Faithfulness for naive validity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18460%2F19%3A50016070" target="_blank" >RIV/62690094:18460/19:50016070 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007/s11229-018-1687-x.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007/s11229-018-1687-x.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11229-018-1687-x" target="_blank" >10.1007/s11229-018-1687-x</a>

Result language
angličtina
Original language name
Faithfulness for naive validity
Original language description
Nontransitive responses to the validity Curry paradox face a dilemma that was recently formulated by Barrio, Rosenblatt and Tajer. It seems that, in the nontransitive logic ST enriched with a validity predicate, either you cannot prove that all derivable metarules preserve validity, or you can prove that instances of Cut that are not admissible in the logic preserve validity. I respond on behalf of the nontransitive approach. The paper argues, first, that we should reject the detachment principle for naive validity. Secondly, I show how to add a validity predicate to ST while avoiding the dilemma.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
60301 - Philosophy, History and Philosophy of science and technology

Project
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Continuities
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

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