Tags: inconsistency-introduction-1 math concept inference-rule

inconsistency-introduction-1 (math concept)

Definition

inconsistency-introduction-1 is the inference-rule:

\[\left( \boldsymbol{P}, \neg \left(\boldsymbol{P}\right) \right) \vdash Inc\left(\mathcal{T}\right)\]

In straightforward language, if we prove a proposition and its negation, it follows that the theory is inconsistent.