arbitrary basis
[/ˈɑːrbɪtreri ˈbeɪsɪs/]
noun phrasepl: arbitrary bases
base arbitrária
1. A foundation or starting point for reasoning, decision-making, or action that is chosen without logical justification or rational ground
The judge ruled that the decision was made on an arbitrary basis without proper evidence.
O juiz decidiu que a sentença foi baseada em uma base arbitrária sem provas adequadas.
2. In mathematics and linear algebra, a set of linearly independent vectors chosen without a specific systematic method to form a coordinate system
We selected an arbitrary basis for the vector space to simplify our calculations.
Selecionamos uma base arbitrária para o espaço vetorial para simplificar nossos cálculos.
3. A principle or criterion for judgment that is founded on personal whim rather than objective standards
Hiring decisions should never be made on an arbitrary basis; they must follow fair criteria.
Decisões de contratação nunca devem ser feitas em uma base arbitrária; devem seguir critérios justos.
The concept of 'arbitrary basis' is particularly important in Brazilian and Portuguese legal systems, where decisions must be justified and cannot be made arbitrarily. In academic and mathematical contexts, the term is widely used and understood in both countries. In the USA, the phrase appears frequently in legal arguments and civil rights discussions, where arbitrary decision-making is considered a violation of due process.
Related Idioms & Phrases
make a decision on an arbitrary basis
choose on an arbitrary basis
judge on an arbitrary basis
na base da vontade (Brazilian Portuguese idiom meaning 'on a whim')
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