arthur Prior.Brian Jack Copeland (ed.) - 1996 - Oxford, England: Oxford University Press.
    Logic and Reality is a collection of essays by philosophers, logicians, mathematicians, and computer scientists, celebrating the work of the late distinguished philosopher Arthur Prior on the eightieth anniversary of his birth. Topics range from philosophical discussions of the nature of time and of the nature of logic itself, to descriptions of computer systems that can reason and take account of the fact that they exist in a temporal world.
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  26. Logical Foundations of Mathematics for Behavioral Scientists [by] Abraham S. Luchins [and] Edith H. Luchins. --.Abraham S. Luchins - 1965 - Holt, Rinehart and Winston.
  27.  1
    The Theory of Probability an Inquiry Into the Logical and Mathematical Foundations of the Calculus of Probability.Hans Reichenbach - 1949 - Berkeley, CA, USA: University of California Press.
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  28. Introduction to Symbolic Logic and its Applications.Rudolf Carnap - 1958 - New York: Dover Publications.
    Clear, comprehensive, intermediate introduction to logical languages, applications of symbolic logic to physics, mathematics, biology.
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  29. Mathematical Logic.W. V. Quine - 1940 - Cambridge: Harvard University Press.
    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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  30.  82
    A Mathematical Introduction to Logic.Herbert Bruce Enderton - 1972 - New York: Academic Press.
    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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  31. Logic and Mathematics in the Seventeenth Century. History and Philosophy of Logic, Vol. 31.Massimo Mugnai - 2011 - Bulletin of Symbolic Logic 17 (2):270-271.
     
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  32. The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1925 - London, England: Routledge & Kegan Paul.
  33. Logic and Foundations of Mathematics: Selected Contributed Papers of the Tenth International Congress of Logic, Methodology and Philosophy of Science, Florence, August 1995.Andrea Cantini, Ettore Casari & Pierluigi Minari (eds.) - 1999 - Dordrecht, Netherland: Springer.
    The IOth International Congress of Logic, Methodology and Philosophy of Science, which took place in Florence in August 1995, offered a vivid and comprehensive picture of the present state of research in all directions of Logic and Philosophy of Science. The final program counted 51 invited lectures and around 700 contributed papers, distributed in 15 sections. Following the tradition of previous LMPS-meetings, some authors, whose papers aroused particular interest, were invited to submit their works for publication in a collection of (...)
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  34.  36
    Mathematical Logic for Computer Science.M. Ben-Ari - 1993 - Prentice-Hall.
    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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  35.  3
    Logic, Computers, and Sets.Hao Wang - 1962 - New York: Chelsea Pub. Co..
  36.  77
    Mathematical Logic.Stephen Cole Kleene - 1967 - New York, NY, USA: Dover Publications.
    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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  37.  48
    Wilfried Buchholz. Notation Systems for Infinitary Derivations. Archive for Mathematical Logic, Vol. 30 No. 5–6 , Pp. 277–296. - Wilfried Buchholz. Explaining Gentzen's Consistency Proof Within Infinitary Proof Theory. Computational Logic and Proof Theory, 5th Kurt Gödel Colloquium, KGC '97, Vienna, Austria, August 25–29, 1997, Proceedings, Edited by Georg Gottlob, Alexander Leitsch, and Daniele Mundici, Lecture Notes in Computer Science, Vol. 1289, Springer, Berlin, Heidelberg, New York, Etc., 1997, Pp. 4–17. - Sergei Tupailo. Finitary Reductions for Local Predicativity, I: Recursively Regular Ordinals. Logic Colloquium '98, Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, Held in Prague, Czech Republic, August 9–15, 1998, Edited by Samuel R. Buss, Petr Háajek, and Pavel Pudlák, Lecture Notes in Logic, No. 13, Association for Symbolic Logic, Urbana, and A K Peters, Natick, Mass., Etc., 2000, Pp. 465–499. [REVIEW]Toshiyasu Arai - 2002 - Bulletin of Symbolic Logic 8 (3):437-439.
  38.  17
    Temporal Logic: Mathematical Foundations and Computational Aspects.Dov M. Gabbay, Ian Hodkinson & Mark A. Reynolds - 1994 - Oxford University Press on Demand.
    This long awaited book gives a thorough account of the mathematical foundations of Temporal Logic, one of the most important areas of logic in computer science.The book, which consists of fifteen chapters, moves on from giving a solid introduction in semantical and axiomatic approaches to temporal logic to covering the central topics of predicate temporal logic, meta-languages, general theories of axiomatization, many dimensional systems, propositionalquantifiers, expressive power, Henkin dimension, temporalization of other logics, and decidability results.Much of the research presented (...)
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  39.  55
    Logic, Meaning and Computation: Essays in Memory of Alonzo Church.Alonzo Church, C. Anthony Anderson & Michael Zelëny (eds.) - 2001 - Dordrecht, Netherland: Kluwer Academic Publishers.
    This volume began as a remembrance of Alonzo Church while he was still with us and is now finally complete. It contains papers by many well-known scholars, most of whom have been directly influenced by Church's own work. Often the emphasis is on foundational issues in logic, mathematics, computation, and philosophy - as was the case with Church's contributions, now universally recognized as having been of profound fundamental significance in those areas. The volume will be of interest to logicians, computer (...)
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  40.  32
    Mathematical Logic.Joseph R. Shoenfield - 1967 - Reading, MA, USA: Reading, Mass., Addison-Wesley Pub. Co..
    8.3 The consistency proof -- 8.4 Applications of the consistency proof -- 8.5 Second-order arithmetic -- Problems -- Chapter 9: Set Theory -- 9.1 Axioms for sets -- 9.2 Development of set theory -- 9.3 Ordinals -- 9.4 Cardinals -- 9.5 Interpretations of set theory -- 9.6 Constructible sets -- 9.7 The axiom of constructibility -- 9.8 Forcing -- 9.9 The independence proofs -- 9.10 Large cardinals -- Problems -- Appendix The Word Problem -- Index.
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  41. Phenomenology, Logic, and the Philosophy of Mathematics.Richard Tieszen - 2005 - Cambridge University Press.
    Offering a collection of fifteen essays that deal with issues at the intersection of phenomenology, logic, and the philosophy of mathematics, this 2005 book is divided into three parts. Part I contains a general essay on Husserl's conception of science and logic, an essay of mathematics and transcendental phenomenology, and an essay on phenomenology and modern pure geometry. Part II is focused on Kurt Godel's interest in phenomenology. It explores Godel's ideas and also some work of Quine, Penelope Maddy and (...)
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  42.  41
    Joseph R. Shoenfield. Mathematical Logic. Republication of JSL XL 234. Association for Symbolic Logic, Urbana, and A K Peters, Natick, Mass., 2001, Viii + 344 Pp. [REVIEW]J. Donald Monk - 2001 - Bulletin of Symbolic Logic 7 (3):376.
  43.  9
    Symbolic Logic and Mechanical Theorem Proving.Chin-Liang Chang - 1973 - New York, NY, USA: Academic Press.
    This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters 4–9 introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis.
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  44.  38
    The Theory of Probability. An Inquiry Into the Logical and Mathematical Foundations of the Calculus of Probability. [REVIEW]Ernest Nagel - 1950 - Journal of Philosophy 47 (19):551-555.
  45. An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof.Peter Bruce Andrews - 1986 - New York, NY, USA: Kluwer Academic Publishers.
    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.  96
    19th Century Logic Between Philosophy and Mathematics.Volker Peckhaus - 1999 - Bulletin of Symbolic Logic 5 (4):433-450.
    The history of modern logic is usually written as the history of mathematical or, more general, symbolic logic. As such it was created by mathematicians. Not regarding its anticipations in Scholastic logic and in the rationalistic era, its continuous development began with George Boole's The Mathematical Analysis of Logic of 1847, and it became a mathematical subdiscipline in the early 20th century. This style of presentation cuts off one eminent line of development, the philosophical development of (...)
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  47. Logic, Methodology, and Philosophy Proceedings.Yehoshua Bar-Hillel, Jerusalem, Akademyah Ha-le Umit Ha-Yi Sre Elit le-Mada Im & International Union of the History and Philosophy of Science - 1965 - North-Holland Pub. Co.
  48.  26
    Symbolic Logic.Clarence Irving Lewis - 1932 - New York, NY, USA: Dover Publications.
  49.  22
    Stewart Shapiro. Second-Order Languages and Mathematical Practice. The Journal of Symbolic Logic, Vol. 50 , Pp. 714–742. [REVIEW]Geoffrey Hellman - 1989 - Journal of Symbolic Logic 54 (1):291-293.
  50.  58
    Advances in Contemporary Logic and Computer Science: Proceedings of the Eleventh Brazilian Conference on Mathematical Logic, May 6-10, 1996, Salvador, Bahia, Brazil. [REVIEW]Walter A. Carnielli, Itala M. L. D'ottaviano & Brazilian Conference on Mathematical Logic - 1999
    This volume presents the proceedings from the Eleventh Brazilian Logic Conference on Mathematical Logic held by the Brazilian Logic Society (co-sponsored by the Centre for Logic, Epistemology and the History of Science, State University of Campinas, Sao Paulo) in Salvador, Bahia, Brazil. The conference and the volume are dedicated to the memory of professor Mario Tourasse Teixeira, an educator and researcher who contributed to the formation of several generations of Brazilian logicians. Contributions were made from leading Brazilian logicians and (...)
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