# 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]

# Transdenumerability of the reals

We show that the real numbers are transdenumerable by setting a one to one map with the set of the transfinite ordinals introduced by Cantor.

https://doi.org/10.31219/osf.io/fu7bx

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 156, 2020 [GD]

# A multivalued infinity

[microresearch]

We define 0/0 as the complex function f(z) = z.

https://doi.org/10.31219/osf.io/vtjy7

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 89, 2020 [DL]

# Dirac delta regularization

[microresearch]

I present a finite result for the Dirac delta “function.”

https://doi.org/10.31219/osf.io/5vfth

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 86, 2020 [DI]

# Quadratic convergence of a multivalued series (S+)

[microresearch]

We use the Infinity Theorem to find two possible values for S+.

https://doi.org/10.31219/osf.io/rx79h

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 85, 2020 [DH]

# Sum of all natural numbers

[microresearch]

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + … = ?

https://doi.org/10.31219/osf.io/yx28b

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 83, 2020 [DF]

# The infinity theorem

[microresearch]

The infinity theorem is presented stating that there is at least one multivalued series that diverge to infinity and converge to infinite finite values.

https://doi.org/10.31219/osf.io/9zm6b

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 2, Article 75, 2020 [CX]

[microresearch]