SETS THEORY

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Across
  1. 2. – A mathematical statement having a definite truth value.
  2. 3. – A proposition that is always true.
  3. 6. – A logical operation representing “AND”.
  4. 8. – A set containing a limited number of elements.
  5. 9. DIFFERENCE – The elements belonging to one set but not another.
  6. 11. – A well-defined collection of distinct objects.
  7. 12. – A statement expressed in the form “if...then”.
  8. 14. – A set having a fixed upper and lower limit.
  9. 21. – A principle used to count elements of overlapping sets without double-counting.
  10. 25. – A set that does not have a finite number of elements.
  11. 26. – A set containing exactly one element.
  12. 27. SET – A set containing no elements.
  13. 29. – A logical operation representing “OR”.
  14. 30. – Sets having no elements in common.
Down
  1. 1. – An argument used to prove that some infinite sets are uncountable.
  2. 4. – A set that cannot be matched one-to-one with natural numbers.
  3. 5. – A set whose elements can be matched with natural numbers.
  4. 7. – A proof method using a base case and an inductive step.
  5. 10. – A statement accepted as true without proof.
  6. 13. – A proposition that is always false.
  7. 15. – A set in which every element is also contained in another set.
  8. 16. – A statement expressed using “if and only if”.
  9. 17. TABLE – A table showing truth values for all possible combinations.
  10. 18. SET – A set containing all objects under consideration.
  11. 19. – The set containing elements common to two sets.
  12. 20. SET – The set containing all subsets of a given set.
  13. 22. – A set having no fixed upper or lower limit.
  14. 23. – A proposition that is sometimes true and sometimes false.
  15. 24. – The number of elements in a set.
  16. 28. – The set formed by combining the elements of two sets.