Is multiset consequence trivial?

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F21%3A00466816" target="_blank" >RIV/67985807:_____/21:00466816 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s11229-016-1209-7" target="_blank" >http://dx.doi.org/10.1007/s11229-016-1209-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11229-016-1209-7" target="_blank" >10.1007/s11229-016-1209-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Is multiset consequence trivial?

Popis výsledku v původním jazyce

Dave Ripley has recently argued against the plausibility of multiset consequence relations and of contraction-free approaches to paradox. For Ripley, who endorses a nontransitive theory, the best arguments that buttress transitivity also push for contraction - whence it is wiser for the substructural logician to go nontransitive from the start. One of Ripley’s allegations is especially insidious, since it assumes the form of a trivialisation result: it is shown that if a multiset consequence relation can be associated to a closure operator in the expected way, then it necessarily contracts. We counter Ripley’s objection by presenting an approach to multiset consequence that escapes this trap. This approach is multiple-conclusioned in a heterodox way, for multiple succedents are given a conjunctive, rather than a disjunctive reading. Finally, we address a further objection by French and Ripley to the effect that the informational interpretation of sequents in (affine) linear logic does not motivate cut.

Název v anglickém jazyce

Is multiset consequence trivial?

Popis výsledku anglicky

Dave Ripley has recently argued against the plausibility of multiset consequence relations and of contraction-free approaches to paradox. For Ripley, who endorses a nontransitive theory, the best arguments that buttress transitivity also push for contraction - whence it is wiser for the substructural logician to go nontransitive from the start. One of Ripley’s allegations is especially insidious, since it assumes the form of a trivialisation result: it is shown that if a multiset consequence relation can be associated to a closure operator in the expected way, then it necessarily contracts. We counter Ripley’s objection by presenting an approach to multiset consequence that escapes this trap. This approach is multiple-conclusioned in a heterodox way, for multiple succedents are given a conjunctive, rather than a disjunctive reading. Finally, we address a further objection by French and Ripley to the effect that the informational interpretation of sequents in (affine) linear logic does not motivate cut.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA13-14654S" target="_blank" >GA13-14654S: Neklasické výrokové a predikátové logiky: přístup založený na uspořádání</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Synthese

ISSN

0039-7857

e-ISSN

1573-0964

Svazek periodika

199

Číslo periodika v rámci svazku

Suppl. 3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

741-765

Kód UT WoS článku

000742032000011

EID výsledku v databázi Scopus

2-s2.0-84986278287