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As a phenomenon, a particular way of doing inquiry is regarded as embodied in a faculty of inquiry, as possessed by an agent of inquiry.  As a process, a particular example of inquiry is regarded as extended in time through a sequence of states, as experienced by its ongoing agent.  It is envisioned that an agent or faculty of any generically described phenomenal process, inquiry included, could be started off from different initial states and would follow different trajectories of subsequent states, and yet there would be a recognizable quality or abstractable property that justifies invoking the name of the genus.
 
As a phenomenon, a particular way of doing inquiry is regarded as embodied in a faculty of inquiry, as possessed by an agent of inquiry.  As a process, a particular example of inquiry is regarded as extended in time through a sequence of states, as experienced by its ongoing agent.  It is envisioned that an agent or faculty of any generically described phenomenal process, inquiry included, could be started off from different initial states and would follow different trajectories of subsequent states, and yet there would be a recognizable quality or abstractable property that justifies invoking the name of the genus.
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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: ''Y'' = genus of inquiry''y'' = generic inquiry''y''<sub>0</sub> = present inquiry. Compositions of "faculties" are indicated by concatenating their names, as ''f''&nbsp;<math>\cdot</math>&nbsp;''g'', and are posed in the sense that the right "applies to" the left.  The notation "''f''&nbsp;>=&nbsp;''g''&nbsp;" indicates that ''f'' is greater than or equal to ''g'' in a decompositional series, in other words, ''f'' possesses ''g'' as a component. The coset notation ''F''&nbsp;<math>\cdot</math>&nbsp;''G'' indicates a class of ''faculties'' of the form ''f''&nbsp;<math>\cdot</math>&nbsp;''g'', with ''f'' in ''F'' and ''g'' in ''G''. Notations like "{?}", "{?,&nbsp;?}", and so on, serve as proxies for unknown components and indicate tentative analyses of faculties in question.
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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:
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:: '''<code>Y</code>''' = genus of inquiry,
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:: '''<code>y</code>''' = generic inquiry,
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:: '''<code>y<sub>0</sub></code>''' = present inquiry.
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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:
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:: '''<code>f <math>\cdot</math> g</code>'''
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A notation of the form
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:: '''<code>f >= g</code>'''
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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.
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The coset notation
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:: '''<code>F&nbsp;<math>\cdot</math>&nbsp;G</code>'''
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indicates a class of ''faculties'' of the form
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:: '''<code>f&nbsp;<math>\cdot</math>&nbsp;g</code>''',
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with '''<code>f</code>''' in '''<code>F</code>''' and '''<code>g</code>''' in '''<code>G</code>'''.
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Notations like
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:: '''<code>{?}</code>''', '''<code>{?,&nbsp;?}</code>''', '''<code>{?,&nbsp;?,&nbsp;?}</code>''', &hellip;
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serve as proxies for unknown components and indicate tentative analyses of faculties in question.
    
====1.3.1.  Initial Analysis of Inquiry : Allegro Aperto====
 
====1.3.1.  Initial Analysis of Inquiry : Allegro Aperto====
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