# Page:Carroll - Game of Logic.djvu/96

80
[Ch. III.
1.  0 0 1
 1

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

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

i.e. Some greyhounds are not fat.

2.  1 — 0 0

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

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

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

[See p. 53]