The Anti-Existence Theorem (Published)
An element of a set that possesses the property of anti-existence may be described by a negative integer.
Keywords: Annihilation, Anti-Existence, Coordinate System, Counting Function, Element, Intersection, Mirror Image, Partition, Set, Subtraction, Symmetry, Union., addition, natural numbers
Beginning Arithmetic Proposition: The Arithmetic Operator Requires Three Elements (Published)
For those not fully satisfied with abstract algebra’s presentation of group and ring theory, the proposition that the arithmetic operator requires three elements is offered as a part of a new approach to algebra.
Keywords: addition, arithmetic, division, elements, identity element, multiplication, operator, set theory.