03742nam a22005295i 4500 978-3-031-74175-3 DE-He213 20251030113249.0 cr nn 008mamaa 241028s2024 sz | s |||| 0|eng d 9783031741753 978-3-031-74175-3 10.1007/978-3-031-74175-3 doi Q174-175.3 B67 PDA bicssc SCI075000 bisacsh PDA thema Akiba, Ken. author. aut http://id.loc.gov/vocabulary/relators/aut 86737 Indeterminacy, Vagueness, and Truth [electronic resource] : The Boolean Many-Valued Approach / by Ken Akiba. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XV, 145 p. 26 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 2542-8292 ; 493 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. 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. Science Philosophy. 63307 Logic. 70674 Philosophy of Science. 68560 Logic. 70674 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031741746 Printed edition: 9783031741760 Printed edition: 9783031741777 Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 2542-8292 ; 493 72350 https://doi.org/10.1007/978-3-031-74175-3 ZDB-2-REP ZDB-2-SXPR 64556 64556