Has Euler's Constant $\gamma$ been proven to be irrational? I found a paper by Kaida Shi called "A Proof: Euler’s Constant γ is an Irrational Number" which claims to have proven the irrationality of $\gamma$.
I know people have been trying to prove that $\gamma$ is irrational or not for hundreds of years.  I could not find very much on this paper online.  Does this paper in fact have a conclusive proof that $\gamma$ is irrational?  

No, the paper is incorrect, and in many places. A quick way to check would be to see if it were published anywhere (it isn't). This isn't conclusive, but such a result would almost certainly be sent to some peer-reviewed journal.
I should also note some of the incredible things Kaida Shi has 'proven' in addition to Hilbert's 7th problem:


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*Here's a link to his combined proofs of the Goldbach Conjecture, the Twin Primes Conjecture, and some parts of the vastly stronger Schinzel's hypothesis (which he doesn't mention in the abstract, but it nonetheless there).

*Here's a link to a geometric proof of the Riemann Hypothesis. But don't get too excited, because...

*Here's a link to a geometric proof of the generalized Riemann Hypothesis.

