So to try to say it differently—safety before the exercise of capturing entropy is equal across all possible outcomes. Safety post-capture, as it relates to a value, has a range based on human structure.

I agree with you—entropy measures the process, it’s not the value. Safety is a separate question.

000…001 has the same probability as the number exactly in the middle of the 128-bit range. A solid entropy process costs an attack the same expected guesses.

Safety is about the attacker's time and effort, and I think that's your point —safety varies by value, entropy doesn't.

High entropy, makes it so all equivalent entropy outcomes have the same “safety.”

Amazing stuff.

It is interesting! And it makes one consider the other dimension applied to entropy: time.

Not to mention probabilities to applying order to entropy (understanding or knowledge).

What is really mind blowing is human’s use of entropy for security in cryptography, harnessing decay to our advantage. #bitcoin