Polymathematics: Is mathematics a single science or a set of arts?

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Cognitive Development of Proof (2011, background): “Mathematical works do consist of proofs, just as poems do consist of characters (Arnold, 2000, p. 403).”
Abelian ideals in a Borel subalgebra of a complex simple Lie algebra (2002, background): “e precisely the simply laced ones in Deligne’s family (see [Del] and follow-up papers by various authors). Further numerology pertaining to the types E 6, E 7, E 8 can be found in the paper of Arnold [Arn] about trinities. For w∈Wone deﬁnes Φw := Φ + ∩wΦ−, the set of positive roots which are of the ”