Consider the sentence below:
There is a country that borders both India and Pakistan.
Which of the following logical expressions express the above sentence correctly when the predicate Country(x) represents that x is a country and Borders(x, y) represents that the countries x and y share the border?

Correct option is A

The statement "There is a country that borders both India and Pakistan" requires a logical representation where:
· c represents a country.
· Country(c): c is a country.
· Border (c, y): c shares a border with y.
Option (a) directly asserts the existence of a country ccc that satisfies the following conditions:
1. c is a country (Country(c)).
2. c borders India (Border (c, India)).
3. c borders Pakistan (Border (c, Pakistan)).
This is the most accurate representation of the given sentence.

Additional Knowledge:
Option (b): Incorrect because it uses brackets incorrectly, implying unnecessary restrictions on c.
Option (c): Incorrect because it introduces an implication (⇒), which is not needed to represent the direct relationship.
Option (d): Incorrect due to improper logical structure and ambiguity in expression.