 The symbolic algebra of the 1800s included much more than just the algebra of polynomials, and Boole experimented to see which results and tools might apply to the algebra of logic. For example, he proved one of his results by using an infinite series expansion. His fascination with the possibilities of ordinary algebra led him to consider questions such as: What would logic be like if the idempotent law were replaced by the law \(X^3 = X\)? His successors, especially Jevons, would soon narrow the operations on classes to the ones that we use today, namely union, intersection and complement.