= Paradoxes of set theory
{wiki=Paradoxes_of_set_theory}
The paradoxes of set theory are surprising or contradictory results that arise from naive set theories, particularly when defining sets and their properties without sufficient constraints. These paradoxes have played a crucial role in the development of modern mathematics, leading to more rigorous foundations. Here are some of the most well-known paradoxes: 1. **Russell's Paradox**: Proposed by Bertrand Russell, this paradox shows that the set of all sets that do not contain themselves cannot consistently exist.
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