Venn Validity for Categorical Syllogisms
Completion requirements
Read this section on Venn diagrams, which will help you use Venn diagrams to test the validity of whole categorical syllogisms rather than only categorical inferences. Read the section and identify the categories in every statement of the syllogisms as you go, making your own Venn diagrams to test the validity, as directed.
Complete the exercise, checking your validity answers against the key.
Exercise
Use the Venn test of validity to determine whether the
following syllogisms are valid or invalid.
- All M is P
All M is S
∴ All S is P - All P is M
All M is S ∴
All S is P - All M is P
Some M is S
∴ Some S is P - All P is M
Some M is S
∴ Some S is P - All P is M
Some S is M
∴ Some S is P - All P is M
Some S is not M
∴ Some S is not P - All M is P
Some S is not M
∴ Some S is not P - All M is P
Some M is not S
∴ Some S is not P - No M is P
Some S is M
∴ Some S is not P - No P is M
Some S is M
∴ Some S is not P - No P is M
Some S is not M
∴ Some S is not P - No M is P
Some S is not M
∴ Some S is not P - No P is M
Some M is not S
∴ Some S is not P - No P is M
No M is S
∴ No S is P - No P is M
All M is S
∴ No S is P - No P is M
All S is M
∴ No S is P - All P is M
No S is M
∴ No S is P - All M is P
No S is M
∴ No S is P - Some M is P
Some M is not S
∴ Some S is not P - Some P is M
Some S is not M
∴ Some S is P