A proof for Cantor-Schröder-Bernstein Theorem using the diagonal argument

[white paper]

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We prove Cantor-Schröder-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]

A unidimensional windmill in the plane with varying pivot points

[white paper]

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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]

The power set of power sets

[microreview]

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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]