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@proceedings{1311215,
author = {Raclavský, Jiří},
booktitle = {5th International Congress of Universal Logic 2015 (Unilog 2015), 25-30 June 2015, Istanbul, Turkey},
keywords = {type theory; quantification; hyperintensional logic},
language = {eng},
note = {(konf. abstrakt)},
title = {Logic as Universal Language and Quantification over Orders and Types within Type Theory},
year = {2015}
}
TY - CONF
ID - 1311215
AU - Raclavský, Jiří
PY - 2015
TI - Logic as Universal Language and Quantification over Orders and Types within Type Theory
N1 - (konf. abstrakt)
KW - type theory
KW - quantification
KW - hyperintensional logic
N2 - My main goal in this talk is to show how a particular type theory can fulfil a role of universal logical language. I will demonstrate how to properly quantify over orders and types in an extended type theory -- which shows its expressibility. I will point at some further possibilities and also limits of extending such type theory. I will conclude that the extended type theory, which is capable to discuss 'lower-level' type-theories, will not result in a hierarchy - which shows its universality.
ER -
RACLAVSKÝ, Jiří. Logic as Universal Language and Quantification over Orders and Types within Type Theory. In \textit{5th International Congress of Universal Logic 2015 (Unilog 2015), 25-30 June 2015, Istanbul, Turkey}. 2015.
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