Hi Bruce and Alex,
--- This is also related to the ontolog list thread "twisted closed loop"
that also evolved in pierce-l list ---
For me concepts are a subspace of cartesian products. Point or set of
points.
[image: ranganathan3.png]
*> a “unit of knowledge created by a unique combination of characteristics”*
From the pictures above, the concept of a professor came from two
dimensions: matter and rhetoric. All the nine points are the concept of a
professor. And this complex concept is based on a tree of basic concepts
(for example Professor chemistry or Professor Brillant). [That a tree is a
line or a number between [0,1) can be read on Dewey Classification].
At the same time we can construct a subject heading more complex starting
by a hierarchical tree, that is a series of points in a line, and
transform all the subjects heading in other points in a line.
I oversimplify the concept. I use a R^3 world of concept. Can be related to
the firstness, secondness, and thirdness
[image: structure.png]
*For example this statement in similar BNF*
CompoundSubject = BasicFacet OtherFacet+
OtherFacet = RoundPersonality{0,1} RoundMatter{0,1} RoundEnergy{0,1}
RoundSpace{0,1} RoundTime{0,1}
RoundPersonality = LevelPME+
RoundMatter = LevelPME+
RoundEnergy = LevelPME+
LevelPME = Personality{0,1} Matter{0,1} Energy{0,1}
RoundSpace = LevelSpace+
LevelSpace = Space | FundamentalCategoryWithOutTSP*
RoundTime = LevelTime+
LevelTime = Time | FundamentalCategoryWithOutTSP*
FundamentalCategoryWithOutTSP = Matter | Energy | Personality
Matter = Material | Property
This compound subject became a single point in R^3 but this point is
related to other points that represent Space, Time, Matter, Energy and
Personality that are the basic hierarchical tree.
It's only an example for understanding the theory. You postulate a
hierarchical tree and you get a sort R^3 space of concepts . It is sorted
by level set.
So for me concepts are a set of points and a role to combine them.
Mauro
Il sab 13 mar 2021, 09:05 Alex Shkotin <[email protected]> ha scritto:
> Bruce,
>
> In math it looks simpler:
> -concept is an unary predicate,
> --relations are predicates with arity 2 and more,
> -predicate is a function returning truth value,
> -truth values are instances of agreement - usually just two: Truth and
> False.
>
>
>
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