In 1948, Claude Shannon needed a way to measure information. The answer he found is the most useful idea most people have never met: information is surprise.
A message carries information only to the degree you couldn't have predicted it. If you knew what was coming, the bits are wasted. Shannon called the measure entropy:
H = −Σ pi log₂ pi
A coin that always lands heads tells you nothing. A fair coin tells you one full bit per toss. The unpredictable source is the informative one.
This is arithmetic, not metaphor. A year later Shannon ran the same mathematics through secrecy systems: encryption and information are one subject. A cipher hides meaning by making it look like noise; a great talk does the reverse, delivering what looks impossible to predict and decodes into sense.
And yes, pure noise has maximum entropy and zero value. The objection writes itself. But entropy only pays when the receiver can decode it: the goal is the most surprise your audience can still absorb.