Information Channeled

Suppose we find ourselves in the classification‑augmented or sign‑enhanced situation of uncertainty shown in Figure 5.  What difference does it make to our state of information regarding the objective outcome if we heed one or the other of the two signs, “A” or “B”, at least, operating on the charitable assumption we grasp the significance of each sign?

• Under the sign “A” our uncertainty is reduced from to
• Under the sign “B” our uncertainty is reduced from to

The above characteristics of the relation between uncertainty and information allow us to define the information capacity of a communication channel as the average uncertainty reduction on receiving a sign, a formula with the splendid mnemonic “AURORAS”.

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