Set Theory And Logic Quiz

11 Questions  I  By Talanti
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Logic Quizzes & Trivia
Quiz for math students

  
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  • 1. 
    A set is:
    • A. 

      Collection of objects

    • B. 

      Well-defined collection of objects

    • C. 

      Elements of the set

    • D. 

      Descriprion

    • E. 

      Collection


  • 2. 
     The symbol  ∈ means:
    • A. 

      Is not an element of

    • B. 

      Is descriprion

    • C. 

      Is an element of

    • D. 

      Does not belong


  • 3. 
    3  ∈{1,3,7}
    • A. 

      True

    • B. 

      False


  • 4. 
    For larger sets:
    • A. 

      The description method is used and it is more convenient

    • B. 

      The description method is not used

    • C. 

      The description method is never used


  • 5. 
    Z = {. . . ,−2,−1, 0, 1, 2, . . .} is the set of integers.
    • A. 

      True

    • B. 

      False


  • 6. 
    N = {0, 1, 2, 3, . . .} is the set of integers.
    • A. 

      True

    • B. 

      False


  • 7. 
    All elements of all the sets under discussion belong to some universal set or universe .
    • A. 

      True

    • B. 

      False


  • 8. 
    The emty set is the set containing no elements .
    • A. 

      True

    • B. 

      False


  • 9. 
    Let A and B be sets. A equals B,written A=B,iff every element of A is also an element of B,and conversely,every element of B is also an element of A.
    • A. 

      True

    • B. 

      False


  • 10. 
    Theorem. There is only one empty set,ie. only two empty sets are equal.
    • A. 

      True

    • B. 

      False


  • 11. 
    Let A and B be sets.Then A=B iff A belongs B
    • A. 

      True

    • B. 

      False


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