Synopsis:
Here I am going to state what would be needed in order to form a rigorous and umambigious theorem to then be considered provable:
- State every definitions, context, and domains of the theorem, a theorem that contextualizes is better than a theorem that leaves it to interpretation to the reader.
- Make sure to proof-read, and if possible, ask a peer for a review. We might not realize how many mistakes we can make in our own work, that's why a pair of fresh eyes is so important.
- Make sure to read the litterature about what has been done before, just in case you're not rediscovering something that has been stated before.
Takeaway:
It's to take your time and follow these steps, which then would make your work much legible and easier to collaborate with others.
Bonus:
Use LaTeX, it's a great tool, and you'd save others pain with PDFs.
Litterature:
Always read what's been done before, and make sure to always organize your document, one organization could be:
- Proposition
- Theorem
- Proof
- Remarks
Thank you!
Thanks for reading, I published this because I think it would be cool to share this online.
Best, Amlal El Mahrouss
More Resources:
- https://arxiv.org/pdf/1612.04888 (A Primer of Mathematical Writing)