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14505 | Some questions concern mathematical entities, rather than whole structures [Koslicki] |
Full Idea: Those who hold that not all mathematical questions can be concerned with structural matters can point to 'why are π or e transcendental?' or 'how are the prime numbers distributed?' as questions about particular features in the domain. | |
From: Kathrin Koslicki (The Structure of Objects [2008], 9.3.1 n6) | |
A reaction: [She cites Mac Lane on this] The reply would have to be that we only have those particular notions because we have abstracted them from structures, as in deriving π for circles. |