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- Title
EXISTENTIAL IMPORT AND RELATIONS OF CATEGORICAL AND MODAL CATEGORICAL STATEMENTS.
- Authors
Raclavský, Jiří
- Abstract
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 higherorder 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.
- Subjects
QUADRUPLE systems (Combinatorics); LOGIC; TYPE theory; SQUARE; CATEGORIES (Mathematics)
- Publication
Logic & Logical Philosophy, 2018, Vol 27, Issue 3, p271
- ISSN
1425-3305
- Publication type
Article
- DOI
10.12775/LLP.2017.026