set-builder notation

With this idea for describing a finite set of sets, it is easy to generalize the concept to a certain infinite family 𝒮₂ of sets 𝒮₂=A_i|i∈N=A_1,A_2,A_3,…,A_n,…. Once again, the power of set builder notation triumphs. The sets 𝒮₁ and 𝒮₂ may be described more precisely with set builder notation than by enumeration.