Detailed Information on Publication Record
2019
Limitation of logical space puts restrictions on the explication of the notions of knowledge, belief, necessity and truth
RACLAVSKÝ, JiříBasic information
Original name
Limitation of logical space puts restrictions on the explication of the notions of knowledge, belief, necessity and truth
Authors
RACLAVSKÝ, Jiří (203 Czech Republic, guarantor, belonging to the institution)
Edition
Studia Logica - Trends in Logic 19, Moscow, Russia, 2.-4. 10. 2019, 2019
Other information
Language
English
Type of outcome
Prezentace na konferencích
Field of Study
60301 Philosophy, History and Philosophy of science and technology
Country of publisher
Russian Federation
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/00216224:14210/19:00118736
Organization unit
Faculty of Arts
Keywords in English
logical space; higher-order modal logic; paradoxes about propositions; kaplan's paradoxr paradox
Tags
Tags
International impact, Reviewed
Změněno: 21/3/2022 13:16, Mgr. et Mgr. Lucie Racyn
Abstract
V originále
I demonstrate that (i) the limitation of logical space (entailed by Cantor's theorem) imposes (ii) limits to the explication of certain important 'propositional' ('intentional') notions, e.g. knowledge. A naive approach to the limitations of both types leads to a group of famous paradoxes, e.g. the Liar Paradox, the Knower paradox. I establish some theorems related to (i) and (ii), partly utilising the paradoxes. They demonstrate similarities and also dissimilarities between the notions of knowledge, necessity, truth, belief and assertion. Unlike Montague, who treated the notions as predicates applied to coding numbers of formulas, I treat them as applied to hyperintensional, fine-grained meanings of sentences. The logical framework employed is a ramified version of (a Church-like) simple theory of types.
Links
| GA19-12420S, research and development project |
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