Page:Carroll - Game of Logic.djvu/99

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    Let "persons" be Universe; $m$ = "Jews"; $x$ = "mad"; $y$ = "Rabbis".

    No $m$ are $x$; All $y$ are $m$.

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

    ∴ All $y$ are $x^{\prime }$.

    i.e. All Rabbis are sane.

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    Let "Things" be Universe; $m$ = "fish"; $x$ = "that can swim"; $y$ = "skates".

    No $m$ are $x^{\prime }$; Some $y$ are $m$.

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

    ∴ Some $y$ are $x$.

    i.e. Some skates can swim.

[See p. 54]