Practice - Claim 2
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Practice Questions
Test your understanding with targeted questions
Define the term 'cardinality'.
💡 Hint: It's about counting elements.
How many elements are in the set of positive integers?
💡 Hint: Think about the positive integers themselves.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does cardinality refer to?
💡 Hint: It's about counting how many items are there.
True or False: All infinite sets have the same cardinality.
💡 Hint: Think about the countable versus uncountable expanses.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that the set of all rational numbers cannot be uncountable.
💡 Hint: Remember, rational numbers can be expressed in m/n format.
Show that the union of countable sets is countable using diagonalization.
💡 Hint: Check how elements can be indexed systematically.
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