1. A response or solution that cannot be verified, demonstrated, or substantiated through logical reasoning, empirical evidence, or mathematical proof
The mathematician concluded that the conjecture was an unprovable answer within the current axiom system.
O matemático concluiu que a conjectura era uma resposta improvável dentro do sistema de axiomas atual.
2. In logic and formal systems, a statement or proposition that cannot be established as true or false using the available rules and premises
Gödel's incompleteness theorem demonstrates that certain mathematical statements are unprovable answers.
O teorema da incompletude de Gödel demonstra que certas declarações matemáticas são respostas improváveis.