TL;DR
This paper proposes a solution to truth paradoxes using a two-valued semantics based on the maximal intrinsic fixed point of the strong Kleene three-valued logic, providing a new foundation for truth predicates.
Contribution
It introduces a novel semantics for truth predicates grounded in fixed point theory and three-valued logic, resolving classical paradoxes.
Findings
Solution to truth paradoxes established
Two-valued semantics derived from three-valued logic
Provides a consistent foundation for truth predicates
Abstract
On the basis of elementary thinking about language functioning, a solution of truth paradoxes is given and a corresponding semantics of a truth predicate is founded. It is shown that it is precisely the two-valued description of the maximal intrinsic fixed point of the strong Kleene three-valued semantics.
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Taxonomy
TopicsLogic, Reasoning, and Knowledge · Semantic Web and Ontologies · Natural Language Processing Techniques