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Mathematical Framework for Multi-Dimensional Meaning Systems
1. Fundamental Structure Let’s define a multi-dimensional meaning space Ω where each statement S exists simultaneously across n semantic dimensions. We’ll use concepts from quantum…
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The Architecture of Character: How We Perceive Personality Through Multiple Dimensions
Our ability to perceive personality rests on a remarkable neural and cultural infrastructure that processes information across multiple dimensions simultaneously. When we encounter another person,…
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Applications of Cognitive Thermodynamics: Theory to Practice
1. Practical Implications A. Cognitive Reserve Management The entropy-based framework suggests that cognitive reserve can be mathematically expressed as:CR(t) = E_max – ∫S(t)dt Where: Practical…
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Mathematical Formalization of Cognitive Modalities
1. Base Modalities as Vector Spaces Let’s define our four fundamental cognitive modalities as separate vector spaces: Each space has its own dimensionality (n), reflecting…
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