Triple

Target entity: Russell’s paradox
Context triple: [New Foundations for Mathematical Logic, addresses, Russell’s paradox]

• A. Russell’s paradox chosen
  Russell’s paradox is a foundational logical contradiction in naive set theory that reveals problems with sets that contain themselves, leading to major developments in modern logic and the axiomatization of set theory.
• B. Burali-Forti paradox
  The Burali-Forti paradox is a foundational logical contradiction in set theory that arises from considering the set of all ordinal numbers, showing that such a totality cannot consistently exist as a set.
• C. Barber paradox
  The Barber paradox is a self-referential logical puzzle about a barber who shaves all and only those who do not shave themselves, illustrating a contradiction similar to Russell’s paradox.
• D. Berry paradox
  The Berry paradox is a self-referential logical paradox arising from phrases like “the smallest positive integer not definable in under eleven words,” which appears to define exactly such a number while claiming it cannot be defined.
• E. Cantor’s paradox
  Cantor’s paradox is a foundational result in set theory showing that the “set of all sets” cannot exist because its power set would have a strictly larger cardinality, leading to a contradiction.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.