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← Logic & PuzzlesWhich outcome occurs when a formal set theory attempts to model collections containing themselves?
A)Theory becomes more computationally efficient
B)Proof complexity uniformly decreases in size
C)Russell's Paradox causes logical contradiction✓
D)The theory becomes trivially consistent
💡 Explanation
Russell’s Paradox arises from unrestricted comprehension in naive set theory, because this allows sets to be defined that contain themselves, leading to a contradiction; therefore, the theory becomes logically inconsistent, rather than more efficient or trivially consistent.
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