transitive property
Logic's chain link
The transitive property is a logical principle stating that if A relates to B and B relates to C in the same way, then A relates to C.
Most familiar in mathematics: if A equals B and B equals C, then A equals C.
The principle extends to other relations: if Alice is taller than Bob and Bob is taller than Carol, Alice is taller than Carol.
Not all relations are transitive—friendship, for instance, doesn't transfer automatically through intermediaries.
- equalitySame status for all
- equivalenceState of being equal
- if-thenImplication structure in logic
- logicScience of valid reasoning
- logical reasoningStructured thought process
proof · math · math class · symmetry · reflexive · chain · link · bridge · connect the dots · transfer · follow through · relation · congruence · equation · equals sign · therefore · geometry · algebra
transitive propertyequivalence relation
Three-property partitioning binary relation
transitive, transit, transition, transitional, transitionally, intransitive, transitory, transient, property