Description

• Title:
  Existential Import and Relations of Categorical and Modal Categorical Statements
• Creator:
  Raclavský, Jiří
• Description:
  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.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Logic and Logical Philosophy
• Date:
  2017.08.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 27 No. 3 (2018): September; 271-300;
  Logic and Logical Philosophy; Tom 27 Nr 3 (2018): September; 271-300;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/LLP.2017.026/12818
• Subject:
  existential import;
  categorical statements;
  Square of Opposition;
  properties;
  quantified modal logic;
  partiality;
  type theory;
  03B99;
  03A99;
  03B45;
  03B15;
  03B60;
  03B65
• Identifier: https://apcz.umk.pl/LLP/article/view/LLP.2017.026
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text