Changes

<p>Then, the giver of a horse to a lover of a woman may be written:</p>

<p>Then, the giver of a horse to a lover of a woman may be written:</p>

 

<p>`g`₁₂'l'₁''wh'' = `g`₁₁'l'₂''hw'' = `g`_2(–1)h'l'₁''w''.</p>

| align="center" | <math>\mathfrak{g}_{12} \mathit{l}_1 \mathrm{w} \mathrm{h} ~=~ \mathfrak{g}_{11} \mathit{l}_2 \mathrm{h} \mathrm{w} ~=~ \mathfrak{g}_{2(-1)} \mathrm{h} \mathit{l}_1 \mathrm{w}</math>.

 

<p>Of course a negative number indicates that the former correlate follows the latter by the corresponding positive number.</p>

<p>Of course a negative number indicates that the former correlate follows the latter by the corresponding positive number.</p>

<p>A subjacent 'zero' makes the term itself the correlate.</p>

<p>A subjacent ''zero'' makes the term itself the correlate.</p>

<p>Thus,</p>

<p>Thus,</p>

 

<p>'l'₀</p>

| align="center" | <math>\mathit{l}_0\!</math>

 

<p>denotes the lover of 'that' lover or the lover of himself, just as `g`'o'h denotes that the horse is given to the owner of itself, for to make a term doubly a correlate is, by the distributive principle, to make each individual doubly a correlate, so that:</p>

 

<p>denotes the lover of ''that'' lover or the lover of himself, just as <math>\mathfrak{g}\mathit{o}\mathrm{h}</math> denotes that the horse is given to the owner of itself, for to make a term doubly a correlate is, by the distributive principle, to make each individual doubly a correlate, so that:</p>

<p>'l'₀ = L₀ +, L₀&prime; +, L₀&Prime; +, etc.</p>

 

| align="center" | <math>\mathit{l}_0 ~=~ \mathit{L}_0 ~+\!\!,~ \mathit{L}_0^{\prime} ~+\!\!,~ \mathit{L}_0^{\prime\prime} ~+\!\!,~ \text{etc.}</math>

<p>A subjacent sign of infinity may indicate that the correlate is indeterminate, so that:</p>

<p>A subjacent sign of infinity may indicate that the correlate is indeterminate, so that:</p>

 

<p>'l'_&infin;</p>

| align="center" | <math>\mathit{l}_\infty</math>

 

<p>will denote a lover of something.  We shall have some confirmation of this presently.</p>

<p>will denote a lover of something.  We shall have some confirmation of this presently.</p>

<p>If the last subjacent number is a 'one' it may be omitted.  Thus we shall have:</p>

<p>If the last subjacent number is a ''one'' it may be omitted.  Thus we shall have:</p>

 

<p>'l'₁ = 'l',</p>

| align="center" | <math>\mathit{l}_1 ~=~ \mathit{l}</math>,

 

<p>`g`₁₁ = `g`₁ = `g`.</p>

| align="center" | <math>\mathfrak{g}_{11} ~=~ \mathfrak{g}_1 ~=~ \mathfrak{g}</math>.

 

<p>This enables us to retain our former expressions 'l'w, `g`'o'h, etc.</p>

<p>This enables us to retain our former expressions <math>\mathit{l}\mathrm{w}\!</math>, <math>\mathfrak{g}\mathit{o}\mathrm{h}</math>, etc.</p>

<p>(Peirce, CP 3.69–70).</p>

<p>(Peirce, CP 3.69&ndash;70).</p>

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