intransitive relation
[ɪnˈtrænzətɪv rɪˈleɪʃən]
nounpl: intransitive relations
relação intransitiva
1. A mathematical or logical relation where if element A is related to element B, and B is related to element C, it does not necessarily follow that A is related to C
The 'is perpendicular to' relation is intransitive because if line A is perpendicular to line B, and line B is perpendicular to line C, line A is not necessarily perpendicular to line C
A relação 'é perpendicular a' é intransitiva porque se a reta A é perpendicular à reta B, e a reta B é perpendicular à reta C, a reta A não é necessariamente perpendicular à reta C
2. In formal logic and set theory, a binary relation R on a set S where there exist elements a, b, c in S such that aRb and bRc but not aRc
The relation 'is the parent of' is intransitive; John is the parent of Mary, Mary is the parent of Susan, but John is not the parent of Susan
A relação 'é pai de' é intransitiva; João é pai de Maria, Maria é mãe de Susana, mas João não é pai de Susana
This is a technical term primarily used in academic and mathematical contexts in both English-speaking countries and Brazil. It is central to formal logic, set theory, and discrete mathematics curricula. The concept is essential for understanding mathematical proofs and logical reasoning in universities and advanced educational settings.
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