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Samuelson, however, hedged his personal bets - by putting some of his own money in Berkshire Hathaway.
The more improbable the message, the less "compressible" it is, and the more bandwidth it requires. This is Shannon's point: the essence is its improbability.
Paradox is thus a much deeper and universal concept than the ancients would have dreamed. Rather than an oddity, it is a mainstay of the philosophy of science.
Bernoulli's real contribution was to coin a word. The word has been translated into English as "utility". It describes this subjective value people place on money.