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Fundamentals of First-Order Logic
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Predicate
A predicate is a function that returns a truth value. For example, the predicate P(x) might represent 'x is a prime number'.
Universal Quantification
Universal quantification is denoted by
Existential Quantification
Existential quantification is denoted by
Logical Conjunction
Logical conjunction is denoted by
Logical Disjunction
Logical disjunction is denoted by
Logical Implication
Logical implication is denoted by
Logical Equivalence
Logical equivalence is denoted by
Logical Negation
Logical negation is represented by
Domain of Discourse
The domain of discourse is the set of all objects under consideration for the logical predicates. For example, if the domain is all humans,
Bound and Free Variables
A bound variable is quantified by a logical quantifier, while a free variable is not. In
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