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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''<math>\cdot</math>''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''<math>\cdot</math>''G'' indicates a class of "faculties" of the form ''f''<math>\cdot</math>''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:  ''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.
    
====1.3.1.  Initial Analysis of Inquiry : Allegro Aperto====
 
====1.3.1.  Initial Analysis of Inquiry : Allegro Aperto====
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If the faculty of inquiry is a coherent power, then it has an active or instrumental face, a passive or objective face, and a substantial body of connections between them.  ''y'' = {?}.
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If the faculty of inquiry is a coherent power, then it has an active or instrumental face, a passive or objective face, and a substantial body of connections between them.
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In giving the current inquiry a reflexive cast, as inquiry into inquiry, I have brought inquiry face to face with itself, inditing it to apply its action in pursuing a knowledge of its passion.  y0 = y.y = {?}{?}.
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:: '''<code>y = {?}</code>'''
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If this juxtaposition of characters is to have a meaningful issue, then the fullness of its instrumental and objective aspects must have recourse to easier actions and simpler objects.  y >= {?, ?}.
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In giving the current inquiry a reflexive cast, as inquiry into inquiry, I have brought inquiry face to face with itself, inditing it to apply its action in pursuing a knowledge of its passion.
Looking for an edge on each face of inquiry, as a plausible option for beginning to apply one to the other, I find what seems a likely pair.  I begin with an aspect of instrumental inquiry that is easy to do, namely "discussion", along with an aspect of objective inquiry that is unavoidable to discuss, namely "formalization".  y >= {disc, form}.
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In accord with this plan, the body of this section is devoted to a discussion of formalization. y0 = y.y >= {d, f}{d, f} >= {f}{d}.
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:: '''<code>y<sub>0</sub> = y&nbsp;<math>\cdot</math>&nbsp;y = {?}{?}</code>'''
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If this juxtaposition of characters is to have a meaningful issue, then the fullness of its instrumental and objective aspects must have recourse to easier actions and simpler objects.
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:: '''<code>y >= {?,&nbsp;?}</code>'''
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Looking for an edge on each face of inquiry, as a plausible option for beginning to apply one to the other, I find what seems a likely pair.  I begin with an aspect of instrumental inquiry that is easy to do, namely ''discussion'', along with an aspect of objective inquiry that is unavoidable to discuss, namely ''formalization''.
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:: '''<code>y >= {disc,&nbsp;form}</code>'''
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In accord with this plan, the body of this section is devoted to a discussion of formalization.
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:: '''<code>y<sub>0</sub> = y&nbsp;<math>\cdot</math>&nbsp;y >= {d,&nbsp;f}{d,&nbsp;f} >= {f}{d}</code>'''
    
====1.3.2.  Discussion of Discussion====
 
====1.3.2.  Discussion of Discussion====
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But first, I nearly skipped a step.  Though it might present itself as an interruption, a topic so easy that I almost omitted it altogether deserves at least a passing notice. y0 = y.y >= {d, f}{d, f} >= {d}{d}.
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But first, I nearly skipped a step.  Though it might present itself as an interruption, a topic so easy that I almost omitted it altogether deserves at least a passing notice.
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:: '''<code>y<sub>0</sub> = y&nbsp;<math>\cdot</math>&nbsp;y >= {d,&nbsp;f}{d,&nbsp;f} >= {d}{d}</code>'''
    
Discussion is easy in general because its termination criterion is relaxed to the point of becoming otiose.  A discussion of things in general can be pursued as an end in itself, with no consideration of any purpose but persevering in its current form, and this accounts for the virtually perpetual continuation of many a familiar and perennial discussion.
 
Discussion is easy in general because its termination criterion is relaxed to the point of becoming otiose.  A discussion of things in general can be pursued as an end in itself, with no consideration of any purpose but persevering in its current form, and this accounts for the virtually perpetual continuation of many a familiar and perennial discussion.
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