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  1. Mathematical objects
  2. Abstract object theory
  3. Analytic philosophy
  4. History of mathematics
  5. Mathematics
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Set (mathematics) by Ciro Santilli 35 Updated 2025-04-18 +Created 1970-01-01
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Intuitively: unordered container where all the values are unique, just like C++ std::set.
More precisely for set theory formalization of mathematics:
  • everything is a set, including the elements of sets
  • string manipulation wise:
    • {} is an empty set. The natural number 0 is defined as {} as well.
    • {{}} is a set that contains an empty set
    • {{}, {{}}} is a set that contains two sets: {} and {{}}
    • {{}, {}} is not well formed, because it contains {} twice
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