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Nonclassical mathematical logic

  • Aristotle's Modal Proofsby Adriane Rini

    Springer 2010; US$ 179.00

    Aristotle's modal syllogistic is his study of patterns of reasoning about necessity and possibility. Many scholars think the modal syllogistic is incoherent, a 'realm of darkness'. Others think it is coherent, but devise complicated formal modellings to mimic Aristotle's results. This volume provides a simple interpretation of Aristotle's... more...

  • Essays on Non-Classical Logicby Heinrich Wansing

    World Scientific Publishing Company 2001; US$ 113.00

    This book covers a broad range of up-to-date issues in non-classical logic that are of interest not only to philosophical and mathematical logicians but also to computer scientists and researchers in artificial intelligence. The problems addressed range from methodological issues in paraconsistent and deontic logic to the revision theory of truth and... more...

  • Function Algebras on Finite Setsby Dietlinde Lau

    Springer 2006; US$ 179.00

    Gives an introduction to the theory of function algebras. This book gives the general concepts of the Universal Algebra in order to familiarize the reader from the beginning on with the algebraic side of function algebras. It is a source on function algebras for students and researchers in mathematical logic and theoretical computer science. more...

  • Intensional Mathematicsby S. Shapiro

    Elsevier Science 1985; US$ 72.95

    ``Platonism and intuitionism are rival philosophies of Mathematics, the former holding that the subject matter of mathematics consists of abstract objects whose existence is independent of the mathematician, the latter that the subject matter consists of mental construction... both views are implicitly opposed to materialistic accounts of mathematics... more...

  • Intuition and the Axiomatic Methodby Emily Carson; Renate Huber

    Springer 2006; US$ 269.00

    Following developments in modern geometry, logic and physics, many scientists and philosophers in the modern era considered Kant's theory of intuition to be obsolete. This work explores various views of intuition and the axiomatic method, with Kant's approach. It covers logical and non-logical, and systematic issues in mathematics and physics. more...

  • Kripke’s Worldsby Olivier Gasquet; Andreas Herzig; Bilal Said; François Schwarzentruber

    Springer 2013; US$ 109.00

    Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible world's model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics (alethic, temporal, epistemic and doxastic, dynamic, deontic, description logics) and also turned out useful for other nonclassical... more...

  • Many-Dimensional Modal Logicsby A. Kurucz; F. Wolter; M. Zakharyaschev; Dov M. Gabbay

    Elsevier Science 2003; US$ 220.00

    Modal logics, originally conceived in philosophy, have recently found many applications in computer science, artificial intelligence, the foundations of mathematics, linguistics and other disciplines. Celebrated for their good computational behaviour, modal logics are used as effective formalisms for talking about time, space, knowledge, beliefs, actions,... more...

  • Many-values logicsby J. Barkley J. Rosser; Atwell R. Turoutte

    Elsevier Science 2000; US$ 260.00

    Provability, Computability and Reflection more...

  • Multiple-Valued Logicby D. Michael Miller; Mitchell A. Thornton

    Morgan & Claypool Publishers 2007; US$ 40.00

    Multiple Valued Logic: Concepts and Representations begins with a survey of the use ofmultiple-valued logic in several modern application areas including electronic design automation algorithms and circuit design. The mathematical basis and concepts of various algebras and systems of multiple valued logic are provided including comparisons among various... more...

  • Non-classical logics, model theory, and computabilityby A.I. Arruda; N. C. A. De Costa; R. Chuaqui

    Elsevier Science 2000; US$ 260.00

    Provability, Computability and Reflection more...