Reference no: EM133549492

True or False

Use your knowledge of the rules for valid categorical syllogisms to determine which, if any, of the following statements are true. Check all that apply.

1. If a categorical syllogism commits the existential fallacy from the Boolean standpoint but commits no other fallacy, then, in order to be valid from the Aristotelian standpoint, its critical term must denote something that actually exists.

2. If a categorical syllogism has two negative premises, then it commits the fallacy of exclusive premises.

3. Some categorical syllogisms that are invalid from the Boolean standpoint are nonetheless valid from the Aristotelian standpoint.

4. In order to be valid from an Aristotelian standpoint, all of a categorical syllogism's terms must denote things that actually exist.

5. A categorical syllogism is valid as long as it obeys a majority of the validity rules.

6. If a categorical syllogism violates any one of the validity rules, then it is invalid from the Boolean standpoint.

7. If a categorical syllogism has a negative conclusion but neither of its premises is negative, then the syllogism commits the fallacy of drawing a negative conclusion from affirmative premises.

8. ?A valid categorical syllogism may have two E statements as premises.

9. For all valid categorical syllogisms, if the major term is distributed in the premises, then it must also be distributed in conclusion.

10. If the conclusion of a categorical syllogism is a statement of type 0, then you know that the minor term of the syllogism will be distributed in the conclusion.

11. Some valid categorical syllogisms have an affirmative conclusion and a negative premise.

12. In a statement of type A, the predicate term is distributed.

13. If the minor term is distributed in the conclusion of a categorical syllogism but is not distributed in one of the premises, then the syllogism commits the fallacy of illicit major.

14. If the major term is distributed in the conclusion of a categorical syllogism, but it is not distributed in one of the premises, then the syllogism commits the fallacy of illicit major.

15. ??In a statement of type I, neither the subject term nor the predicate term is distributed.