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Exercise 12.3 (2, 3, 4) Using just common sense and your innate ability, complete these syllogisms in such a way that each is valid.
1. All___ are __mammals____2. No mammals are___________.3.So, no______are__mammal___________.
2.1. Some____are pets.2. No_________ are___________.3.So, some____________are not______________.
1.Some cats are_____________________.2. No________________are insects.3.So, some_____________are not____________________
Exercise 12.6 (2, 3, 6, 7, 8, 9) Test these syllogisms for validity using Venn diagrams.
1. All chariot racers are musicians. Some chariot racers are soldiers. Therefore, some musicians are soldiers.Answer: Valid2. All philosopher are lovers of truth. No lovers of truth are closed minded people. Thus, no philosophers are closed minded people.Answer:3. No soldiers are rich. No rich persons are poets. So, no soldier are poets.
4. No logicians are musicians. All musician are artists. Consequently, no artist are logicians.
5. Some politicians are idealistic persons. No idealistic persons are scientists. So, some scientists are not politicians.
6. No scientists are poets, some scientists are logicians. Therefore, some logicians are not poets.
Exercise 12.9 (2, 4, 6, 7, 8, 9) Test these symbolized syllogisms for validity using Venn diagrams.
1.All are B. All are C. so, some are C are B.
2.All are B. No B are C. So, some C are A.
All A are B. because all A are C and all C are B.
4.No A are B. Therefore, some C are B, because no A are C.Answer:5. Some A are B. Some A are C. So, some B are C.
6. Some A are not B, because some A are not C, and all C are B.
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