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# truth-values of a-c on the following interpretation.

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5. Determine the truth-values of a-c on the following interpretation.

UD: Set of U.S. cities
Bxyz: x is between y and z
n: New York City
c: Chicago
s: San Francisco

a. Bnsc v Bsnc
b. (Ax)Bxcs > (Ex) ~ Bxcs
c. (Ax)(~ Bxsc = Bscn)

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#### Solution Preview

(I assume that 'between' refers to a west-east direction rather than (e.g.) a north-south direction.)

a. Bnsc v Bsnc

NY is between San Fran. and Chicago, or, San F. is between NY and Chicago
Truth-value = False. (Both disjuncts are false.)

b. (Ax)Bxcs > (Ex) ~ Bxcs

If every U.S. city is between Chicago and ...

#### Solution Summary

This job determines the truth-values of a-c on the following interpretation.

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