Continuity, as it pertains to psychology and Gestalt theory, refers to vision and is the tendency to create continuous patterns and perceive connected objects as uninterrupted. Sometimes referred to as continuation, this is one category of the five Gestalt laws of grouping that are sets of principles used in psychology that were proposed to account for the human tendency to perceive objects as parts of organized patterns.
The other four principles are known as Proximity, Similarity, Closure, and Connectedness.
In mathematics the principle of continuity, as introduced by Gottfried Leibniz, is a heuristic principle based on the work of Cusa and Kepler. Leibniz used this principle to extend the concepts of arithmetic operations all the way from ordinary numbers to infinitesimals, laying the groundwork for infinitesimal calculus.