Limitation of logical space puts restrictions on the explication of the notions of knowledge, belief, necessity and truth

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14210%2F19%3A00118736" target="_blank" >RIV/00216224:14210/19:00118736 - isvavai.cz</a>

Alternative codes found

RIV/00216224:14210/19:00113996

Result on the web

<a href="https://sites.google.com/view/trendsinlogic2019/%D0%B3%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0%D1%8F?authuser=0" target="_blank" >https://sites.google.com/view/trendsinlogic2019/%D0%B3%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0%D1%8F?authuser=0</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Limitation of logical space puts restrictions on the explication of the notions of knowledge, belief, necessity and truth

Original language description

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.

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)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

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