The Rule of Existential Generalisation, Its Derivability and Formal Semantics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14210%2F21%3A00119214" target="_blank" >RIV/00216224:14210/21:00119214 - isvavai.cz</a>

Result on the web

<a href="https://iuc.hr/programme/1480" target="_blank" >https://iuc.hr/programme/1480</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

The Rule of Existential Generalisation, Its Derivability and Formal Semantics

Original language description

My contribution addresses various issues concerning the rule of existential generalisation (EG). My solutions are framed within a higher-order partial type theory TT* that is equipped with a natural deduction system ND-TT*. I derive (EG) from its primitive rules, especially the rule of existential quantifier introduction (Exists-I). Similarly for another derived rule (Exists-I-eta). Substitution (t/x) of (EG) is fully and adequately specified inside the system and so (EG) is uniformly applicable within extensional, intensional and even hyperintensional contexts (we face no problems with quantifying in).

Czech name

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Czech description

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Type

O - Miscellaneous

CEP classification

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OECD FORD branch

60301 - Philosophy, History and Philosophy of science and technology

Project

<a href="/en/project/GA19-12420S" target="_blank" >GA19-12420S: Hyperintensional Meaning, Type Theory and Logical Deduction</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů