Equivalence classes error?

I think I'm making a mistake when it comes to equivalence classes. In the picture you can see what the equivalence class is supposed to be, but the word equivalence immediately makes me think of equivalence relations, which are relations that are simultaneously reflexive, symmetric, and transitive. Here, however, it is stated that the equivalence…

Why doesn't the sun revolve around the earth, but the earth revolves around the sun?

I mean, you need a reference point to determine movement. But why should the sun be this fixed reference point? Just because the larger system, the solar system, moves around it? Perhaps the solar system also moves in complex orbits around the Earth, because it, too, could have been the fixed point. Although that would,…

Understand relations, the concept of total and partial order?

Good evening dear community, I'm having a bit of trouble understanding the concepts of partial and total order in the context of relations. I'll try to explain how I understand the concepts: If I'm correct, both partial and total order belong to the so-called order relations. An order relation is characterized by three properties: reflexivity,…