A logician drives into a drive-in restaurant and says, â€˜â€˜I want a hamburger or a hot dog and french fries.â€™â€™ Unfortunately, the cook flunked out of sixth grade and does not know (or care) whether â€˜â€˜andâ€™â€™ has precedence over â€˜â€˜or.â€™â€™ 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 â€˜â€˜orâ€™â€™ means â€˜â€˜exclusive or.â€™â€™) a. Just a hamburger.
b. Just a hot dog.
Â c. Just french fries.
d. A hot dog and french fries.
Â e. A hamburger and french fries.
Â f. A hot dog and a hamburger.
g. All three.
h. Nothingâ€”the logician goes hungry for being a wiseguy.