6E Practice: Diagramming in the Traditional Interpretation - Determine the correct standard-form translation of categorical syllogisms, and whether they are valid, provisionally valid, or invalid under the traditional interpretation

. Use Venn diagrams to determine whether the following categorical syllogism form is valid, provisionally valid, or invalid under the traditional interpretation.

Some M are not P.
No M are S.
Some S are not P.

. Use a Venn diagram to determine whether the following categorical syllogism form is valid, provisionally valid, or invalid under the traditional interpretation.

All M are P.
No S are M.
Some S are not P.

. Use a Venn diagram to determine whether the following categorical syllogism form is valid, provisionally valid, or invalid under the traditional interpretation.

All M are P.
All S are M.
Some S are not P.

. Choose the Venn diagram that correctly shows that the following standard-form categorical syllogism is provisionally valid under the traditional interpretation.

AAI-3

. Choose the Venn diagram that correctly shows that the following standard-form categorical syllogism is provisionally valid under the traditional interpretation.

EAO-4

. Determine the correct categorical syllogism, standard-form translation of the following argument.

No septic tanks are swimming pools. No sewers are swimming pools. Therefore, some septic tanks are not sewers.

Let S = septic tanks, P = swimming pools, and W = sewers

. Use a Venn diagram to determine whether the following argument is valid or invalid under the traditional interpretation.

No septic tanks are swimming pools. No sewers are swimming pools. Therefore, no septic tanks are sewers.

Let S = septic tanks, P = swimming pools, and W = sewers

. Determine the correct categorical syllogism, standard-form translation of the following argument.

Some buildings are poorly constructed domiciles. No buildings are architectural nightmares. So, some architectural nightmares are poorly constructed domiciles.

Let B = buildings, P = poorly constructed domiciles, and A = architectural nightmares

. Use a Venn diagram to determine whether the following argument is valid or invalid under the traditional interpretation.

Some buildings are poorly constructed domiciles. No buildings are architectural nightmares. So some architectural nightmares are poorly constructed domiciles.

Let B = buildings, P = poorly constructed domiciles, and A = architectural nightmares

. Use Venn diagrams to determine whether the following categorical syllogism form is valid, provisionally valid, or invalid under the traditional interpretation.

No P are M.
No M are S.
Some S are not P.

. Use Venn diagrams to determine whether the following categorical syllogism form is valid, provisionally valid, or invalid under the traditional interpretation.

All M are P.
No M are S.
Some S are not P.

. Use Venn diagrams to determine whether the following categorical syllogism form is valid, provisionally valid, or invalid under the traditional interpretation.

No M are P.
Some S are M.
Some S are not P.

. Use Venn diagrams to determine whether the following categorical syllogism form is valid, provisionally valid, or invalid under the traditional interpretation.

No P are M.
Some M are S.
Some S are P.

. Use Venn diagrams to determine whether the following categorical syllogism form is valid, provisionally valid, or invalid under the traditional interpretation.

No M are P.
No S are M.
Some S are not P.

. Use a Venn diagram to determine whether the following argument is valid or invalid under the traditional interpretation.

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

. Use a Venn diagram to determine whether the following argument is valid or invalid under the traditional interpretation.

Some bugs are prickly creatures. No bugs are arachnids. So some arachnids are prickly creatures.

. Use a Venn diagram to determine whether the following argument is valid or invalid under the traditional interpretation.

Some ponies are not ungulates. This is because some ponies are lame mammals, and no lame mammals are ungulates.

. Use a Venn diagram to determine whether the following argument is valid or invalid under the traditional interpretation.

All medical students are night owls. All attending physicians are night owls. Thus, all attending physicians are medical students.

. Use a Venn diagram to determine whether the following argument is valid or invalid under the traditional interpretation.

All salespeople are indefatigable people. Some salespeople are predators. So, some indefatigable people are predators.

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