Transitivity (mathematics)

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Transitivity is a term in logic and mathematics.

Mathematics[change | edit source]

In general, in a set, if a is related to b and b is related to c, then a is related to c.

  • If A>B and B>C, then A>C. Size is transitive.
  • If A is a subset of B and B is a subset of C, then A is a subset of C. Subsets are transitive.
  • If Sidney is taller than Casey, and Casey is taller than Jordan, then we know that Sidney is taller than Jordan. Height is transitive.
  • Rock beats scissors, and scissors beats paper, but rock doesn't beat paper. Rock, paper, scissors is not transitive: It is intransitive.