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Timeline for answer to Most intricate and most beautiful structures in mathematics by Andrew D. King

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Dec 15, 2010 at 3:27 comment added Andrew D. King Gil: For the reason that it can easily demonstrate the existence of a graph with a beautiful and intricate structure without explicitly exhibiting it. Although you could argue that we may as well say that a coin flip is is an intricate and beautiful structure. Also, it should maybe be disqualified by your "single object" specification.
Dec 15, 2010 at 0:16 comment added Yemon Choi David: isn't that graph also known as "the" random graph on a countably infinite vertex set?
Dec 14, 2010 at 23:57 comment added David Roberts I would say the Erdős–Renyi/Rado graph en.wikipedia.org/wiki/Rado_graph rather than this, if you're looking for something from graph theory. This occurs as the Fraïssé limit of the category of finite graphs and embeddings golem.ph.utexas.edu/category/2009/11/fraisse_limits.html
Dec 14, 2010 at 21:45 comment added Gil Kalai What philosophical reasons?
Dec 14, 2010 at 20:29 history answered Andrew D. King CC BY-SA 2.5