  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
flaws and misinterpretations within these theorems. H\'el\`ene Landemore's
application of these theorems in her epistemic argument and her political
proposal showcases a rather unsettling misuse of mathematical principles. This
paper critically dissects the HongPage 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 nuanced comprehension of
mathematical results when applying them to social sciences.
