gG Model

or

MI-g Synthesis

© Laurent Dubois 2003

 

An attempt of remodelling of the different theories of intelligence and of enlarging the definition of intelligence.

 

 

Preliminary. 1

In counterpoint, here is the Howard Gardner’s definition of intelligence. 2

MI vs. g?. 2

Synthesis board.. 2

The great absent in the traditional testing and even in power tests: 6

Creativity. 6

Logico-divergence. 6

MI empirical basis. 6

Enlarged definition of intelligence. 6

Concrete application. 7

Intelligence criteria. 8

Against the grain: the root of intelligence. 8

ANNEX.. 8

Factorial analysis. 9

Lose ideas. 10

 

 

 

 

 

 

Preliminary

 

As it is virtually certain that even the most adamant opponents of Spearman’s theory will agree to admit that his definition of intelligence constitutes an excellent starting point, were it precisely to be invalidated “ab absurdo”, in the attempt to tame this fleeting matter, let us give it the honor of the first lines of this essay:

 

 

g is the ability to see relationships between things and to manipulate those relationships to solve problems”.

http://comp.uark.edu/~todegar/PSYC2003/intelligence.html

 

 

As this and in the state of affairs, it is, at worst, a purely abstract representation, at best, a rather good approximation of the reality

- supposing that one knows what “intelligence” is!!! - as long as one focuses on the implicit notion of “performance” implied by this definition. One fails in satisfying our confused and intuitive perception of the richness and the complexity of the notion of intelligence.

 

If pertinent, the displaying of g is one of the strongest expressions of… g.

This remark itself then stays at a higher level of abstraction yet:

meta-process, & so on ad infinitum!

 

Let us reason against the grain: let us suppose that g is not pertinent!

Then, the disqualification of g is the fact/power of a specific factor!

 

Does it make sense that the questioning

About intelligence was a product

of extra-intelligence?

 

Now, the picture of the displaying of g is not complete. What makes the reputation of Spearman is his displaying of g as product of a factorial analysis. His definition is the translation of the result of a statistical operation, some people reproaching for having simply elaborated a statistical artifact.

But Spearman himself is not satisfied with this statistical entity. He goes further and assimilates g to the expression of the “genetics”.

Consequently, g is both root and fruit, and its janusian nature is synthesized in the expression “general factor of intelligence”.

 

As product, g is the emergence of a process of maturation.

Let us note that it is not the product of one particular entity/diagram

but of the correlations between the scores of multiple entities.

As general,  genetic factor, g must rest above, at the origin of this process.

Hence  its schizophrenic nature.

 

 

In counterpoint, here is the Howard Gardner’s definition of intelligence

 

 

"That ability to solve problems, or create products, that are valued within one or more cultural settings".

 

 

 

Are the Spearman and Gardner definitions really contradictory? Is the Gardner definition not simply an extension of that of Spearman?

Its merit is to underline the “relative” character of the label “intelligent” of the products of the mind.

It depends on the referential in which these products emerge.

 

An extension of the types (math-verbal-spatial) where g can express! The price to pay is the assimilation of g, pure abstract product of a factorial analysis with Spearman, and in such seemingly without limit, or assimilated to a statistical artifact in the head of its detractors, to a “potential energy” that diffuses differently through the different types, the variation of quantity devoted to each type explaining possible low correlations between some types of intelligence, even if the basic logical principles regaling each type must be the same.

In fact, the really fluid g is immeasurable through IQ tests, a residual fluidity only.

different

 

The most general distinction would be:

functional and conceptual intelligence

 

 

MI vs. g?

 

The key point in the apparent antagonism between MI and g is the notion of “performance”, the heart of the works of the psychometricians since Galton, Binet and Spearman to Jensen and Sternberg. It allows empirical measures and easy comparisons between testees. However it leads to make the field of intelligence too restrictive.  The real contribution of Gardner, and Sternberg in some extend, is to emphasize this problem as well as to allow extension of this field by including characteristics that we all intuitively feel belonging to the essence of intelligence; e.g. “creativity”, which we all know somewhat confusedly that it is directly linked to intelligence and which the strongest weakness compared to “performance” is its unruly and free nature (wild intelligence), aleatory efficiency.

 

Gardner typology is nothing more than

an extension of Thurstone primary mental abilities.

 

 

 

Synthesis board

[the emphasis is put on g as product]

 

A new framework is needed. Here below is an attempt of remodelling of the different conceptions of intelligence and of including the enlarged definition of intelligence.

The deep analysis of the matrix will be made in two steps:

-          the attempt of elaborating

-          the emphasis on the dynamical side through a diagram

 

 

 

Spearman

g

 

 

 

 

 

global mental potential “energy”

 

 

Spearman

Carroll*

Factorial analysis

Product of group factors statistical relations to be confirmed

 

 

 

 

Hardware

+

Rom

(set of instructions)

 

Pure Fluidity

genotype

 

Galton

Jensen

Raw g: 

neural/neuronal speed processing factor (speed)  & neural system complexity factor  (level)

+ sensory- *short- (cash) *mid- (ram) *long- (hard) term memory

 

1st-order

Filter

 

Interface

1st Crystallization

Phenotype(?)

 

Metabolism (Breath-sugar consumption-protein-vitamins-greases…)

+

Sense (central nervous system)

 

2d-order

Filter

 

 

Software

(from other “g-loaded” entities)

 

2d Crystallization

 

(environment

[non-g + g loaded entities]

+

personality)

Gardner

9 MI

gs

Physico-math

gs

Linguistic

gs

Spatial

gs

Musical

gs

Bodily-kinaesthetic

gs

Interpersonal

gs

Intrapersonal

gs

Naturalist

gs

Existentialist

Guilford

5 contents

 

Symbolic

 

 

Semantic

(Verbal)

 

Visual

gv

 

Auditory

gu

(Rhythmic)

 

Behavioural

(Spatio-dynamical)

 

Behavioural

 

Behavioural

 

Behavioural

(olfactive-gustative-touch)

 

Behavioural

 

 

 

 

 

 

 

 

 

Common feature: “infos”,

but specific “codes”/data

 

 

Power

-          Memory 

·          Sensory

·          short (cash)

·          mid (ram)

          long (hard)

-          Persistence

-          Motivation

 

componential

 

-          Evaluation

-          Cognition

·          analytical

·          synthetical

·          hypothetico-deductive

·          inductive

·          algorithmic

[try and error]

·          dynamic

·          combinatoric

·          systematic

·          heuristic

·          conjecturo-

speculative

 

 

Contextual

-          Convergent production

·          Practical

·          Experimental

 

Experiential

-          Divergent production

(wild g)

·          pure divergence

·          producivity

·          ingenuity

·          originality

 

-          Logico-divergence

(highest quality of g)

·          autoreference

·          recursivity

·          infinity

 

 

 

 

 

-          Evanescent g

·          Artistic

·          Aesthetic

·          Emotional

 

 

 

 

 

componential

 

-          Evaluation

-          Cognition

·          analytical

·          synthetical

·          hypothetico-deductive

·          inductive

·          algorithmic

·          dynamic

·          combinatoric

·          systematic

·          heuristic

conjecturo-

speculative

 

 

Contextual

-          Convergent production

·          Practical

·          Experimental

 

Experiential

-          Divergent production

(wild g)

·          pure divergence

·          producivity

·          ingenuity

·          originality

 

-          logico-divergence

(highest quality of g)

·          autoreference

·          recursivity

·          infinity

 

 

Power

-          Memory 

·          Sensory

·          short (cash)

·          mid (ram)

          long (hard)

-          persistence

-          motivation

 

 

-          Evanescent g

·          Artistic

·          Aesthetic

·          Emotional

 

 

 

 

 

 

 

componential

 

-          Evaluation

-          Cognition

·          analytical

·          synthetical

·          hypothetico-deductive

·          inductive

·          algorithmic

·          dynamic

·          combinatoric

·          systematic

·          heuristic

conjecturo-

speculative

 

 

Contextual

-          Convergent production

·          Practical

·          Experimental

 

Experiential

-          Divergent production

(wild g)

·          pure divergence

·          producivity

·          ingenuity

·          originality

 

-          logico-divergence

(highest quality of g)

·          autoreference

·          recursivity

·          infinity

 

 

Power

-          Memory 

·          Sensory

·          short (cash)

·          mid (ram)

          long (hard)

-          persistence

-          motivation

 

 

-          Evanescent g

·          Artistic

·          Aesthetic

·          Emotional

 

 

 

 

 

 

 

 

 

 

componential

 

-          Evaluation

-          Cognition

·          analytical

·          synthetical

·          hypothetico-deductive

·          inductive

·          algorithmic

·          dynamic

·          combinatoric

·          systematic

·          heuristic

conjecturo-

speculative

 

 

Contextual

-          Convergent production

·          Practical

·          Experimental

 

Experiential

-          Divergent production

(wild g)

·          pure divergence

·          producivity

·          ingenuity

·          originality

 

-          logico-divergence

(highest quality of g)

·          autoreference

·          recursivity

·          infinity

 

 

Power

-          Memory 

·          Sensory

·          short (cash)

·          mid (ram)

          long (hard)

-          persistence

-          motivation

 

 

-          Evanescent g

·          Artistic

·          Aesthetic

·          Emotional

 

 

 

 

 

 

 

 

componential

 

-          Evaluation

-          Cognition

·          analytical

·          synthetical

·          hypothetico-deductive

·          inductive

·          algorithmic

·          dynamic

·          combinatoric

·          systematic

·          heuristic

conjecturo-

speculative

 

 

Contextual

-          Convergent production

·          Practical

·          Experimental

 

Experiential

-          Divergent production

(wild g)

·          pure divergence

·          producivity

·          ingenuity

·          originality

 

-          logico-divergence

(highest quality of g)

·          autoreference

·          recursivity

·          infinity

 

 

Power

-          Memory 

·          Sensory

·          short (cash)

·          mid (ram)

          long (hard)

-          persistence

-          motivation

 

 

-          Evanescent g

·          Artistic

·          Aesthetic

·          Emotional

 

 

mental representation

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

componential

 

-          Evaluation

-          Cognition

·          analytical

·          synthetical

·          hypothetico-deductive

·          inductive

·          algorithmic

·          dynamic

·          combinatoric

·          systematic

·          heuristic

conjecturo-

speculative

 

 

Contextual

-          Convergent production

·          Practical

·          Experimental

 

Experiential

-          Divergent production

(wild g)

·          pure divergence

·          producivity

·          ingenuity

·          originality

 

-          logico-divergence

(highest quality of g)

·          autoreference

·          recursivity

·          infinity

 

 

Power

-          Memory 

·          Sensory

·          short (cash)

·          mid (ram)

          long (hard)

-          persistence

-          motivation

 

 

-          Evanescent g

·          Artistic

·          Aesthetic

·          Emotional

 

 

empathy

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

componential

 

-          Evaluation

-          Cognition

·          analytical

·          synthetical

·          hypothetico-deductive

·          inductive

·          algorithmic

·          dynamic

·          combinatoric

·          systematic

·          heuristic

conjecturo-

speculative

 

 

Contextual

-          Convergent production

·          Practical

·          Experimental

 

Experiential

-          Divergent production

(wild g)

·          pure divergence

·          producivity

·          ingenuity

·          originality

 

-          logico-divergence

(highest quality of g)

·          autoreference

·          recursivity

·          infinity

 

 

Power

-          Memory 

·          Sensory

·          short (cash)

·          mid (ram)

          long (hard)

-          persistence

-          motivation

 

 

-          Evanescent g

·          Artistic

·          Aesthetic

·          Emotional

 

 

 

 

 

componential

 

-          Evaluation

-          Cognition

·          analytical

·          synthetical

·          hypothetico-deductive

·          inductive

·          algorithmic

·          dynamic

·          combinatoric

·          systematic

·          heuristic

conjecturo-

speculative

 

 

Contextual

-          Convergent production

·          Practical

·          Experimental

 

Experiential

-          Divergent production

(wild g)

·          pure divergence

·          producivity

·          ingenuity

·          originality

 

-          logico-divergence

(highest quality of g)

·          autoreference

·          recursivity

·          infinity

 

 

Power

-          Memory 

·          Sensory

·          short (cash)

·          mid (ram)

          long (hard)

-          persistence

-          motivation

 

 

-          Evanescent g

·          Artistic

·          Aesthetic

·          Emotional

 

 

 

 

componential

 

-          Evaluation

-          Cognition

·          analytical

·          synthetical

·          hypothetico-deductive

·          inductive

·          algorithmic

·          dynamic

·          combinatoric

·          systematic

·          heuristic

conjecturo-

speculative

 

 

Contextual

-          Convergent production

·          Practical

·          Experimental

 

Experiential

-          Divergent production

(wild g)

·          pure divergence

·          producivity

·          ingenuity

·          originality

 

-          logico-divergence

(highest quality of g)

·          autoreference

·          recursivity

·          infinity

 

 

Power

-          Memory 

·          Sensory

·          short (cash)

·          mid (ram)

          long (hard)

-          persistence

-          motivation

 

 

-          Evanescent g

·          Artistic

·          Aesthetic

·          Emotional

 

 

 

Guilford 5 operations

As sub-specifications of the 3 components of the Sternberg triarchic theory

 

+

 

Thurstone’s 7 primary mental abilities as sub-specifications

 

Analytical

-           spatial ability

-           (gsf + gsc)

-           

-perceptual speed

-numerical ability

-verbal meaning

-memory

*short (casch)

*mid (ram)

*long (hard)

-word fluency

-reasoning

 

+

 

Jensen (meta) - Binet-Simon –Weschler (+ Vernon)

 

 

     Verbal Subtests               Performance Subtests

                     gν                                     gf

 

-           Vocabulary             - Picture Completion  

-           Similarities             - Digit‑Symbol/Coding

-           Arithmetic             - Block Design          

-           Digit Span              - Matrix Reasoning

-           Information           - Picture Arrangement

-           Comprehension      - Symbol Search

-           Letter‑Number       - Object Assembly       

          Sequencing          

 

+

Guilford 6 products

 

-          unit

-          classes

-          relations

-          systems

-          transformations

-          implications

 

Carroll 8 groups factors:

 

-          Gf fluid intelligence

-          Gc crystallized intelligence

-          Gy general memory

-          Gv general visual perception

-          Gu general auditive perception

-          Gr general recuperation

-          Gs general cognitive speed

-          Gt general speed processing

 

 

Sternberg Triarchy

 

-          Componential: abstract

-          Contextual: practical

-          Experiential: creative

 

 

 

In italics, my concepts.

The computing science metaphor is for clarity.

 

This matrice is itself an expression of the product.

But it is not all. The recursive/reflexive feedback on this remark itself,

and so on ad infinitum…

 

 

 

 

Some observations

 

generator-computing

 

This matrix intends to show the levels of fitting of the different elements implied in the “development” of intelligence.

The main idea consists in assimilating g to a mental energ or “generator”. Indeed, as to avoid a purely “disincarnate” factor, g must be “materialized” in some way, kind of “sum”, in mathematical terms or “balance sheet/statement of account”(???) in thermodynamical terms. As we have seen in the preliminary, the literature leads to justify two interpretations of g:  g as genetic factor and g as result of a process highlighted by the statistics which assimilate it to the product of a factor analysis.

And if, in the state of affairs, we must be satisfied with rather rough measuring tools, the supposing of the quasi-perfect adequacy between g as generator and g as product of the factor analysis constitutes precisely an epistemological abuse!

 

It is clear that the attempts of minimize the importance of the genetic factor is vain as the importance of the combined effects of the phenotype and the sensory machinery on the one hand, and the environment and the personality on the other hand, is obviously directly dependent upon the efficiency of the central nervous system.

Really, in a sense, all is on the dependence of g! The functioning of the filters is conditioned by g. (cfr. Plasticity and memory of brain zones; cognitive tasks need important sugar consumption but anaerobic, thought needs O consumption)

Now, a complementary reading is necessary and it is as true that the generator needs supports to express itself, g is not disincarnated; the supports? The  “filters”!

g is not immutable.

 

And after all, the psychometric tools: IQ tests, intelligence scales, assessment questionnaires are limited to the end of the process(ing)!

From there are inferred inter-/intra-polations. It is rather methodologically weak.

 

It is more than probable that intelligence must be considered as output, fruit of a more or less maturation, but it must take more various forms and be not immutable, contrary to what the strict advocates of genetics think.

 

Raw g at the origin, evolutionary g the most part of the time, G, for Genius, in conclusion, in the best cases.

 

So, one observes that Spearman & Gardner’s perspectives, far from being antagonist, are perfectly complementary. “Pure g” advocates fail to take into account the very early effects of the “personality-environment” filter; the MI advocates fail in finding an underlying common feature in each type of intelligence, i.e. the common logic under the elaboration of any “specific” code-info.

g as energy, fundamental potential, as Stump/stub/stock cell that diversifies & develops with specific degrees of complexity in each type. This conception/representation allows an energy/power expenditure. (thermodynamics/information-complexity theory). The degree of quality in which g is expressed can be determined in a first time according to the Kolmogorov definition of “complexity”.

However,

Intelligence cannot be simply assimilated to g. Intelligence is the way g is expressed. In other words, one can be more intelligent with less g!

Different levels of g can lead to an equivalent G.

Same g can lead to different G.

Lower g can lead to higher G.

 

As product, G is the emergence of a process of maturation.

Let us note that with Spearman, it is not the product of one particular entity/diagram but of the correlations between the scores of multiple entities. Thus, g is a product.

But as general,  genetic factor, g must rest above, at the origin of this process. This schizophrenic nature must explain the incompleteness of the orthodox model.

 

Raw g

=

Raw intelligence

pure intelligence (G)

 

IQ tests

Convergent intelligence

+

1st order

divergence &

logico-divergence

 

 

Chaotic-aleatory-emergent-turbulent

 

2d order divergence & logico-divergence

Genius (complex-subtle alchemy)

 

Maturation of g to G. Intelligence would be the degree/level of quality/maturation of  g in one or more types.

Entropy for g. Emergence for intelligence.

 

 

Schizophrenic

 

 

Also, it seems to lead to a more logical hierarchisation than that developed from a “unitary” g. Indeed, if we consider the Carroll’s model:

 

g

8 group factors

numerous primary mental aptitudes

 

where g is the product of the factorial analysis, i.e. the result of a process, and the primary mental aptitudes at the origin of the process and as such far from g,

our conception of g as raw energy (ener-g) would give the following schema:

 

g

numerous primary mental aptitudes

8 group factors

[9 types of intelligence]

 

As “primary”, the mental aptitudes must rest close to the most primary factor, the “genetic” factor.

 

[it seems that the 8 group factors of Carroll cannot be really put on the same level.

g

General memory, general processing speed

General auditory and visual perceptions

General cognitive speed Fluid intelligence Crystallized intelligence General recovery/recuperation]

 

Directly after the group factors, the 9 types of intelligence of Gardner as 2d filter, as it is clear that some kind of specialization appears at a very early age.

 

Small but important modification in the typology of Gardner:

“Physico-mathematical” rather than “Logico-mathematical”

as first type of intelligence  as each type of intelligence

contains its own support for logic

& because the specificity of the “physics” reasoning

seems to be the great absent in the classical IQ tests.

 

Paired with the Gardner’s types, we have the Guilford’s contents. This association highlights the artificial character of some of  the Gardner’s types like the naturalist, the existentialist intelligences that can certainly be included in the inter-/intra-personal types.

After that, we find the more specific factors that will allow considering the elaboration of concrete ways of testing.

 

Guilford: content-operation-product (Turing machine)

 

 

In each type of intelligence, the qualitative filters highlight the degree of complexity & the subtlety in which g has been developed. It allows the establishing of a ratio raw/pure g.

Now, how could really be tested the creativity, the aesthetic intelligences?

The only real measure of fluidity either physiologically either in very young baby, in the constitution of the 2d (personality-environmental) filter (but is it stable?)

 

It would be extremely naïve to ignore the filters. If they make sense, one could find physiological- environmental constants/similarities (cfr. Study of genius)

 

Some factors checked in everybody?

 

Residual fluidity

 

g potential energy: plasticity, speediness, effectiveness, quality

 

The best evaluation of g would take into account all the factors (a bit laborious).

But if this synthesis makes sense, an excellent approximation could be given by the checking/evaluation of the abilities of the testee in his specific intelligence/content or in two of them maximum.

Fluidity can be tested better in the non-familiar types. The effects of the first filter do not prevent the persistence of some fluidity.

 

 

If strong discrepancies between the 2-3 specialized types & the others are confirmed, the checking of the fluidity through non familiars types will not be indicative of real/full g but of residual g.

 

Why 2-3 types maximum? Because history shows that genius do not really succeed in more than 2-3 matters. And often, real performances in not more than 2/3 sections of a privileged field (e.g. math, music…)

 

“Existentialist” type is the one where complexity plays a much more important role than speed

 

The 2d filter reinforces or inhibits the best traits of the interface

 

The taking into account of Power (memory + persistence) & motivation leads to make the distinction between IQ level potential & IQ level realization.

 

Because of the specific code implied in each type of intelligence, I think we cannot speak of “pure fluidity” about them in the sense of Carroll, but rather of “specific fluidity”, all the more that language used can be so bald in the linguistic-semantic-Verbal type that it would not require less fluidity than in physico-mathematical one.

 

 

Further and deeper developments in the chapter devoted to the “diagram”.

 

allows

reservoir

 

 

 

Output

 

The second part of the matrix contains a synthesis of the main models of intelligence.

We propose two great categories: “concrete” (contextual/functional) and “abstract” (componential/conceptual) intelligences. We can assign degrees to each of them: the degree and the quality of the acquisition and of the restitution (combinatorics à demonstration, with Guilford six products as guiding categories), and we can include for each of them the three great components: convergence, divergence and logico-divergence.

Of course, these categories apply to each of the nine types of intelligence.

 

What about fluidity/crystallization dichotomy? As a degree of fluidity can be assigned to any acquisition and restitution of data, we suggest to extend the conceptual field of the notion of “fluidity” to the constitutive process of acquisition and restitution of data in any mental activity according to a qualitative scale.

 

Sternberg and Guilford for the great categories

Carroll and Weschler for the details

 

Thurstone-7 “primary mental abilities” (PMA) or Carroll-8 “moderate specializations of ability”

Weschler

 

 

The great absent in the traditional testing and even in power tests:

-         architectural/global ability

-         dynamical/algorithmic ability

-         equational (physics) ability

 

also, nothing proves that people good at these

 

Patent lack of density in traditional IQ tests, more present in power tests

The degree and the quality of the acquisition and of the restitution

 

Stress must be put on the levels of difficulty of the items if we intend to distinguish real qualitative differences between thought processing.

Answers have to be weighted! Let us subscribe to the adage: “who can the most can potentially the less, the contrary is not true”.

 

Also, by preoccupation for pragmatism, it is important to admit that the IQ value has to be ascribed to a “performance”, a product, and not to the person. “Here and now” character of the note, because, among others, of the motivation, persistence and other bias. From this data, it is supposed that the testee can at least similar performances at other well correlated tasks.

 

because of the lack of familiarity of some people with particularities of even a priori culture-fair items (e.g. dominoes), the untimed nature is a less evil.

 

 

In life, there are often several solutions for a same problem.

 

 

auditory

contextual/functional/operatory/application

componential/conceptual/comprehension

interpretation

composition

analytical

Synthetical

analytical

synthetical

 

 

 

 

Experiential

operatory/application      conceptual/comprehension

                                exploration

pointillism                                    abstraction, perspective

 

 

Music

intrapersonal

Painting

Interpersonal

 

Conceptual abstraction (qualitative)

Operative abstraction (formalism)

Similarities between CHC and Gardner sub-categories

Broadest Carroll’s taxonomy: level and speed factors; but speed is secondary and implicit.

Performance effectiveness fluidity

Depth persistence (emotions [what we call EQ is already more complex than emotions] will)

 

Creativity

 

If we agree on the definition of a “genius work” as the particularly successfully done fruit of the particularly harmonious marriage/combination/convergence of divergent and convergent thoughts, “creativity” cannot be simply distinguished from intelligence. Creativity is one of the ways for intelligence for expressing itelf.

Genius as purest expression of intelligence. It doesn’t seem logical to explain Genius by the combination of intelligence with something of lesser quality.

Or would Genius be the art of using creativity?

Essentially combinatoric

 

Logico-divergence

 

When and where logic reaches its limits: auto reference, infinity: recursivity

 

 

 

 

Enlarged definition of intelligence

 

Below is an attempt of extension of the definition of intelligence going beyond the notion of “pure performance” in order to include factors such as artistic-aesthetic, sensitivity, creativity, empathy, consciousness, wisdom… The idea is the following: since it is currently impossible to elaborate a precise enough definition (both simplest and most general), the most reasonable and rigorous attitude consists in including a maximum of the probable components rather than in making the bet that intelligence can be reduced to very narrow abilites.

 

-          Ability to selectively register information? (Ability to just register info? Not so, since inanimate matter can do it as well)

-          Ability to use information (registered in sensory, short [cache], mid [ram], or long [hard] term memory)

-          Ability to search information in order to:

    . solve an existing problem (no new info)

-          Ability to produce information in order to:

    . solve an existing problem (new info)

    . formulate a new problem & solve it (two new information)

-          Faculty of wondering what the ability to selectively register, to search, to use and to create information is

-          Faculty of wondering what intelligence is

-          Faculty of being conscious of this questioning

-          Faculty of infinite auto-reflexive questioning (infinitely recursive meta-process)

 

Ability to see, memorize, use, create connections between basic homogeneous and/or heterogeneous set of codes in order to create and/or solve problems or without any precise [conscious] intention.

 

Information = combinations of elementary elements,

which are of course themselves already “info”!

(Information theory; Basket/dance; genetics…)

 

 

divergence (creativity) and convergence have something in common

 

Learning solving

learning to solve

 

 

Concrete application

 

Assessment and testing

 

Here the synthesis board completed with the assessment suggestions

 

Of course, all this has to be refined.

 

This made:

First step consists in designing the items

Second step: normalisation

Third step: psychometric study-factorial analysis

 

Since we reason in terms of potential, the score to a test constitute a minimum & one can keep the best score

A greater rigor would consist in talking about a “performance” on a precise test at such or such moment & place.

 

gs

Physico-math

gs

Linguistic

gs

Spatial

gs

Musical

gs

Bodily-kinaesthetic

gs

Interpersonal

gs

Intrapersonal

gs

Naturalist

gs

Existentialist

 

Symbolic

 

 

Semantic

(Verbal)

 

Visual

Gv

 

Auditory

Gu

(Rhythmic)

 

Behavioural

(Spatio-dynamical)

 

Behavioural

 

Behavioural

 

Behavioural

(olfactive-gustative-touch)

 

Behavioural

The second intellect that Armstrong mentions is Logical and Mathematical Intelligence. This is defined as the ability to reason well and effectively via the use of numbers. One using this intellect to its fullest potential must have sensitivity to logical patterns and relationships, statements and proportions, functions, and other abstract mathematical concepts. This intelligence is used in categorization, classification, calculation, inference, generalization, and hypothesis testing ( Armstrong 2).

1. Frequently argues ideas

      2. Grasps abstract concepts with ease

*IS ABLE TO EFFECTIVELY QUANTIFY THINGS: "I

      LIKED THE BOOK, I'D RATE IT AN 8.7" or "WE PROBABLY WALKED 5.6 KILOMETERS

      TODAY"

      *NOTICES SLIGHT CHANGES/DYNAMICS

      *STATES THINGS IN A CLEAR AND ACCURATE

      MANNER

      *HAS THE ABILITY TO BREAK DOWN COMPLEX CONCEPTS

      INTO MORE BASIC COMPONENT CONCEPTS

      *CAN EXPLAIN THINGS THAT HAVE NOT BEEN FORMALLY

      TAUGHT TO HIM/HER

      *TENDS TO QUALIFY THINGS "THIS HAPPENS IN THIS

      CASE, BUT NOT IN THE CASE OF THIS..."

The first intelligence he mentions is Linguistic Intelligence. This is defined as the ability to use words effectively, both orally and through the written word. Linguistic Intelligence incorporates rhetoric (convincing others to take a specific course of action), mnemonics (using language to remember information), explanation (informing others using language), and metalanguage ("using language to talk about itself").

 

 

1. Enjoys listening to stories

      2. Enjoys telling stories

      3. Writes creative stories

*THIS MIGHT BE TOO SUBJECTIVE--- A TEACHER

      MIGHT NOT UNDERSTAND THE DEEP CREATIVITY INHERENT IN A STUDENT'S

      WORK

      4. Reads books of varied interests

      5. Tells jokes with puns, riddles, or

      6. Has a strong thirst for knowledge

      7. Enjoys playing with words and language

      8. Likes to talk

communicates effectively

attempts alternative or new methods

*UNDERSTANDS AND EFFECTIVELY USES PROPER

      SYNTAX, WORD CHOICE, GRAMMAR,

The thirdly explained intelligence is Spatial Intelligence. This is defined as
the ability to perceive the visual-spatial world accurately (e.g. as a hunter, scout, or guide), and to perform transformations upon those perceptions (e.g. as an interior decorator, architect, artist, or inventor) (
Armstrong 3). Included within this discipline of intellect is a sensitivity to form, space, shape, color, line, and "the relationships that exist between these elements" (3). Also included is the ability to visualize, and then graphically represent that visualization.

 

 

1. Enjoys looking at maps

      2. Creates detailed drawings

      *THIS MAY BE ANOTHER AREA IN

      WHICH BOTH EXTREMES COULD BE CORRECT. CREATING A DETAILED DRAWING IN

      TERMS OF "PRECISION" IS CERTAINLY IMPRESSIVE, BUT VAN GOGH THOUGHT THAT

      HIS PAINTINGS WERE EXTREMELY ACCURATE BECAUSE THEY CAPTURED THE "ESSENCE",

      THE "MOOD" OF A PLACE. YET HIS PAINTINGS ARE CERTAINLY NOT

      "MEASURED" OR "ACCURATE".

      3. Has a good sense of direction

      4. Appears clumsy

      5. Thinks outside of conventionally accepted ways

6. stylism

7. Strips drawing/caricatures

 

( this is difficult, as you stated Van Gogh did perceive his paintings as being correct)

 

Actually I think that each type of artistic expression calls for different mental types of mental “focus” areas. If he is making Extreme realism you need highly analytical skills and a strong perception of reality, Extrovert perception. If the artist are making an abstract painting he will still need the same, but on different targets (not reality but maybe feelings derived from the composition and colours, introvert perception)

 

Another aspect of art is the ability to have continuity in the production, an artist has to perform on a continuous basis both in terms of style and quality.  One painting will not make an artist.

 

Musical Intelligence is the next idea that Armstrong discusses. He defines it as "the capacity to perceive, discriminate, transform, and express musical forms" ( Armstrong 3). Inclusive is the sensitivity to pitch, rhythm, tone color, etc.

 

1. Plays a musical instrument

      2. Has diverse musical interests

      3. Works with music playing in the background

      4. Enjoys dancing to music

      5. Is part of a musical group

      6. Sings along with songs out loud

      7. Can’t live without a daily dose of music

 

( can interpret music into other “out-puts”, words, painting etc.)

 The next intelligence described is Bodily-Kinesthetic Intelligence. This is defined as "expertise in using one's whole body to express ideas and feelings (e.g. actor, mime, athlete, dancer)" ( Armstrong 3) and having the ability to use one's hands to transform and produce things. (e.g. sculptor, surgeon, craftsperson, mechanic, etc.)     

1. Uses exaggerated hand or facial gestures when speaking

      2. Bored easily with didactic instruction

      3. Enjoys acting or taking on the role of others

4. Sports

5. Dance

6. Gym 

   

 

 

 

 

 

 

. “Bored easily with didactic instruction”

 

This goes for an artist and a muscisan as well

 

 

« fine motoric abilities »

 

« Rythm »

 

 

 

 

 

 

The final intelligence that Gardner has defined is Interpersonal Intelligence. This is defined as the ability to act accordingly and adaptively on the basis of self-knowledge. Inclusive in this intelligence is having awareness of inner moods, possessing an "accurate picture of one's self" (by examining strengths and weaknesses of the self), by acknowledging and understanding various intentions, temperaments, desires, and motivations. Another facet of Interpersonal Intellect is having "the capacity for self-discipline, self-understanding, and self-esteem" ( Armstrong 3-4).

 

      1. Autonomous

      2. Works without approval

      3. Pursues strong areas of interest

      4. Stands up for

convictions      *AGAIN, A LOW SCORE HERE COULD INDICATE

      GIFTEDNESS ELSEWHERE. A PERSON MAY NOT STAND UP FOR HIS/HER CONVICTIONS

      BECAUSE HE/SHE DOES NOT THINK THAT ANYONE ELSE WILL UNDERSTAND THOSE

      CONVICTIONS TO BEGIN WITH, WHICH MAY POINT TO VERY COMPLEX THOUGHT AND

      HIGH INTRAPERSONAL ABILITIES.

 

      5. Appears to have well-developed morals

      6. Requires little direction from teachers

7. Dreamer

  8. Considered rebellious towards adults

      9. Stubborn in beliefs

      10. Attempts to distinguish him or herself

      11. Is not liked by peers

      12. Prefers to spend time alone

      13. Has difficulty getting along with others

 

 

 

It seem that some aspects are interrelated, like “dreamer” you will find in other areas, like Visual perception and musical.

 

 

 

 

      The sixth intelligence discussed is aptly named by Gardner as Interpersonal Intelligence. This is defined as "the ability to perceive and make distinctions in the moods, motivations, and feelings of other people" ( Armstrong 3). One can execute their Interpersonal Intelligence by being sensitive to gestures, facial expressions, and voice; and by having the ability to "respond effectively to those cues in some pragmatic way (e.g. to influence a group of people to follow a certain line of action)" ( Armstrong 3).

 

1. Takes risks

      2. Tends to rely on others

      3. Is sensitive to other’s feelings

      4. Takes responsibility for actions

      5. Exhibits leadership within a group of peers

      6. Admired by peers

     *AGAIN, LIKE SO MANY ADVANCED MINDS, SHE/HE MAY

      SEE HIS PEERS AS "LESSER" AND THEREFORE MAY COME ACROSS AS EXTREMELY

      ARROGANT. HOWEVER, THE POLITICIAN, TO USE THIS EXAMPLE AGAIN, IS THE

      OPPOSITE, YET COULD ALSO BE VERY GIFTED.

      7. Makes new friends easily

  8. Empathy    

  9. Social consciousness

10. Militants

1. Prefers spending time outdoors

      2. Loves animals

      3. Sensitive to natural beauty

 

A sense for the paranormal.

 

Believes in ancient methods of prediction.

 

Romantic ?

      1. Attends religious services on a regular basis

      2. Lucidity

3. Wisdom 

 

 

 

 

 

Acrobat

Gymnast

Juggler

Illusionist

Repartees-jokes-humorist

Do-it yourself enthusiast

critical mind, detection of errors-mistakes-typos & ability to correct them (disassembly)

love of debates-contradictory mind

 

Intelligence criteria

 

 

-technics fluidity/ability (soccer/basket...)

-vista/opportunism/tactic

-will

-strategic/global vision

-creativity (divergence/logico-divergence)

-charism

 

To search infos & realize a personal essay/production on a favourite topic. Or another kind of performance.

 

But what do we really want?

Utility in a restrained acceptation?

 

Fantasy imitation commercial create/argue rules

Against the grain, recursive reasoning

 

 

 

Against the grain: the root of intelligence

[the emphasis is put on g as root]

 

We have considered the product of a process. We now go to the root of intelligence.

The great advantage of the diagram is the emphasis on the dynamical side of the process

Degrees in intelligence: adaptation,

Learning solving

learning to solve

 

 

 

 

ANNEX

 

Miscellaneous remarks

 

MI empirical basis

 

MI is not without any empirical support, even if pointed out by other people than Gardner.

-          Damasio, for example, showed that brain-damaged people checked a very selective reduction of some of their capacities.

-          "idiots-savants" remain unexplained cases

-          in the same spirit, the case of gifted people with heterogeneous aptitudes is challenging

-          Plasticity of the brain: modification of the motor and somato-sensorial cortical areas (tomography/imagery by functional magnetic resonance) in relation to shadow organs (memory of the initial arrangement of the cerebrals area supports the idea of a genetic pre-instruction)

-          consideration of intelligence in an evolutive rather than crystallized/static

-          g is not really invariable

·          IQ of divorced parents childs

·          IQ of maltreated babys

-          what are special talents if they are not legitimate components of intelligence? In what are they different from the primary mental abilities?

-           

 

Of course it's insufficient, but it's a starting point

 

The potential of the potential

 

-          Initially, emphasis in IQ tests was put on time pressure: first level potential.

-          But psychologists realized that the slow or moderately fast thinkers were penalized to such a point that some of them could solve more, & more difficult items than fast thinkers once the time pressure removed: untimely or reduced time pressure tests: reference: RAPM; 1 of the reasons of the existence of the online power tests & scales: extension of the notion of potential!

Is it the limit of the potential? NO!

-          Let's consider the case of people who don't score significantly better despite of the reduction of the time pressure or who don't even score the maximum: with some explanations, some of them will understand, others won’t; we obviously cannot put on the same level the two categories of testees! So, we have a new extension of the notion of potential!

-          At this stage, the following extension will lead us to the famous Socrates "reminiscence"!

-           

In other words, it is clear that intelligence cannot be reduced to the notion of IQ, unless this notion was seriously enlarged! only

What about a designer who could not solve all his items?

-          Could a perfect solver create such items?

 

 

 

 

Timed tests would allow to detect superficial abilities implying low level of maturation: sensory and working memory.

Power tests would allow to detect deep abilities implying high level of maturation: mid- and long-term memory.

And in addition to the fluid/crystallized dichotomy, it would highlight degrees of “fluidity”

 

When one solves partially culturally biased items, one have to use an information already registered in our mind and to detect the analogy imagined by the designer. The inability to solve the problem doesn’t mortgage the ability of someone to detect new analogies in matters de facto not taken into account by the designer of a test. A contrario, the ability to solve the problems conceived by a designer doesn’t imply necessarily the ability to “create”, to develop original analogies/connections. As for the “culture-fair” items, they seem to be too specific, too restrictive to

 

The 10% legend

 

 

Numerous reflections and observations lead us to infirm the strong belief in an under-tapping of our mental natural resources.

 

Instability of the items

 

present in a so recognized tool as the WAIS-scale & even the RAPM which contains an item with an alternative incomplete but pertinent answer, & if I remember correctly, the answers are not weighted; in other words, there is 1 & only 1 correct answer expected by item;

in the case of the WAIS, the weighting of some verbal items is problematic according to me, but of course, these test & scale remain excellent material, & before all extremely well-normed!

as for online power tests, fortunately mentalities change & more & more designers take into account non-expected but pertinent answers.

 

 

Finally, a word about the type/quality of the items;

as they are the more susceptible of being the less culturally biased, spatial items, to which one can add "dominoes-type" & some kind of number-series items, are particularly valued by our community, & psychologists; both official & non-official items of this type are of very high quality;

 

now, intelligence-scales like the WAIS or the St.-Binet show that the verbal questions are as much & sometimes more indicative of the "g", but this kind of items are more difficult to design to avoid cultural bias; & before all, the degree of difficulty is far from being very high, which is perfectly logical since these scales are not intended to measure highest IQ.

In my eyes, only very high quality conceptual items can significantly increase the power of predicting the highest level of abstraction; and they can be expressed in very simple terms, not more abstruse than those used in the instructions given to people who take the... most culture-free tests like RAPM & Cattell!

 

A non expected but pertinent answer will be taken into account in the raw score, and weighted according to its degree of quality. The designer, in some cases, cannot consider all the possible answers. A way of taking into account the creativity at a statistical level.

 

???

 

Snapshot: number of variables unknown

Because of the decreasing saturation in g, it would be more serious to talk of mega-power rather than a mega-IQ

 

Factorial analysis

 

Factorial analysis can quickly lead to chaotic/turbulent zones (3-bodies problem???)

If the general factor g can always be found from the correlation matrix of a battery of mental tests by using a large number of factor analytic methods as long as the number of tests is large and the number of items is diverse, it is well known too that the rotation of the factors in order to optimize their position & so maximize the variance of some tests and minimize that of others can lead, especially when orthogonality is not conserved, (oblique factors) to very different views on the structure of intelligence.

 

What is a significant correlation? Is the “mean” an arbitrary limit? Is 100 not fluctuating/varying?

V =  value of the deviation to the mean

V’ = threshold value

If V > V’, independence is rejected

 

Normality of the curve has to be questioned

 

-         Plasticity of the brain

-         Evolutionary rather than crystallized perspective: the necessity of optimal solutions

That would lead to question the normality of the curve. The irrepressible need of symmetry could finally not be satisfied.

 

Supporters of egalitarianism would be more inspired in questioning the normality of the curve rather than reducing the power of the genetic factor!

 

Methodological error in the arrangement of the different strata

 

With probabilities and statistics, the important point is the possibility of very improbable events!

 

Creativity: distinction between adequate/effective creativity & other, purely free creativity:

free relations, associations vs. attempt to see/discover relations, associations!

complexity

power & persistence

productivity audacity

ingenuity  creativity  originality

Logico-divergence: systematics/combinatorics: autoreference-recursivity-infinite

Pure divergence: emergent thoughts/ideas (sometimes “anti-logic” according to current standarts!)

Wild intelligence

 

 

All IQ tests = visual or auditory; what about the other senses?

 

Eysenck

Piaget

 

Meta

Meta meta

Weighting-degree is necessary

 

~In short, ability to see, to search, to use and to elaborate pertinent relationships.~

 

degrees in fluidity, including creativity, & with the distinction between adequate/effective creativity & other, purely free creativity

 

Normal distribution, gaussian curve? Too simple!

 

Lose ideas

 

Flynn effect:

-          so obvious impact of learning strategies 639 (92) 214 (fluid here & now becomes crystallized later & there )

-          nurturing

-          complexity of current conceptual realizations made by 1 person are similar to those of the previous centuries

-          strong impact of the hyper-visual environment

 

series:

-          to discover & formulate the algorithm:  0001  0010  1000  0100  ? (0100)

-          to use an existing algorithm/to find a strategy: how many moves until back to the initial configuration?

 

 

 

stats: 70% married women 55% married men

15/27

 

Avoid riddles

 

 

At which level is a correlation significative? 0.7? the correlations between the different types of intelligence would not have to be nul!

 

  

Raw g

genotype

 

 

▬▬▬►→

 

the “Cre-lox” and Tetracyclin methods of the conditional genetics highlights the importance of the specificities of the metabolism functioning

 

 

* “Much work remains to be done in the factor-analytic study of cognitive abilities.  The map of abilities provided by the three-stratum theory undoubtedly has errors of commission and omission, with gaps to be filled in by further research, including the development of new types of testing and assessment and the factorial investigation of their relationship with each other and with better established types of assessment” (Carroll, 1997)

 

 

 

 

gG Model

    Power-Scale StatS

 

 

 

 

 

 

 

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