RACLAVSKÝ, Jiří. Belief Attitudes, Fine-Grained Hyperintensionality and Type-Theoretic Logic. 1st ed. London: College Publications, 2020, 243 pp. Studies in Logic 88. ISBN 978-1-84890-334-0.
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Basic information
Original name Belief Attitudes, Fine-Grained Hyperintensionality and Type-Theoretic Logic
Authors RACLAVSKÝ, Jiří (203 Czech Republic, guarantor, belonging to the institution).
Edition 1. vyd. London, 243 pp. Studies in Logic 88, 2020.
Publisher College Publications
Other information
Original language English
Type of outcome Book on a specialized topic
Field of Study 60301 Philosophy, History and Philosophy of science and technology
Country of publisher United Kingdom of Great Britain and Northern Ireland
Confidentiality degree is not subject to a state or trade secret
Publication form printed version "print"
WWW URL
RIV identification code RIV/00216224:14210/20:00114172
Organization unit Faculty of Arts
ISBN 978-1-84890-334-0
Keywords in English belief attitudes; higher-order logic; modal logic; intensional logic; type theory; type-theoretical semantics; intensional type theory; hyperintensionality; modality; intensionality; epistemic paradoxes
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: prof. PhDr. BcA. Jiří Raclavský, Ph.D., učo 7593. Changed: 8/4/2021 21:13.
Abstract
The book Belief Attitudes, Fine-Grained Hyperintensionality and Type-Theoretic Logic offers an extensively elaborated approach to belief attitudes (knowledge, belief, etc.). It provides a thorough and efficient revision of the partial type theory founded by the Czech logician Pavel Tichy (based in New Zealand) and contributes to the current type-theoretic semantics. The type theory receives here a Henkin-style model-theoretic specification and the supplemented Tichy's natural deduction in sequent style provides its proof-theoretic specification. After the analysis of a fragment of natural language, a number of arguments involving belief sentences is examined and adequately modelled. The semantic system employed in this book involves rules for various logical and many extra-logical constants, it is called Transparent Hyperintensional Logic (THL). THL is a higher-order multimodal logic. It is an extensive development of Kuchynka's initial revision of Tichy's Transparent Intensional Logic (TIL). The proposal is tested against well-known paradoxes such as Frege's paradox of identity, Cresswell's paradox of hyperintensional contexts, Hintikka's paradox of logical omniscience, Church-Fitch's paradox of knowability, or Kaplan-Montague's Knower Paradox.
Links
GA16-19395S, research and development projectName: Sémantické pojmy, paradoxy a hyperintenzionální logika založená na moderní rozvětvené teorii typů (Acronym: Sémantické pojmy)
Investor: Czech Science Foundation
GA19-12420S, research and development projectName: Hyperintenzionální význam, teorie typů a logická dedukce (Acronym: Hyperintensionality and Types)
Investor: Czech Science Foundation
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