implicitly

Implicitly is an adverb describing actions, meanings, or inferences that are understood without being stated outright. In everyday language, something done implicitly is assumed or suggested by the context rather than explicitly declared. The adjective implicit shares the same root and refers to qualities that are inherent or involuntarily implied rather than directly expressed.

In logic, mathematics, and related disciplines, implicit descriptions resolve objects or relations without naming them directly. An implicit definition or an implicit function is given by a condition rather than a concrete formula. For example, the equation x^2 + y^2 = 1 defines y implicitly as the points on the unit circle rather than giving y as a single-valued function of x.

In linguistics and philosophy, implicit meaning is distinguished from explicit statements. Implicature refers to implied content inferred from context, while an explicit claim states it directly. People may convey politeness, attitude, or assumptions implicitly; for instance, "Nice work" can imply both approval and a critique in certain contexts depending on intonation and setting.

In computing and psychology, implicit forms appear as implicit memory or learning, where knowledge is retained without conscious recall, or as implicit type casting and implicit argument passing in programming languages. These mechanisms operate without explicit specification by the programmer or user, often increasing convenience or performance at the cost of clarity.

Implicit content hinges on context and shared background, but it can lead to misunderstandings if assumptions are faulty. Analysts and communicators often examine implicit premises to avoid bias. See also explicit, implicature, implicit memory, and implicit function.