AGSIR Publisher

IJMRI | International Journal of Multidisciplinary Research and Innovation
Published: September 28, 2026 | Vol. 1 Issue 4 | ISSN: 3139-5902
Research Article

True sustainability thinking 108: From Domain-Specific Impossibility Theorems to a General Impossibility Theorem: Linking the Degree of Conjuncturality Framework and the Degree of Externality Production Framework

Lucio Muñoz1✉
1 Independent qualitative comparative researcher / consultant

Abstract

There are domain-specific and general impossibility theorems. For example, the arrow impossibility theorem is an independent decision-making based impossibility theorem where it is not possible to aggregate independent preferences, and hence it is a domain specific impossibility theorem. The critical problem-solving impossibility theorem is a pollution production-based impossibility theorem where it is not possible to solve a pollution production problem using pollution production means of production, and therefore, this too is a domain specific impossibility theorem. The general impossibility theorem is one where the structural natures of the components do not allow you to reach the desired outcome. Among the goals of this paper is to link the degree of conjuncturality framework and the degree of externality production framework to link domain-specific impossibility theorems and highlight the general nature and implications of placing domain-specific impossibility theorems within the degree of possibility framework.
Keywords: Impossibility Theorem; Arrow Impossibility Theorem; Critical Problem-Solving; Degree of Possibility; Externality Production.

References

  1. Muñoz, Lucio, 2025a. True sustainability thinking 103: Golden paradigms and flawed paradigms under the general critical problem-solving impossibility zone theory’s eye: What happens to the critical problem at hand when golden paradigms are assumed to be flawed paradigms and vise a versa? What are the implications of this? In: CEBEM-REDESMA Boletin, Año 19, Nº 12, November, La Paz, Bolivia
  2. Muñoz, Lucio, 2025b. Environmental sustainability thought 102: The theory of how to link the critical pollution production generation problem with the critical pollution production solving problem step by step to point out expected problem solutions and failures? What are the implications of doing this?. In CEBEM-REDESMA Boletin, Año 19, Nº 10, October, La Paz, Bolivia.
  3. Muñoz, Lucio, 2026a. True Sustainability Thinking 106: Placing the Independent Choice Impossibility Theorem and the Fully Conjunctural Possibility Theorem under the Degree of Conjuncturality Framework: Revealing the Structural Continuum from Independent to Codependent Choice Aggregation, CEBEM-REDESMA Boletin, Año 20, Nº 8, August, La Paz, Bolivia.
  4. Muñoz, Lucio, 2026b. True Sustainability Thinking 107: Placing the critical problem-solving impossibility Theorem and the full critical problem-solving possibility theorem under the degree of externality production framework: Revealing the externality production continuum from full cost externalization to full no cost externalization, In: ISRG Journal of Economics and Finance (ISRGJEF), Vol. 3, Issue 4, Pp. 36-44, July-August. DOI: https://doi.org/10.5281/ZENODO.22075289.
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