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The Many Valued and Nonmonotonic Turn in Logic
Elsevier Science 2007; US$ 260.00The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are... more...
Intuition and the Axiomatic Method
Springer 2006; US$ 159.99Following 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...
Intensional Mathematics
Elsevier Science 1985; US$ 100.75``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...
Quantification in Nonclassical Logic
Elsevier Science 2009; US$ 220.00Quantification and modalities have always been topics of great interest for logicians. These two themes emerged from philosophy and language in ancient times; they were studied by traditional informal methods until the 20th century. In the last century the tools became highly mathematical, and both modal logic and quantification found numerous applications... more...
Non-classical logics, model theory, and computability
Elsevier Science 2000; US$ 250.00Provability, Computability and Reflection more...
Aristotle's Modal Proofs
Springer 2010; US$ 109.99Aristotle'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...
Multiple-Valued Logic
Morgan & Claypool Publishers 2007; US$ 40.00Multiple 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...
Representations of Multiple-Valued Logic Functions
Morgan & Claypool Publishers 2012; US$ 45.00Compared to binary switching functions, multiple-valued functions offer more compact representations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical... more...
One Hundred Years of Intuitionism (1907-2007)
Springer 2008; US$ 159.00With logicism and formalism, intuitionism is one of the main foundations for mathematics proposed in the twentieth century. This book aims to review and complete the historical account of intuitionism; to present philosophical work on intuitionism; and, to give examples of technical advances and applications of intuitionism. more...
Function Algebras on Finite Sets
Springer 2006; US$ 109.99Gives 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...
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