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Logic, Symbolic and mathematical; Methodology

  • Logica Universalisby Jean-Yves Beziau

    Birkhäuser Basel 2005; US$ 69.95

    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. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics... more...

  • Logica Universalisby Jean-Yves Beziau

    Birkhäuser Basel 2007; US$ 79.95

    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. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics... more...

  • Mathematical Logicby Ian Chiswell; Wilfrid Hodges

    OUP Oxford 2007; US$ 199.99 US$ 171.99

    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. more...

  • Mathematics & Common Senseby Philip J. Davis

    CRC Press 2006; US$ 47.95

    From the Preface: "This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics... more...

  • In the Light of Logicby Solomon Feferman

    Oxford University Press 1998; US$ 144.99 US$ 124.69

    In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped... more...

  • Kurt Godelby Kurt Gö; Solomon Feferman

    Oxford University Press 2014; US$ 68.99 US$ 59.33

    Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations... more...

  • Kurt Godelby Kurt Gö; Solomon Feferman

    Oxford University Press 2014; US$ 68.99 US$ 59.33

    Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations... more...

  • Mathematical Logicby R.O. Gandy; C.E.M. Yates

    Elsevier Science 2001; US$ 190.00

    Mathematical Logic is a collection of the works of one of the leading figures in 20th-century science. This collection of A.M. Turing's works is intended to include all his mature scientific writing, including a substantial quantity of unpublished material. His work in pure mathematics and mathematical logic extended considerably further; the work... more...

  • Slicing the Truthby Denis R. Hirschfeldt; Chitat Chong; Qi Feng; Theodore A. Slaman; W. Hugh Woodi; Yue Yang

    World Scientific Publishing Company 2014; US$ 37.00

    This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a... more...

  • Algorithmic Puzzlesby Anany Levitin; Maria Levitin

    Oxford University Press, USA 2011; US$ 15.99 US$ 13.75

    While many think of algorithms as specific to computer science, at its core algorithmic thinking is defined by the use of analytical logic to solve problems. This logic extends far beyond the realm of computer science and into the wide and entertaining world of puzzles. In Algorithmic Puzzles, Anany and Maria Levitin use many classic brainteasers as... more...