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dc.contributor.author
Rosenblatt, Lucas Daniel
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dc.date.available
2022-10-05T14:21:10Z
dc.date.issued
2021-03-11
dc.identifier.citation
Rosenblatt, Lucas Daniel; Towards a Non-classical Meta-theory for Substructural Approaches to Paradox; Springer; Journal of Philosophical Logic; 50; 5; 11-3-2021; 1007-1055
dc.identifier.issn
0022-3611
dc.identifier.uri
http://hdl.handle.net/11336/171956
dc.description.abstract
In the literature on self-referential paradoxes one of the hardest and most challenging problems is that of revenge. This problem can take many shapes, but, typically, it besets non-classical accounts of some semantic notion, such as truth, that depend on a set of classically defined meta-theoretic concepts, like validity, consistency, and so on. A particularly troubling form of revenge that has received a lot of attention lately involves the concept of validity. The difficulty lies in that the non-classical logician cannot accept her own definition of validity because it is given in a classical meta-theory. It is often suggested that this mismatch between the consequence relation of the account being espoused and the consequence relation of the meta-theory is a serious embarrassment. The main goal of the paper is to explore whether certain substructural accounts of the paradoxes can avoid this sort of embarrassment. Typically, these accounts are expressively incomplete, since they cannot assert in the object language that certain invalid arguments are in fact invalid. To overcome this difficulty I develop a novel type of hybrid proof-procedure, one that takes invalidities to be just as fundamental as validities. I prove that this proof-procedure enjoys a number of interesting properties and I analyze the prospects of applying it to languages capable of expressing self-referential statements.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
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dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ANTI-SEQUENTS
dc.subject
NON-CLASSICAL LOGIC
dc.subject
PARADOXES
dc.subject
SUBSTRUCTURAL LOGIC
dc.subject
VALIDITY
dc.subject.classification
Filosofía, Historia y Filosofía de la Ciencia y la Tecnología
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dc.subject.classification
Filosofía, Ética y Religión
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dc.subject.classification
HUMANIDADES
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dc.title
Towards a Non-classical Meta-theory for Substructural Approaches to Paradox
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-09-20T12:01:13Z
dc.identifier.eissn
1573-0433
dc.journal.volume
50
dc.journal.number
5
dc.journal.pagination
1007-1055
dc.journal.pais
Países Bajos
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dc.description.fil
Fil: Rosenblatt, Lucas Daniel. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Departamento de Filosofía; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Parque Centenario. Instituto de Investigaciones Filosóficas. - Sociedad Argentina de Análisis Filosófico. Instituto de Investigaciones Filosóficas; Argentina
dc.journal.title
Journal of Philosophical Logic
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10992-020-09589-y
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s10992-020-09589-y
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