Changes

In order to have a variety of more convenient names for referring to the object potentially denoted by the sign <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},</math> I refer to the expression <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime}</math> as ''&ldquo;The Initial Equation&rdquo;'', or as ''&ldquo;TIE&rdquo;'', for short.  Although it is not strictly necessary for such a small piece of text as <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},</math> I here obey the rule that the titles of texts are italicized.  Furthermore, the object, situation, or state that satisfies ''TIE'', to the effect that <math>y_0 = y \cdot y,\!</math> and is therefore potentially denoted by ''TIE'', can also be referred to as &ldquo;the intended state&rdquo;, or as &ldquo;TIS&rdquo;, for short.

In order to have a variety of more convenient names for referring to the object potentially denoted by the sign <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},</math> I refer to the expression <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime}</math> as ''&ldquo;The Initial Equation&rdquo;'', or as ''&ldquo;TIE&rdquo;'', for short.  Although it is not strictly necessary for such a small piece of text as <math>{}^{\backprime\backprime} y_0 = y \cdot y {}^{\prime\prime},</math> I here obey the rule that the titles of texts are italicized.  Furthermore, the object, situation, or state that satisfies ''TIE'', to the effect that <math>y_0 = y \cdot y,\!</math> and is therefore potentially denoted by ''TIE'', can also be referred to as &ldquo;the intended state&rdquo;, or as &ldquo;TIS&rdquo;, for short.

At midnight hour in mirkest glen,

| colspan="2" | At midnight hour in mirkest glen,

I'd rove, and ne'er be eerie, O,

If thro that glen I gaed to thee,

| width="5%"  | &nbsp; || I'd rove, and ne'er be eerie, O,

My ain kind dearie, O!

Altho, the night were ne'er sae wild,

| colspan="2" | If thro that glen I gaed to thee,

And I were ne'er sae weary, O,

I'll meet thee on the lea rig,

| width="5%"  | &nbsp; || My ain kind dearie, O!

My ain kind dearie, O!

Robert Burns, The Lea-Rig, [CPW, 474]

| colspan="2" | Altho, the night were ne'er sae wild,

| width="5%"  | &nbsp; || And I were ne'er sae weary, O,

| colspan="2" | I'll meet thee on the lea-rig,

| width="5%"  | &nbsp; || My ain kind dearie, O!

| colspan="2" align="right" | &mdash; Robert Burns, ''The Lea-Rig'', [CPW, 474]

For the sake of shortening future references to the chief object of the present inquiry and the initial sign of its potential existence, let the acronym "TIS" be equiferent to the phrase "the intended state", and let the italic tag "TIE" be equiferent to the title "The Initial Equation".  Further, let the connotations be so arranged that "TIS" is semiotically equivalent to "the intended state" and "TIE" is semiotically equivalent to "The Initial Equation".  It is important to note that a set of signs can be equiferent among themselves in the wholly vacuous sense that all of them have no objective reference, and, strictly speaking of what they denote, that all of them refer to nothing at all, whereas a set of signs that are equivalent in the properly semiotic sense still have each other as their connotations.

For the sake of shortening future references to the chief object of the present inquiry and the initial sign of its potential existence, let the acronym "TIS" be equiferent to the phrase "the intended state", and let the italic tag "TIE" be equiferent to the title "The Initial Equation".  Further, let the connotations be so arranged that "TIS" is semiotically equivalent to "the intended state" and "TIE" is semiotically equivalent to "The Initial Equation".  It is important to note that a set of signs can be equiferent among themselves in the wholly vacuous sense that all of them have no objective reference, and, strictly speaking of what they denote, that all of them refer to nothing at all, whereas a set of signs that are equivalent in the properly semiotic sense still have each other as their connotations.