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9.4.1. First Expression Analysis

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    3 cards from this lesson. Good the night before a test.

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  1. 1.

    What does orall x, P(x) signify in predicate logic?

    Hint

    Think about how you might express 'every' in logical symbolism.

  2. 2.

    Translate the statement 'Some cats are black' into predicate logic.

    Hint

    Focus on how you can express 'some' in logic.

  3. 3.

    What does the expression orall x, S(x) \rightarrow C(x) mean?

    • Some students in CS201 study calculus
    • All students in CS201 study calculus
    • No students in CS201 study calculus
    Hint

    Think about the difference between 'some' and 'all'.

  4. 4.

    Convert the statement 'Anyone who lectures in CS201 knows predicate logic' into a logical expression.

    Hint

    Follow the structure of a conditional statement.

  5. 5.

    Given the expression S(x)→C(x)S(x) \rightarrow C(x), derive a meaningful real-world statement about course enrollment and study habits.

    Hint

    Consider the common motivations for students who enroll in courses.

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

1

Estimated Time

2 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