Cell Language Theory, The: Connecting Mind And Matter

416 The Cell Language Theory: Connecting Mind and Matter

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

10.8 The Hertz–Rosen–Pattee (HRP) Model of Reality

Heinrich Hertz (1857–1894) wrote [376]:

We form for ourselves images or symbols (innere Scheinbilder) [pic-

tures, patterns, projections] of external objects; and the form that we

give them is such that the logically [syntactically] necessary conse-

quents (denknotwendigen) of the images in thought are always the

images of the necessary natural consequents (naturnotwendigen) of the

thing pictured.... For our purpose it is not necessary that the images

should be in conformity with the things in any other respect whatever.

As a matter of fact, we do not know, nor have we any means of know-

ing, whether our conception of things are in conformity with them in

any other than this one fundamental respect. (Emphases added by

H. Pattee) (10.18)

It is interesting to point out that the lack of the isomorphism between

theoretical entities and the elements of the underlying reality mentioned

in Auletta and Torcal’s Statement (10.17) is echoed in the second half of

Hertz’s text, Statement (10.18), indicating that quantum mechanics as

interpreted by Auletta and Torcal and the Hertz model of reality are in

substantial agreement.

In [biosemiotics: 7829], [email protected], dated December 22,

2014, H. Pattee represented the content of Statement (10.18) diagramma-

tically as shown in Figure 10.11, stating that

I would propose that the Sung commutation diagram [i.e., Figure 10.10;

my addition] is a subgraph of the Hertz/Pattee commutation diagram.

Sung omits time, which is what laws are all about. As Poincaré empha-

sized, that is what is missing from logic. (10.19)

A more complete version of Figure 10.11 was attached to [biosemiot-

ics: 7829] which is reproduced in Figure 10.12, where the dark blue

sentence in quotation marks is from the Hertz text, Statement (10.18).

It is clear that the Hertz commutative diagrams as formulated by

Pattee (Figures 10.11 and 10.12) and the PPM category-theoretical model

of science (Figure 10.10) have a lot in common, both being members of

the ur-category (Figure 10.9).

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