5 Studying the integers

The integers, \(\mathbb{Z}\), is an interesting set as unlike \(\mathbb{Q}\) or \(\mathbb{R}\), we can not divide. This restriction bring a lot of interesting properties that we will now study in more details. (The Well Ordering Principle also sets \(\mathbb{Z}\) apart from \(\mathbb{Q}\) and \(\mathbb{R}\) and we’ll also make use of that principle.)