Cell Language Theory, The: Connecting Mind And Matter

418 The Cell Language Theory: Connecting Mind and Matter

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

the Hertz diagram may be that it is not “abstract” or “general” enough to

integrate quantum mechanics and Peircean semiotics as the PPM diagram

(Figure 10.10) can. In this sense, the Hertz diagrams as formulated by

Pattee’s commutative diagram is a specialized version of the more general

PPM diagram or the PPM category theory of science.

Apparently, independent of Hertz and Pattee, R. Rosen (1934–1998)

[195] developed a modeling relation very similar to that of Hertz, as evi-

dent in Figure 10.13.

10.9 The Signless and the Dao as the Source

of Everything Including Signs

Peirce identified interpretant-less signs as icons and indexes, and object-

less signs as sinsigns [98, pp. 31–47] (see Table 10.5). However, to the

best of my knowledge, Peirce never discussed the concept of the “repre-

sentamen-less sign”, which would have been the logical extension of the

interpretant-less and the object-less signs. According to the quark model

of signs (QMS) (see Section 6.6.3), the Peircean signs can be represented

simply as Sijk, where the indexes obey the so-called Peircean selection

rule, namely, i ≤ j ≤ k, where “A ≤ B” reads as “A is not greater than B”.

The ten classes of signs defined by Peirce (see Table 6.8 in Section 6.6.2)

Natural Law

(embodied in the human observer)

E^LJƐƚĞŵ &^LJƐƚĞŵ

ϭ

Ϯ

ϯ

κ

Figure 10.13 Rosen’s modeling relation. N = the natural system, or the part of the

Universe exhibiting regularities; F = the formal system; 1 = causal entailment; 2 = encoding;

3 = inferential entailment; 4 = decoding/actualization. Adopted from [25, p. 641; 195].

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