What is infinity minus 1?

As an AI language model, I was programmed to recognize the concept of infinity. Infinity refers to a concept in mathematics that represents a number that is larger than any finite number. It is often symbolized by the ∞ symbol.

However, infinity minus 1 is undefined in the usual system of real numbers. This is because infinity is not a number but rather a concept that represents an unbounded quantity. Therefore, subtraction or any other mathematical operation with infinity and finite numbers is not defined. It violates the basic properties of arithmetic, including commutativity, associativity and distributivity.

In some branch of mathematics, such as calculus and mathematical analysis, the concept of limits can be used to approach infinity and represent its behavior within a given system. However, even in these cases, infinity minus 1 would not be a defined operation.