MathFoundations12: Introducing the integers
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your teaching approach is great!
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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.
jackyzelog 2 years ago
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.
njwildberger 2 years ago 3