Changes

</pre>

</pre>

====1.3.1.  Initial Analysis of Inquiry -- Allegro Aperto====

====1.3.1.  Initial Analysis of Inquiry &mdash; Allegro Aperto====

<pre>

<pre>

</pre>

</pre>

====1.3.8.  Rondeau — Tempo di Menuetto====

====1.3.8.  Rondeau &mdash; Tempo di Menuetto====

<pre>

<pre>

====1.3.12.  Syntactic Transformations====

====1.3.12.  Syntactic Transformations====

We have been examining several distinct but closely related notions of indication.  To discuss the import of these ideas in greater depth, it serves to establish a number of logical relations and set-theoretic identities that can be found to hold among their roughly parallel arrays of conceptions and constructions.  Facilitating this task, in turn, requires a number of auxiliary concepts and notations.

We have been examining several distinct but closely related notions of ''indication''.  To discuss the import of these ideas in greater depth, it serves to establish a number of logical relations and set-theoretic identities that can be found to hold among their roughly parallel arrays of conceptions and constructions.  Facilitating this task requires in turn a number of auxiliary concepts and notations.

The diverse notions of indication presently under discussion are expressed in a variety of different notations, enumerated as follows:

The diverse notions of indication presently under discussion are expressed in a variety of different notations, enumerated as follows:

=====1.3.12.1.  Syntactic Transformation Rules=====

=====1.3.12.1.  Syntactic Transformation Rules=====

A good way to summarize the necessary translations between different styles of indication, and along the way to organize their use in practice, is by means of the "rules of syntactic transformation" (ROSTs) that partially formalize the translations in question.

A good way to summarize the necessary translations between different styles of indication, and along the way to organize their use in practice, is by means of the ''rules of syntactic transformation'' (ROSTs) that partially formalize the translations in question.

Rudimentary examples of ROSTs are readily mined from the raw materials that are already available in this area of discussion.  To begin as near the beginning as possible, let the definition of an indicator function be recorded in the following form:

Rudimentary examples of ROSTs are readily mined from the raw materials that are already available in this area of discussion.  To begin as near the beginning as possible, let the definition of an indicator function be recorded in the following form:

===IDS.  Obligatory Note 1===

===IDS.  Obligatory Note 1===

While I remain compelled to remain silent on the status of the absolute fiat, the irrelative notion of the unmotivated motion and the disinterested stance, let me then turn to the other axes of description, descriptive vs. normative. Axes of description, indeed, you can almost hear one branch of the recursion already beginning to wind up its whine to the verge of a howl, but toss it a sop and try to persevere in the quest.

While I remain compelled to remain silent on the status of the absolute fiat,

the irrelative notion of the unmotivated motion and the disinterested stance,

let me then turn to the other axes of description, descriptive vs. normative.

Axes of description, indeed, you can almost hear one branch of the recursion

already beginning to wind up its whine to the verge of a howl, but toss it a

sop and try to persevere in the quest.

In this view, I regard the very idea of a norm as invoking its due pragma --

In this view, I regard the very idea of a norm as invoking its due pragma &mdash; aim, business, concern, desire, end, function, goal, intention, interest, objective, purpose, its names are legion &mdash; and the good sense of the norm is simply to suggest what one ought to do, contingent, of course, on one's motive to achieve that pragma.

aim, business, concern, desire, end, function, goal, intention, interest,

objective, purpose, its names are legion -- and the good sense of the

norm is simply to suggest what one ought to do, contingent, of course,

on one's motive to achieve that pragma.

If we keep in mind the kinds of "applied research task" (ART) that your

If we keep in mind the kinds of ''applied research task'' (ART) that your everyday artist, designer, engineer, mathematician, scientist, or other type of technical worker has to carry out on an everyday basis, we note how these axes of description can be used to frame their activities and to depict their forms of conduct, without mistaking either the frame or the picture for the object of the picture so framed.  Nor does any body imagine that the observer must flatten out into a single plane or align with a single axis, in order to make a vantage of the frame so pictured.

everyday artist, designer, engineer, mathematician, scientist, or other

type of technical worker has to carry out on an everyday basis, we note

how these axes of description can be used to frame their activities and

to depict their forms of conduct, without mistaking either the frame or

the picture for the object of the picture so framed.  Nor does any body

imagine that the observer must flatten out into a single plane or align

with a single axis, in order to make a vantage of the frame so pictured.

Common sense practical wit tells us that effective action toward the

Common sense practical wit tells us that effective action toward the achievement of a desirable result will naturally depend on acquiring good descriptions of the lay of the land in which we hope to advance.

achievement of a desirable result will naturally depend on acquiring

good descriptions of the lay of the land in which we hope to advance.

===IDS.  Projective Note 1===

===IDS.  Projective Note 1===