You lost me on why that would make it any harder to define the difference 
between patterns and metapatterns. A pattern is a constraint applied to a set 
of things which is expressed as a description of those things' parts/structure. 
As such, patterns themselves can be placed in a set constrained by their own 
parts/structure, creating a metapattern which acts as a category over those 
patterns. It's the difference between a set of sets and the union of those same 
sets. Or if you want a different analogy, it's the difference between a group 
of regular expressions which match against strings, and a regular expression 
which matches strings that fit the syntax of regular expressions. But 
fundamentally, the reason this conversation is so complicated is the mixing of 
levels between description & described. You are both trying to describe 
what a description or pattern is. What you say about a pattern or description 
is not that pattern or description itself.


On Aug 23, 2012 9:25 AM, Jim Bromer <[email protected]> wrote: 

Aaron,Thanks for helping me with a word. (Meta pattern).  But we have been 
going through this kind of thing with Mike for years and years.  He 
doesn't get it because he doesn't want to or can't.
 The elements that I mentioned were elements.  The white color, for 
example, was clearly an element of the patterns.  The fact that someone 
might think that a precise form like a particular triangle of the same size and 
shape had to be the finest definition of an element in some collection 
of patterns doesn't make it so.  Yes we can agree on a definition of 
what qualifies as an element or we can agree to disagree, but my point is that 
the color white was an element that was common to every one of those designs 
and there is no equivocation around that. So the difference between the meta 
pattern and the pattern may not be so easy to define.
Jim Bromer

On Thu, Aug 23, 2012 at 9:55 AM, [email protected] 
<[email protected]> wrote:

Where the disagreement arises is that these two are talking about different 
levels of representation. It's the difference between use ("a dog" or "a 
pattern") and mention ("the word 'dog'" or "the pattern 'pattern'").  Mike 
is insisting on a strictly use-based representation, looking for common 
elements *between* the patterns, and Jim is failing to point out the difference 
between elements and characteristics, the characteristics of the different 
patterns being the elements of the metapattern. 


-Aaron

On Aug 23, 2012 7:38 AM, Ben Goertzel <[email protected]> wrote: 






 
If you want to put that mathematically, take a whole set of diverse 
patterns – Koch curve, Mandelbrot, herringbone, cellular automaton etc . etc. – 
and explain how the brain is able to abstract from *all of them together* and 
recognize them collectively as “patterns”  (and not just as Koch 
curves/herringbones etc. etc).
 
Where’s the pattern in a set of diverse patterns, B & B? And where’s 
the complexity, Jim?

that's easy, these are all obviously susceptible to lossy compression using 
algorithms native to the brain...


ben 







  
    
      
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