Predicate is the part of the sentence from which the subject has been removed. Let’s see the sentence, James is a student at MMU. In linguistics, James is the subject, is a student at MMU is the Predicate.
In 202204281244#, however, Predicate (sometime called propositional function or open sentence) is a sentence that contains a finite number of variables and becomes a statement when specific values are substituted for the variables. Let \(P\) be is a student at MMU and \(Q\) be is a student. Both \(P\) and \(Q\) are what we called the predicate symbols. If say the sentences are \(x\) is a student at MMU \(x\) is a student at \(y\) (\(x\) and \(y\) are predicate variables), then it is equivalent to express it in mathematical term \(P(x)\) and \(Q(x, y)\) respectively.
If \(P(x)\) is a predicate and \(x\) has domain \(D\), then the truth set of \(P(x)\), denoted \(\{ x \in D | P(x) \}\), is the set of all elements of \(D\) that make \(P(x)\) true when they are substituted for \(x\).