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Venn Validity for Categorical Syllogisms

Exercise

Use the Venn test of validity to determine whether the following syllogisms are valid or invalid.

  1. All M is P
    All M is S
    ∴ All S is P

  2. All P is M
    All M is S ∴
    All S is P

  3. All M is P
    Some M is S
    ∴ Some S is P

  4. All P is M
    Some M is S
    ∴ Some S is P

  5. All P is M
    Some S is M
    ∴ Some S is P

  6. All P is M
    Some S is not M
    ∴ Some S is not P

  7. All M is P
    Some S is not M
    ∴ Some S is not P

  8. All M is P
    Some M is not S
    ∴ Some S is not P

  9. No M is P
    Some S is M
    ∴ Some S is not P

  10. No P is M
    Some S is M
    ∴ Some S is not P

  11. No P is M
    Some S is not M
    ∴ Some S is not P

  12. No M is P
    Some S is not M
    ∴ Some S is not P

  13. No P is M
    Some M is not S
    ∴ Some S is not P

  14. No P is M
    No M is S
    ∴ No S is P

  15. No P is M
    All M is S
    ∴ No S is P

  16. No P is M
    All S is M
    ∴ No S is P

  17. All P is M
    No S is M
    ∴ No S is P

  18. All M is P
    No S is M
    ∴ No S is P

  19. Some M is P
    Some M is not S
    ∴ Some S is not P

  20. Some P is M
    Some S is not M
    ∴ Some S is P