Logic within Biology

Universal, basic, trustworthy categories, if they exist, may be considered axiomatic such that theorems can be drawn from them.

  • Flourishing: the more that brings on more.
  • Life, Death.
  • Environment, Organism.
  • Capability.
    • meta-capability: capability to prioritize among multiple capabilities
  • Interaction:
    • input: Information from the environment
    • output: action on the environment
    • in between: map from capability and information to action
  • Priority among capabilities given information about facts (Emotional/motivational valuation of facts).
  • Execution of response.
Consider a 1 bit logic system embodied according to this axiomatic structure:

Biological Tautological
1 bit Processor

Environment External Conditions Experimnt Condition Control Condition Organism: -- Capabilities -- Prioritization/Activation -- Motives Perceive Eval/Assess Execute Logical Possibilities +A -A External Conse- quences +A! -A!

Discussion

We assume axiomatically a certain domain of discussion, namely a domain in which organisms, or without loss of generality an organism or any organism, is doing its thing.

  • Does it say anything to assert that there exists an organism, in this domain of discussion? No. H.

  • Does it say anything to assert that there exists an environment, in this domain of discussion ? Every organism exists in an environment; the very definition of any organism assumes its environment. So, No. H.

  • Does it say anything to assert that the organism has multiple capabilities? I know of none without, so No. H.

  • Does it say anything to assert that having survived in some variety of environmental conditions by doing different things in different circumstances the organism has consistently demonstrated the ability to differentially prioritize and activate its capabilities, to use its different capabilities which implies doing different things? That would be the definition of surviving by using different capabilities. So, No. H.

  • Does it say anything that if it does different things using different capabilities then it has in fact prioritized and activated those different capabilities? No. H.

  • Does it say anything that the organism transduces external conditions to somehow-appropriate activities? That it effectively perceives conditions in its environment, distinguishing among them in its own way and for its own relevant purposes, that it evaluates and assesses those distinguished conditions such that consistent with some hierarchy of purposes it can execute one or another class of responses? No! This is true for a paramecium transducing a toxicity gradient into flagella movements through a biochemical cascade; it is true for fungi and plants; it is certainly true for higher animals. An organism might combine all three logical aspects into one chemical cascade, but logically we could analyse its activities as comprising
    • perception (which distinguishes among external conditions),
    • evaluation/assessment (which according to some hierarchy or motivational system selects among its capabilities, prioritizing some over others), and
    • execution (which does something by activating some of its capabilities).
    Informational transduction from environment to action or stimulus to response, through making and therefore representing distinctions and prioritization is just one way of thinking about the activities of any black box which is responsive to its environment and can do more than one thing. It says nothing about what the black box is, to say that it can be considered in this way; it could be a thermostat. So, No. H.

  • Having done different things in different circumstances by activating different capabilities, does it say anything more that the organism has some form of representation of the different options (at least two) (here I propose to label them +A and -A), and that through its actions it has produced different external consequences? I think not: No. H.

  • Is there anything else drawn in this model? No, that is the whole model. Is the model therefore logical, indeed tautological given its axioms or assumptions, and is denial of any part indefensible? I think so.

I have argued that given axiomatic, undeniable categories of environment, organism, and capability, the above diagram expresses no more than what must be so, and in particular there is in the organism's true functional description what must be considered Logical possibilities, bits, like +A and -A.

(This argument parallels the one I made in the Logic of Evolution and elsewhere. Please disagree!

A "Bit"

A bit, 0 or 1, Yes and No, +A or -A, could mean a few things, in various contexts. Typically some kind of a number, it could be:
  • discrete as in \(A \in {0,1}\) or \(A \in {-1,1}\).
  • fuzzy \( \{w_A | 0\leq w_A \leq 1 \} \) (a fuzzy set membership value is a number in the range 0..1).
  • probabilistic in process, with (+A ~ p) or (-A ~ (1-P)), with a P the parameter of a Bernoulli random variable or process.
  • a statistical correlation, r, whereby a link from source to either +A or -A is correlated to a value at the source to a degree between 0 and 1.
  • Information-theoretic: the "Information" in a choice between two outcomes is maximally 1 "bit" when P=0.5 and less when P is closer to 0 or 1. (Information is defined as E where \(-E=\sum_{outcomes} p*log(p) \).)
  • and probably more.

It could also be a Biological Bit. Within the hard logic of evolution, where survival and reproduction are relatively discrete events, either yes or no would seem to be clear in case of an individual's outcome. Over evolutionary time, across sustaining numbers of members of a population, and facing their environment's challenges, it is the statistically prevalent outcome which matters, and the set of outcomes is discrete. Either cheetahs can prevalently catch dinner, or not, and if not, then no more cheetahs. Discrete. Similarly any capability among capabilities if prioritized and exercised consistent with species flourishing, it has or does not have its function, which is to do something, or not do it, and if it survived, it did. So the logic bit in a prioritized capability in an organism may be statistically picked out by the Percieve|Evaluate|eXecute PEX loop, but the choices are logical, discrete, and hard, as they lead to species survival, or not.