Cell Language Theory, The: Connecting Mind And Matter

464 The Cell Language Theory: Connecting Mind and Matter

b2861 The Cell Language Theory: Connecting Mind and Matter “6x9”

somebody for something in some respect or capacity” (see Section 6.3.1)

[94, p. 99; 454].

But, before I elaborate on this path further (see Table 10.12), let me

first discuss a more global piece of evidence for my claim. A casual perusal

of the field of cognitive maps suggested to me that there is a sufficient

amount of evidence to support the notion that all human knowledge can be

represented visually using graphs, which are iconic signs according to the

sign classification scheme of Peirce (see Section 6.3.1 and Table 6.6).

A graph can be defined as a 2-tuple,

Graph = G (V, E) (10.60)

where V is a set of vertices (also called nodes, or points) and E is a set of

edges (also called links, arcs, or arrows) connecting two or more nodes.

The basic unit of a graph can be considered to be a triad consisting of two

vertices, A and B, which are the elements of V, and one edge, f, an

element of E.

AB→f (10.61)

The triadic diagram in Process (10.61) may be conveniently referred

to as the “graphon”, which may belong to the same class of entities as the

semion recently defined by Gudwin as the unit of semiosis [293] and the

fundamental triad of Burgin (37).

Table 10.12 Three levels of description of entities in the Universe.

Theory Nodes Edges Domain of Application

Set Theory Points Mappings Mathematics (e.g., Euclidean space,

Banach space, Hilbert space)

Category Theory Objects Morphisms Mathematics, Physics, Logics

[452, 453] (the Eilenberg-

MacLane space (?))

Semiotics Signs Relations Mathematics, Physical Sciences,

Literature, Art, etc. (the “Peirce

space” (?))

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