If a chemical plant uses a formal logic system to verify the safety of its control procedures, which consequence follows if the axioms of the system are inconsistent?

💡 Explanation

If the axioms of the logic system are inconsistent, then, through the principle of explosion (ex falso quodlibet), any statement, including both safety and hazard, can be proven. This is because inconsistency allows deriving contradictions, and contradictions allow proving anything; therefore, both outcomes become provable, rather than only safe ones or neither.

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