Executive functions (also known as cognitive control and supervisory attentional system) is an umbrella term for the management (regulation, control) of cognitive processes, including working memory, reasoning, task flexibility, and problem solving as well as planning and execution.
Definition of finite. 1  1a : having definite or definable limits a finite number of possibilitiesb : having a limited nature or existence finite beings. 2  2 : completely determinable in theory or in fact by counting, measurement, or thought the finite velocity of light.
In mathematics, infinity is often treated as a number (i.e., it counts or measures things: an infinite number of terms) but it is not the same sort of number as natural or real numbers. Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries.