Question

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The kind of symbols for basic syntactic elements of first-order logic are

A. Constant

B. Domain

C. Predicate

D. Temporal

E. Function

Choose the correct answer from the options given below:

  1. B, D only
  2. A, B, C only
  3. A, C, E only
  4. C, D only

Answer (Detailed Solution Below)

Option 3 : A, C, E only

Detailed Solution

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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.

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