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January 18, 20260 citationsOpen Access

The Boundary Law of Anadihilo: A Formal Resolution to Russell's Paradox and Set-Theoretic Recursion

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NDNitin Dagar

Key Points

  • This research aims to resolve Russell's Paradox and other structural issues in Set Theory using the Boundary Law of Anadihilo.
  • Definition of Anadihilo as an Absolute Void preceding functional Zero (0)
  • Establishment of the Axiom of Normalization
  • Introduction of three systemic laws: Identity Shift, Non-Recursion, and Magnitude Equilibrium
  • Proof of Global Systemic Overwrite (GSO) mechanism
  • Demonstrated that traditional frameworks like ZFC fail to account for systemic boundaries.
  • Showed that self-referential paradoxes lead to GSO instead of logical collapse.
  • Proved that the 'Container' of all sets is distinct from its 'Contents', allowing for neutralization of recursion.

Abstract

Reference: Expansion of "ANADIHILO: The Ontological Primacy of the Absolute Void and the Formal Logic of Systemic Initialization" Abstract: This article formalizes the Boundary Law of Anadihilo to resolve structural paradoxes within Set Theory, specifically Russell’s Paradox. Traditional frameworks, such as ZFC, fail to account for a primordial systemic boundary, leading to recursive loops. By defining Anadihilo as an Absolute Void that precedes the functional Zero (0), this framework establishes the Axiom of Normalization. We prove that self-referential paradoxes trigger a Global Systemic Overwrite (GSO) rather than logical collapse 9999. Through three systemic laws—Identity Shift, Non-Recursion, and Magnitude Equilibrium—we demonstrate that the "Container" of all sets is ontologically distinct from its "Contents," thereby neutralizing recursion through systemic re-initialization.

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Cite This Study

Nitin Dagar (2026) studied this question.

synapsesocial.com/papers/696c785beb60fb80d13968d9https://doi.org/10.5281/zenodo.18265144
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