1. A proposed answer or resolution to a problem that cannot be proven, verified, or demonstrated to be true or correct within a given logical or mathematical system
The mathematician concluded that the conjecture led to an unprovable solution within the current axioms.
O matemático concluiu que a conjectura levava a uma solução indemonstrável dentro dos axiomas atuais.
2. In logic and mathematics, a solution that exists but cannot be validated or confirmed through formal proof or empirical evidence
Gödel's incompleteness theorems demonstrate the existence of unprovable solutions in formal systems.
Os teoremas da incompletude de Gödel demonstram a existência de soluções indemonstrávéis em sistemas formais.