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Questions and Answers
What is the name of the theorem that states that for any two sets, there exists a one-to-one correspondence between the set and its power set?
What is the name of the theorem that states that for any two sets, there exists a one-to-one correspondence between the set and its power set?
- The Well-Ordering Principle
- The Power Set theorem
- Schroeder-Bernstein theorem
- Cantor's diagonal argument (correct)
Which of the following is a property of an equivalence relation?
Which of the following is a property of an equivalence relation?
- Irreflexivity, symmetry, and transitivity
- Reflexivity, asymmetry, and transitivity
- Reflexivity, symmetry, and transitivity (correct)
- Irreflexivity, asymmetry, and transitivity
Which of the following is NOT an algebraic structure with one binary operation?
Which of the following is NOT an algebraic structure with one binary operation?
- Fields
- Monoids
- Groups
- Semi-groups
What is the well-ordering principle in mathematical induction?
What is the well-ordering principle in mathematical induction?
Which of the following is true about bijective functions?
Which of the following is true about bijective functions?
What is the Division algorithm used for?
What is the Division algorithm used for?
What is the size of the power set of a set with n elements?
What is the size of the power set of a set with n elements?
What is the power set theorem?
What is the power set theorem?
What is the Power Set theorem?
What is the Power Set theorem?
What is the difference between a monoid and a group?
What is the difference between a monoid and a group?
What is the Euclidean algorithm used for?
What is the Euclidean algorithm used for?
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