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Download Universal Logic eBook

by Ross Brady

Download Universal Logic eBook
ISBN:
1575862557
Author:
Ross Brady
Category:
Mathematics
Language:
English
Publisher:
Center for the Study of Language and Inf; 1st edition (December 15, 2001)
Pages:
360 pages
EPUB book:
1368 kb
FB2 book:
1947 kb
DJVU:
1527 kb
Other formats
doc lit mobi docx
Rating:
4.7
Votes:
195


Universal Logic conceptualizes a new logic, where the main inference connective is understood as 'meaning containment'.

Universal Logic conceptualizes a new logic, where the main inference connective is understood as 'meaning containment'. Based on this logic, simple consistency is proved for naive class theory, also in conjunction with 'classical theories' such as a Z-F-style set theory. This book shows how the main set-theoretic and semantic paradoxes can be solved in a systematic way, which is conceptualized independently of the paradoxes themselves.

But, as Ross Brady argues, a new type of weak relevant logic may prove to be better equipped to present new solutions to persistent paradoxes. Universal Logic begins with an overview of classical and relevant logic and discusses the limitations of both in analyzing certain paradoxes

But, as Ross Brady argues, a new type of weak relevant logic may prove to be better equipped to present new solutions to persistent paradoxes. Universal Logic begins with an overview of classical and relevant logic and discusses the limitations of both in analyzing certain paradoxes. It is the first text to demonstrate how the main set-theoretic and semantic paradoxes can be solved in a systematic way and as such will be of great interest to both scholars and students of logic.

Universal logic is the field of logic that studies the common features of all logical systems, aiming to be to logic what universal algebra is to algebra. A number of approaches to universal logic have been proposed since the twentieth century, using model theoretic, and categorical approaches. The roots of universal logic may go as far back as some work of Alfred Tarski in the early twentieth century, but the modern notion was first presented in the 1990s by Swiss logician Jean-Yves Béziau. Classical logic plays a restricted role, applying to 'classical sentences', while the new logic is studied in depth with chapters on semantics, proof theory, and properties.

Throughout the twentieth century, the classical logic of Frege and Russell dominated the field of formal logic. But, as Ross Brady argues, a new type of weak relevant logic may prove to be better equipped to present new solutions to persistent paradoxes.

Bulletin of Symbolic Logic. Your name Please enter your name. CSLI Lecture Notes, vol. 109. CSLI Publications, Stanford, 2006, xii + 346 pp.

Book Format: Paperback. 1 2 3 4 5 6 7 8 9 10 11 12.

The term 'universal logic' has also been used by some logicians (. An anthology titled.

Universal logic aims to be to logic what universal algebra is to algebra; currently there is no universally accepted notion of logic (or logical system). Several frameworks have been proposed. The term 'universal logic' has also been used by some logicians (. An anthology titled Universal Logic was published in 2012, giving a new light on the subject.

Universal logic is to logic what universal algebra is to algebra. Richard Sylvan and Ross Brady) to mean a logic that is applicable in all situations-even impossible ones. Logica Universalis: Towards a General Theory of Logic". Basel: Birkhäuser Verlag. ISBN 3-7643-7259-1 Brady, R. 2006. Stanford: CSLI Publications.

Throughout the twentieth century, the classical logic of Frege and Russell dominated the field of formal logic. But, as Ross Brady argues, a new type of weak relevant logic may prove to be better equipped to present new solutions to persistent paradoxes. Universal Logic begins with an overview of classical and relevant logic and discusses the limitations of both in analyzing certain paradoxes. It is the first text to demonstrate how the main set-theoretic and semantic paradoxes can be solved in a systematic way and as such will be of great interest to both scholars and students of logic.