1) In the first paragraph when they say, "two integers a and b are equal if their difference is 0", why did they have to include: "or equivalently if their difference is a multiple of 0?" How could it be a multiple of 0 instead of just 0?
What is disjoint again?
2) I had never really thought of thinking something is 0 if the difference is 0 but it totally makes sense: if a-b=0, then a=b. Then since nmod(n) acts like 0 in the modulus, it would only make sense that two numbers are congruent if their difference is n (now here I can see why they would have to specify if their difference is a multiple of n. Now I understand why we said a is congruent to b if a-b=nk.
I understand equivalence classes so much more clearly now!
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