logical consequence
[ˈlɒdʒɪkəl ˈkɒnsɪkwəns]
nounpl: logical consequences
consequência lógica
1. A conclusion or result that follows necessarily from premises or facts according to the rules of logic; a statement that must be true if the preceding statements are true
If all humans are mortal and Socrates is human, then Socrates is mortal is a logical consequence.
Se todos os humanos são mortais e Sócrates é humano, então Sócrates é mortal é uma consequência lógica.
2. In formal logic, a statement B is a logical consequence of a set of statements A if B is true in every interpretation in which all statements in A are true
The theorem is a logical consequence of the axioms established in the proof.
O teorema é uma consequência lógica dos axiomas estabelecidos na demonstração.
3. A natural or inevitable result that follows from an action or decision
Failing to study is a logical consequence of not attending lectures regularly.
Não aprender é uma consequência lógica de não assistir às aulas regularmente.
The term 'logical consequence' is primarily used in academic, philosophical, and scientific contexts in both Brazil and the USA. It is fundamental to formal logic, mathematics, and philosophy curricula. In Brazilian Portuguese universities, 'consequência lógica' is the standard terminology taught in logic courses. This concept is culturally significant in Western intellectual traditions as it represents the foundation of rational argumentation and critical thinking.
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