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The present inquiry acts on the purely formal suggestion that a generic inquiry can inquire into other inquiries, perhaps even those that remain ongoing, moreover, that a particular inquiry can even inquire into itself.  Interpolating the appropriate symbols, the present inquiry, referring to itself as <math>{}^{\backprime\backprime} y_0 {}^{\prime\prime},</math> acts on the instance of a purely formal possibility, one that it expresses as a premiss in the formula <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},</math> intending this to be interpreted to the effect that an inquiry can inquire into a class of inquiries that includes itself as a member, and this is a hypothesis that is based on little more authority than the fact of its expression a prospective formal language, in other words, one whose interpretation is still a largely prospective matter.

The present inquiry acts on the purely formal suggestion that a generic inquiry can inquire into other inquiries, perhaps even those that remain ongoing, moreover, that a particular inquiry can even inquire into itself.  Interpolating the appropriate symbols, the present inquiry, referring to itself as "y0", acts on the instance of a purely formal possibility, one that it expresses as a premiss in the formula "y0 = y.y", intending this to be interpreted to the effect that an inquiry can inquire into a class of inquiries that includes itself as a member, and this is a hypothesis that is based on little more authority than the fact of its expression a prospective formal language, in other words, one whose interpretation is still a largely prospective matter.

Stepping back and reflecting on the situation, one needs to ask how in general and how in particular does one fall so blithely into these forms and into these manners of representation.  Once that process is better understood then it becomes possible to evaluate in a fairer way whether this direction of fall is tantamount to a happy accident of the natural intuition or whether it constellates a disastrous catastrophe that needs to be remedied through the application of a severer style of reasoning.  Generally speaking, the point at which intellectual developments like these begin to take on an automatic character is when the intention is formed of devising a formal calculus, in the present case, a prospective calculus of "applications" or "appositions" of the form f.g, the terms of which are intended to be capable of referring to processes potentially as complex as inquiries.  The project of an "appositional calculus" (AC) is what formalizes the intuitive possibility of an inquiry into inquiry and continues to suggest the formal possibility that any inquiry can be applied to itself, at least, any inquiry that can be symbolized in this calculus.

Stepping back and reflecting on the situation, one needs to ask how in general and how in particular does one fall so blithely into these forms and into these manners of representation.  Once that process is better understood then it becomes possible to evaluate in a fairer way whether this direction of fall is tantamount to a happy accident of the natural intuition or whether it constellates a disastrous catastrophe that needs to be remedied through the application of a severer style of reasoning.  Generally speaking, the point at which intellectual developments like these begin to take on an automatic character is when the intention is formed of devising a formal calculus, in the present case, a prospective calculus of ''applications'' or ''appositions'' of the form <math>f \cdot g,\!</math> the terms of which are intended to be capable of referring to processes potentially as complex as inquiries.  The project of an ''appositional calculus'' (AC) is what formalizes the intuitive possibility of an inquiry into inquiry and continues to suggest the formal possibility that any inquiry can be applied to itself, at least, any inquiry that can be symbolized in this calculus.

But not every form of words that can be formed within the permissions of a formal language does in fact point to a form of objective reality.  Whether an inquiry into inquiry is a real possibility, how its possibility is to be actualized if it is indeed real in fact, and why it is necessary for an individual species of agents to bother with the actualization of this possibility &mdash; these are just some of the questions that demand to be addressed at this point, no matter how gingerly and how tentatively it is presently conceivable to respond to them, and they are just a few of the issues the distribution of whose partial solutions are found to occupy the greater body of this work.

But not every form of words that can be formed within the permissions of a formal language does in fact point to a form of objective reality.  Whether an inquiry into inquiry is a real possibility, how its possibility is to be actualized if it is indeed real in fact, and why it is necessary for an individual species of agents to bother with the actualization of this possibility &mdash; these are just some of the questions that demand to be addressed at this point, no matter how gingerly and how tentatively it is presently conceivable to respond to them, and they are just a few of the issues the distribution of whose partial solutions are found to occupy the greater body of this work.

=====5.1.2.3. The Endeavor to Communicate=====

=====5.1.2.3. The Endeavor to Communicate=====