I struggled to understand equivalence classes. I think the difficulty was the new notation without too much notice. They make sense to me in that when each element is only in one equivalence class and there are no nonempty equivalence classes that a partition is formed. They also seem to follow rules of sets but I do know know what I am really looking at or what is being communicated to me when reading about equivalence classes.
I find them interesting as these equivalence classes remind me of topic in linear algebra like vectors and being non-colinear. It seems to no that understanding these equivalence classes would expand on my understanding of linear algebra. I also find it exciting that equivalence relations seem to follow patterns when discussing different sets such as lines, number sets and even sets themselves.
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