Changes

The steps of this analysis will be annotated below by making use of the following conventions.  Lower case letters denote phenomena, processes, or faculties under investigation.  Upper case letters denote classes of the same sorts of entities.  Special use is made of the following symbols:

The steps of this analysis will be annotated below by making use of the following conventions.  Lower case letters denote phenomena, processes, or faculties under investigation.  Upper case letters denote classes of the same sorts of entities.  Special use is made of the following symbols:

:: '''<code>Y</code>''' = genus of inquiry,

:: <math>Y\!</math> = genus of inquiry,

:: '''<code>y</code>''' = generic inquiry,

:: <math>y\!</math> = generic inquiry,

:: '''<code>y₀</code>''' = present inquiry.

:: <math>y_0\!</math> = present inquiry.

Compositions of ''faculties'' are indicated by concatenating their names, posed in the sense that the right-indicated faculty applies to the left-indicated faculty, in the following form:

Compositions of ''faculties'' are indicated by concatenating their names, posed in the sense that the right-indicated faculty applies to the left-indicated faculty, in the following form:

:: '''<code>f <math>\cdot</math> g</code>'''

:: <math>f \cdot g</math>

A notation of the form

A notation of the form

:: '''<code>f >= g</code>'''

:: <math>f >\!\!= g</math>

indicates that '''<code>f</code>''' is greater than or equal to '''<code>g</code>''' in a decompositional series, in other words, '''<code>f</code>''' possesses '''<code>g</code>''' as a component.

indicates that <math>f\!</math> is greater than or equal to <math>g\!</math> in a decompositional series, in other words, that <math>f\!</math> possesses <math>g\!</math> as a component.

The coset notation

The coset notation

:: '''<code>F&nbsp;<math>\cdot</math>&nbsp;G</code>'''

:: <math>F \cdot G</math>

indicates a class of ''faculties'' of the form

indicates a class of ''faculties'' of the form

:: '''<code>f&nbsp;<math>\cdot</math>&nbsp;g</code>''',

:: <math>f \cdot g</math>,

with '''<code>f</code>''' in '''<code>F</code>''' and '''<code>g</code>''' in '''<code>G</code>'''.

with <math>f\!</math> in <math>F\!</math> and <math>g\!</math> in <math>G\!</math>.

Notations like

Notations like

:: '''<code>{?}</code>''', '''<code>{?,&nbsp;?}</code>''', '''<code>{?,&nbsp;?,&nbsp;?}</code>''', &hellip;

:: <math>\{ ? \}</math>, <math>\{ ? , ? \}</math>, <math>\{ ? , ? , ?\}</math>, &hellip;

serve as proxies for unknown components and indicate tentative analyses of faculties in question.

serve as proxies for unknown components and indicate tentative analyses of faculties in question.