Definition 1.1.2 Define the set S to be the smallest set contained in N and satisfying the following two properties:
- 0 ∈ S, and
- if n ∈ S, then n + 3 ∈ S
Here is to define the set of 0,3,6… And then say that smallest set is necessary, otherwise there are many such sets.
Find a set T of natural numbers such that 0 ∈ T, and whenever n ∈ T,
then n + 3 ∈ T, but T != S, where S is the set defined in definition 1.1.2.
Give an example of T?
All natural numbers set N can.