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.
An infinite set is not finite. An example of a finite set is one with some number of elements. You can say an infinite number, but it is not fixed. An infinity is a process that uses induction on the natural numbers. Cantor showed however, that there is another sense of infinity.