What Is an Example of a Predicate Statement in Logic? Explanation and Example

Learn what a predicate statement in logic is with a clear example: P(x): x > 5. Understand predicates and propositions in logical expressions.

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A predicate statement in logic expresses a proposition with variables. For instance, in the statement 'P(x): x > 5,' 'P(x)' is the predicate, and 'x > 5' is the proposition describing a property that x must satisfy.

FAQs & Answers

  1. What is a predicate in logic? A predicate in logic is a statement or function that contains variables and expresses a property or relation that those variables satisfy.
  2. How do predicate statements differ from propositions? Predicate statements contain variables and express properties, whereas propositions are statements that are definitively true or false without variables.
  3. Can you give another example of a predicate statement? Yes, an example is Q(y): y is even, where Q(y) is the predicate describing the property that y must be an even number.