Cell Language Theory, The: Connecting Mind And Matter

472 The Cell Language Theory: Connecting Mind and Matter

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

supplementarity (see Section 2.4). Again, supplementarity is an additive

relation, i.e., A + B = C, and complementarity is nonadditive, i.e., A^B = C,

where the symbol ^ indicates that A and B are complementary aspects of

a third entity C or that C appears as B or A depending on the mode of

observations employed. In Table 10.14, these two principles are suggested

to act as the symmetry principles connecting physics and biology.

The lack of congruency between Figure 10.32 and the Gnergy

Tetrahedron (Figure 10.15) may have at least two possible explanations:

1. There may be one or more logical errors embedded in the reasoning
   behind the formulation of one or both of Figure 10.32 and the Gnergy
   Tetrahedron, Figure 10.15 and


2. Knowledge in Figure 10.32 and life in the Gnergy Tetrahedron may be
   more or less synonymous or refer to the same object.

If possibility 1 can be ruled out upon further scrutiny, we will be left

with possibility 2, which in effect asserts that

Knowledge and life are more or less synonymous and belong to the

same category of entities that also includes mind and the formal

system. (10.63)

If Statement (10.63) is accepted, the Gnergy Tetrahedron and

Figure 10.32 become logically consistent with each other, although dif-

ferent diagrammatically, which may be considered to be an example of

antisymmetry discussed by Darvas [464] (see below).

Symmetry is generally defined as “invariance under any kind of trans-

formation” (https://en.wikipedia.org/wiki/Symmetry) or as “the existence

of different viewpoints from which the system appears the same” [468].

Darvas [464] provides a more detailed definition:

In a generalized sense, we can speak of symmetry if

• in the course of any kind of (not necessarily geometrical) transforma-
  tion (operation)


• at least one (not necessarily geometrical) characteristic of


• the affected (arbitrary and not necessarily geometrical) object remains
  invariant (unchanged). (10.64)

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