# Page:Carroll - Game of Logic.djvu/94

78
[Ch. III.
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Let "things" be Universe; ${\displaystyle m}$ = "medicine"; ${\displaystyle x}$ = "nasty"; ${\displaystyle y}$ = "senna".

 All ${\displaystyle m}$ are ${\displaystyle x}$; All ${\displaystyle y}$ are ${\displaystyle m}$. ${\displaystyle \scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}}$ ∴ All ${\displaystyle y}$ are ${\displaystyle x}$.
i.e. Senna is nasty.
[See remarks on No. 7, p. 60]
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Let "persons" be Universe; ${\displaystyle m}$ = "Jews"; ${\displaystyle x}$ = "rich"; ${\displaystyle y}$ = "Patagonians".

 Some ${\displaystyle m}$ are ${\displaystyle x}$; All ${\displaystyle y}$ are ${\displaystyle m^{\prime }}$. ${\displaystyle \scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}}$ ∴ Some ${\displaystyle x}$ are ${\displaystyle y^{\prime }}$.

i.e. Some rich persons are not Patagonians.

[See p. 53]