Is there a proof for the (non)existence of a formula for prime numbers?

[question]

DOWNLOAD

We discuss about whether it is possible or not to prove or disprove the existence of a formula for the prime numbers.

https://doi.org/10.31219/osf.io/sb7td

Open Mathematics Collaboration

Would you like to discuss and co-author this paper? (Join our open Slack channel)

Op. J. Math. Phys.
Volume 2, Article 167, 2020 [GO]

Logical Loop

[microresearch]

DOWNLOAD

We discuss the dubbed term “logical loop” and it’s implication regarding provability in undecidable theorems.

https://doi.org/10.31219/osf.io/c5ezm

Open Mathematics Collaboration

Would you like to discuss and co-author this paper? (Join our open Slack channel)

Op. J. Math. Phys.
Volume 2, Article 123, 2020 [ET]

Mathematics beyond axioms

[microresearch]

DOWNLOAD

We consider that if there is a Non-Axiomatic System, then by introducing the axiom of mathematical proof, the undecidable theorems are not in any Axiomatic System.

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

Open Mathematics Collaboration

Would you like to discuss and co-author this paper? (Join our open Slack channel)

Op. J. Math. Phys.
Volume 1, Article 46, 2019 [BT]

Gödel’s incompleteness theorem in a nutshell

[microreview]

DOWNLOAD

We present a microversion of Gödel’s theorem.

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

Open Mathematics Collaboration

Would you like to discuss and co-author this paper? (Join our open Slack channel)

Op. J. Math. Phys.
Volume 1, Article 45, 2019 [BS]