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Comparing Axiomatic Theories of Truth [PDF]
AT_PUBLICATION
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AXIOMATIZING SEMANTIC THEORIES OF TRUTH? [PDF]
AbstractWe discuss the interplay between the axiomatic and the semantic approach to truth. Often, semantic constructions have guided the development of axiomatic theories and certain axiomatic theories have been claimed to capture a semantic construction. We ask under which conditions an axiomatic theory captures a semantic construction.
Fischer, Martin +3 more
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Axiomatizing Kripke's theory of truth
AbstractWe investigate axiomatizations of Kripke's theory of truth based on the Strong Kleene evaluation scheme for treating sentences lacking a truth value. Feferman's axiomatization KF formulated in classical logic is an indirect approach, because it is not sound with respect to Kripke's semantics in the straightforward sense: only the sentences that
Halbach, Volker, Horsten, Leon
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Relative Truth Definability of Axiomatic Truth Theories
AbstractThe present paper suggests relative truth definability as a tool for comparing conceptual aspects of axiomatic theories of truth and gives an overviewof recent developments of axiomatic theories of truth in the light of it. We also show several new proof-theoretic results via relative truth definability including a complete answer to the ...
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Provably True Sentences Across Axiomatizations of Kripke’s Theory of Truth [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Axiomatics for Disquotational Truth Theory and Non-Conservativity Argument
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.
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Axiomatic theories of supervaluational truth: completing the picture
Supervaluational fixed-point theories of formal truth aim to amend an important shortcoming of fixed-point theories based on the Strong Kleene logic, namely, accounting for the truth of classical validities. In a celebrated paper, Andrea Cantini proposed an axiomatization of one such supervaluational theory of truth, which he called VF, and which ...
Dopico, Pablo, Hayashi, Daichi
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The Holomorphic Architecture: Rotation as Computation --- A Generative AI Foundational Framework
Abstract Contemporary AI processes "rotation" while believing it is processing "points." This cognitive blind spot is not an engineering oversight, but an inevitable consequence of axiomatic limitations: real-number parameter spaces, the separation of ...
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Axiomatic Theories of Truth, Bounded Induction and Reflection Principles
151176
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Hilbert's Early Metatheory Revisited. [PDF]
Giovannini EN, Schiemer G.
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