On the Formal Contextuality of Nontrivial Propositional Knowledge
Year: 2025
Type: article
Abstract: This paper provides a rigorous model-theoretic account of the contextuality of propositional knowledge. We demonstrate that any nontrivial propositional sentence in a first-order language has a truth value that depends intrinsically on the choice of structure and valuation. Building on this elementary semantic fact, we argue that knowledge claims about such propositions are necessarily context-dependent. The treatment uses minimal formal machinery, specifically Tarski-style semantics, to clarify the logical foundations of the philosophical claim that “all knowledge is contextual.” Examples from mathematics, science, and ordinary language illustrate the practical implications of this result.
Author: Md. Shaikhul Hadis Nazat
Language: English
Subfield: Philosophy
Field: Arts and Humanities
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7107857335
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