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The Flow of Information

Now consider a case in which it is natural to speak of ``information flow''. The manner in which the diaphragm of a certain microphone is vibrating carries information about what a certain announcer is saying. The modulation of the electromagnetic signal arriving at a certain antenna carries information about the way in which that microphone diaphragm is vibrating. And finally, the modulation of the elecromagnetic signal arriving at the antenna carries information about what the announcer is saying, for instance, ``Nancy Reagan is irritated''.

How does the modulation of the electromagnetic signal at the antenna carry information about the words the announcer spoke? Let's look at the constraints and connecting facts that are involved.

The first constraint we call tex2html_wrap_inline744 : If the diaphragm of a micro phone vibrates in a certain way ( tex2html_wrap716 ), then the announcer's voice produced certain sounds ( tex2html_wrap717 ), given that the announcer was speaking into the mike ( tex2html_wrap718 ).

tex2html_wrap_inline746

The connecting fact, that the announcer was speaking into the microphone we call tex2html_wrap_inline748 .

The second constraint we call tex2html_wrap_inline750 : if the electromagnetic signal reaching the antenna is of a certain type ( tex2html_wrap719 ), then the diaphragm of the microphone vibrates in a certain way ( tex2html_wrap716 ), given that the antenna and the microphone are connected in a certain way ( tex2html_wrap721 ).

tex2html_wrap_inline752

The connecting fact, that the antenna and the mike are connected in this way, we call tex2html_wrap_inline754 .

The third constraint we call tex2html_wrap_inline756 : if the electromagnetic signal reaching the antenna is of a certain type ( tex2html_wrap719 ), then the announcer's voice produced certain sounds ( tex2html_wrap717 ), given that the announcer was speaking into the mike and that the antenna and the microphone are connected in a certain way ( tex2html_wrap724 .gif

tex2html_wrap_inline768

The connecting fact, that the antenna, mike and voice are connected in this way, we call tex2html_wrap726 .

Let P be the proposition that the announcer said ``Nancy Reagan is irritated''. Let Q be the proposition that the diaphragm of the mike in question is vibrating in such and such a way--the way that is the major constituent of type tex2html_wrap_inline774 . Then

Moreover, we say that

In such a case, we also say information of type tex2html_wrap_inline786 flows along channels of type tex2html_wrap_inline788 . We can derive something more like the normal use of the term if we move to the individual objects, the carriers, that are constitutents of the connecting types.gif

We might as well generalize, and state the following principle of information:

(K) There are laws of information flow.

Laws of information flow involve compound infons and relations among the parameters of those infons. In plain(er) English: laws of information flow involve relations among states of various components of information systems, states of various objects remote from those systems and connections between these. These laws are useful or exploitable to the extent that these relations and connections are controllable or at least knowable.gif


next up previous
Next: The Helpfulness of Information Up: Information Previous: An Application of the

John Perry
Sat Nov 16 22:19:34 PST 1996