👉 Altered math, often referred to as non-standard or generalized mathematics, modifies traditional mathematical concepts and operations to accommodate broader contexts or specific needs. This can involve changing the properties of numbers (like introducing negative numbers or complex numbers), altering arithmetic operations (such as defining addition and multiplication differently), or even redefining geometric concepts. For instance, in hyperbolic geometry, the sum of angles in a triangle is less than 180 degrees, and in fuzzy mathematics, numbers can have degrees of truth rather than binary true/false values. These alterations allow mathematicians to explore and solve problems in diverse fields, from physics and engineering to computer science and philosophy, by adapting mathematical principles to fit new or complex scenarios.
