Transparent Quantification into Hyperintensional objectual attitudes
Result description
We demonstrate how to validly quantify into hyperintensional contexts involving non-propositional attitudes like seeking, solving, calculating, worshipping, and wanting to become. We describe and apply a typed extensional logic of hyperintensions that preserves compositionality of meaning, referential transparency and substitutivity of identicals also in hyperintensional attitude contexts. We specify and prove rules for quantifying into hyperintensional contexts. These rules presuppose a rigorous methodfor substituting variables into hyperintensional contexts, and the method will be described. We prove the following. First, it is always valid to quantify into hyperintensional attitude contexts and over hyperintensional entities. Second, factive empirical attitudes (e.g. finding the site of Troy) validate, furthermore, quantifying over intensions and extensions, and so do non-factive attitudes, both empirical and non-empirical (e.g. calculating the last decimal of the expansion of Pi),
Keywords
Transparent Intensional Logicramified type hierarchystructured meaningextensional logic of hyperintensionsobjectual attitudenon-propositional attitudequantifying-inHyperintensional context
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Transparent Quantification into Hyperintensional objectual attitudes
Original language description
We demonstrate how to validly quantify into hyperintensional contexts involving non-propositional attitudes like seeking, solving, calculating, worshipping, and wanting to become. We describe and apply a typed extensional logic of hyperintensions that preserves compositionality of meaning, referential transparency and substitutivity of identicals also in hyperintensional attitude contexts. We specify and prove rules for quantifying into hyperintensional contexts. These rules presuppose a rigorous methodfor substituting variables into hyperintensional contexts, and the method will be described. We prove the following. First, it is always valid to quantify into hyperintensional attitude contexts and over hyperintensional entities. Second, factive empirical attitudes (e.g. finding the site of Troy) validate, furthermore, quantifying over intensions and extensions, and so do non-factive attitudes, both empirical and non-empirical (e.g. calculating the last decimal of the expansion of Pi),
Czech name
—
Czech description
—
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
—
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Synthese
ISSN
0039-7857
e-ISSN
—
Volume of the periodical
192
Issue of the periodical within the volume
3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
43
Pages from-to
635-677
UT code for WoS article
—
EID of the result in the Scopus database
—
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
IN - Informatics
Year of implementation
2014