I took discrete mathematics last semester and I still do not understand how discrete data/sets relate to infiniteness. For example, in the preface of Schaum's Outline of Discrete Math, it states that, "Discrete mathematics, the study of finite systems, has become increasingly important as the computer age has advanced." However, some people have said that discrete math is not only limited to finite systems, but also infinite systems.
In the world of mathematics, are discrete objects/sets ONLY finite, or can they also be infinite?
Thanks in advance for answering, and have a great rest of your day!