Abstract

Linked with existence of the almighty, the operation of division by zero which is considered as undefined or indeterminate or infinite sometimes, has been a topic of serious altercation among mathematicians and philosophers for so long. History is evident of the various attempts made to clearly define the algebra of zero, including the idea of division by zero. This includes the evolution of the idea of zero division and various insights from mathematicians like Euler, Craig and more. The realm of the paper contains all such significant attempts and it deals with the idea of the history that wishes to explore the evolution of infinity and undefined. The prime aim of this paper is to clearly distinguish the three concepts of Undefined, Indeterminate and Infinity, along with the concept of division by zero. It strives to provide a notation to undefined expressions, along with citing justifications and results with the help of unpretentious examples from key branches.