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This research aims to develop a formal framework for understanding semantic meaning beyond traditional models.

July 27, 2026Open Access

Theory of Semantics - Formal Axiomatic Framework

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Theoretical framework addresses semantic meaning through mathematical models, highlighting cognitive processes.

This research aims to develop a formal framework for understanding semantic meaning beyond traditional models.
Proposed a mathematical model integrating quaternions and topological invariants for semantic representation.
Introduced mechanisms for endogenous symbol generation and source attribution in cognitive processes.
Demonstrated a Gödelian incompleteness theorem relevant to observer constraints and semantic completeness.
Meaning is characterized by the closure of interpretive tension in relation to quaternion signals.
The framework shows how cognitive processes like thinking and dreaming can be mathematically defined.
Proved that no finite observer can achieve complete understanding without active reconfiguration.

Isong Otto Beseka (2026) studied this question.

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