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Looking at Names["SystemPrivate*"] gives:

enter image description here

I'd really like to use and look at the code for some of these symbols, e.g. 

System`Private`AlgebraicNumberQ

Is there any way to do this?

J. M.'s missing motivation
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user5601
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    There are numerous undocumented functions in Mathematica, and a lot of them are useful for regular users. They're just regular functions, but figuring out the calling syntax can be tricky, especially if they don't have DownValues. But, with System`Private`AlgebraicNumberQ it's pretty clear: System`Private`AlgebraicNumberQ[number]. When number is Pi or E it returns False (they're transcendental), but Sqrt[2] is True. – rcollyer Mar 28 '16 at 18:53
  • @J.M. I was looking for that question. – rcollyer Mar 28 '16 at 20:05
  • @rcollyer, it's sorta kinda hard to forget an answer like ilian's. ;) – J. M.'s missing motivation Mar 28 '16 at 21:05
  • @J.M. I remembered it; I just couldn't find it, nor did I recall who wrote it. At least I got the opportunity to upvote it, finally. :) – rcollyer Mar 28 '16 at 21:18

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