Question
Download Solution PDFConsider 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) ∨ In(Gwalior, India)
Which one of the following is correct with respect to the above logical sentence?Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven statement is “Agra and Gwalior are both in India”.
Predicate In(x, y) means x is in y.
So,
1) In(Agra, India) – It represents Agra is in India.
2) In(Gwalior, India) – It represents Gwalior is in India.
Given predicate logic means
In(Agra, India) ∨ In(Gwalior, India) : It represents Agra is in India or Gwalior is in India.
It is not representing that both Agra and Gwalior are in India.
So, we can say that It is syntactically valid but does not express the meaning of the English sentence.
Last updated on Jul 21, 2025
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