One day in class, a teacher introduced me to the mathematical expression that "0.999999... = 1." At first glance, it seemed astonishing, but then I found it utterly atrocious. This concept stands in stark contradiction to what I have always understood as the fundamental rules of mathematics. Numbers have distinct, absolute values, and suggesting that two different representation can equal breaks the standardized consistency I hold dear in math. This experience inspired me to delve deeper into the world of numbers, and eventually, I developed a new mathematical system that adheres strictly to the fundamental notion that decimal representations of numbers should never be able to equal a whole number. My proposed system not only addresses these issues but also adds clarity and accuracy to mathematical calculations that can improve educational methods and mathematical precision across various fields.

Traditional mathematics abides by certain conventions that can sometimes lead to paradoxical results. However, my system promotes clearer and more precise rules that align with the intuitive understanding most people have about numbers. This revision serves not just pedantic accuracy but offers new opportunities for teaching mathematics in a simplified and straightforward manner.

Innovative systems often face opposition, especially when centuries-old understanding is questioned. Nonetheless, many historical advancements arose from challenging prevailing beliefs. With my new system, I propose an inclusive reform that not only respects the historical context of math but evolves it for better precision and understanding.

The scientific community and educational institutions have a track record of adopting new theories and systems that further our collective knowledge and understanding. Now, it is time for them to consider revising and enhancing our numerical representations and calculations. Join me in petitioning educational authorities and mathematical societies to evaluate and consider adopting my new system. I strongly believe that together, we can create an impact that paves the way for a more accurate and reliable approach to mathematics.

Sign the petition and help us bring clarity and advancement to the world of mathematics.

My Mathematics system: 

The Extended Number System
Created to redefine equality, infinitesimals, and infinities.

 
1. Core Principles
The Extended Number System introduces infinitesimals and redefines equality to resolve the issue of 0.999... = 1.
Infinity (ℕ) is treated as a number, with different magnitudes of infinity.
Arithmetic operations are extended logically to include infinitesimals and infinities.
 
2. Infinitesimals (ƒn)
Definition: Infinitesimals are numbers smaller than any positive real number but greater than zero.
Notation: ƒn represents an infinitesimal, where n is an integer.

Example: ƒ1 = 0.000...1 (an infinitely small number with the last digit being 1).
Rules:

 (Strictly equal, not functionally equal)
 (Infinitesimals and infinities are reciprocals)
Repeating decimals are marked with infinitesimals:

 
, where the 4 is a marker of inequality