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Antilogism and the Validity of Categorical Syllogisms
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This lecture notes discusses the topic "antilogism" and how it is used to determine the validity of arguments in categorical logic.
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Antilogism and the Validity of Categorical SyllogismsAntilogism is another method to test the validity of categorical syllogisms. This test of
validity is a type of indirect proof in which the conclusion of the syllogism to be tested is
replaced by its contradictory. The antilogism of a valid syllogism must meet the three
requirements, namely:
1. There must be two universal propositions and one particular proposition, or two
equations and one inequation.
2. The two universal propositions (two equations) must have a common term
between them which is once negative and once affirmative.
3. The other two terms must appear unchanged in the particular proposition
(inequation).
Let us consider the example below.
Antilogism and the Validity of Categorical Syllogisms
Antilogism is another method to test the validity of categorical syllogisms. This test of
validity is a type of indirect proof in which the conclusion of the syllogism to be tested is
replaced by its contradictory. The antilogism of a valid syllogism must meet the three
requirements, namely:
1. There must be two universal propositions and one particular proposition, or two
equations and one inequation.
2. The two universal propositions (two equations) must have a common term
between them which is once negative and once affirmative.
3. The other two terms must appear unchanged in the particular proposition
(inequation).
Let us consider the example below.
Example 1:
All men are mortal.
All Filipinos are men.
So, all Filipinos are mortal.
How do we determine the validity of the syllogism above using the antilogism method?
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