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January 26, 20260 citationsOpen Access

The Mastery Minimax Principle (MMP)

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MAMurad Ahmadov

Key Points

  • To introduce and define the Mastery Minimax Principle (MMP) as a theoretical framework for understanding mastery inference limitations.
  • Establishes the MMP as a normative theoretical framework.
  • Provides proof sketches and scaling intuition.
  • Offers guidance for replication and further applications.
  • Characterizes irreducible limits on inferring mastery.
  • Provides a stable reference point for future empirical work.
  • Establishes a foundational framework for practical applications.

Abstract

This record introduces the Mastery Minimax Principle (MMP), a normative theoretical framework that characterizes irreducible limits on inferring transferable mastery from finite probes. The deposit establishes priority for the principle and provides a stable reference point for future formal, empirical, or applied work. Supplementary materials include proof sketches, scaling intuition, and guidance for replication.

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Cite This Study

Murad Ahmadov (2026) studied this question.

synapsesocial.com/papers/697703d3722626c4468e8d2ehttps://doi.org/10.5281/zenodo.18358203
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Mastery Lifecycle Initialization (MLI), Emergent Mastery Scalability (EMS), and Reflexive Ecosystem Closure (REC)2026
  2. 2Unified Mastery Meta-Theory (UMMT)2026
  3. 3Collective Mastery Inference (CMI) Under Identifiability Constraints2026
  4. 4The Multiple Millionaires' Problem: New Algorithmic Approaches and Protocols2024 · 1 citations
  5. 5The MATH Principle: A Master Framework for Learning and Teaching Mathematics2025