The Boolean Many-Valued Approach Akiba, Ken. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XV, 145 p. 26 illus. online resource. This book shows that the assumption that classical logic is essentially a bivalent (i.e., 2-valued) logic, a logic of truth and falsity, is an incorrect and harmful conception. Classical logic is certainly a Boolean logic, and the smallest (non-degenerate) Boolean algebra is the 2-element Boolean algebra; however, there are numerous Boolean algebras that have more than 2 elements, such as the 4-, 8-, 16-, ..., infinite-element Boolean algebra, and they all work equally well for the semantics of classical logic. Contrary to the popular thought, there is such a thing as classical (or Boolean) many-valued logic. The book applies this logic to solve such philosophical problems as the Fission Problem for personal identity, the Sorites Paradox, and the Liar Paradox. All these problems concern situations that involve indeterminacy or vagueness, situations where there seems 'no fact of the matter' that makes the relevant sentences true or false, thus requiring truth value gaps between truth and falsity. Because of that, classical logic has been thought to be an inadequate tool to deal with the problems. This book, however, offers solutions to those problems by retaining classical logic but assigning intermediate Boolean values to the relevant sentences. The book is of great value to researchers and graduate students in philosophy, especially for those who are interested in the philosophical issues surrounding indeterminacy, vagueness, and truth. Preface -- Chapter 1. Boolean Many-Valued Logic -- Chapter 2. The Fission Problem and the Indeterminacy of Personal Identity -- Chapter 3. Vagueness, the Sorites Paradox and Precisifications -- Chapter 4. An Ontic Theory of Indeterminacy and Vagueness -- Chapter 5. Truth and the Liar Paradox -- Index. by Ken Akiba. Science Philosophy Logic Philosophy of Science Logic Q174-175.3 B67 9783031741753 https://doi.org/10.1007/978-3-031-74175-3 https://doi.org/10.1007/978-3-031-74175-3 241028 20251030113249.0 978-3-031-74175-3