Sami I. Almuaigel
Zero holds a unique position in mathematics as a neutral number, representing both nonexistence and balance. Unlike positive
or negative numbers, it has no sign, signifying its neutrality. This neutrality becomes pivotal in the realm of arithmetic
and division. According to the logic of division, dividing by "nothing" translates into dividing by zero. This idea challenges
conventional arithmetic, where division by zero is typically undefined. However, exploring zero through its abstract properties
offers a novel perspective. In arithmetic, zero raised to the power of one reflects the concept of identity. If we consider this as , �??1
= �?? the underlying structure suggests the power itself stems from subtraction: two minus one �??2−1 = �??. The resultant expression,
when divided by zero, may appear paradoxical. Yet, by this reasoning, division by zero intriguingly loops back to zero. This
interpretation, while unconventional, provokes thought about the nature of zero and its implications in mathematical logic.
Rather than being undefined, zero, in its abstraction, reflects self-containment—a division that leads back to itself. While such
concepts challenge traditional frameworks, they invite us to revisit foundational principles and expand our understanding of
arithmetic laws and the philosophical essence of mathematics. Therefore, division by zero is equal to zero.