In classical deductive logic.
Consistent theory is one that does not contain a contradiction.
Cognitive consistency theory is the basis for equilibrium for individuals. This theory focuses on the balance individuals create cognitively when inconsistencies create tensions and thus motivate our brains and body to respond.
Dynamic inconsistency (or time inconsistency ) describes a situation in which a decision-maker’s preferences change over time in such a way that a preference can become inconsistent at another point in time. This can be thought of as there being many different “selves” within decision makers, with each “self” representing the decision-maker at a different point in time; the inconsistency occurs when all preferences are not aligned.