The solution of the Monty Hall problem hinges on the concept of information, and more specifically, on the relationship between added information and probability.

As 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.

We don't know what energy is, any more than we know what information is, but as a now robust scientific concept we can describe it in precise mathematical terms, and as a commodity we can measure, market, regulate and tax it.

The smell of subjectivity clings to the mechanical definition of complexity as stubbornly as it sticks to the definition of information.

The solution of the Monty Hall problem hinges on the concept of information, and more specifically, on the relationship between added information and probability.

If the intensity of the material world is plotted along the horizontal axis, and the response of the human mind is on the vertical, the relation between the two is represented by the logarithmic curve. Could this rule provide a clue to the relationship between the objective measure of information, and our subjective perception of it?

Entropy is not about speeds or positions of particles, the way temperature and pressure and volume are, but about our lack of information.