MathFoundations12: Introducing the integers

[darklord1876]

your teaching approach is great!

[jackyzelog]

Although define an integer as a well ordered pair may make some case uniformly, it seems this definition is not intuitive and more complicated than the traditional way.

[njwildberger]

It is not entirely clear what the `traditional way is', especially if one wants to be completely precise.

Most texts casually assume that `defining' the concept of an integer is unnecessary---one may just rely on intuition and a bit of handwaving. This is defaulting.

On the other hand, I want everything spelled out, completely clearly. With proofs of important facts. How natural the proofs are often gives an indication of the quality of the concepts.