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- Springer 2000; US$ 79.95
Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs to make the material more accessible. The presentation is based on natural deduction and readers are assumed to be familiar with basic notions of first order logic. more...
- 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...
- 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...
- Elsevier Science 2009; US$ 235.00
Quantification 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...
- Elsevier Science 2000; US$ 275.00
Provability, Computability and Reflection more...
- 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...
- 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...
- Springer 2013; US$ 69.99
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...
- Springer 2008; US$ 169.00
With 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...
- Morgan & Claypool Publishers 2012; US$ 45.00
Compared to binary switching functions, the multiple-valued functions (MV) 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...