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Second-Order Predicate Logic

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Multiple Choice

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

  1. A first-order predicate is a property of individuals, while a second-order predicate is a property of properties.
  2. A first-order predicate is a relation between individuals, while a second-order predicate is a relation between properties.
  3. A first-order predicate is a function from individuals to truth values, while a second-order predicate is a function from properties to truth values.
  4. A first-order predicate is a set of individuals, while a second-order predicate is a set of properties.
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