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Titlebook: Indeterminacy, Vagueness, and Truth; The Boolean Many-Val Ken Akiba Book 2024 The Editor(s) (if applicable) and The Author(s), under exclus

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发表于 2025-3-21 20:04:05 | 显示全部楼层 |阅读模式
书目名称Indeterminacy, Vagueness, and Truth
副标题The Boolean Many-Val
编辑Ken Akiba
视频video
概述Sets forth the novel conception of classical many-valued logic and applies it to solve philosophical problems.Carefully investigates the logical relations among 3 approaches: Boolean many-valued, prec
丛书名称Synthese Library
图书封面Titlebook: Indeterminacy, Vagueness, and Truth; The Boolean Many-Val Ken Akiba Book 2024 The Editor(s) (if applicable) and The Author(s), under exclus
描述.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 bu
出版日期Book 2024
关键词Indeterminacy; Vagueness; Truth; The Fission Problem; the Sorites Paradox; The Liar Paradox; Boolean Many-
版次1
doihttps://doi.org/10.1007/978-3-031-74175-3
isbn_softcover978-3-031-74177-7
isbn_ebook978-3-031-74175-3Series ISSN 0166-6991 Series E-ISSN 2542-8292
issn_series 0166-6991
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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978-3-031-74177-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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The Fission Problem and the Indeterminacy of Personal Identity,ideas of the Boolean many-valued approach. Suppose that person . goes into surgery, in which his memory is transplanted to two cloned bodies of his while his original body is destroyed, and that two persons, . and ., come out of the surgery, each thinking that he is .. In this situation, it is reaso
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Vagueness, the Sorites Paradox, and Precisifications,he relation between the Boolean many-valued approach and another, popular, approach to vagueness, the precisificational approach. It is shown that the Boolean value of a sentence can be identified with the set of precisifications in which the sentence is true. A notion of logical consequence, called
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