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, (10[1])which is often compared to a barber who can’t shave himself. (10[1]-5[1])Gottlob Frege (“FRAY-guh”) defined numbers as these objects, which is also done in Zermelo-Frankel theory. The naïve theory of these objects is subject to Russell’s paradox, which concerns one of these objects containing all of these objects that do not contain themselves. (10[1])De Morgan’s laws axiomatize the union and intersection operations on these objects. For 10 points, name these unordered collections of objects. ■END■ (10[1])

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