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viernes, 10 de septiembre de 2010

fucking paradox

You can define a set to contain anything (or all of whatever fulfills that quality), for example an apple might not be in a set which contains apples, but an orange will be in the set which contains all oranges. Now, there are some sets which can contain themselves (ie. the set of sets which contain sets contains itself because it contains sets)

Now, heres the fun part, imagine a set which contains all sets which do not contain themselves. Does this set contain itself?

Does the "set of all sets which do not contain themselves" contain itself?

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