Categorical Syllogisms

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Presentation Description

Some examples of categorical syllogisms and how to evaluate their validity according to the five rules.

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Some M are P All S are M ______________ Some S are P:

Some M are P All S are M ______________ Some S are P Invalid undistributed middle

All X are Y All Z are X ______________ All Z are Y:

All X are Y All Z are X ______________ All Z are Y valid

Some Q are not P No S are Q ______________ Some S are not P:

Some Q are not P No S are Q ______________ Some S are not P Invalid Exclusive premises

All M are P All M are S ______________ All S are P:

All M are P All M are S ______________ All S are P Invalid Illicit minor

Some M are P All M are S ______________ Some S are P:

Some M are P All M are S ______________ Some S are P valid

Some M are P No S are M ______________ Some S are not P:

Some M are P No S are M ______________ Some S are not P Invalid Illicit major

No M are P All S are M ______________ Some S are not P:

No M are P All S are M ______________ Some S are not P Conditionally valid

All M are P All S are M ______________ No S are P:

All M are P All S are M ______________ No S are P Invalid Drawing negative conclusion From affirmative premises

No M are P All S are M ______________ Some S are not P:

No M are P All S are M ______________ Some S are not P Conditionally valid

Some M are P Some M are S ______________ All S are P:

Some M are P Some M are S ______________ All S are P Invalid Undistributed middle

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