Absurdity as the impossible command in natural deduction
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F25%3A00616631" target="_blank" >RIV/67985955:_____/25:00616631 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1111/theo.12567" target="_blank" >https://doi.org/10.1111/theo.12567</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1111/theo.12567" target="_blank" >10.1111/theo.12567</a>
Alternative languages
Result language
angličtina
Original language name
Absurdity as the impossible command in natural deduction
Original language description
In this paper, we propose a new approach to absurdity in the context of natural deduction for intuitionistic and classical logic. It combines the aspects of both the logical approach, which treats absurdity as a propositional constant, and the structural approach, which treats absurdity as a structural punctuation mark signalling the dead end of derivations. In particular, we will treat absurdity as an impossible command, that is, a speech act composed of an imperative force indicator, and the false propositional constant, that is, a proposition that cannot be true by definition. In return, we obtain a framework that constitutes a middle ground between the logical and structural approaches. For example, it allows us to consider the ex falso quodlibet rule as a kind of structural rule, specifically, a semi-structural rule, and at the same time also maintain that negation can be reduced to implication of absurdity, specifically, to its propositional content.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
60301 - Philosophy, History and Philosophy of science and technology
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Theoria
ISSN
0040-5825
e-ISSN
1755-2567
Volume of the periodical
91
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
20
Pages from-to
25-44
UT code for WoS article
001343817900001
EID of the result in the Scopus database
2-s2.0-85207931973