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Books > Science & Mathematics > Mathematics > Mathematical foundations
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A Missing Link in Cybernetics - Logic and Continuity (Paperback, Softcover reprint of hardcover 1st ed. 2009)
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A Missing Link in Cybernetics - Logic and Continuity (Paperback, Softcover reprint of hardcover 1st ed. 2009)
Series: IFSR International Series in Systems Science and Systems Engineering, 26
Expected to ship within 10 - 15 working days
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In this book I argue that a reason for the limited success of
various studies under the general heading of cybernetics is failure
to appreciate the importance of con- nuity, in a simple metrical
sense of the term. It is with particular, but certainly not
exclusive, reference to the Arti cial Intelligence (AI) effort that
the shortcomings of established approaches are most easily seen.
One reason for the relative failure of attempts to analyse and
model intelligence is the customary assumption that the processing
of continuous variables and the manipulation of discrete concepts
should be considered separately, frequently with the assumption
that continuous processing plays no part in thought. There is much
evidence to the contrary incl- ing the observation that the
remarkable ability of people and animals to learn from experience
nds similar expression in tasks of both discrete and continuous
nature and in tasks that require intimate mixing of the two. Such
tasks include everyday voluntary movement while preserving balance
and posture, with competitive games and athletics offering extreme
examples. Continuous measures enter into many tasks that are
usually presented as discrete. In tasks of pattern recognition, for
example, there is often a continuous measure of the similarity of
an imposed pattern to each of a set of paradigms, of which the most
similar is selected. The importance of continuity is also indicated
by the fact that adjectives and adverbs in everyday verbal
communication have comparative and superlative forms.
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