Exam 5: Categorical Logic: Statements

"Nothing worth doing is an easy thing to do" is a stylistic variant of "No things worth doing are easy things to do."

Name the logical relation that holds between the two categorical statements that follow. In the case of subalternation, indicate which statement is the superaltern and which is the subaltern. If the pair does not exemplify any of the logical relations we have discussed, simply write "None." Some police dogs are not dogs trained to track criminals. / Some police dogs are dogs trained to track criminals.

If "All sesquipedalians are polyglots" is true, what may be validly inferred about "Some nonpolyglots are not sesquipedalians"? Explain.

Name the logical relation that holds between the two categorical statements that follow. In the case of subalternation, indicate which statement is the superaltern and which is the subaltern. If the pair does not exemplify any of the logical relations we have discussed, simply write "None." All lawyers are crooks. / Some crooks are lawyers.

"All Olympic gold winners are outstanding athletes" is a standard-form

Put this statement into standard form: Only members can use the front door.

Name the form of the following categorical statement (A, E, I, or O); identify the subject term and predicate term; and state the quantity and quality: All beverages containing aspartame are known carcinogens.

An immediate inference is when a conclusion can be drawn on the basis of

Put this statement into standard form: If you want to pass this class, then you have to study hard.

Name the logical relation that holds between the two categorical statements that follow. In the case of subalternation, indicate which statement is the superaltern and which is the subaltern. If the pair does not exemplify any of the logical relations we have discussed, simply write "None." All world-renowned chefs are skilled chemists. / No world-renowned chefs are skilled chemists.

On the Traditional Square of Opposition, if "All dogs are mammals" is false, which of the following can be validly inferred?

According to the Traditional Square of Opposition, corresponding A and E statements are

Name the form of the following categorical statement (A, E, I, or O); identify the subject term and predicate term; and state the quantity and quality: Some molecular biologists are Swedish water volleyball team members.

The contrapositive of "All parakeets are budgies" is "All budgies are parakeets."

Put this statement into standard form: Anyone who gets too much sun will get skin cancer.

Name the logical relation that holds between the two categorical statements that follow. In the case of subalternation, indicate which statement is the superaltern and which is the subaltern. If the pair does not exemplify any of the logical relations we have discussed, simply write "None." Some philosophers are not materialists. / Some nonmaterialists are not nonphilosophers.

The quantity of an O statement is

Which of the following statements is necessarily false?

"Sometimes people are very kind" is a standard-form categorical statement.

Name the logical relation that holds between the two categorical statements that follow. In the case of subalternation, indicate which statement is the superaltern and which is the subaltern. If the pair does not exemplify any of the logical relations we have discussed, simply write "None." Some feral felines are friendly cats. / Some friendly cats are feral felines.