Exam 6: Categorical Logic: Syllogisms

According to modern logicians, "All elves are people with infrared vision" is equivalent to "If anything is an elf, then it is a person with infrared vision."

The only requirement when removing term complements is that the changes we make to each statement must produce a logically equivalent statement.

Aristotelian and modern logicians agree that universal categorical statements have existential import.

When removing term-complements, which of the following is not a permissible change?

The Venn diagram representation of "No sailors are pirates" is which of the following?

The mood of a standard-form categorical syllogism whose major premise is universal affirmative, minor premise is particular affirmative, and conclusion is particular affirmative would be

Rewrite the following argument as a standard-form categorical syllogism; then identify its mood and figure: All patriotic citizens are mindless followers of the government, and all soldiers are mindless followers of the government, so all soldiers are patriotic citizens.

In a standard form sorites, the subject term of the conclusion must occur in the first premise.

A categorical statement has existential import if and only if

Any categorical syllogism with two affirmative premises is valid.

The following categorical argument form has more than three terms: "No non-M are P. Some S are non-M. So, no S are non-P." Reduce the terms to three by removing term-complements via applications of conversion, obversion, and/or contraposition.

A fallacy of illicit minor is a violation of which of the following rules for evaluating categorical syllogisms? In a valid standard-form categorical syllogism¼

Rewrite the following argument as a standard-form categorical syllogism; then identify its mood and figure: Since some science professors are absent-minded persons and all philosophers are absent-minded persons, some scientists are not philosophers.

The following categorical argument form has more than three terms: "All non-P are M. Some S are non-M. So, no non-S are P." Reduce the terms to three by removing term-complements via applications of conversion, obversion, and/or contraposition.

Which of the following immediate inferences is invalid according to modern categorical logic?

Which of the five rules for evaluating syllogisms can you use to determine whether the following form is valid? All M are P. No S are M. So, no S are P.

Put the following categorical syllogism into standard form and identify its mood and figure. All professional wrestlers are good actors, because some good actors are not powerful athletes and all professional wrestlers are powerful athletes.

Put the following categorical syllogism into standard form and identify its mood and figure. No tragic actors are idiots. But some comedians are not idiots. So, some comedians are not tragic actors.

A term is distributed in a statement when

Rewrite the following argument as a standard-form categorical syllogism; then identify its mood and figure: No knights are shrubberies, since no shrubberies are jousters and all jousters are knights.