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## Homework Statement

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.

## Homework Equations

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. :/