Page:Carroll - Game of Logic.djvu/91

§ 7.]
75
BOTH DIAGRAMS EMPLOYED.
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Let "persons" be Universe; ${\displaystyle m}$ = "patient"; ${\displaystyle x}$ = "children"; ${\displaystyle y}$ = "that can sit still".

 No ${\displaystyle x}$ are ${\displaystyle m}$; No ${\displaystyle m^{\prime }}$ are ${\displaystyle y}$. ${\displaystyle \scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}}$ ∴ No ${\displaystyle x}$ are ${\displaystyle y}$.

i.e. No children can sit still.

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Let "things" be Universe; ${\displaystyle m}$ = "fat": ${\displaystyle x}$ = "pigs"; ${\displaystyle y}$ = "skeletons".

 All ${\displaystyle x}$ are ${\displaystyle m}$; No ${\displaystyle y}$ are ${\displaystyle m}$. ${\displaystyle \scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}}$ ∴ All ${\displaystyle x}$ are ${\displaystyle y^{\prime }}$.

i.e. All pigs are not-skeletons.

[See pp. 52, 3]