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Fatal errors and misuse of mathematics in the Hong-Page Theorem and Landemore's epistemic argument

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  • 'Alvaro Romaniega

Abstract

In the pursuit of understanding collective intelligence, the Hong-Page Theorems have been presented as cornerstones of the interplay between diversity and ability. However, upon rigorous examination, there seem to be inherent problems and misinterpretations within these theorems. H\'el\`ene Landemore's application of these results in her epistemic argument and her political proposal showcases a invalid use of mathematical principles. This paper critically dissects the Hong-Page Theorems, revealing significant inconsistencies and oversights, and underscores the indispensable role of ``ability" in group problem-solving contexts. This paper aims not to undermine the importance of diversity, but rather to highlight the dangers of misusing mathematical principles and the necessity for a more careful analysis of mathematical results when applying them to social sciences.d the necessity for a more nuanced comprehension of mathematical results when applying them to social sciences.

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  • 'Alvaro Romaniega, 2023. "Fatal errors and misuse of mathematics in the Hong-Page Theorem and Landemore's epistemic argument," Papers 2307.04709, arXiv.org, revised Jan 2025.
    • Handle: RePEc:arx:papers:2307.04709
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    References listed on IDEAS

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    1. Lu Hong & Scott E. Page, 1998. "Diversity and Optimality," Research in Economics 98-08-077e, Santa Fe Institute.
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