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In the special case where <math>x\!</math> is a sign or expression in the syntactic domain, then <math>\operatorname{Gno}_i (x) = {}^{\langle} x, i {}^{\rangle}\!</math> is tantamount to the quotation of <math>x\!</math> by and for the use of the interpreter <math>i,\!</math> in short, the nominal sign to <math>i\!</math> that makes <math>x\!</math> an object for <math>i.\!</math>  For signs and expressions, it is usually only the quoting function that makes them objects.  But nothing is an object in any sense for an interpreter unless it is an object of a sign relation for that interpreter.  Therefore, &hellip;
 
In the special case where <math>x\!</math> is a sign or expression in the syntactic domain, then <math>\operatorname{Gno}_i (x) = {}^{\langle} x, i {}^{\rangle}\!</math> is tantamount to the quotation of <math>x\!</math> by and for the use of the interpreter <math>i,\!</math> in short, the nominal sign to <math>i\!</math> that makes <math>x\!</math> an object for <math>i.\!</math>  For signs and expressions, it is usually only the quoting function that makes them objects.  But nothing is an object in any sense for an interpreter unless it is an object of a sign relation for that interpreter.  Therefore, &hellip;
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If it is now asked what measure of invariant understanding can be enjoyed by diverse parties of interpretive agents, then the discussion has come upon an issue with a familiar echo in mathematical analysis.  The organization of many local coordinate frames into systems capable of supporting communicative references to relatively &ldquo;objective&rdquo; objects is usually handled by means of the concept of a ''manifold''.  Therefore, the analogous task that is suggested for this project is to arrive at a workable definition of ''sign relational manifolds''.
If it is now asked what measure of invariant understanding can be enjoyed by diverse parties of interpretive agents, then the discussion has come upon an issue with a familiar echo in mathematical analysis.  The organization of many local coordinate frames into systems capable of supporting communicative references to relatively "objective" objects is usually handled by means of the concept of a "manifold".  Therefore, the analogous task that is suggested for this project is to arrive at a workable definition of "sign relational manifolds".
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The discrete nature of the A and B dialogue renders moot the larger share of issues of interest in continuous and differentiable manifolds.  However, it is still possible to get things moving in this direction by looking at simple structural analogies that connect the pragmatic theory of sign relations with the basic notions of analysis on manifolds.
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The discrete nature of the <math>\text{A}\!</math> and <math>\text{B}\!</math> dialogue renders moot the larger share of issues of interest in continuous and differentiable manifolds.  However, it is still possible to get things moving in this direction by looking at simple structural analogies that connect the pragmatic theory of sign relations with the basic notions of analysis on manifolds.
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===6.48. Discourse Analysis : Ways and Means===
 
===6.48. Discourse Analysis : Ways and Means===
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