undecidable
[/ˌʌndɪˈsaɪdəbəl/]
adjective
indecidível
1. Unable to be decided or determined; not susceptible to being resolved or concluded
The question of whether artificial intelligence can truly think remains undecidable in philosophical circles.
A questão de saber se a inteligência artificial pode realmente pensar continua indecidível nos círculos filosóficos.
2. (Logic, Mathematics, Computing) A proposition or problem for which no algorithm or proof can determine its truth or falsity within a given formal system
Gödel proved that certain mathematical statements are undecidable within formal arithmetic.
Gödel provou que certas afirmações matemáticas são indecidíveis dentro da aritmética formal.
3. Impossible to resolve or settle definitively
The dispute between the two parties seemed undecidable without further evidence.
A disputa entre as duas partes parecia indecidível sem mais evidências.
The term 'undecidable' is primarily used in academic, philosophical, and technical contexts in both English-speaking and Portuguese-speaking countries. In Brazil, it is especially prevalent in university mathematics, philosophy, and computer science departments. The concept gained prominence after Gödel's incompleteness theorems and is fundamental to theoretical computer science and formal logic discussions.
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