[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]
Tag: set theory
The membership relation
[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]
A proof for Cantor-Schröder-Bernstein Theorem using the diagonal argument
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
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]
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]
