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5 Categorical Syllogisms. 5.3 Rules and Fallacies. Categorical Syllogisms. There are 5 rules for and 5 corresponding fallacies that beset categorical syllogisms. They are: The middle term must be distributed at least once ( fallacy: Undistributed Middle ) All Tacos are Messy things

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5 categorical syllogisms

5 Categorical Syllogisms

5.3 Rules and Fallacies

categorical syllogisms
Categorical Syllogisms

There are 5 rules for and 5 corresponding fallacies that beset categorical syllogisms. They are:

  • The middle term must be distributed at least once (fallacy: Undistributed Middle)

All Tacos are Messy things

All Sandwiches are Messy things

All Sandwiches are Tacos

All Messy things are Fun

All Tacos are Messy things

All Tacos are Fun

  • If a term is distributed in the conclusion, it must be distributed in a premise (fallacies: illicit major or illicit minor)
  • Two negative premises are not allowed (fallacy: Exclusive premises)
  • A negative premise requires a negative conclusion, and a negative conclusion requires a negative premise (fallacies: Drawing an affirmative conclusion from a negative premise or Drawing a negative conclusion from affirmative premises)
  • If both premises are universal, the conclusion cannot be particular (fallacy: existential fallacy)

T

T

S

F

M

M

testing syllogisms by rule
Testing Syllogisms by Rule

Construct these syllogisms and test:

IAI-2

EIO-1

IEO-1

EOO-4

AII-3

AAI-4

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