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@article{1427922, author = {Raclavský, Jiří}, article_location = {Torun}, article_number = {3}, doi = {http://dx.doi.org/10.12775/LLP.2017.026}, keywords = {existential import; categorical statements; Square of Opposition; properties; quantified modal logic; partiality; type theory}, language = {eng}, issn = {1425-3305}, journal = {Logic and Logical Philosophy}, note = {WOS:000441098800001}, title = {Existential Import and Relations of Categorical and Modal Categorical Statements}, url = {http://apcz.umk.pl/czasopisma/index.php/LLP/article/view/LLP.2017.026}, volume = {27}, year = {2018} }
TY - JOUR ID - 1427922 AU - Raclavský, Jiří PY - 2018 TI - Existential Import and Relations of Categorical and Modal Categorical Statements JF - Logic and Logical Philosophy VL - 27 IS - 3 SP - 271-300 EP - 271-300 PB - Nicolaus Copernicus University Scientific Publishing House SN - 14253305 N1 - WOS:000441098800001 KW - existential import KW - categorical statements KW - Square of Opposition KW - properties KW - quantified modal logic KW - partiality KW - type theory UR - http://apcz.umk.pl/czasopisma/index.php/LLP/article/view/LLP.2017.026 L2 - http://apcz.umk.pl/czasopisma/index.php/LLP/article/view/LLP.2017.026 N2 - I examine the familiar quadruple of categorical statements “Every F is/is not G.”, “Some F is/is not G.” as well as the quadruple of their modal versions “Necessarily, every F is/is not G.”, “Possibly, some F is/is not G.”. I focus on their existential import and its impact on the resulting Squares of Opposition. Though my construal of existential import follows modern approach, I add some extra details which are enabled by framing my definition of existential import within expressively rich higher-order partial type logic. As regards the modal categorical statements, I find that so-called void properties bring existential import to them, so they are the only properties which invalidate subalternation, and thus also contrariety and subcontrariety, in the corresponding Square of Opposition. ER -
RACLAVSKÝ, Jiří. Existential Import and Relations of Categorical and Modal Categorical Statements. \textit{Logic and Logical Philosophy}. Torun: Nicolaus Copernicus University Scientific Publishing House, 2018, roč.~27, č.~3, s.~271-300. ISSN~1425-3305. Dostupné z: https://dx.doi.org/10.12775/LLP.2017.026.
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