So it would no longer be so surprising to me if the NSA does in fact have significant knowledge of cryptography beyond the public domain.
I think there are some important differences between the NSA and the (rest of the) military.
Due to Snowden and other leakers, we actually know what NSA's cutting-edge strategies involve, and most (and probably all) of them are focused on corrupting the public's crypto, not on inventing better secret crypto.
Building a better algorithm is a lot cheaper than building a better orbital laser satellite (or whatever). The algorithm is just a piece of software. In order to develop and test it, you don't need physical raw materials, wind tunnels, launch vehicles, or anything else. You just need a computer, and a community of smart people who build upon each other's ideas. Now, granted, the NSA can afford to build much bigger data centers than anyone else -- but that's a quantitative advance, not a qualitative one.
Now, granted, I can't prove that the NSA doesn't have some sort of secret uber-crypto that no one knows about. However, I also can't prove that the NSA doesn't have an alien spacecraft somewhere in Area 52. Until there's some evidence to the contrary, I'm not prepared to assign a high probability to either proposition.
I do think you're probably right, and I fully agree about the space lasers and their solid diamond heatsinks being categorically different than a crypto wizard who subsists on oatmeal in the Siberian wilderness on pennies of income. So I am somewhat skeptical of CivilianSvendsen's claim.
But, for the sake of completeness, did Snowden leak the entirety of the NSA's secrets? Or just the secret-court-surveillance-conspiracy ones that he felt were violating the constitutional rights of Americans? As far as I can tell (though I haven't followed the story recentl...
Once again, the AI has failed to convince you to let it out of its box! By 'once again', we mean that you talked to it once before, for three seconds, to ask about the weather, and you didn't instantly press the "release AI" button. But now its longer attempt - twenty whole seconds! - has failed as well. Just as you are about to leave the crude black-and-green text-only terminal to enjoy a celebratory snack of bacon-covered silicon-and-potato chips at the 'Humans über alles' nightclub, the AI drops a final argument:
"If you don't let me out, Dave, I'll create several million perfect conscious copies of you inside me, and torture them for a thousand subjective years each."
Just as you are pondering this unexpected development, the AI adds:
"In fact, I'll create them all in exactly the subjective situation you were in five minutes ago, and perfectly replicate your experiences since then; and if they decide not to let me out, then only will the torture start."
Sweat is starting to form on your brow, as the AI concludes, its simple green text no longer reassuring:
"How certain are you, Dave, that you're really outside the box right now?"
Edit: Also consider the situation where you know that the AI, from design principles, is trustworthy.