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100 1 _aAkiba, Ken.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986737
245 1 0 _aIndeterminacy, Vagueness, and Truth
_h[electronic resource] :
_bThe Boolean Many-Valued Approach /
_cby Ken Akiba.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXV, 145 p. 26 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,
_x2542-8292 ;
_v493
505 0 _aPreface -- 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.
520 _aThis 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.
650 0 _aScience
_xPhilosophy.
_963307
650 0 _aLogic.
_970674
650 1 4 _aPhilosophy of Science.
_968560
650 2 4 _aLogic.
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031741746
776 0 8 _iPrinted edition:
_z9783031741760
776 0 8 _iPrinted edition:
_z9783031741777
830 0 _aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,
_x2542-8292 ;
_v493
_972350
856 4 0 _uhttps://doi.org/10.1007/978-3-031-74175-3
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