Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 2 versions
addClaim

The Zhu-Liang Cognitive Projection Theorem——The Dimensionality of Human Cognition and the Infinite Unfolding of Truth

朱梁认知投影定理——人类认知的维度性与真理的无限展开
Authors: zhu, Jianbing;

The Zhu-Liang Cognitive Projection Theorem——The Dimensionality of Human Cognition and the Infinite Unfolding of Truth

Abstract

Based on the Zhu-Liang Truth Theorem System (Prime Mover Theorem, Metabolism Theorem, Functor Theorem), this paper proposes and proves the Zhu-Liang Cognitive Projection Theorem. The theorem asserts that human cognition of truth is essentially a projection of truth onto finite dimensions. There exists a projection mapping determined by recursive levels: \(H_n: \mathrm{Truth} \rightarrow \|\mathrm{Truth}\|_n\), where \(\|\mathrm{Truth}\|_n\) is the \(n\)-dimensional truncation of truth. Cognitive progress manifests as the elevation of recursive dimension \(n\), while truth itself, as the limit of the infinite recursive sequence \(\{T_n\}_{n=0}^\infty\), forever exceeds complete grasp at any finite dimension. The theorem further reveals that Gödel's Incompleteness Theorem is precisely the manifestation of the Cognitive Projection Theorem within formal systems—undecidable propositions at each level mark the boundary of that level's projection while simultaneously summoning the leap to the next level. This theorem provides a meta-theoretical foundation for understanding the finitude of human cognition, the dynamical mechanism of scientific progress, and the inevitability of carbon-silicon synergy.

Keywords

Zhu-Liang Cognitive Projection Theorem; dimensionality; projection mapping; recursive levels; truth metabolism; Gödel's theorem

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average