1 5 0C H A P T E R 6 ■ P r o p o s i t i o n a l L o g i c- The Democrats will win the election. Therefore, they will win the election
whether they win Idaho or not. (D, I) - The Democrats will win the election. Therefore, they will win the election
whether they win a majority or not. (D, M) - If Bobby moves his queen there, he will lose her. Bobby will not lose his
queen. Therefore, Bobby will not move his queen there. (M, L) - John will play only if the situation is hopeless. But the situation is
hopeless. So John will play. (P, H) - Although Brown will pitch, the Rams will lose. If the Rams lose, their
manager will get fired. So their manager will get fired. (B, L, F) - America will win the Olympics unless China does. China will win the
Olympics unless Germany does. So America will win the Olympics
unless Germany does. (A, R, E) - If you dial 0, you will get the operator. So, if you dial 0 and do not get the
operator, then there is something wrong with the telephone. (D, O, W) - The Democrats will run either Jones or Borg. If Borg runs, they will lose
the South. If Jones runs, they will lose the North. So the Democrats will
lose either the North or the South. (J, B, S, N) - I am going to order either the fish special or the meat special. Either way,
I will get soup. So I’ll get soup. (F, M, S) - The grass will die if it rains too much or it does not rain enough. If it does
not rain enough, it won’t rain too much. If it rains too much, then it won’t
not rain enough. So the grass will die. (D = The grass will die, M = It rains
too much, E = It rains enough.) - If you flip the switch, then the light will go on. But if the light goes on,
then the generator is working. So if you flip the switch, then the generator
is working. (F, L, G) (This example comes from Charles L. Stevenson.)
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