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Higher-Order Predicate Logic

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

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A
A first-order predicate is a property of an individual, while a second-order predicate is a property of a property.
💡 Explanation:

In higher-order predicate logic, a first-order predicate is a property of an individual, while a second-order predicate is a property of a property. This means that a second-order predicate can be used to talk about the properties of properties, such as whether a property is true or false, or whether it is necessary or possible.

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