I was trying to demonstrate that any information can be trivially encoded as booleans -- "my name is John Smilh", "My name is John Brown", ... and so on gives a

I was trying to demonstrate that any information can be trivially encoded as booleans -- "my name is John Smilh", "My name is John Brown", ... and so on gives a series of boolean valued statements, and if you know the answer to all of them, then you know the name of the subject. Booleaness is no barrier to information leakage.