rational proof

[/ˈræʃənəl pruːf/]
nounpl: rational proofs
prova racional
1. A logical demonstration or evidence that establishes the truth of a statement through reason and rational argumentation, without relying on empirical observation or experimentation
The mathematician provided a rational proof that the theorem was correct by using logical deduction.
O matemático forneceu uma prova racional de que o teorema estava correto usando dedução lógica.
2. Evidence or argumentation based on logical reasoning and intellectual analysis rather than emotional or sensory grounds
The rational proof for his argument was grounded in philosophical principles rather than empirical data.
A prova racional para seu argumento foi fundamentada em princípios filosóficos e não em dados empíricos.
The term 'rational proof' is primarily used in academic and scientific contexts in both Brazil and the USA. It emphasizes the Western philosophical tradition of relying on reason and logic as the foundation for truth-claims. In Brazilian academia, this concept is particularly valued in mathematics, philosophy, and formal logic courses.
Synonyms / Sinônimos
logical proofdeductive proofmathematical proofrational argumentreasoned evidence
Antonyms / Antônimos
empirical proofemotional proofintuitive proofsensory evidence

Regional Variations

General Brazilian
prova racional
Standard term used in academic and mathematical contexts
São Paulo
prova racional
Common in university mathematics and philosophy departments
Rio de Janeiro
prova racional
Used primarily in formal academic discourse
Portugal
prova racional
Formal academic term, less frequently used in everyday language

Related Words

logicdeductionreasoningdemonstrationtheoremaxiompremise

Related Idioms & Phrases

beyond a rational proof
rational proof of concept
lacking rational proof
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