1. The motivation for Theorem 2.6 was a little confusing. I'm not sure if I totally grasped the point but I'm not too worried about it because I feel like I understand Theorem 2.6. I also don't really like how they introduced new notation but I'm sure I will get used to it.
2. I think it is interesting how we are now developing an algebra for congruence classes. I am still not exactly sure why they are important but hopefully the importance will avail itself soon. I thought it was pretty sleek how the proof of Theorem 2.6 fell out directly from Theorem 2.2.
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