Part I

The Adi Ontology

Part III: Cognitive Ontology

By Tom Adi, November 23, 2004

Version 23

 

In Part I, we introduced our first layer of abstraction, a complex abstract framework called the substructural ontology.  The substructural framework operator q generates the 8x4 matrix Q whose elements are each a substructural frame.  Adi derived q by induction from notions associated with the contextual usage of the elements of the 8x4 matrix A of Arabic vowels and consonants.  We conjecture that Q is an abstract representation of all elementary processes in the real world.

 

In Part II, we derived our second layer of abstraction from notions associated with the contextual usage of Arabic word stems.  These notions indicate that stems represent function frames, a higher order framework which we conjecture to be the ontology of real-world functions that consist of elementary processes.

 

We will now define ontological frames called cognitive frames that reflect the implementation of function frames in real-world environments. This is our third layer of abstraction, the cognitive ontology.

 


 

1. Third Layer of Abstraction--Cognitive Ontology

 

We conjecture that when we think, speak, act, read, research or develop, we always use words or notions that correspond to some word stems, that in turn correspond to some function frames.

 

Our conjecture is that cognition is about implementing function frames in real-world environments. Our third layer of abstraction is then the cognitive ontology.

 

Adi chose 2,750 function frames for the Readware technology.  We will refer to them as the elements m1, m2,..., m2750 of the functional ontology M.

 

Define a simple cognitive frame g as a frame that consists of a user u who implements a function frame mi in an environment v

 

g = frame(u, mi, v)

where u is a user

mi is a function frame out of M, i = 1 to 2750

v is an environment

 

We will explore how cognitive frames inherit properties such as precedence rules, polarities and control structures from the substructural ontology and the functional ontology, and then go beyond such inheritance and develop higher order precedence rules, abstract structures and properties.

 

We will start by constructing and examining cognitive frames.  Unlike the substructural ontology and the functional ontology where the structures were "found" or "discovered" by induction over notions observed in contextual usage of language, the structures of this layer are created by Adi, and can be created by others.

 

The origins of the ontological frames of the substructural and the functional layers were not discussed.  But the frames were deemed stable and naturally occurring.

 

But cognitive frames are created here and now.  We are modeling cognition.  Cognitive frames are experimental, empirical frames.

 

Still, Adi believes that these cognitive experiments are not arbitrary.  To begin with, a crucial component of the artificial cognitive frame is a rigid abstract structure, a naturally occurring structure: the function frame.

 

Therefore, our cognitive ontological experiments can be studied with the prospect of finding "natural laws" like the precedence rules, polarity effects and control mechanisms which we found in the two lower ontological layers.

 

Let us simplify and visualize function frames for an easier discussion.

 

We will only mention elements of Q by their verbal designations in Q, e.g. "engaged assignment of containment" instead of q(6, 3).

 

We will use a self-explanatory arrow notation.  For example, one of several function frames for the function of construction, m1 out of M (indicated by the stem "ssad lam hha"), is stated as

 

m1 = a construction function =

            engaged assignment of containment

            =(assignment of manifestation)=>

            inward assignment of manifestation and containment

 

This means that the single controller (outward assignment of manifestation) runs a thematic interaction between the other two substructural frames in the outward direction indicated by the arrow "=>".

 

This simplified, visualized notation facilitates the discussion of how a certain user u may implement a certain function frame mi out of M in a certain environment v.

 

To explore the structures of the cognitive ontology, it makes sense to bootstrap by starting with cognitive frames that implement function frames that deal with construction and destruction.

 

Let us return to m1 and practice some cognitive interpretation.  We say that the controller "outward assignment of manifestation" designates a function.

 

Define the interpret operator from the verbal designations of the substructural ontology Q and the verbal designations of the functional ontology M to the verbal designations of the cognitive ontology

 

"designate function" = interpret ( "=(assignment of manifestation)=>" )

 

 Similarly

 

"a construct" = interpret ( "engaged assignment of containment" )

 

"complex function" = interpret ( "inward assignment of manifestation and containment" )

 

The whole construction function m1 can thus be interpreted

 

 interpret (m1) = designate a construct to a complex function

 

The cognitive frame g1 models how the user "cook" implements m1 by designating to a construct of "cuts" and "bread" the complex function "sandwich."

 

g1  = frame ( cook, m1, {bread, cuts} ) = "sandwich"

 

The expression "sandwich" also serves as a verbal designation, a name, for the cognitive frame g1 itself or for one of its instantiations.

 

The user "analyst" implements m1 to find the "subject sandwich" in a text by looking for the co-occurrence of the words "bread" and "cuts."

 

g2 = frame ( analyst, m1, {"bread", "cuts"} ) = "subject sandwich"

 

The user "carpenter" implements m1 to make a box by nailing some wood together.

 

g3 = frame ( carpenter, m1, {wood, nails} ) = "box"

 

The user "doctor" implements m1 to sew a wounded person together with needle and thread.

 

g4 = frame ( doctor, m1, {wounded, needle, thread} ) = "stitching up a cut"

 

Let us now consider the implementation of a destruction function (indicated by the stem "fa seen dal").

 

m2 = destruction function =

            outward manifestation

            <=(assignment of containment)=

            engaged manifestation

 

This means that the single controller (assignment of containment) runs a thematic interaction between the other two substructural frames in the inward or backward direction indicated by the arrow "<=".

 

If we interpret "outward manifestation" as "malfunction," interpret "inward assignment of containment" as "structural reduction" and interpret "engaged manifestation" as "coherent function," then we have

 

interpret ( m2 ) = destruction function

                          = structurally reduce coherent function to malfunction

 

In the cognitive frame g5, the user "kid" structurally reduces a glass by hand to malfunction (to pieces).

 

g5 = frame ( kid, m2, {hand, glass} )

 

Next we consider the implementation of other function frames that have to do with destruction.

 

One function frame for attack is

 

m3 = attack function =

        engaged manifestation (inward containment)

 

read "engaged manifestation on inward containment."  Interpret "engaged manifestion" as "interact" and interpret "inward containment" as "closed space," then we have

 

interpret ( m3 ) = attack function =

                             interact with closed space

 

The user "hacker" implements the cognitive frame g6 to interact with the closed space "private computer" (attack it) using a virus

 

g6 = frame ( hacker, m3, {private computer, virus} ) = cyber attack

 

There are several other function frames in M that deal with attacks.  Each one will give us a cognitive model of a different type of attack.

 

The functional ontology M is like a library of cognitive tools that can be used to build a cognitive ontology for any system one can think of.

 

We conjecture that human cognition is based on a set of conscious or unconscious implementations of functional frames out of M or a similar set underlying a human language.

 

We conjecture that the three layers of the Adi ontology form a complete theory of cognition.

 

 

2. A Socio-Cognitive Ontology

 

The Readware software is not limited to social applications.  But Readware has implemented social cognitive frames based on the universal theory of law.  These frames were developed based on the work of scholars of the theory of law such as Shatibi, a judge from Spain of the Golden Age.  The US Constitution and the Bill of Rights are based on the same theory of law.

 

Adi advanced the state of the art of legal theory in order to create the socio-cognitive frames of Readware.

 

The Aesop Orb/Readware demonstration uses some socio-cognitive frames.

 

Socio-cognitive frames usually contain the user "lawmaker."

 

The user "lawmaker" wants to preserve three types of human interests: those of mind, body and business in descending order of precedence.  The user "lawmaker" also wants to secure the realization of human interests at three levels of fulfilment: essential fulfilment, smooth fulfilment, and aesthetic fulfilment in descending order of precedence.

 

The preservation of the essential fulfilment of human interests means to build and maintain them, to protect them if they are threatened, to defend them if they are attacked, and to rebuild them if they are damaged.

 

The preservation of the smooth fulfilment of human interests is achieved by securing moderation and balance and by removing hardship.

 

The preservation of human interests is realized at the level of excellence by aesthetic fulfilment, such as by the promotion of good manners, nice clothing and landscaping.

 

The cross product of the above two aspect sets with precedence is called the social precedence set D.  We enumerate D in simple expression notation

 

D = {d(i) | i = 1 to 9} =

  

essential fulfilment of mind interests

essential fulfilment of body interests

essential fulfilment of business interests

smooth fulfilment of mind interests         

smooth fulfilment of body interests

smooth fulfilment of business interests

aesthetic fulfilment of mind interests

aesthetic fulfilment of body interests

aesthetic fulfilment of business interests

 

and d(j) has precedence over d(k) if j < k

 

All laws and social principles are based on D.  Liberty has precedence over everything because it is at the core of the essential fulfilment of the interests of minds, d(1). Clashes of interests and trade-offs are resolved or mediated using D.  Appropriate responses to threats or attacks are constructed and assessed using D. Spending priorities are determined by D.

 

Readware uses cognitive frame types that may contain the user "lawmaker" or other users such as constructive or destructive persons.

 

An interest frame is a cognitive frame that contains function frames depicting human interests.

 

A fulfilment frame is a cognitive frame containing function frames that depict the level of fulfilment of a human interest.

 

A clash frame is a cognitive frame containing function frames that depict a clash of human interests or a clash of levels of fulfilment.

 

Here are rules developed by Adi (based on known legal and social principles) that deal with social clashes of interests.

 

Justified defensive action.   You may repel an attack on someone’s interest even if the attacking interest has higher legal precedence than the victimized interest

 

1) by advice, appeal or admonition (remedy using the aesthetic level of fulfilment),

and if this fails, and the victimized level of fulfilment is smooth or essential, then

2) by pressure (remedy using the smooth level of fulfilment),

and if this fails, and the victimized level of fulfilment is essential, then

3) by force (remedy using essential level of fulfilment).

 

otherwise, the defensive action is unjustified and constitutes a crime as violent as the level of fulfilment it is at.

 

For example, you may not take away someone's dessert because you are hungry and you need it more.  You cannot shoot a thief who is not threatening lives.  You cannot have a life-threatening duel because of an insult (an aesthetic violation).  If you are arresting a murder suspect, you cannot start by shooting at the suspect (forget "wanted dead or alive").  First, appeal to him to surrender for trial, then block his way if he tries to escape, and you can only shoot at him if he aims his gun at you.  Otherwise, it is murder.

 

If two human interests happen to compete by no fault of either side, then we may need to repress the one that has the lesser legal precedence in order to preserve the one with higher legal precedence, unless the two sides can work out a compromise.  If the two competing interests have equal priority, then the stand-off must be resolved by pressure to compromise or by sharing.

 

When two interests of different priority happen to compete and there is no compromise, no good law would allow us to repress or destroy the higher interest in order to preserve the lower interest.  Sometimes the competition is illusory (false choice), but we can still decide which interest deserves to be preserved.  Here are some illegal resolutions (false choices are in italics):

 

to sacrifice minds or lives to preserve a competing business interest

to use lethal force to preserve a family or a community

to twist minds to preserve lives, the family or hold a country together

 

Justified intervention to resolve disputes.  If a human interest causes unintentional jeopardy or damage to an interest with higher precedence in a given situation, and no compromise can be reached, then the interest with lower precedence may be stopped by intervention

 

1) by advice, appeal or admonition (remedy using aesthetic level of fulfilment),

and if this fails, and the victimized level of fulfilment is smooth or essential, then

2) by pressure (remedy using smooth level of fulfilment),

and if this fails, and the victimized level of fulfilment is essential, then

3) by force (remedy using essential level of fulfilment).

 

otherwise, the intervention is unjustified and constitutes a crime as violent as the level of fulfilment.