One very specific thought about the author's three ambitions: I really wonder about homomorphic encryption as a foundation for data science. It seems to me th

One very specific thought about the author's three ambitions: I really wonder about homomorphic encryption as a foundation for data science. It seems to me that any really good homomorphic encryption creates a dual space for a data set, so that anything discoverable in the original is equally preserved, and at least in theory, discoverable, from the encrypted dual. If your homomorphic encryption doesn't create a true dual space, then how do we trust the insights it is capable of developing as being either valid, or complete?