# Set of Infinity

**Algebra**Level 3

Let \(P =\){\(S_{1}, S_{2}, S_{3},....\)} be a set provided that \(\forall i \in \mathbb{N}, S_{i} \in P\) is a set whose number of elements is infinitely many [example: \(\mathbb{R} \in P\)]. Which of the following is true?

\(P\) does not exist.

\(P\) exist

\(|P| = \aleph_{0}\)

\(|P| = \aleph_{1}\)

None of the choices