Data
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3 Price
Question: What is "Information"?
A possible answer (e.g. mine) to this question can be found in chapter
5.2.
3.1
Babylonian Confusion of Terms
The flood of information about information is already considerable.
There is
quantitative, semantic,
pragmatic, binary, genetic, neuronal, cybernetic, machine, biological,
animal, social, psychological, structural, coded, hormonal, human and
organismic information
etc. and so on.
It is hardly possible to know all the polemics already published on the
subject of information, let alone discuss them.
Here, it seems to me that a sampling in the manner of mathematical
statistics would be more appropriate in order to obtain at least a
rough overview of the "population of the state of knowledge" by means
of randomly selected writings.
However, this can only be the beginning, because even today the
following sentence is undoubtedly still fully valid
[78]:
„Die Frage nach dem Wesen
der
Information gehört bekanntlich zu den kompliziertesten und
meistumstrittenen Problemen der modernen Wissenschaft.“
(The question of the
nature of information is known to be one of the most complicated and
controversial problems of modern science.)
But first some definitions and opinions on the subject of information
as an introduction to the philosophical problem. For example:
„
Information is information,
neither matter nor energy.“ [79]
p.165
---- etc. ----
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3.3
Information Terms
The variety of already existing definitions of information, as
indicated in section 3.1, could well lead to the impression that there
is little point in trying to discover any order behind this jumble of
contrary opinions.
And yet, in my opinion, the many terms can at least be divided into two
groups: Subject-specific valid and generally valid information terms.
In the following, three subject-specific information terms are first
explained in a brief overview:
c)
Social Informations
Subsequently, some generally valid aspects and terms are discussed:
d)
Information, Substance and Energy
e) The
Non-conservation Law of Information
g)
Semantic Information
i)
Information and Choice
j)
Information and Order
---- etc. ----
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3.3 a
Biological Informations
Already at the gateway to the field of biology, we have to choose
between four major information systems
[105]
p.1:
1.) Genetics of the cell
2.) Nervous system and
brain
3.) Hormonal system
4.) Immunobiological system
For example, we choose system 1 and thus restrict ourselves in the
following only to genetic information.
Every living thing on earth basically consists of at least one cell or
of several cells. This applies without exception to every plant, animal
(including us), bacterium and fungus.
Each of these cells contains protein molecules as well as a tiny
amount of a certain substance called nucleic acid, which means "cell
nucleus acid". However, nucleic acid is also found in all cells of
nucleus-less bacteria and blue-green algae and is anything but a
liquid, as the name "acid" would suggest. Nucleic acid consists of
rather robust molecular filaments with a strict, almost crystalline
order.
Schrödinger once coined the term "aperiodic crystals" for all living beings
[106].
This is particularly true for nucleic acid. It consists of chain-like
structured macromolecules in which only 4 types of molecules are strung
together non-periodically (i.e. in an apparently random arrangement)
like pearls on a string. In higher organisms, individual macromolecules
of nucleic acid contain millions of such beads.
---- etc. ----
back to 3.3
3.3 b
Psychological Informations
Every animal creature is forced, under penalty of its physical
destruction, to inform itself sufficiently about its environment and
its own condition at every moment of its life and to initiate
appropriate measures immediately in case of danger.
This behavioural control, which is shaped by external information,
appears most clearly in the higher, mobile living beings almost as a
condition of existence. It is an incessant interweaving of internal and
external information processing.
For orientation in space alone, animal organisms (including WE) mostly unconsciously use two typical types of information
[125] p.81:
Firstly, determining the position of
the organism in space by checking the position of the body in relation
to the centre of the earth, and secondly, determining the direction and
distance of objects or other living bodies.
There is a constant change between passive information intake and active behaviour control.
This stream of information also accompanies us without interruption from the cradle to the grave.
---- etc. ----
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3.3 f
Quantitative Information
(also called syntactic or selective information)
A quantitative measure of information was first proposed by Ralph Hartley in 1928
[133].
This "quantity-based" measure has nothing to do with meaning content.
Rather, it is based on the idea that every piece of information is
fundamentally associated with a choice of variants.
For any symbol to actually be a carrier of information, it must represent at least one selection from
two
variants. In Morse code, for example, there are not only strokes, but
also dots and pauses. Only with strokes of the same length as the only
character variant or only with dots or even only with infinitely long
pauses, no information can be transmitted.
According to Hartley, only the number s of possible
character variants of a symbol determines the "information content" or
the "amount of information" of the symbol in question:
H
= log s
(1)
Die Informationsmenge H ist demzufolge mit dem
Logarithmus
der möglichen Variantenanzahl s identisch. H ist
zunächst
nur eine dimensionslose Zahl.
Here, s must always be greater than or equal to 2. If only 1
variant is available for a symbol, the information quantity is zero
because of log 1 = 0. There is no choice here.
This corresponds completely to everyday experience: What I already know, I can no longer experience as news!
Sometimes the amount of information is also referred to as the "surprise amount"
[134] p.230.
The more surprising an incoming message is, the greater the amount
of information it contains. Zero information is therefore equal to zero
surprise.
---- etc. ----
In order to calculate the amount of information H of the "whole"
symbol, the individual amounts of information Hi must not
simply be added together. They must be statistically averaged.
For
non-equally probable
character variants of a message symbol, the information quantity of
such a symbol is therefore according to Shannon
[136] p.393
H* = - K · Σ ( pi · log pi )
(6)
witht H*: statistically averaged amount of information
(was also called "information entropy" by Shannon)
K: actor for normalising the logarithmic base
Σ:
um, here from i = 1 to s , with s: Number of possible character variants i
pi:
probability for the occurrence of the special character variant i
In
deviation from Shannon's original work, I have not denoted the number
of character variants with n here, but with s ,
following Hartley's formula (1). And instead of H I have
written H*.
In contrast to Hartley's information set H, Shannon's
information set H* represents a statistical mean (an
expected value). This is illustrated by the following derivation.
---- etc. ----
back to 3.3
3.3 h
Pragmatic Information
Semiotic pragmatics examines the effect of information on the receiver. Pragmatic information is value-related information.
However, the value or usefulness of a message can only be assessed
in the context of the common target system of sender and receiver
[154] p.43. Thus, pragmatic information is decisively characterised by subjective aspects.
Pragmatic information is thus not an objective quantity that can be
regarded as a physical property of a system independent of the
assessment by the sender or the receiver.
Wolkenstein demonstrated the extent to which the value of
information depends on the state of the receiver using the example of a
university textbook for mathematics
[117] p.188:
The information it contains can be
almost as worthless to a professor of mathematics as it is to a
pre-school child. It is quite different for a student of mathematics.
A certain book (with its unchanged syntactic and semantic
information content) can therefore not only have a different value for
several people, but also take on increasing and decreasing value over
time for one and the same person.
In contrast to semantic information, pragmatic information in many
cases has an instructional character and then also usually triggers
certain actions in the recipient.
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