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Higher-Order Predicate Logic

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Multiple Choice

In higher-order predicate logic, what is the difference between a first-order and a second-order predicate?

  1. A first-order predicate is a property of an individual, while a second-order predicate is a property of a property.
  2. A first-order predicate is a property of a set, while a second-order predicate is a property of an individual.
  3. A first-order predicate is a property of a relation, while a second-order predicate is a property of a set.
  4. A first-order predicate is a property of a function, while a second-order predicate is a property of a relation.