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:
Define the set S to be the smallest set contained in N and satisfying the following two properties:
1. 0 ∈ S, and
2. if n ∈ S, then n + 3 ∈ S.
I can only think that this set T is not the smallest set contained in N and satisfying the properties above.
The Attempt at a Solution
I have no clue how to find this. I can only say that T is not S, because it is given.
Please help. :/