Dear FISers,
As always we have an interesting discussion with a variety of highly
intelligent participants, who suggest bright ideas.In the course of our
discussion, I would like to suggest a tentative answer to the first
question considered in it, namely, to the question:
1. Is it necessary/useful/reasonable to make a strict distinction
between information as a phenomenon and information measures as
quantitative or qualitative characteristics of information?
The reason to make a strict distinction between information as a
phenomenon and information measures as quantitative or qualitative
characteristics of information is based on the knowledge that, as a
rule, any phenomenon has different properties and it is necessary to
measure these properties. Naturally different properties demand
different measures for their measurement. To treat an object as two
different objects when this object is measured by two different measures
is the same as to say that there are two individuals in the case when
the same individual is observed from the right and from the left. All
our experience and all our theories teach us that different conditions
and results of observation do not always means that different objects
are observed. It may be the same object.
In the case of information, it has been demonstrated that it is possible
to build infinitely many measures of information. This well correlates
with the situation when the state space of quantum systems is
represented by an infinite dimensional Hilbert space, each dimension of
which corresponds to a property of this system.
Sincerely,
Mark Burgin
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