# Page:Carroll - Game of Logic.djvu/98

82
[Ch. III.
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Let "persons" be Universe; ${\displaystyle m}$ = "Jews"; ${\displaystyle x}$ = "that are in the house"; ${\displaystyle y}$ = "that are in the garden".

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

i.e. No persons, that are in the house, are also in the garden.

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Let "Things" be Universe; ${\displaystyle m}$ = "noisy"; ${\displaystyle x}$ = "battles"; ${\displaystyle y}$ = "that may escape notice".

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

i.e. Some things, that are not battles, may escape notice.

[See p. 53, 54]