Topic-Theoretic Extensions of Analytic Implication

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F23%3A00585432" target="_blank" >RIV/67985807:_____/23:00585432 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1215/00294527-2023-0019" target="_blank" >https://doi.org/10.1215/00294527-2023-0019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1215/00294527-2023-0019" target="_blank" >10.1215/00294527-2023-0019</a>

Result language
angličtina
Original language name
Topic-Theoretic Extensions of Analytic Implication
Original language description
Like many intensional logics, William Parry’s logic of analytic implication PAI admits extensions determined by imposing semantic conditions on its account of modality. PAI is unique, however, in its allowing a second dimension—a topic-theoretic dimension—along which extensions can be defined. The recent introduction by Francesco Berto of topic-sensitive intentional modals (TSIMs)—which disagree with PAI on this type of condition—provide further motivations to examine such topic-theoretic extensions. In this paper, we introduce, motivate, and characterize a number of such extensions of PAI, paying special attention to applications to Berto’s framework and to ways in which the modal and topic-theoretic dimensions influence one another.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-01137S" target="_blank" >GA22-01137S: Metamathematics of substructural modal logics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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