There are a lot of problems who seem contradictory until they are solved by cryptography.
There are a lot of problems who seem contradictory until they are solved by cryptography.
https://www.coursera.org/learn/cryptography/lecture/be3ae/th...
Last year I came across a "fair" version of the Socialist Millionaires problem. How can two persons interact with one another to compare their bank statement. If you think about it, you might consider that in any interaction, a party might abort the exchange as soon as he learns the result and would then have an advantage over the other party. But not too long ago cryptography found a way to make this fair :) (https://www.cryptologie.net/article/279/how-to-fairly-compar...)
Barring a human-computer interface that conveys messages directly into someone's brain, I don't see this as possible. If you can see it or if you can hear it, then it is copy-able.
Some crypto work is focused on proving that certain things are impossible. But so far I haven't seen any paper proving that this was impossible.
Before Bitcoin came along a working decentralized P2P currency had been considered impossible, since nobody could figure out a way to make a P2P currency unforgeable (and therefore work as a currency) before that.