TOWARDS A QUANTITATIVE BASIS FOR CREATIVITY & QUALITY
Discussed in the "Biographical Statement of MJB" on these blog pages, is the so-called "IQ-Estimator" that is based upon scores achieved on the Scholastic Aptitude Test (SAT) or, alternatively, the Graduate Record Exam (GRE). The link to the GRE-SAT-IQ-Estimator is given here as (www.iqcomparisonsite.com/GREIQ.aspx) and the IQ scores it correlates with GRE scores can be used as a measure of creativity of an individual in terms of "units of creativity".
The quantification of creativity may seem to be impossibly complicated by nuances in personality and other complex social issues. But what we see here, based upon correlation with IQ scores, is a so-called "creativity parameter" defined as such, in terms of "units of creativity", which successfully correlates with inteligence. The so-called "units of creativity" include things like: (1) book chapters and academic papers properly refereed into academic-commercial publications (2) inventions recorded in patents by inventors (3) works of art and sculpture properly juried and critically acclaimed (4) published musical compositions, to include either/both the melody and/or the lyrics (5) published poetry collections, plays and fiction that are sufficiently critically acclaimed (6) certain works of a master craftsman of the technical arts with critical appeal (7) other units of creativity not addressed here.
By carefully fitting the number of "units of creativity" against the IQ of an individual, as measured perhaps by a thorough intelligence test such as the Graduate Record Exam (GRE) mentioned above, it has been possible to generate a creativity function, represented by the Greek letter iota, I, based upon a lifetime of creative expression in "units of creativity" described above, for individuals. The creativity function, I, is cited as Equation (1) below:
(1) "creativity parameter" = I = exp((I.Q. - 100)^2)/(100 x phi x e)
The function is a straightforward, bilaterally symmetric exponential in which the terms "e" the base of exponentials, and phi, the golden mean, curiously enter as parameters in the overall creativity function. The results of the function can be worked out on a standard electronic calculator and plotted on a computer.
From the such a computation, it is clear that at IQ's below 60 on standard testing like a GRE, or conversely at IQ's above 140 as evidenced on a test like the GRE, one sees an individual blossoming with creative expression. This is a result of the bilaterally symmetric functional form of Equation (1) above. It suggests that those with low IQ's achieve creativities, quite often, that approach those of high IQ, typically such low IQ creative expression comes through the creativity exhibited in the technical arts and with other savants like the blind, indigent musical savants that are known in the world.
What is curious about the simple calculator computation cited above, is the turning points for creative expression at 60 and 140 IQ points, respectively. It is as if Nature has turned on in the brain of an individual scoring beyond these limits of intelligence, a sort of "Creativity Genie" which, in effect, compels such individuals, no matter the circumstances that they are under, to blossom somehow and someway, in the direction of their innate creativity, and to nearly fully express themselves to the absolute degree of their innate intelligence to better than 99.9% of the time. It is the belief of the author's of this "creativity function", shown as Equation (1), that perhaps such a function is >99.9% accurate within a given population.
Yet another relation that can be gleaned from Equation (1), is a relation for the golden ratio, ubiquitous in mathematical formulations and relations, in terms of the I.Q. and the so-called "creativity parameter", I , introduced in Equation (1). The latter relation is shown as (2) below:
(2) "golden ratio" = phi = (I.Q. - 100)^2/(100·e·ln I)
It is fascinating that the golden mean can be brought into a relation with intelligence, measured by I.Q., and creativity measured by I. It suggests an underlying harmony of the construction of the human mind and quantifies for all time the mechanism of action of the creative process.
There is, indeed, a further relation developed out of (2) that represents a measure of the quality of an individual's creative output. This relation involves pi and phi and is on a more tenuous footing. Roughly relation (3) below reports a %age of works, of an author, above a standard measure of quality, Q, in their respective area of expertise. This relation is currently under investigation and development. Here below in (3) Q represents the quality of an individuals work in conjunction with their I.Q.
(3) "golden ratio" = phi = (I.Q. - 100)^2/(100·pi·ln Q)
The quantification of creativity may seem to be impossibly complicated by nuances in personality and other complex social issues. But what we see here, based upon correlation with IQ scores, is a so-called "creativity parameter" defined as such, in terms of "units of creativity", which successfully correlates with inteligence. The so-called "units of creativity" include things like: (1) book chapters and academic papers properly refereed into academic-commercial publications (2) inventions recorded in patents by inventors (3) works of art and sculpture properly juried and critically acclaimed (4) published musical compositions, to include either/both the melody and/or the lyrics (5) published poetry collections, plays and fiction that are sufficiently critically acclaimed (6) certain works of a master craftsman of the technical arts with critical appeal (7) other units of creativity not addressed here.
By carefully fitting the number of "units of creativity" against the IQ of an individual, as measured perhaps by a thorough intelligence test such as the Graduate Record Exam (GRE) mentioned above, it has been possible to generate a creativity function, represented by the Greek letter iota, I, based upon a lifetime of creative expression in "units of creativity" described above, for individuals. The creativity function, I, is cited as Equation (1) below:
(1) "creativity parameter" = I = exp((I.Q. - 100)^2)/(100 x phi x e)
The function is a straightforward, bilaterally symmetric exponential in which the terms "e" the base of exponentials, and phi, the golden mean, curiously enter as parameters in the overall creativity function. The results of the function can be worked out on a standard electronic calculator and plotted on a computer.
From the such a computation, it is clear that at IQ's below 60 on standard testing like a GRE, or conversely at IQ's above 140 as evidenced on a test like the GRE, one sees an individual blossoming with creative expression. This is a result of the bilaterally symmetric functional form of Equation (1) above. It suggests that those with low IQ's achieve creativities, quite often, that approach those of high IQ, typically such low IQ creative expression comes through the creativity exhibited in the technical arts and with other savants like the blind, indigent musical savants that are known in the world.
What is curious about the simple calculator computation cited above, is the turning points for creative expression at 60 and 140 IQ points, respectively. It is as if Nature has turned on in the brain of an individual scoring beyond these limits of intelligence, a sort of "Creativity Genie" which, in effect, compels such individuals, no matter the circumstances that they are under, to blossom somehow and someway, in the direction of their innate creativity, and to nearly fully express themselves to the absolute degree of their innate intelligence to better than 99.9% of the time. It is the belief of the author's of this "creativity function", shown as Equation (1), that perhaps such a function is >99.9% accurate within a given population.
Yet another relation that can be gleaned from Equation (1), is a relation for the golden ratio, ubiquitous in mathematical formulations and relations, in terms of the I.Q. and the so-called "creativity parameter", I , introduced in Equation (1). The latter relation is shown as (2) below:
(2) "golden ratio" = phi = (I.Q. - 100)^2/(100·e·ln I)
It is fascinating that the golden mean can be brought into a relation with intelligence, measured by I.Q., and creativity measured by I. It suggests an underlying harmony of the construction of the human mind and quantifies for all time the mechanism of action of the creative process.
There is, indeed, a further relation developed out of (2) that represents a measure of the quality of an individual's creative output. This relation involves pi and phi and is on a more tenuous footing. Roughly relation (3) below reports a %age of works, of an author, above a standard measure of quality, Q, in their respective area of expertise. This relation is currently under investigation and development. Here below in (3) Q represents the quality of an individuals work in conjunction with their I.Q.
(3) "golden ratio" = phi = (I.Q. - 100)^2/(100·pi·ln Q)
posted by Hexagonite @ 8:43 AM
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