A Quote by Claude Shannon

Information: the negative reciprocal value of probability. — © Claude Shannon
Information: the negative reciprocal value of probability.
Just as entropy is a measure of disorganization, the information carried by a set of messages is a measure of organization. In fact, it is possible to interpret the information carried by a message as essentially the negative of its entropy, and the negative logarithm of its probability. That is, the more probable the message, the less information it gives. Cliches, for example, are less illuminating than great poems.
It was our use of probability theory as logic that has enabled us to do so easily what was impossible for those who thought of probability as a physical phenomenon associated with "randomness". Quite the opposite; we have thought of probability distributions as carriers 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.
Probability and expectation are not the same. Its probability and probability times the pay off.
It has been pointed out already that no knowledge of probabilities, less in degree than certainty, helps us to know what conclusions are true, and that there is no direct relation between the truth of a proposition and its probability. Probability begins and ends with probability.
Use the formula P=40 to 70, in which P stands for the probability of success and the numbers indicate the percentage of information acquired. Once the information is in the 40 to 70 range, go with your gut.
According to theism, if a universe is to have any probability of existing, this probability is dependent upon God's beliefs, desires and creative acts. But the Hartle-Hawking probability is not dependent on any supernatural considerations; Hartle and Hawking do not sum over anything supernatural in their path integral derivation of the probability amplitude.
It follows that the word probability, in its mathematical acceptance, has reference to the state of our knowledge of the circumstances under which an event may happen or fail. With the degree of information we possess concerning the circumstances of an event, the reason we have to think that it will occur, or, to use a single term, our expectation of it will vary. Probability is the expectation founded upon partial knowledge.
[Even the mechanism can be endowed with an image. Thus] the thermostat has an image of the outside world in the shape of information regarding its temperature. It has also a value system in the sense of the ideal temperature at which it is set. Its behavior is directed towards the receipt of information which will bring its image and its value systems together.
We can say with certainty - or 90% probability - that the new industries that are about to be born will have nothing to do with information.
We value integrity of information, we value processes, cyber- security. These are things important to the government.
If you do not value libraries then you do not value information or culture or wisdom. You are silencing the voices of the past and you are damaging the future.
To be a super-trader, you'll need an edge to overcome the laws of probability and the uncertainty of the marketplace. That edge comes from information flow, the ability to correct your habits in terms of the market's characteristics, and being able to take risks, cut losses, expand your information network, ferret out ideas, and take recommendations.
Being frugal, conscious of making money, is not a negative thing. That sensibility of creating value and finding value and reinvesting in those customers is what separates great restaurants from the average ones.
The idea is to try to give all the information to help others to judge the value of your contribution; not just the information that leads to judgment in one particular direction or another.
A reciprocal of a fraction is found by flipping it upside down. If you want the reciprocal of a mixed number or a whole number, just convert it to an improper fraction, and then flip it!
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