propositional conditionals

[prəˌpɑːzɪʃənəl kənˈdɪʃənəlz]
nounpl: propositional conditionals
condicionais proposicionais
1. Logical statements of the form 'if P then Q' (P → Q) that establish a conditional relationship between two propositions, where the truth of the consequent depends on the truth of the antecedent
In the propositional conditional 'If it rains, then the ground is wet,' the antecedent is 'it rains' and the consequent is 'the ground is wet.'
No condicional proposicional 'Se chover, então o chão fica molhado', o antecedente é 'chover' e o consequente é 'o chão fica molhado'.
2. A fundamental structure in propositional logic and formal reasoning that expresses hypothetical relationships between atomic propositions
Propositional conditionals are essential tools in mathematics and computer science for constructing logical arguments and proofs.
Os condicionais proposicionais são ferramentas essenciais na matemática e ciência da computação para construir argumentos lógicos e provas.
This is specialized terminology primarily used in academic and technical contexts, particularly in philosophy, mathematics, computer science, and formal logic courses. It is not common in everyday conversation but is fundamental to Western logical traditions taught in universities across both Brazil and the United States. The concept derives from classical Aristotelian logic and is central to contemporary formal reasoning systems.
Synonyms / Sinônimos
conditional statementsif-then statementsmaterial conditionalslogical conditionals
Antonyms / Antônimos
biconditionalsdisjunctionsconjunctions

Regional Variations

General Brazilian Portuguese
condicionais proposicionais
Standard academic and technical term used in logic and philosophy courses
Portugal
condicionais proposicionais
Same as Brazilian Portuguese; consistent across Portuguese-speaking academic communities
Technical/Academic
implicações materiais
Alternative technical term emphasizing the material implication aspect

Related Words

antecedentconsequentpropositional logictruth tablelogical operatormaterial implication

Related Idioms & Phrases

if and only if
necessary and sufficient condition
antecedent and consequent
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