Solution

The correct answer is 3) A, C, E only.

Key Points

• First-order logic includes several basic syntactic elements that are essential for its formulation and interpretation.
• The correct symbols involved are:
  • Constant (A): Represents specific objects in the domain of discourse.
  • Predicate (C): Represents properties of objects or relationships between objects in the domain.
  • Function (E): Represents mappings from tuples of objects to objects within the domain.

Additional Information

• Domain (B) is not a symbol but rather the set of all objects under consideration in a particular interpretation.
• Temporal (D) is related to temporal logic, not first-order logic, and involves time-dependent statements.
• First-order logic is also known as predicate logic or first-order predicate calculus.
• It is a formal system used in mathematics, philosophy, linguistics, and computer science.