Räz, Tim
(2017)
The Silent Hexagon: Explaining Comb Structures.
Synthese, 194.
pp. 1703-1724.
ISSN 1573-0964
Abstract
The paper presents, and discusses, four candidate explanations of the structure, and construction, of the bees’ honeycomb. So far, philosophers have used one of these four explanations, based on the mathematical Honeycomb Conjecture, while the other three candidate explanations have been ignored. I use the four cases to resolve a dispute between Christopher Pincock (2012) and Alan Baker (2015) about the Honeycomb Conjecture explanation. Finally, I find that the two explanations focusing on the construction mechanism are more promising than those focusing exclusively on the resulting, optimal structure. The main reason for this is that optimal structures do not uniquely determine the relevant optimiza- tion leading to the optimal structure.
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