takes an entity or entities in the domain of discourse as input and outputs either True or False.
question: What does a predicate do?, context: A predicate takes an entity or entities in the domain of discourse as input and outputs either True or False. Consider the two sentences "Socrates is a philosopher" and "Plato is a philosopher". In propositional logic, these sentences are viewed as being unrelated and might be denoted, for example, by variables such as p and q. The predicate "is a philosopher" occurs in both sentences, which have a common structure of "a is a philosopher". The variable a is instantiated as "Socrates" in the first sentence and is instantiated as "Plato" in the second sentence. The use of predicates, such as "is a philosopher" in this example, distinguishes first-order logic from propositional logic.[clarification needed]
What does a predicate do?
A predicate takes an entity or entities in the domain of discourse as input and outputs either True or False. Consider the two sentences "Socrates is a philosopher" and "Plato is a philosopher".
A predicate takes an entity or entities in the domain of discourse as input and outputs either True or False. Consider the two sentences "Socrates is a philosopher" and "Plato is a philosopher". In propositional logic, these sentences are viewed as being unrelated and might be denoted, for example, by variables such as p and q. The predicate "is a philosopher" occurs in both sentences, which have a common structure of "a is a philosopher". The variable a is instantiated as "Socrates" in the first sentence and is instantiated as "Plato" in the second sentence. The use of predicates, such as "is a philosopher" in this example, distinguishes first-order logic from propositional logic.[clarification needed]
A predicate <hl> takes an entity or entities in the domain of discourse as input and outputs either True or False. <hl> Consider the two sentences "Socrates is a philosopher" and "Plato is a philosopher".
A predicate <hl> takes an entity or entities in the domain of discourse as input and outputs either True or False. <hl> Consider the two sentences "Socrates is a philosopher" and "Plato is a philosopher". In propositional logic, these sentences are viewed as being unrelated and might be denoted, for example, by variables such as p and q. The predicate "is a philosopher" occurs in both sentences, which have a common structure of "a is a philosopher". The variable a is instantiated as "Socrates" in the first sentence and is instantiated as "Plato" in the second sentence. The use of predicates, such as "is a philosopher" in this example, distinguishes first-order logic from propositional logic.[clarification needed]
<hl> A predicate takes an entity or entities in the domain of discourse as input and outputs either True or False. Consider the two sentences "Socrates is a philosopher" and "Plato is a philosopher". <hl> In propositional logic, these sentences are viewed as being unrelated and might be denoted, for example, by variables such as p and q. The predicate "is a philosopher" occurs in both sentences, which have a common structure of "a is a philosopher". The variable a is instantiated as "Socrates" in the first sentence and is instantiated as "Plato" in the second sentence. The use of predicates, such as "is a philosopher" in this example, distinguishes first-order logic from propositional logic.[clarification needed]