Cantor’s Dilemma

Target entity: Cantor’s Dilemma
Context triple: [Carl Djerassi, notableWork, Cantor’s Dilemma]

• A. 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.
• B. Satan, Cantor, and Infinity
  "Satan, Cantor, and Infinity" is a popular logic and mathematics book by Raymond Smullyan that presents puzzles and paradoxes through playful dialogues and stories.
• C. Paradoxes of the Infinite
  Paradoxes of the Infinite is a foundational 19th-century work in the philosophy of mathematics that systematically explores the nature of infinity and anticipates key ideas of modern set theory.
• D. Cantor’s theorem
  Cantor’s theorem is a fundamental result in set theory stating that the power set of any set has a strictly greater cardinality than the set itself, implying there is no largest infinity.
• E. Russell’s paradox
  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.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Cantor’s Dilemma
Target entity description: Cantor’s Dilemma is a science-in-fiction novel by chemist and author Carl Djerassi that explores the ethical and personal tensions surrounding scientific research and priority in discovery.

• A. 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.
• B. Satan, Cantor, and Infinity
  "Satan, Cantor, and Infinity" is a popular logic and mathematics book by Raymond Smullyan that presents puzzles and paradoxes through playful dialogues and stories.
• C. Paradoxes of the Infinite
  Paradoxes of the Infinite is a foundational 19th-century work in the philosophy of mathematics that systematically explores the nature of infinity and anticipates key ideas of modern set theory.
• D. Cantor’s theorem
  Cantor’s theorem is a fundamental result in set theory stating that the power set of any set has a strictly greater cardinality than the set itself, implying there is no largest infinity.
• E. Russell’s paradox
  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.
• F. None of above. chosen