# Page:Carroll - Game of Logic.djvu/87

§ 6.]
71
PROPOSITIONS REPRESENTED.

20. We had better take "persons" as Universe. We may choose "myself" as 'Middle Term', in which case the Premisses will take the form

 I am a-person-who-sent-him-to-bring-a-kitten; ${\displaystyle \scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}}$ I am a-person-to-whom-he-brought-a-kettle-by-mistake.

Or we may choose "he" as 'Middle Term', in which case the Premisses will take the form

 He is a-person-whom-I-sent-to-bring-me-a-kitten; ${\displaystyle \scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}}$ He is a-person-who-brought-me-a-kettle-by-mistake.

The latter form seems best, as the interest of the anecdote clearly depends on his stupidity——not on what happened to me. Let us then make ${\displaystyle m}$ = "he"; ${\displaystyle x}$ = "persons whom I sent, &c."; and ${\displaystyle y}$ = "persons who brought, &c."

Hence,

 All ${\displaystyle m}$ are .mw-parser-output .nowrap,.mw-parser-output .nowrap a:before,.mw-parser-output .nowrap .selflink:before{white-space:nowrap}${\displaystyle x}$; ${\displaystyle \scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}}$ All ${\displaystyle m}$ are ${\displaystyle y}$.

and the required Diagram is

 1 0 0 0

[See p. 50]