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

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)

https://brainmass.com/philosophy/logic-critical-thinking/truth-values-following-interpretation-178437

#### 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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