I. Use Venn diagrams to test the validity of the following arguments.
3. All curmudgeons are pessimists. All pessimists are cynics. So, some cynics are
5. No beach bums are workaholics. Some beach bums are rollerbladers. So, some
rollerbladers are not workaholics.
6. All violinists are musicians. Therefore, since some bookworms are violinists, some
bookworms are musicians.
firefighters are not poker players.
8. Some dot-com millionaires are philanthropists. All philanthropists are altruists. Hence,
some altruists are dot-com millionaires.
9. Some telemarketers are Methodists. Some Methodists are Democrats. So, some
Democrats are telemarketers.
wilderness lovers, all wilderness lovers are environmentalists.
are mathematical arguments, some mathematical arguments are not valid arguments.
idealists are dreamers.
some e-traders are couch potatoes.
candlestick makers are not bakers.
some psychics are meteorologists.
II. Translate the following into standard categorical form. Then use Venn diagrams to test the
arguments for validity.
Nobel Prize winners. Therefore, a number of astrophysicists are not rock stars.
2. Many philosophers are determinists. Anyone who is a fatalist is a determinist. So,
many fatalists are philosophers.
3. If anything is a maple, then it's a tree. Hence, because nothing that is a bush is a tree,
nothing that is a bush is a maple.
big spender, Senator Crumley is a liberal.
5. Many tarot readers are lottery players. Every tarot reader is a fraud. So, many frauds
are not lottery players.
6. Only poems are sonnets. No mathematical treatise is a poem. Therefore, no
mathematical treatise is a sonnet.
lawyers. So, at least one person who has attended law school is not a golfer.
8. No one who is a cardsharp is a psychic. Someone is a cardsharp only if he is a poker
player. Therefore, some poker players are not psychics.
9. Whatever is a fish is a nonmammal. Each pickerel is a fish. So, no pickerel is a
favor campaign finance reform. Accordingly, many persons who favor campaign finance
reform are social scientists.
a single sweatshop owner is an egoist.
are e-mail messages. Therefore, there are interoffice memos that are not spell-checked.
is a model citizen, no one who is a model citizen is a tax evader.
that there are Mazdas that are not cars.
Consequently, at least one mystic is not greedy.
talks on a car phone is an irresponsible person. Hence, not every person who talks on a car
phone is a person who drinks and drives.
risk for heart disease are cab drivers. So, some cab drivers are people who eat pizza every
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