Cell Language Theory, The: Connecting Mind And Matter

The Universality of the Planckian Distribution Equation 365

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

whether AUC(PDE) is greater than, equal to, or less than AUC(GLE),

respectively, leading to the conclusion that

Information can but entropy cannot be negative. (8.12)

Hence that

Information is not entropy. (8.12a)

I am here recommending that Statements (8.12) or (8.12a) be

referred to as the First Law of Informatics (FLI). It is hoped that FLI will

help clarify the decades-long confusions plaguing the fields of informat-

ics, computer science, thermodynamics, biology, and philosophy (see

Table 8.5).

Another way of supporting the notion that information and entropy

are not equivalent is to apply the concept of irreducible triadic relations

(ITR) discussed in Chapter 9. According to Peirce (1839–1914), the sign

is an irreducible triad of object, representamen (also called sign), and

interpretant (see Section 9.1). As can be seen in Figure 8.9 below, the

communication system of Shannon is also irreducibly triadic, thus map-

ping to the sign triad, in which entropy is one of the three nodes and

information is one of the three edges. Clearly, nodes and edges are two

different classes of entities, consistent with FLI, Statement (8.12a).

Figure 8.9 The isomorphism between the communication system (the source–message–

receiver triad) and the semiotic system (the object–sign–interpretant triad), the “interpre-

tant” being defined as the effect that a sign has on the mind of an interpreter. The arrows

read “determines” or “constrains”. f = sign/message production, g = sign/message interpre-

tation; h = information flow, or correspondence.

f g

Object Sign Interpretant

Source> <Message> <Receiver>

[Entropy]

<

h

[Information]

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