Logical Relationships: Infinity

In the field of mathematics, the concept of infinity presents intriguing possibilities and challenges. While one might think of infinity as simply being 'larger than any number,' it is essential to recognize that there are different sizes of infinity, particularly when considering sets. For example, the set of all integers is infinite, but when compared to the set of all real numbers, it becomes evident that the latter is a larger infinity. Fill in the blank with the word that best illustrates the logical relationship in the statement below:

The set of all integers is to infinity as the set of all _____ is to a larger infinity.