Logic in Reality (PDF)

"The rich and colorful modern physics system was developed on the basis of particle mechanics, in which every object is represented as a particle, so that the size, shape and internal structure of the object can be beautifully omitted.  Similarly, the development of modern logics system started with the classical logic, where each proposition is a point of information with two truth values -- true /false. There is no consideration of the content, structure, linguistic context and the evolution of the content. The development of information processing and artificial intelligence in the past several decades, however, has facilitated the revolution of logics to take into account proposition content, structure, linguistic context and the evolution of content. Therefore, various non-classical logics have emerged, including intuitionist logic, paraconsistent logic, paracomplete logic, modal logic, natural logic, relevance logic, multi-valued logic, fuzzy logic, inductive logic, abductive logic, and quantum logic, etc. Brenner's book, Logic in Reality, is a star in this revolution of logics. Based on concepts borrowed from the physics of reality, like dualities and probability, and with the help of ontologies, Brenner builds a formal logic system that can unify all non-classical logics to some extent. This is an important event in the development of logics at present." Professor Huacan He, Computer Institute of Northwestern Polytechnical University, Xi’an, P.R.C., Vice-Chairman of Chinese Association of Artificial Intelligence

"A book to read very carefully. The author launches a brave,timely,and thought provoking exploration throughout the vast territories of logic. Indeed, the project of an overarching "logic in reality", which has to incorporate crucial novelties occurred in the scientific arena during last decades,represents a formidable multidisciplinary challenge. We are living in the "information era", right in the middle of an information revolution affecting most of the sciences, which among other conceptual necessities, demands a careful revision of the "logical core" of our informational relationships with the environment: how the interpenetration of internal and the external "adjacencies" beget our reality... Do not miss the book!" Pedro C. Marijuan, Director - Bioinformation Group, Health Sciences Institute of Aragon, Zaragoza, Spain, Co-founder of the Foundations of Information Sciences initiative

"Brenner provides a long overdue up-date of the original insights of the Franco-Romanian thinker Stéphane Lupasco that logical features of physical reality force us to revise many of our ontological commitments. The book includes a substantial overview of both standard and non-standard logics, but the author emphasizes that his logic differs radically from all of them. His logic thus has the potential of providing a fresh perspective on some hitherto puzzling features and conceptual difficulties associated with current philosophy and science, especially in biology, cognitive science and cosmology, with implications for systems and complexity theory." Daniel MacArthur, Assistant Professor of Philosophy, York University, Toronto, Canada

"Joseph Brenner’s Logic in Reality represents a detailed effort to ground fundamental ontology on an alternative logic. … Logic in Reality is a fine thought-provoking book and it promises more of the same from a very able author. It makes a significant contribution to both scientific philosophy and non-standard logic." (Philosophy in Review, February, 2009)