As a demonstration of the principle, consider two contradictory statements—"All lemons are yellow" and "Not all lemons are yellow"—and suppose that both are true.OverviewIn,, and similar, the principle of explosion is the according to. have been developed that allow for -forming operators. paraconsistent logicians often deny the assumption that there can be no model of and devise semantical. The value of the principle of explosion is that for any logical system where this principle holds, any derived which proves (or an equivalent form, ) is worthless because all its would. • – Clavius' Law• – belief in the existence of true contradictions• – every proposition is true or false.