Tossup

Mereology (“mee-ree-ology”) unproblematically incorporates an analogue of these objects’ rule of unrestricted comprehension, which was originally called Basic Law V (“five”). Type theory was developed to resolve a paradox about these objects, which is often compared to a barber who can’t shave himself. (10[2]-5[1])Gottlob Frege (-5[1])(“FRAY-guh”) defined numbers as these objects, which is also done in Zermelo-Frankel (10[1])theory. (10[1])The naïve theory of these objects is subject to Russell’s paradox, which concerns one of these objects (10[1])containing all of these objects (10[2])that do not contain themselves. De Morgan’s laws axiomatize the union and intersection operations on these objects. (10[1])For 10 points, name these unordered collections of objects. ■END■ (10[2])

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