As far as the NEC use of these words your statement is incorrect. All intrinsically safe systems are nonincendive. Nonincendive systems are not intrinsically safe. The nonincendive system can release enough energy to ignite a flammable concentration if the conditions of use are outside of the conditions that the nonincendive system has been tested under. The intrinsically safe system will not provide enough energy to ignite the vapors or dust under any conditions of use or misuse. This is why the nonincendive system can only be used in Division areas while the intrinsically safe system can be used in both Division 1 and 2 areas.A nonincendive system is intrinsically safe. An intrinsically safe system is not always a nonincendive system.