Changes

===Commentary Note 11.16===

===Commentary Note 11.16===

I think that we have enough material on morphisms now to go back and cast a more studied eye on what Peirce is doing with that "number of" function, the one that we apply to a logical term ''t'', absolute or relative of any number of correlates, by writing it in square brackets, as [''t''].  It is frequently convenient to have a prefix notation for this function, and since Peirce reserves ''n'' to signify ''not'', I will try to use ''v'', personally thinking of it as a Greek ν, which stands for frequency in physics, and which kind of makes sense if we think of frequency as it's habitual in statistics.  End of mnemonics.

We have enough material on morphisms now to go back and cast a more studied eye on what Peirce is doing with that "number of" function, the one that we apply to a logical term <math>t\!</math> by writing it in square brackets, as <math>[t].\!</math> It is convenient to have a prefix notation for this function, and since Peirce reserves <math>\mathit{n}\!</math> for <math>\operatorname{not},\!</math> let's use <math>v(t)\!</math> as a variant for <math>[t].\!</math>

My plan will be nothing less plodding than to work through all of the principal statements that Peirce has made about the "number of" function up to our present stopping place in the paper, namely, those that I collected once before and placed at this location:

My plan will be nothing less plodding than to work through all of the principal statements that Peirce has made about the "number of" function up to our present stopping place in the paper, namely, those that I collected once before and placed at this location:

* [http://stderr.org/pipermail/inquiry/2004-November/001814.html LOR.COM 11.2].

:* [[Directory:Jon_Awbrey/Papers/Peirce%27s_1870_Logic_Of_Relatives#Commentary_Note_11.2|Commentary Note 11.2]]

{| align="center" cellspacing="6" width="90%" <!--QUOTE-->

{| align="center" cellspacing="6" width="90%" <!--QUOTE-->

<p>The number of a relative with two correlates would be the average number of things so related to a pair of individuals;  and so on for relatives of higher numbers of correlates.</p>

<p>The number of a relative with two correlates would be the average number of things so related to a pair of individuals;  and so on for relatives of higher numbers of correlates.</p>

<p>I propose to denote the number of a logical term by enclosing the term in square brackets, thus [''t'']. (Peirce, CP 3.65).</p>

<p>I propose to denote the number of a logical term by enclosing the term in square brackets, thus <math>[t].\!</math></p>

 

<p>(Peirce, CP 3.65).</p>

|}

|}