[**white paper: pedagogical**]

We prove that if A is a set consisting of n elements, then A has 2^n subsets.

https://doi.org/10.31219/osf.io/mptx7

**Open Mathematics Collaboration**

Op. J. Math. Phys.

Volume 3, Article 230, 2021 [JA]

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# Tag: set theory

# The power set has 2^n elements

# The membership relation

# A proof for Cantor-SchrÃ¶der-Bernstein Theorem using the diagonal argument

# A unidimensional windmill in the plane with varying pivot points

# The power set of power sets

[**white paper: pedagogical**]

We prove that if A is a set consisting of n elements, then A has 2^n subsets.

https://doi.org/10.31219/osf.io/mptx7

**Open Mathematics Collaboration**

Op. J. Math. Phys.

Volume 3, Article 230, 2021 [JA]

[**knowledge base**]

The MEMBERSHIP RELATION and its underlying definitions are presented in this white paper (knowledge base).

https://doi.org/10.31219/osf.io/r9p2m

**Open Mathematics Collaboration**

Op. J. Math. Phys.

Volume 3, Article 221, 2021 [IR]

We prove Cantor-SchrÃ¶der-Bernstein theorem using the diagonal argument.

https://doi.org/10.31219/osf.io/2qkpx

**Open Mathematics Collaboration**

Op. J. Math. Phys.

Volume 3, Article 210, 2021 [IG]

We show that we can choose a point in the plane such that the resulting windmill process with varying pivot uses each point of the plane infinitely many times.

https://doi.org/10.31219/osf.io/mwkaf

**Open Mathematics Collaboration**

Op. J. Math. Phys.

Volume 2, Article 148, 2020 [FT]

[**microreview**]

We compute P(P(P(0))), where P(0) is the power set of the empty set.

https://doi.org/10.31219/osf.io/v5zyb

**Open Mathematics Collaboration**

Op. J. Math. Phys.

Volume 2, Article 90, 2020 [DM]