The solution of the Monty Hall problem hinges on the concept of information, and more specifically, on the relationship between added information and probability.
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Chapter 9, Figuring the Odds, How probability measures information, p. 70Hans Christian von Baeyer
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A group may have more group information or less group information than its members. A group of non-social animals, temporarily assembled, contains very little group information, even though its members may possess much information as individuals. This is because very little that one member does is noticed by the others and is acted on by them in a way that goes further in the group. On the other hand, the human organism contains vastly more information, in all probability, than does any one of its cells. There is thus no necessary relation in either direction between the amount of racial or tribal or community information and the amount of information available to the individual.
Norbert Wiener
But what started out as a liberating stream has turned into a deluge of chaos. ...matters have reached such proportions today that for the average person, information no longer has any relation to the solution of problems. ...The tie between information and action has been severed. ...It comes indiscriminately, directed at no one in particular, disconnected from usefulness; we are glutted with information, drowning in information, have no control over it, don't know what to do with it.
Neil Postman
The relationship between information and the mechanisms for its control is fairly simple to describe: Technology increases the available supply of information. ...control mechanisms are strained... When additional control mechanisms are themselves technical, they in turn further increase the supply of information. When the supply of information is no longer controllable, a general breakdown in psychic tranquillity and social purpose occurs. Without defenses, people have no way of finding meaning in their experiences, lose their capacity to remember, and have difficulty imagining reasonable futures.
Neil Postman
An early insight in my work on the economics of information concerned the problem of appropriability — the difficulty that those who pay for information have in getting returns.
Joseph E. Stiglitz
"In an information-rich world, the wealth of information means a dearth of something else: a scarcity of whatever it is that information consumes. What information consumes is rather obvious: it consumes the attention of its recipients. Hence a wealth of information creates a poverty of attention and a need to allocate that attention efficiently among the overabundance of information sources that might consume it."
Herbert Simon
von Baeyer, Hans Christian
Von Bekesy, Georg
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