It is possible to compute over encrypted data without access to the secret key: https://en.wikipedia.org/wiki/Homomorphic_encryption It is possible to prove that you know a value x, without conveying any information apart from the fact that you know the value x:

hot water freezes faster than cold

https://en.wikipedia.org/wiki/Mpemba_effect

everything is subjective. especially laws.

7. Did you mean 365.25 days instead of 366.25?