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

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  1. Stanisław J. Surma (ed.) (1973). Studies in the History of Mathematical Logic. Wrocław,Zakład Narodowy Im. Ossolinskich.score: 720.0
  2. Volker Peckhaus (1999). 19th Century Logic Between Philosophy and Mathematics. Bulletin of Symbolic Logic 5 (4):433-450.score: 696.0
    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 (...)
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  3. Roman Murawski (2010). Essays in the Philosophy and History of Logic and Mathematics. Rodopi.score: 606.0
  4. Geraldine Brady (2000). From Peirce to Skolem: A Neglected Chapter in the History of Logic. North-Holland/Elsevier Science Bv.score: 588.0
    This book is an account of the important influence on the development of mathematical logic of Charles S. Peirce and his student O.H. Mitchell, through the work of Ernst Schroder, Leopold Lowenheim, and Thoralf Skolem. As far as we know, this book is the first work delineating this line of influence on modern mathematical logic.
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  5. Michał Walicki (2012). Introduction to Mathematical Logic. World Scientific.score: 564.0
    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 (...)
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  6. Jarmo Pulkkinen (2005). Thought and Logic: The Debates Between German-Speaking Philosophers and Symbolic Logicians at the Turn of the 20th Century. P. Lang.score: 540.0
     
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  7. Robert Tubbs (2009). What is a Number?: Mathematical Concepts and Their Origins. Johns Hopkins University Press.score: 500.0
    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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  8. Imre Lakatos (1976). Proofs and Refutations: The Logic of Mathematical Discovery. Cambridge University Press.score: 498.0
    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 (...)
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  9. G. D. Bowne (1966). The Philosophy of Logic, 1880-1908. The Hague, Mouton.score: 432.0
     
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  10. Gregory Landini (1998). Russell's Hidden Substitutional Theory. Oxford University Press.score: 420.0
    This book explores an important central thread that unifies Russell's thoughts on logic in two works previously considered at odds with each other, the Principles of Mathematics and the later Principia Mathematica. This thread is Russell's doctrine that logic is an absolutely general science and that any calculus for it must embrace wholly unrestricted variables. The heart of Landini's book is a careful analysis of Russell's largely unpublished "substitutional" theory. On Landini's showing, the substitutional theory reveals the unity of Russell's (...)
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  11. Peter Hylton (2005/2008). Propositions, Functions, and Analysis: Selected Essays on Russell's Philosophy. Oxford University Press.score: 408.0
    The work of Bertrand Russell had a decisive influence on the emergence of analytic philosophy, and on its subsequent development. The prize-winning Russell scholar Peter Hylton presents here some of his most celebrated essays from the last two decades, all of which strive to recapture and articulate Russell's monumental vision. Relating his work to that of other philosophers, particularly Frege and Wittgenstein, and featuring a previously unpublished essay and a helpful new introduction, the volume will be essential for anyone engaged (...)
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  12. Peter Hylton (2008). Propositions, Functions, and Analysis: Selected Essays on Russell's Philosophy. OUP Oxford.score: 408.0
    The work of Bertrand Russell had a decisive influence on the emergence of analytic philosophy, and on its subsequent development. The essays collected in this volume, by one of the leading authorities on Russell's philosophy, all aim at recapturing and articulating aspects of Russell's philosophical vision during his most influential and important period, the two decades following his break with Idealism in 1899. One theme of the collection concerns Russell's views about propositions and their analysis, and the relation of those (...)
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  13. Stephen K. Land (1974). From Signs to Propositions: The Concept of Form in Eighteenth-Century Semantic Theory. Longman.score: 396.0
     
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  14. Youding Shen (2006). Shen Youding Ji. Zhongguo She Hui Ke Xue Chu Ban She.score: 396.0
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  15. David Dinsmore Comey (1965). Review: N. I. Stazkin, V. D. Silakov, A Brief Outline of the History of General and Mathematical Logic in Russia. [REVIEW] Journal of Symbolic Logic 30 (3):370-371.score: 372.0
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  16. Andrzej Mostowski (1948). Review: Stanislaw Kaczorowski, Mathematical Logic. Part I. The Algebra of Logic. (An Outline of History.). [REVIEW] Journal of Symbolic Logic 13 (3):167-167.score: 372.0
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  17. Steward Shapiro (1992). Review: Thomas Drucker, Perspectives on the History of Mathematical Logic. [REVIEW] Journal of Symbolic Logic 57 (4):1487-1489.score: 372.0
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  18. Stefania Centrone (2010). Logic and Philosophy of Mathematics in the Early Husserl. Springer.score: 370.0
    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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  19. 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: 360.0
    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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  20. 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: 360.0
    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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  21. S. W. P. Steen (1972). Mathematical Logic with Special Reference to the Natural Numbers. Cambridge [Eng.]University Press.score: 360.0
    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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  22. Ian Chiswell (2007). Mathematical Logic. Oxford University Press.score: 351.0
    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 a (...)
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  23. Herbert B. Enderton (1972). A Mathematical Introduction to Logic. New York,Academic Press.score: 351.0
    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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  24. José Ferreirós (2010). La lógica matemática: una disciplina en busca de encuadre (Mathematical Logic). Theoria 25 (3):279-299.score: 336.0
    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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  25. Stephen Cole Kleene (1967/2002). Mathematical Logic. Dover Publications.score: 330.0
    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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  26. G. T. Kneebone (1963/2001). Mathematical Logic and the Foundations of Mathematics: An Introductory Survey. Dover.score: 330.0
    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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  27. Rudolf Carnap (1958). Introduction to Symbolic Logic and its Applications. New York, Dover Publications.score: 330.0
    Clear, comprehensive, intermediate introduction to logical languages, applications of symbolic logic to physics, mathematics, biology.
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  28. 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: 330.0
    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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  29. Graeme Forbes (1994). Modern Logic: A Text in Elementary Symbolic Logic. Oxford University Press.score: 330.0
    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, Modern (...)
     
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  30. John Corcoran (2006). Schemata: The Concept of Schema in the History of Logic. Bulletin of Symbolic Logic 12 (2):219-240.score: 328.0
    The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s (...)
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  31. Robert Feys (1969). Dictionary of Symbols of Mathematical Logic. Amsterdam, North-Holland Pub. Co..score: 324.0
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  32. A. C. Leisenring (1969). Mathematical Logic and Hilbert's & Symbol. London, Macdonald Technical & Scientific.score: 324.0
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  33. Patrick Suppes (1964/2002). First Course in Mathematical Logic. Dover Publications.score: 316.5
    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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  34. I. Grattan-Guinness (1999). Mathematics and Symbolic Logics: Some Notes on an Uneasy Relationship. History and Philosophy of Logic 20 (3-4):159-167.score: 316.0
    Symbolic logics tend to be too mathematical for the philosophers and too philosophical for the mathematicians; and their history is too historical for most mathematicians, philosophers and logicians. This paper reflects upon these professional demarcations as they have developed during the century.
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  35. P. B. Andrews (2002). An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof. Kluwer Academic Publishers.score: 315.0
    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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  36. W. V. Quine (1951). Mathematical Logic. Cambridge, Harvard University Press.score: 315.0
    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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  37. Hao Wang (1981/1993). Popular Lectures on Mathematical Logic. Dover Publications.score: 315.0
    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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  38. David Hilbert (1950/1999). Principles of Mathematical Logic. Ams Chelsea.score: 315.0
    Although symbolic logic has grown considerably in the subsequent decades, this book remains a classic.
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  39. A. Prestel (2011). Mathematical Logic and Model Theory: A Brief Introduction. Springer.score: 315.0
    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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  40. John N. Crossley (ed.) (1972/1990). What is Mathematical Logic? Dover Publications.score: 315.0
    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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  41. John Venn (1894/1971). Symbolic Logic. New York,B. Franklin.score: 315.0
    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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  42. Wolfgang Rautenberg (2006). A Concise Introduction to Mathematical Logic. Springer.score: 315.0
    Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy. While there are already several well-known textbooks on mathematical logic, this book is unique in that (...)
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  43. Susanne Katherina Knauth Langer (1967). An Introduction to Symbolic Logic. New York, Dover Publications.score: 315.0
    Famous classic has introduced hundreds of thousands to symbolic logic, via clear, thorough, precise exposition.
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  44. Heinz-Dieter Ebbinghaus (1996). Mathematical Logic. Springer.score: 315.0
    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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  45. Alessandro Andretta, Keith Kearnes & Domenico Zambella (eds.) (2008). Logic Colloquium 2004: Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, Held in Torino, Italy, July 25-31, 2004. [REVIEW] Cambridge University Press.score: 315.0
    Highlights of this volume from the 2004 Annual European Meeting of the Association for Symbolic Logic (ASL) include a tutorial survey of the recent highpoints of universal algebra, written by a leading expert; explorations of foundational questions; a quartet of model theory papers giving an excellent reflection of current work in model theory, from the most abstract aspect "abstract elementary classes" to issues around p-adic integration.
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  46. M. Ben-Ari (1993/2003). Mathematical Logic for Computer Science. Prentice Hall.score: 315.0
    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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  47. Walter A. Carnielli & Luiz Carlos P. D. Pereira (eds.) (1995). Logic, Sets and Information: Proceedings of the Tenth Brazilian Conference on Mathematical Logic. Centro de Lógica, Epistemologia e História da Ciência, Unicamp.score: 315.0
    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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  48. Chin-Liang Chang (1973/1987). Symbolic Logic and Mechanical Theorem Proving. Academic Press.score: 315.0
    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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  49. J. L. Bell (1977). A Course in Mathematical Logic. Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..score: 315.0
    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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  50. 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: 315.0
    Review by: Johanna N. Y. Franklin The Bulletin of Symbolic Logic, Volume 19, Issue 1, Page 115-118, March 2013.
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