000 02572naaaa2200301uu 4500
001 https://directory.doabooks.org/handle/20.500.12854/72067
005 20220219184054.0
020 _aoso/9780198791522.001.0001
024 7 _a10.1093/oso/9780198791522.001.0001
_cdoi
041 0 _aEnglish
042 _adc
072 7 _aCFA
_2bicssc
072 7 _aHPL
_2bicssc
100 1 _aFlorio, Salvatore
_4auth
700 1 _aLinnebo, Øystein
_4auth
245 1 0 _aThe Many and the One : A Philosophical Study of Plural Logic
260 _aOxford
_bOxford University Press
_c2021
300 _a1 electronic resource (336 p.)
506 0 _aOpen Access
_2star
_fUnrestricted online access
520 _aPlural logic has become a well-established subject, especially in philosophical logic. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main applications, the book provides a systematic analysis of the relation between this logic and other theoretical frameworks such as set theory, mereology, higher-order logic, and modal logic. The applications of plural logic rely on two assumptions, namely that this logic is ontologically innocent and has great expressive power. These assumptions are shown to be problematic. The result is a more nuanced picture of plural logic’s applications than has been given so far. Questions about the correct logic of plurals play a central role in the last part of the book, where traditional plural logic is rejected in favor of a “critical” alternative. The most striking feature of this alternative is that there is no universal plurality. This leads to a novel approach to the relation between the many and the one. In particular, critical plural logic paves the way for an account of sets capable of solving the set-theoretic paradoxes.
540 _aCreative Commons
_fhttps://creativecommons.org/licenses/by-nc-nd/4.0/
_2cc
_4https://creativecommons.org/licenses/by-nc-nd/4.0/
546 _aEnglish
650 7 _aPhilosophy of language
_2bicssc
650 7 _aPhilosophy: logic
_2bicssc
653 _aplurals, plural logic, set theory, mereology, higher-order logic, absolute generality, modality, singularism
856 4 0 _awww.oapen.org
_uhttps://library.oapen.org/bitstream/20.500.12657/50697/1/9780198791522.pdf
_70
_zDOAB: download the publication
856 4 0 _awww.oapen.org
_uhttps://directory.doabooks.org/handle/20.500.12854/72067
_70
_zDOAB: description of the publication
999 _c36031
_d36031