Chapter 6, Level 2 Self Quiz: CII

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. Determine the correct standard-form categorical syllogism translation. Then use Venn diagrams to determine whether it is valid or invalid under the modern interpretation.

No slowpokes are plodding people. No winners are plodding people. Therefore, no slowpokes are winners.

Let S = slowpokes, P = plodding people, and W = winners

No W are P.
No S are P.
No S are W.
Invalid
correct incorrect

No S are W.
No W are P.
No S are W.
Valid
correct incorrect

No S are W.
No W are P.
No S are P.
Valid
correct incorrect

No S are P.
No P are W.
No W are S.
Invalid
correct incorrect

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. Determine the correct standard-form categorical syllogism translation. Then use Venn diagrams to determine whether it is valid or invalid under the modern interpretation.
Some bugs are prickly creatures. Some bugs are arachnids. So some arachnids are prickly creatures.
Let B = bugs, P = prickly creatures, and A= arachnids.

Some B are P.
Some B are A.
Some A are P.
Invalid
correct incorrect

Some B are A.
Some B are P.
Some P are A.
Invalid
correct incorrect

No B are P.
Some B are A.
All A are P.
Invalid
correct incorrect

Some A are P.
Some P are A.
Some A are P.
Invalid
correct incorrect

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. Determine the correct standard-form categorical syllogism translation. Then use Venn diagrams to determine whether it is valid or invalid under the modern interpretation.
Some ponies are not ungulates. This is because some ponies are lame mammals, and no lame mammals are ungulates.
Let P = ponies, U = ungulates, and L = lame mammals

No U are L.
Some P are L.
Some P are not U.
Valid
correct incorrect

No L are U.
Some P are L.
Some P are not U.
Valid
correct incorrect

Some P are L.
No L are U.
Some P are not U.
Valid
correct incorrect

No L are U.
Some P are L.
Some P are not U.
Invalid
correct incorrect

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. Determine the correct standard-form categorical syllogism translation. Then use Venn diagrams to determine whether it is valid or invalid under the modern interpretation.
Some vegans are not people who tell the truth. So, some people who tell the truth are not genuine people, because some vegans are not genuine people.
Let V = vegans, T = people who tell the truth, and G = genuine people

Some V are not G.
Some V are not T.
Some T are not G.
Valid
correct incorrect

Some T are not G.
Some V are not T.
Some V are not G.
Invalid
correct incorrect

Some V are not G.
Some V are not T.
Some T are not G.
Invalid
correct incorrect

Some V are not G.
Some V are T.
Some T are not G.
Invalid
correct incorrect

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. Determine the correct standard-form categorical syllogism translation. Then use Venn diagrams to determine whether it is valid or invalid under the modern interpretation.
All medical students are night owls. All attending physicians are night owls. Thus, all attending physicians are medical students.
Let M = medical students, N = night owls, and A = attending physicians

All M are N.
All A are N.
All A are M.
Valid
correct incorrect

All A are N.
All M are N.
All A are M.
Valid
correct incorrect

All N are M.
All A are N.
All A are M.
Invalid
correct incorrect

All M are N.
All A are N.
All A are M.
Invalid
correct incorrect