"But in the eyes of contemporary structuralist mathematicians, like the Bourbaki, the Erlanger Program amounts to only a partial victory for structuralism, since they want to subordinate all mathematics, not just geometry, to the idea of structure. Classical mathematics is a quite heterogeneous collection of algebra, theory of numbers, analysis, geometry, probability calculus, and so on. Each of these has its own delimited subject matter; that is, each is thought to deal with a certain “species” of objects... Transformations may be disengaged from the objects subject to such transformation and the group defined solely in terms of the set of formations. The Bourbaki program consists essentially in extending this procedure by subjecting mathematical elements of every variety, regardless of the standard mathematical domain to which they belong, to this sort of “reflective abstraction” so as to arrive at structures of maximum generality., since they want to subordinate all mathematics, not just geometry, to the idea of structure."
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pages 23-24.
https://en.wikiquote.org/wiki/Nicolas_Bourbaki
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