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May 21, 2026Open Access

Continuity and Infinity as Descriptive Fictions of Intelligence: Algebraic Dissolution of Analytics from M3(C) Structure

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TT.O.

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Overview

Establishes the nature of continuity and infinity in intelligence frameworks, suggesting profound implications.

Key Points

  • The research questions the necessity of continuity and infinity within intelligence frameworks, proposing they are merely descriptive fictions.
  • Developed from an axiomatic foundation of Cognitional Mechanics (CM) focusing on non-commutativity and redundancy exclusion.
  • Demonstrated operational underivability of limit operations and classified infinity using formal mechanisms.
  • Explored implications on mathematical structures and concepts surrounding physical constants.
  • Continuity and infinity are shown to be operationally underivable constructs, not essential to intelligence.
  • The research dissolves the Platonist-formalist debate surrounding mathematical interpretations.
  • Identified renormalization divergences as artifacts of Tier-3 descriptive systems.

Cite This Study

T.O. (2026) studied this question.

synapsesocial.com/papers/6a0ea188be05d6e3efb604eahttps://doi.org/10.5281/zenodo.20282144
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Also Consider

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  1. 1Continuity and Infinity as Representational Artifacts of Operational Structure: A Structural Theorem from Operatiology and Noology2026
  2. 2Mathematics as the Unique Top-Down Projection of Intelligence: A Structural Theorem from Cognitional Mechanics and Noology2026
  3. 3Mathematics as the Unique Top-Down Projection of Operational Structure: A Structural Theorem from Operatiology and Noology2026
  4. 4M3(C) Necessity in Operatiology: A Structural Theorem from Operatiology and Algebra2026
  5. 5Structural Immanence and Categorical Ascent: The Mathematical Language of Intelligence2026