How do you define a set without using set builder notation? For example, let's say that I want to define set S as:(adsbygoogle = window.adsbygoogle || []).push({});

S={x ∈ ℕ ∣ 0<x<5}

Then

S={1,2,3,4}

However, suppose that I wanted to define S without set-builder notation, as below?

∀x(x ∈ ℕ ^ 0<x<5 ⟺ x∈S )

Would these two statements be equivalent, or is there something else provided in the set builder notation that I am missing?

Thanks.

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# How to define a set without set builder notation

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