6C Practice: Diagramming in the Modern Interpretation - Standard-form translations, and using Venn diagrams to determine whether categorical syllogisms are valid or invalid under the modern interpretation

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

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

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

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

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

All M are P.
All S are M.
All S are P.

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

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 whether the following argument is valid or invalid under the modern 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 standard form translation of the following categorical syllogism.

Some buildings are poorly constructed domiciles. Some buildings are architectural nightmares. So some architectural nightmares are poorly constructed domiciles.

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

. Determine whether the following argument is valid or invalid under the modern interpretation.

Some buildings are poorly constructed domiciles. Some buildings are architectural nightmares. So some architectural nightmares are poorly constructed domiciles.

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

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

AEE-2

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

AEE-4

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

AII-3

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

Some 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 or invalid under the modern interpretation.

All M are P.
Some S are M.
Some S are P.

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

No 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 or invalid under the modern interpretation.

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

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

All M are P.
All S are M.
No S are P.

. 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

. 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.

. 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

. 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

. 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

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