Given a structure, say for example, $(\mathbb{R};+,*,0,1,<)$, I know the definition of the first-order theory of that structure. But is there such a thing as the second-order theory of a structure, and if so, what is the definition of it?
2026-04-10 21:37:50.1775857070
Is there such a thing as the second-order theory of a structure?
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