Existential Import and Relations of Categorical and Modal Categorical Statements

RACLAVSKÝ, Jiří. Existential Import and Relations of Categorical and Modal Categorical Statements. Logic and Logical Philosophy. Torun: Nicolaus Copernicus University Scientific Publishing House, 2018, vol. 27, No 3, p. 271-300. ISSN 1425-3305. Available from: https://dx.doi.org/10.12775/LLP.2017.026.

Basic information

• Original name: Existential Import and Relations of Categorical and Modal Categorical Statements
• Authors: RACLAVSKÝ, Jiří (203 Czech Republic, guarantor, belonging to the institution).
• Edition: Logic and Logical Philosophy, Torun, Nicolaus Copernicus University Scientific Publishing House, 2018, 1425-3305.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 60300 6.3 Philosophy, Ethics and Religion
• Country of publisher: Poland
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• RIV identification code: RIV/00216224:14210/18:00101101
• Organization unit: Faculty of Arts
• Doi: http://dx.doi.org/10.12775/LLP.2017.026
• UT WoS: 000441098800001
• Keywords in English: existential import; categorical statements; Square of Opposition; properties; quantified modal logic; partiality; type theory
• Tags: rivok
• Tags: International impact, Reviewed

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 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.

Links

• GA16-19395S, research and development project: Name: Sémantické pojmy, paradoxy a hyperintenzionální logika založená na moderní rozvětvené teorii typů (Acronym: Sémantické pojmy)

Investor: Czech Science Foundation