material implication

[/məˈtɪriəl ɪmplɪˈkeɪʃən/]
nounpl: material implications
implicação material
1. A logical relationship between two propositions where the implication is false only when the antecedent is true and the consequent is false; a conditional statement in formal logic
In material implication, 'if P then Q' is considered false only when P is true and Q is false.
Na implicação material, 'se P então Q' é considerada falsa apenas quando P é verdadeiro e Q é falso.
2. The concrete or practical consequence or significance of something; the substantive effect or relevance
The material implication of this policy change will affect thousands of workers.
A implicação material desta mudança de política afetará milhares de trabalhadores.
This is a specialized term from formal logic and philosophy used primarily in academic and intellectual discourse in both English and Portuguese-speaking countries. It carries no regional slang or colloquial variations as it is a technical term restricted to logical and philosophical contexts.
Synonyms / Sinônimos
logical implicationconditional statementtruth-functional conditionalpractical consequencesubstantive effect
Antonyms / Antônimos
contradictionirrelevanceimmaterial consequence

Regional Variations

General Brazilian
implicação material
Standard term used in logic and philosophy
Portugal
implicação material
Same usage as Brazil; formal logic terminology
Academic/Formal
implicação material
Technical term primarily used in academic contexts, philosophy, and mathematics

Related Words

propositional logictruth tableantecedentconsequentlogical operatorconditional logic

Related Idioms & Phrases

have material implications
carry material implications
material implication follows
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