Open AccessAxiomatics for Disquotational Truth Theory and Non-Conservativity Argument
Author(s) -
Aleksandr V. Khlebalin
Publication year - 2019
Publication title -
sibirskij filosofskij žurnal
Language(s) - English
Resource type - Journals
ISSN - 2541-7517
DOI - 10.25205/2541-7517-2019-17-3-17-28
Subject(s) - axiom , argument (complex analysis) , class (philosophy) , axiomatic system , mathematical economics , mathematics , epistemology , perspective (graphical) , key (lock) , calculus (dental) , computer science , philosophy , medicine , biochemistry , chemistry , geometry , computer security , dentistry
The paper considers the possibilities for the axiomatization of disquotational truth theory in perspective of the general S. Shapiro’s non-conservative argument against deflationary concept of truth. It shows that in a generalized formulation, Shapiro’s argument cannot be automatically extended to any axiomatic formulation of the disquotational theory. It also shows that the epistemological justification of the suitable class of substitutions for the T-scheme is the key to constructing an adequate axiomatic disquotational theory.