The concept of infinity has been subject of profound thought since the formulation of its very notion. The topic became one that was not understood or could be hassled into a simple definition by many mathematicians of the time. Most of the debacle came from the two essential questions that intuitively arise when analyzing the idea of infinity: what is the nature of such a number and the proof of its existence? An early insight came from a seventeenth century philosopher, Bernard Bolzano. The mathematician explored sets with the following definition:
“an embodiment of the idea or concept which we conceive when we regard the arrangement of its part as a matter of indifference.”
Bolzano defended the concept of an infinite set. His idea received
