Page:Carroll - Game of Logic.djvu/96

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    Let "creatures" be Universe; $m$ = "that run well"; $x$ = "fat"; $y$ = "greyhounds".

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

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

    ∴ Some $y$ are $x^{\prime }$.

    i.e. Some greyhounds are not fat.

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    Let "persons" be Universe; $m$ = "soldiers"; $x$ = "that march"; $y$ = "youths".

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

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

    There is 'no information' for the smaller Diagram; so no Conclusion can be drawn.

[See p. 53]