👉 Self-math, also known as self-referential arithmetic, is a mathematical concept where a system or structure operates using its own internal rules and symbols to perform calculations. This means that the arithmetic operations, such as addition and multiplication, are defined within the system itself, often using symbols or notations that are specific to that system. For example, in Peano arithmetic, a foundational system for natural numbers, the concept of 'elf-addition' or 'elf-multiplication' is introduced, allowing numbers to be defined in terms of their predecessors. This self-referential nature means that the system can perform arithmetic operations on its own symbols, creating a closed loop where the rules are both defined by and apply to the system's internal structure. This concept is crucial in understanding how certain mathematical systems, like Peano arithmetic, can model basic arithmetic operations while maintaining consistency and avoiding paradoxes.
