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Predicate Logic and Quantifiers

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Multiple Choice

What is the difference between a propositional variable and a predicate variable?

  1. A propositional variable is a variable that can take on the values true or false, while a predicate variable is a variable that can take on the values true or false for a given object.
  2. A propositional variable is a variable that can take on the values true or false, while a predicate variable is a variable that can take on the values true or false for a set of objects.
  3. A propositional variable is a variable that can take on the values true or false, while a predicate variable is a variable that can take on the values true or false for a relation between objects.
  4. A propositional variable is a variable that can take on the values true or false, while a predicate variable is a variable that can take on the values true or false for a function from objects to truth values.