The solution of the Monty Hall problem hinges on the concept of information, and more specifically, on the relationship between added information and probability.
Hans Christian von BaeyerClaude Shannon, the founder of information theory, invented a way to measure 'the amount of information' in a message without defining the word 'information' itself, nor even addressing the question of the meaning of the message.
Hans Christian von BaeyerAs every bookie knows instinctively, a number such as reliability - a qualitative rather than a quantitative measure - is needed to make the valuation of information practically useful.
Hans Christian von BaeyerThe switch from 'steam engines' to 'heat engines' signals the transition from engineering practice to theoretical science.
Hans Christian von Baeyer