unresolvability
[/ˌʌnrɪˈzɒlvəbɪləti/]
nounpl: unresolvabilities
irresolvibilidade
1. The quality or state of being unable to be resolved, solved, or settled
The unresolvability of the paradox frustrated the philosophers for decades.
A irresolvibilidade do paradoxo frustrou os filósofos por décadas.
2. In mathematics and logic, the property of a problem that cannot be solved using algorithmic methods or logical deduction
Gödel's incompleteness theorems demonstrate the unresolvability of certain mathematical propositions.
Os teoremas da incompletude de Gödel demonstram a irresolvibilidade de certas proposições matemáticas.
3. The impossibility of reaching a conclusion or agreement on a disputed matter
The unresolvability of their differences led to the dissolution of the partnership.
A irresolvibilidade de suas diferenças levou à dissolução da parceria.
This term is primarily used in academic, philosophical, and mathematical contexts in both Brazilian Portuguese and English-speaking countries. It carries significant weight in discussions of Gödel's theorems and computational theory. In Brazil, it is commonly encountered in university-level courses in philosophy, mathematics, and computer science.
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