There are four types of opposition between categorical propositions: contradictories, contraries, sub-contraries, and sub-alternation. Contradictories have the same subject and predicate terms but differ in quality and quantity, with one being the denial of the other. Contraries differ only in quality but have the same subject and predicate terms and quantity. Sub-contraries differ in quality but have the same subject, predicate, and quantity. Sub-alternation agrees in quality but differs in quantity. Examples of each type of opposition are provided.

1. Presented by Shah Abdul Azeem

3. Opposition
Standard form of categorical proposition having same
subject term and same predicate term but differ from
each other in Quality andQuantity is called
opposition.

4. Four types of Traditional square of
opposition
 Contradictories
 Contraries
 Sub-contraries
 Sub-Altarnation

5. One is the denial or negation of the others
Both cannot be true
Both cannot be false

6. Example of Contradictories
 All Judges are lawyers.
 Some Judges are not lawyers.

7. Two propositions having same subject term and same
predicate term but differ in quality,but same in
quantity.
Both cannot be true but both can be false.

8. Example of contraries
 All poets are dreamers,
 No poets are dreamers.

9. When two propositions having same subject term and
same predicate term and differ in quality but same in
quantity.
Both cannot be false but both can be true.

10. Example of sub-contraries
 Some diamonds are precious stones.
 Some diamonds are not precious stones

11. When two propositions having same subject term and
same predicate term agree in quality but different in
quantity.

12. Example of Sub-Alternation
 All Spiders are eight leged animal.
 Some spiders are eight leged animal
 No whales are fishes
 Some wales are fishes

13. 1) Super-altern
2) Sub-altern

14. It is used for universal proposition

15. It is used for particular proposition

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