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The Game of Logic by Lewis Carroll
page 15 of 121 (12%)
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Our ingenious American cousins have invented a phrase to express
the position of a man who wants to join one or the other of two
parties--such as their two parties 'Democrats' and 'Republicans'--but
can't make up his mind WHICH. Such a man is said to be "sitting
on the fence." Now that is exactly the position of the red counter
you have just placed on the division-line. He likes the look of
No. 5, and he likes the look of No. 6, and he doesn't know WHICH to
jump down into. So there he sits astride, silly fellow, dangling
his legs, one on each side of the fence!

Now I am going to give you a much harder one to make out. What
does this mean?


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This is clearly a DOUBLE Proposition. It tells us not only that
"some x are y," but also the "no x are NOT y." Hence the result
is "ALL x are y," i.e. "all new Cakes are nice", which is the last
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