We talked about equivalence relations and partitions as one of the last units in my FOM class. Equivalence relations are basically classes of relations that various things can fit into. Described in a less vague ways, think about elements of sets being balls, and think about equivalence classes being buckets that these balls can be thrown into. You can sort the balls by color, size, or any other way, and that’s where the relation part of the definition comes in. Partitions come in with the fact that balls are in different buckets. Partitions separate elements in some way.
I pretty much understood this concept in the class, but there’s something really weird about the partition part. It shows up everywhere in my life.
Like in my India class (Religions and Cultures of India, but I called it my India class), we learned about the British occupation of India, and the partition of India. I didn’t even have to pay attention in that class to know that that was about splitting up India! The partition of India was basically about splitting up India based on the equivalence class of religions.
The reason I’m bringing this up now is because I was helping my mom at our church set up for an event, and she asked me to help her with these little dividers that the preschool uses to separate the hall into different sections. Guess what they’re called?! Partitions.