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Countable and uncountable sets

Bijections with ℕ, Hilbert's Hotel, ℤ and ℚ countable by Cantor's zigzag and ℝ uncountable by the diagonal argument

The Countable and uncountable sets unit belongs to the Section 11 section of Math Mental and has 16 lessons: bijections with ℕ, Hilbert's Hotel, ℤ and ℚ countable by Cantor's zigzag and ℝ uncountable by the diagonal argument.

Practice this unit

Lessons in this unit

  1. Hilbert's Hotel Lesson, 8 questions
  2. Integer at a position Lesson, 8 questions
  3. Position of an integer Lesson, 8 questions
  4. Cantor's zigzag Lesson, 8 questions
  5. Longer diagonals Lesson, 8 questions
  6. Fraction at a position Lesson, 8 questions
  7. Pairs of naturals Lesson, 8 questions
  8. Practice: bijections and zigzag Practice, 10 questions
  9. Diagonal on binary sequences Lesson, 8 questions
  10. Diagonal on decimals Lesson, 8 questions
  11. Why it is off the list Lesson, 8 questions
  12. Countable or not Lesson, 8 questions
  13. More sets Lesson, 8 questions
  14. Comparing cardinalities Lesson, 8 questions
  15. Review: countable and uncountable Practice, 10 questions
  16. Unit test 12 questions

This unit in numbers

13 lessons, 2 practices, and 1 test, with 136 questions in total.

It starts with “Hilbert's Hotel” and ends with “Comparing cardinalities”.

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