What you want to ask is what are the subtle differences between common confusions in mathematics? There are: isomorphism and homomorphism are different, finite and infinite are different.

1, isomorphism and homomorphism are different: isomorphism and homomorphism are concepts that describe the relationship between two mathematical structures, but their difference is that isomorphism is a mapping that keeps all structures, while homomorphism only keeps some structures.

2. Finite and infinite are different: both finite and infinite are concepts that describe the number of elements in a set, but their difference is that the number of elements in a finite set is limited, while the number of elements in an infinite set is infinite.