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UGC-NET | UGC NET CS 2018 July - II | Question 77

Consider the following English sentence : “Agra and Gwalior are both in India”. A student has written a logical sentence for the above English sentence in First-Order Logic using predicate In(x, y), which means x is in y, as follows : In(Agra, India) w In(Gwalior, India) Which one of the following is correct with respect to the above logical sentence ?

(A)

It is syntactically valid but does not express the meaning of the English sentence.

(B)

It is syntactically valid and expresses the meaning of the English sentence also.

(C)

It is syntactically invalid but expresses the meaning of the English sentence.

(D)

It is syntactically invalid and does not express the meaning of the English sentence.

Answer

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