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1.2. Applications of Mathematical Logic

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  1. 1.

    Define a proposition and provide an example.

    Hint

    Think of a statement that can clearly be true or false.

  2. 2.

    What is a logical operator? Give an example.

    Hint

    Consider common terms like AND or OR.

  3. 3.

    What is a proposition?

    • A variable
    • An uncertain statement
    • A statement that is either true or false
    Hint

    Consider statements that can be verified.

  4. 4.

    True or False: A conjunction is true if either p or q is true.

    • True
    • False
    Hint

    Review the truth tables.

  5. 5.

    Given the propositions p: 'It is raining' and q: 'I will carry an umbrella,' construct a truth table for p → q and interpret the results.

    Hint

    Think about conditional promises in daily life.

  6. 6.

    Using mathematical logic, show how to verify a simple program using truth tables.

    Hint

    Choose a basic program like checking if a number is even or odd.

Exercises

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

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Quiz

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

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Challenge Problems

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting