Final answer:
In mathematics, self-relation is a recognized concept, and mathematical rules are universal, meaning they apply consistently across different contexts. Symbols in mathematics are arbitrary but capture important concepts, reflecting mathematics' role as a language that can describe and relate to the world around us.
Step-by-step explanation:
In mathematics, it is certainly acceptable and, in fact, necessary to relate something with itself. This concept is often used in equations and logical arguments within mathematics. Take, for example, the reflexivity property in mathematics, which states that any mathematical quantity is equal to itself; it is a fundamental idea that underpins various mathematical theories.
Additionally, the universality of mathematical rules means that these rules remain constant regardless of who is using them or where they are being used. Whether for counting goats or students, the sum operation remains the same, highlighting the consistency and application of mathematical rules. Lastly, although the symbols and formulas we use are arbitrary, they capture essential concepts and truths within mathematics. It is how these symbols relate to one another and to the world around us that gives them meaning and purpose in both theoretical and practical mathematics.