Week 5 Quiz

In the categorical form "Some S are P", what does the word "some" mean?

Select one.

• At least one
• Some but not all
• Most, but not every one
• A few, fewer than half

Which name belongs to the categorical form "No S are P"?

Select one.

• The universal affirmative
• The particular negative
• The universal negative
• The particular affirmative

A student club's rule (illustrative) says: "Only members may vote." Which categorical form says the same thing?

Select one.

• All members are voters.
• All voters are members.
• No voters are members.
• Some members are not voters.

A store's refund desk (illustrative) says: "Not every return is refunded in cash." Which categorical form says the same thing?

Select one.

• No returns are cash refunds.
• All returns are cash refunds.
• Some cash refunds are not returns.
• Some returns are not cash refunds.

Syllogism (illustrative): "All tutors passed the course. Some first-year students are tutors. So some first-year students passed the course." Which term is the middle term?

Select one.

• First-year students
• Tutors
• People who passed the course

Syllogism (illustrative): "All poodles are dogs. All beagles are dogs. So all poodles are beagles." Which verdict does the Venn test give?

Select one.

• Valid, because both premises place their group inside the same dog circle.
• Invalid, because the premise "All beagles are dogs" turns out to be false.
• Invalid, because the region of poodles that are not beagles is left unshaded.
• Valid, because every region outside the dog circle ends up shaded.

In the Venn test of "All tutors passed the course. Some first-year students are tutors. So some first-year students passed the course" (illustrative), the part of the tutor circle outside the passed circle is shaded first. Where does the X for the second premise go?

Select one.

• In the region inside all three circles
• In the first-year-and-tutor region outside the passed circle
• On the line of the passed circle, since its side is unsettled
• In the region outside all three circles

Syllogism (illustrative): "All nurses are trained in first aid. No lifeguards are nurses. So no lifeguards are trained in first aid." Which region do the premises leave unshaded, making the syllogism invalid?

Select one.

• Nurses who are lifeguards
• Nurses who are not trained in first aid
• People trained in first aid who are neither nurses nor lifeguards
• Lifeguards trained in first aid who are not nurses

In a Venn diagram used to test a syllogism, what does an X in a region tell you?

Select one.

• Exactly one thing sits in that region.
• At least one thing sits in that region.
• Most of the group sits in that region.
• That region is empty.

A three-circle Venn diagram tests a syllogism with three terms. Each region is either inside or outside each of the three circles. How many regions does the diagram have, counting the region outside all three circles?

Select one.

• 3 regions
• 6 regions
• 8 regions
• 9 regions