Represent the following sentence as a propositional expressi

Represent the following sentence as a propositional expression using the given variables.

Sentence: James is a singer, but not a classical singer.

Variables:

P: James is a singer

Q: James is a classical singer

Use De Morgan’s Laws to write the negation of the expression, and translate the negation to English.

Solution

using ~ as the negation operator, \'and\' for conjuction, \'or\' for disjunction. Please replace them with actual charcacters like ^ for \'and\'

S = P and (~Q)                     

~S = (~P) or Q

Negation :    James is not a singer or James is a classical singer