Page:Carroll - Game of Logic.djvu/94

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    Let "things" be Universe; $m$ = "medicine"; $x$ = "nasty"; $y$ = "senna".

    All $m$ are $x$; All $y$ are $m$.

    $\scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}$

    ∴ All $y$ are $x$.

    i.e. Senna is nasty.
    [See remarks on No. 7, p. 60]

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    Let "persons" be Universe; $m$ = "Jews"; $x$ = "rich"; $y$ = "Patagonians".

    Some $m$ are $x$; All $y$ are $m^{\prime }$.

    $\scriptstyle {\left.{\begin{matrix}\ \\\ \end{matrix}}\right\}\,}$

    ∴ Some $x$ are $y^{\prime }$.

    i.e. Some rich persons are not Patagonians.

[See p. 53]