This paper proposes the addition of two new terms, "afinite" and "unfinite" to supplement the current terminology of "finite" and "infinite." The restrictions of the current terminology used in science, math, and linguistics result in inaccurate conclusions. The new terms are defined both linearly and through the medium of a Punnett Square, and explained through both theoretical and applied uses. Articles using only the traditional terms reveal the shortcomings of using two narrowly defined terms. Using four terms, instead of the traditional two, results in more accurate and truthful knowledge. This paper does not attempt to determine whether specific theories, including Cantor's set theory, Baye's Theorem, or Chomsky's Discrete Infinity Theory are correct or incorrect: it simply argues for the addition of two new terms in order to more accurately define ideas. [For the complete proceedings, see ED625798.]