There is an entire field of study behind the anonymity within encrypted information called homomorphic encryption, which was invented about 20 years ago and has been evolving since then. It allows calculations on encrypted information, without decrypting it. Pretty nuts.
Aside from that, I don't see a problem with encrypting posts on Hive just as we do already with encrypting memos. With some UI tweaks along with the necessary blockchain and middleware changes you would end up with a privacy system comparable to FB.
That is true but at what point are we at with that encryption and the training of AI without actually accessing the data.
And then, does that mean it will be open to smaller entities creating the system to use the data or is it a case where only the likes of FB can construct something like that.
I'm not exactly sure what you are asking here, but I'll reply to what I think you are asking :)
AI requires data to train it. If our own data is private and can only be unencrypted by the owners of the data or those they invite, then the AI can't use it and privacy is maintained. This might result in the Terminators not being able to defeat you when they finally arrive.
The privacy I am talking about can be built in to layer 1 on Hive. I have been discussing it with the original developer of the security on Hive/Steem.