Results for 'Logic, Symbolic and mathematical'

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  1. Foundations of Logic and Mathematics.Rudolf Carnap - 1939 - U. Of Chicago P.
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  2.  35
    Foundations of Logic and Mathematics.E. N. - 1939 - Journal of Philosophy 36 (23):636-637.
  3. 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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  4.  1
    Mathematical Logic and Hilbert's & Symbol.A. C. Leisenring - 1969 - London: Macdonald Technical & Scientific.
  5.  39
    Logic and Philosophy of Mathematics in the Early Husserl.Stefania Centrone - 2009 - 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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  6.  83
    Constructibility and Mathematical Existence.Charles S. Chihara - 1990 - 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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  7. Proofs and Refutations: The Logic of Mathematical Discovery.Imre Lakatos (ed.) - 1976 - 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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  8.  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.
  9.  18
    Logic, Methodology and Philosophy of Science.Ernest Nagel (ed.) - 1962 - Stanford, Calif., Stanford University Press.
  10.  32
    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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  11. 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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  12.  13
    Kolmogorov and Mathematical Logic.Vladimir A. Uspensky - 1992 - Journal of Symbolic Logic 57 (2):385-412.
  13. Dictionary of Symbols of Mathematical Logic.Robert Feys - 1969 - Amsterdam: North-Holland Pub. Co..
  14. 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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  15. 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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  16.  21
    Logical Dynamics of Information and Interaction.Johan van Benthem - 2011 - Cambridge University Press.
    This book develops a view of logic as a theory of information-driven agency and intelligent interaction between many agents - with conversation, argumentation and games as guiding examples. It provides one uniform account of dynamic logics for acts of inference, observation, questions and communication, that can handle both update of knowledge and revision of beliefs. It then extends the dynamic style of analysis to include changing preferences and goals, temporal processes, group action and strategic interaction in games. Throughout, the book (...)
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  17.  75
    After Gödel: Platonism and Rationalism in Mathematics and Logic.Richard Tieszen - 2011 - Oxford University Press.
    Gödel's relation to the work of Plato, Leibniz, Kant, and Husserl is examined, and a new type of platonic rationalism that requires rational intuition, called ...
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  18. Probability and the Logic of Rational Belief.Henry E. Kyburg Jr - 1961 - Wesleyan University Press.
  19.  26
    Mathematical Logic.Joseph R. Shoenfield - 1967 - 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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  20.  63
    A Mathematical Introduction to Logic.Herbert B. 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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  21.  5
    Symbolic Logic and Mechanical Theorem Proving.Chin-Liang Chang - 1973 - 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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  22.  72
    Mathematical Logic.Stephen Cole Kleene - 1967 - 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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  23.  53
    Logic, Meaning and Computation: Essays in Memory of Alonzo Church.Alonzo Church, C. Anthony Anderson & Michael Zelëny (eds.) - 2001 - 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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  24.  24
    Symbolic Logic.Clarence Irving Lewis - 1932 - Dover Publications.
  25. The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1925 - Routledge & Kegan Paul.
  26. An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof.P. B. Andrews - 2002 - 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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  27.  37
    Proofs and Refutations: The Logic of Mathematical Discovery.Imre Lakatos, John Worrall & Elie Zahar (eds.) - 1976 - 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 raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical (...)
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  28.  28
    Philosophical Grammar: Part I, the Proposition, and its Sense, Part Ii, on Logic and Mathematics.Ludwig Wittgenstein - 1974 - 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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  29.  34
    The Theory of Probability. An Inquiry Into the Logical and Mathematical Foundations of the Calculus of Probability.Ernest Nagel, Hans Reichenbach, Ernest H. Hutten & Maria Reichenbach - 1950 - Journal of Philosophy 47 (19):551-555.
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  30.  69
    Introduction to Mathematical Logic.ALONZO CHURCH - 1944 - London: Oxford University PRess.
    This book is intended to be used as a textbook by students of mathematics, and also within limitations as a reference work.
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  31. 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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  32. Symbolic Logic, Method and Development.Henry Bradford Smith - 1927 - New York: F. S. Crofts & Co..
  33. 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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  34.  50
    Symbolic Logic.Frederic B. Fitch - 1952 - New York: Ronald Press Co..
  35. Introduction to Mathematical Logic.Alonzo Church - 1956 - Princeton: Princeton University Press.
    This book is intended to be used as a textbook by students of mathematics, and also within limitations as a reference work.
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  36. Foundations of Logic and Mathematics.Ernest Bloomfield Zeisler - 1955 - Chicago: A.J. Isaacs.
  37.  35
    Symbolic Logic.John Venn - 1881 - New York: B. Franklin.
    SYMBOLIC LOGIC. CHAPTER I. ON THE FORMS OF LOGICAL PROPOSITION. IT has been mentioned in the Introduction that the System of Logic which this work is ...
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  38. Elements of Symbolic Logic.Hans Reichenbach - 1947 - London: Dover Publications.
  39. Mathematical Logic and the Foundations of Mathematics: An Introductory Survey.G. T. Kneebone - 1963 - Dover Publications.
    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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  40. Compound Statements and Mathematical Logic.Vincent E. Cangelosi - 1967 - Columbus, Ohio, C.E. Merrill Books.
  41. Language, Logic and Mathematics.C. W. Kilmister - 1967 - New York: Barnes & Noble.
  42. Collected Papers on Mathematics, Logic, and Philosophy.Gottlob Frege - 1991 - Wiley-Blackwell.
  43.  57
    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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  44. Temporal Logic Mathematical Foundations and Computational Aspects.Dov M. Gabbay, Ian Hodkinson & Mark Reynolds - 1994
     
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  45.  24
    Notes on Philosophy, Probability and Mathematics. [REVIEW]Brad Armendt - 1994 - Philosophical Review 103 (4):713-715.
    Review of Maria Carla Galavotti (ed), Notes on Philosophy, Probability and Mathematics, 1991, Bibliopolis. Notes are selected from manuscripts by Frank Plumpton Ramsey at the University of Pittsburgh's Hillman Library.
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  46.  26
    Elementary Symbolic Logic.William Gustason - 1973 - New York: Holt, Rinehart and Winston.
    This is a college-level textbook that discusses elementary symbolic logic.
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    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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  48.  27
    Mathematical Logic.Heinz-Dieter Ebbinghaus - 1996 - Springer.
    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 most (...)
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  49.  32
    The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications.Richard Kaye - 2007 - Cambridge University Press.
    This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is (...)
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  50. Symbolic Logic.Irving Copi - 1954 - New York: Macmillan.
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