RT Journal Article
T1 Naive truth and naive logical properties
A1 Zardini, Elia
AB A unified answer is offered to two distinct fundamental questions: whether a nonclassical solution to the semantic paradoxes should be extended to other apparently similar paradoxes (in particular, to the paradoxes of logical properties) and whether a nonclassical logic should be expressed in a nonclassical metalanguage. The paper starts by reviewing a budget of paradoxes involving the logical properties of validity, inconsistency, and compatibility. The author's favored substructural approach to naive truth is then presented and it is explained how that approach can be extended in a very natural way so as to solve a certain paradox of validity. However, three individually decisive reasons are later provided for thinking that no approach adopting a classical metalanguage can adequately account for all the features involved in the paradoxes of logical properties. Consequently, the paper undertakes the task to do better, and, building on the system already developed, introduces a theory in a nonclassical metalanguage that expresses an adequate logic of naive truth and of some naive logical properties.
PB Cambridge University Press
SN 1755-0203
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/131489
UL https://hdl.handle.net/20.500.14352/131489
LA eng
NO Zardini, E. (2014) «Naive truth and naive logical properties», Review of Symbolic Logic, 7(2), pp. 351-384. Disponible en: https://doi.org/10.1017/S1755020314000045
NO At different stages during the writing of the paper, I have benefited from a UNAM Postdoctoral Research Fellowship, from an AHRC Postdoctoral Research Fellowship, and from the FP7 Marie Curie Intra-European Research Fellowship 301493 on A Noncontractive Theory of Naive Semantic Properties: Logical Developments and Metaphysical Foundations (NTNSP), and from the FP7 Marie Curie Initial Training Network 238128 on Perspectival Thoughts and Facts (PETAF).
NO Arts and Humanities Research Council
NO European Commission
NO Ministerio de Ciencia e Innovación (España)
NO Ministerio de Economía y Competitividad (España)
DS Docta Complutense
RD 17 abr 2026