Last Updated:2025/12/30
Sentence
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.
Quizzes for review
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.
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