TITLE: How can you show Godel's incompleteness theorem using mathematical symbols?
QUESTION [23 upvotes]: I want to get this as a tattoo as I love the role maths plays in the universe and the idea that the farthest reaches of what we can ever know, fall short of the limits of what is true, even in mathematics. I've done a lot of research but have yet to find a mathematical symbol version of this theorem.
Is there a way to show even a short part of/ the essence of it/ an example of it using symbols?
Sorry if it's inappropriate to ask this here - you just seem like the corner of the internet with my best hope. Any help would be greatly appreciated - I've been trying to find an answer to this for almost a year. Thank you!

REPLY [6 votes]: A concise version of the first incompleteness theorem might be:
$$\texttt{neither }\;\; \mathbf{PA}\vdash\phi\;\;\texttt{ nor }\;\;\mathbf{PA}\vdash\neg\phi$$
And since I cannot resist, I have to add: but mind, it was the second incompleteness theorem which make the Hilbert Program blew up, not the first.  ; )
PS: If you decide to imprint yourself with Hagen von Eitzen's Formula, I would love to see a picture.