Ordinality - sequence, quantitative precision; Cardinality - size,
distortion, exageration, topology.
A common theme from RNA/DNA through neuron to neo cortex and out into
culture: see
http://www.eisa.net.au/~lofting/neuron1.gif
The text/context distinction is not clear. You can associate text with
expression, axonic, and associate context with what is behind the
expression, feeding it -- dendritic.
Generalisation of the basic dendrite-soma-axon dynamic has led to
entanglements of the basic characteristics of each element such that
dendritic behaviour can be expressed at a general level 'independently' of
axonic behaviour through lateralisation of synapse chemistry; thus general
expression is possible, 'cardinal' expression where cardinality includes the
concept of 'random' since there is the potential for no metrics data in
topological concepts IOW a degree of 'ordinal-freeness'.
The mediator process incorporated into the soma (sychronisation of firing
etc) can be extended upto the concept of consciousness where consciousness
acts as a management process.
The dynamics is in the oscillations that occur when processing data where
accumulate time in one hemisphere leads to the general expression of the
characteristics of that hemisphere in behaviour (see hemisphere switching
papers at Prof J. Pettigrew's website:
http://www.uq.edu.au/nuq/jack/InterhemisphericSwitching.html and
http://www.uq.edu.au/nuq/jack/procroysoc.html )
The oscillations can be treated as cellular automata processes where the
'left/right' oscillations lead to conscious states containing 'archetypal'
images (possibly due to affine transformations?)- see Prof Emeritus Joel
Isaacson's paper : http://www.eisa.net.au/~lofting/stegan.html .
>From a yin/yang perspective so yin is cardinality and the source of
transformations. Yang is ordinality and the source of expression. Zoom-in
and each is in the other; the weaving together of these characteristics
creates a context that supports us.
For some general comments (table of associations to the ordinal (left
thread) and cardinal (right thread)) see
http://www.eisa.net.au/~lofting/hemis.html ) as well as the comments on
Cantor and transfinites in http://www.eisa.net.au/~lofting/maths.html
For reflection ordinal/cardinal and such concepts as 'particle/wave' duality
(ordinal/cardinal) see http://www.eisa.net.au/~lofting/bits.html - abstract
of which is:
“This website deals with how we humans derive meaning and then encode that
meaning in our maps. This particular paper covers the possible confusion
that can occur when in the process of map creation we encode properties of
the METHOD of analysis as if they are properties of that which is under
analysis. Physicists of the past have had little or no understanding of
neurological function when in the process of making their maps and so lacked
knowledge of these often implicit, unconscious methods and their properties.
In this paper is demonstrated how the method of applying a dichotomy
recursively, a method used by the brain to process data, can lead to the
identification of frequency distributions of data suggesting wave
interference at work. Thus a property of the METHOD of analysis has crept-in
to quantum mechanics and been interpreted as a property of quantum
mechanics; we have failed to identify (until now) the property as a
manifestation of methodology, a methodology apparently sourced in our
neurology.”
best,
Chris.
------------------
Chris Lofting
websites:
http://www.eisa.net.au/~lofting
http://www.ozemail.com.au/~ddiamond
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