Generative Axiomatic Structure of Mind and Cognition

June 4, 2026Open Access

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Key Points

The paper aims to establish a criterion for evaluating definitions based on their generativity and to propose a new axiomatic structure for concepts in cognition.
Examine four prior approaches to defining information and consciousness: Shannon, Bateson, Tononi, Floridi.
Present a system of seven non-recursive definitions based on one primitive (being).
Apply the generativity criterion to compare existing definitions and assess their effectiveness.
The proposed system generates nineteen derived concepts while using zero new primitives.
Shannon's definition required multiple downstream theories; Floridi's produced seven constructions in eight years.
The new system demonstrates higher generativity by yielding a broader range of concepts from a single foundation.

Proposes a criterion for evaluating philosophical definitions using generativity in cognition, suggesting improved theoretical frameworks.

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Vitalii Kablukov (2026) studied this question.

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