Changes

If <math>X = \{ x_1, \ldots, x_n \}\!</math> is a set of objects under discussion, then one needs to consider several sets of signs that might be associated, element by element, with the elements of <math>X.\!</math>

If <math>X = \{ x_1, \ldots, x_n \}\!</math> is a set of objects under discussion, then one needs to consider several sets of signs that might be associated, element by element, with the elements of <math>X.\!</math>

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<ol style="list-style-type:decimal">

1. The "nominal resource" ("nominal alphabet" or "nominal lexicon") for X is a set of signs that is notated and defined as follows:

X" =  Nom (X)  =  {"x1", ... , "xn"}.

<p>The ''nominal resource'' (''nominal alphabet'' or ''nominal lexicon'') for <math>X\!</math> is a set of signs that is notated and defined as follows:</p>

This concept is intended to capture the ordinary usage of this set of signs in one familiar context or another.

<p><math>X^{\backprime\backprime\prime\prime} = \operatorname{Nom}(X) = \{ {}^{\backprime\backprime} x_1 {}^{\prime\prime}, \ldots, {}^{\backprime\backprime} x_n {}^{\prime\prime} \}.</math></p>

2. The "mediate resource" ("mediate alphabet" or "mediate lexicon") for X is a set of signs that is notated and defined as follows:

<p>This concept is intended to capture the ordinary usage of this set of signs in one familiar context or another.</p></li>

X<> =  Med (X)  =  {<x1>, ... , <xn>}.

<li>

<p>The ''mediate resource'' (''mediate alphabet'' or ''mediate lexicon'') for <math>X\!</math> is a set of signs that is notated and defined as follows:</p>

This concept provides a middle ground between the nominal resource above and the literal resource below.

<p><math>X^{\langle\rangle} = \operatorname{Med}(X) = \{ {}^{\langle} x_1 {}^{\rangle}, \ldots, {}^{\langle} x_n {}^{\rangle} \}.</math></p>

3. The "literal resource" ("literal alphabet" or "literal lexicon")

<p>This concept provides a middle ground between the nominal resource above and the literal resource described next.</p></li>

X =  Lit (X)  =  { x1 , ... ,  xn }.

<p>The ''literal resource'' (''literal alphabet'' or ''literal lexicon'') for <math>X\!</math> is a set of signs that is notated and defined as follows:</p>

This concept is intended to supply a set of signs that can be used in ways that are analogous to familiar usages, but which are more subject to free variation and thematic control.

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<p>This concept is intended to supply a set of signs that can be used in ways analogous to familiar usages, but which are more subject to free variation and thematic control.</p></li></ol>

===6.14. Issue 3. The Status of Variables===

===6.14. Issue 3. The Status of Variables===