Information Technology Reference
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5.52 The formalism of recursive functionals as employed in 5.5 for rep-
resenting cognitive processes, w, is isomorphic to the lexical definition struc-
ture of nouns. Essentially, a noun signifies a class, cl
(1)
, of things. When
defined, it is shown to be a member of a more inclusive class, cl
(2)
, denoted
by a noun which, in turn, when defined is shown to be a member of a more
inclusive class, cl
(3)
, and so on [pheasant Æ bird Æ animal Æ organism Æ
thing]:
(
[
(
[ ]
)
]
)
()
[
n
-
1
[
n
-
2
]
()
1
cl
=
cl
cl
...
cl
i
i
i
n
-
1
n
-
2
1
where the notation (
e
i
) stands for a class composed of elements
e
i
, and sub-
scripted subscripts are used to associate these subscripts with the corre-
sponding superscripts.
5.521 The highest order n* in this hierarchy of classes is always rep-
resented by a single, undefined term “thing,”“entity,”“act,” etc., which
refers to basic notions of being able to perceive at all.
5.6 Cognitive processes create descriptions of, that is information, about
the environment.
6 The environment contains no information. The environment is as it is.
References
1. G. Gunther, “Cybernetic Ontology and Transjunctional Operations,”
Self-
Organizing Systems
, ed. M. C. Yovits
et al
. (Washington, D.C.: Spartan Books,
1962).
2. A. H. Barr, Jr. (ed.),
Fantastic Art, Dada, Surrealism
(3rd. ed.; New York: The
Museum of Modern Art, 1947), p. 156.
3. M. Jean,
Histoire de la painture Surrealiste
(Edition du Seuil; Paris: 1959), p. 284.
4. L. Wittgenstein,
Tractatus Logico Philosophicus
(New York: Humanities Press,
1961).
5. S. Langer,
Philosophy in a New Key
(New York: new American Library, 1951).
6. H. Quastler, “A Primer in Information Theory,”
Information Theory in Biology
,
ed. H. P. Yockey
et al
. (New York: Pergamon Press, 1958), pp. 3-49.
7. J. Konorski, “The Role of Central Factors in Differentiation,”
Information Pro-
cessing in the Nervous System
, 3, eds. R. W. Gerard and J. W. Duyff (Amsterdam:
Excerpta Medica Foundation, 1962), pp. 318-29.
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