Absurdity as the impossible command in natural deduction

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Absurdity as the impossible command in natural deduction

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Absurdity as the impossible command in natural deduction

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

60301 - Philosophy, History and Philosophy of science and technology

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Theoria

ISSN

0040-5825

e-ISSN

1755-2567

Svazek periodika

91

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

20

Strana od-do

25-44

Kód UT WoS článku

001343817900001

EID výsledku v databázi Scopus

2-s2.0-85207931973