# Page:Carroll - Game of Logic.djvu/92

76
[Ch. III.
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Let "creatures" be Universe; ${\displaystyle m}$ = "monkeys"; ${\displaystyle x}$ = "soldiers"; ${\displaystyle y}$ = "mischievous".

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

i.e. Some mischievous creatures are not soldiers.

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Let "persons" be Universe; ${\displaystyle m}$ = "just": ${\displaystyle x}$ = "my cousins"; ${\displaystyle y}$ = "judges".

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

i.e. None of my cousins are judges.

[See p. 53]