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Formal Theories of Information - From Shannon to Semantic Information Theory and General Concepts of Information (Paperback, 2009 ed.)
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Formal Theories of Information - From Shannon to Semantic Information Theory and General Concepts of Information (Paperback, 2009 ed.)
Series: Theoretical Computer Science and General Issues, 5363
Expected to ship within 10 - 15 working days
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It is commonly assumed that computers process information. But what
is inf- mation? In a technical, important, but nevertheless rather
narrow sense, Sh-
non'sinformationtheorygivesa?rstanswertothisquestion.Thistheoryfocuses
on measuring the information content of a message. Essentially this
measure is the reduction of the uncertainty obtained by receiving a
message. The unc- tainty of a situation of ignorance in turn is
measured by entropy. This theory hashad an immense impact on the
technologyof information storage,data c- pression, information
transmission and coding and still is a very active domain of
research. Shannon's theory has also attractedmuch interest in a
more philosophic look at information, although it was readily
remarked that it is only a "syntactic" theory of information and
neglects "semantic" issues. Several attempts have been made in
philosophy to give information theory a semantic ?avor, but still
mostly based on or at least linked to Shannon's theory. Approaches
to semantic
informationtheoryalsoveryoftenmakeuseofformallogic.Thereby,information
is linked to reasoning, deduction and inference, as well as to
decision making. Further, entropy and related measure were soon
found to have important connotations with regard to statistical
inference. Surely, statistical data and observation represent
information, information about unknown, hidden para- ters. Thus a
whole branch of statistics developed around concepts of Shannon's
information theory or derived from them. Also some proper
measurements - propriate for statistics, like Fisher's information,
were proposed.
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