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solution

A logician drives into a drive-in restaurant and says, ‘‘I want a hamburger or a hot dog and french fries.’’ Unfortunately, the cook flunked out of sixth grade and does not know (or care) whether ‘‘and’’ has precedence over ‘‘or.’’ As far as he is concerned, one interpretation is as good as the other. Which of the following cases are valid interpretations of the order? (Note that in English ‘‘or’’ means ‘‘exclusive or.’’) a. Just a hamburger.

b. Just a hot dog.

 c. Just french fries.

d. A hot dog and french fries.

 e. A hamburger and french fries.

 f. A hot dog and a hamburger.

g. All three.

h. Nothing—the logician goes hungry for being a wiseguy.

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