This collection of quotes is being compiled by Lo Snöfall

19 February 2010

http://en.wikipedia.org/wiki/Harlequin

http://brains.parslow.net/node/1589 

In the consensual world of emergent meaning, truth is a strange attractor  2010, January 13 - 12:27 — PatParslow

I blame @DaveOWhite and @FrancesBell for this line of thought, although it had occurred to me some time ago (during the CCK08 course, if not before).
In a world of consensual reality, we negotiate meaning through social interaction.  Indeed, we negotiate the reality itself, but that is a slightly different matter.  Each one of us maintains a model in our heads of what different words (or concepts) mean.  In order to be able to successfully communicate with others, we need to be able to establish a level of agreement about those meanings.  As we interact with different people,from different backgrounds and with different life experiences, our meanings of things get tugged in different directions.  As @FrancesBell has just commented “temporary convergences of truth are useful posts to cling on to as we try to cross the river of emergent meanings;)” – they provide anchorage and grounding.  I really like that because it also emphasises that we cannot, necessarily, rely on the convergence remaining fixed.

(http://commons.wikimedia.org/wiki/File:Mandel_zoom_14_satellite_julia_island.jpg CC-SA 3.0 licence
[Step 14. The magnification of the last image relative to the first one is about 10,000,000,000 to 1. Relating to an ordinary monitor, it represents a section of a Mandelbrot set with a diameter of 4 million kilometres. Its border would show an inconceivable number of different fractal structures. http://en.wikipedia.org/wiki/Mandelbrot_set]


The Mandelbrot set is a complex attractor – and this is a part of it.  The colours represent how quickly a point will escape from the set itself, under repetition of a simple mathematical formula.  The dynamics of convergence of meaning are likely to be much more complicated, and complex, than this.
There is similarity between the views, as is in the nature of fractals, but they are also quite different.  As we negotiate meaning, do we find the same types of change happen as we look at the fine-grained detail of a concept?  Is our internal, personal, interpretation of a thing, word or concept the actual meaning, or does the meaning belong to the collection of individuals – existing in the emergent connections between us, quite possibly never fully graspable by any one individual?
One of the things I am trying to do is to analyse the trajectory of concepts in meaning-space.  I doubt that sentence provides much clarity, but it may serve as an attractor to some...

http://en.wikipedia.org/wiki/Consensual_crime
http://en.wikipedia.org/wiki/Music_at_sporting_events
http://en.wikipedia.org/wiki/Ice_hockey
From oral histories, there is evidence of a tradition of an ancient hockey-like game played among the Mi'kmaq First Nation in Eastern Canada. In Legends of the Micmacs (1894), Silas T. Rand describes a Mi'kmaq ball game which the people called tooadijik. Rand also describes a game that was played (likely after European contact) with hurleys, called wolchamaadijik. European immigrants brought various versions of hockey-like games to Canada, such as the Irish sport of hurling, the closely related Scottish sport of shinty, and versions of field hockey played in England. Where necessary, these seem to have been adapted for icy conditions. Early paintings show "shinney", an early form of hockey with no standard rules, being played in Nova Scotia, Canada.
http://en.wikipedia.org/wiki/Mandelbrot_set

Plough in the dynamical plane, and harvest in parameter space.
Regardless of the extent to which one zooms in on the boundary of a Mandelbrot set, there is always additional detail to see.
When computed and graphed on the complex plane the Mandelbrot Set is seen to have an elaborate boundary which does not simplify at any given magnification. This qualifies the boundary as a fractal.
http://en.wikipedia.org/wiki/Recursive_definition
Most recursive definition have three foundations: a base case (basis), an inductive clause, and an extremal clause.
The difference between a circular definition and a recursive definition is that a recursive definition must always have base cases, cases that satisfy the definition without being defined in terms of the definition itself, and all other cases comprising the definition must be "smaller" (closer to those base cases that terminate the recursion) in some sense. In contrast, a circular definition may have no base case, and define the value of a function in terms of that value itself, rather than on other values of the function. Such a situation would lead to an infinite regress.


http://en.wikipedia.org/wiki/Koch_snowflake













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http://en.wikipedia.org/wiki/Basilica_di_Santa_Maria_Maggiore
FRÅGA CJ OM FÅGLARNA  
Pope Liberius commissioned circa 360 the construction of 
the Liberian Basilica on the summit of the Esquiline Hill[5].
 According to the founding legend, which cannot be traced farther back 
than the thirteenth century,[6]
 he wanted a shrine built at the site where an apparition of the Blessed Virgin Mary manifested herself in identical 
dreams shared by a local patrician and his wife and by the pope. 
According to tradition, the outline of the church was physically laid 
out on the ground of the noble's property by Liberius himself under a 
miraculous but predicted snowfall that took place on the night of 4-5 
August 352.[7]
 The legendary Miracle of the Snow was depicted by Masaccio
 and Masolino about 1423 in a triptych commissioned 
by a member of the Colonna family for the Basilica, now 
conserved in the Museo di Capodimonte, Naples.[8]
 In it the miracle is witnessed by a crowd of holy men and women and 
observed from above by Jesus and the Virgin Mary. Dedicated to the 
Blessed Virgin Mary under the title of Our Lady of the Snows, local 
Roman Catholics commemorate the miracle 
on each anniversary by dropping white rose petals 
from the dome during the mass of the feast. 
http://en.wikisource.org/wiki/Catholic_Encyclopedia_%281913%29/Our_Lady_of_the_Snow 
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Sagan om det röda äpplet  –  Jan Lööf

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