Exam 5: Categorical Logic: Statements

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On the Traditional Square of Opposition, I and E statements are contraries.

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If "No prestidigitators are masters of illusion" is true, what can be inferred about "All nonprestidigitators are masters of illusion"? Explain.

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The statement "All nonprestidigitators are masters of illusion" cannot be inferred from the statement "No prestidigitators are masters of illusion". The first statement is about prestidigitators, while the second statement is about nonprestidigitators. The fact that no prestidigitators are masters of illusion does not provide any information about the abilities or characteristics of nonprestidigitators. Therefore, we cannot make any inference about nonprestidigitators being masters of illusion based on the given statement.

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 parakeets are birds attracted to shiny objects.

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I, parakeets, birds attracted to shiny objects, particular, affirmative

"Only students with a 3.0 or higher are members of the Tri-Lambda honor society" is a stylistic variant of the standard-form categorical statement

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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." No sailors are navigators. / Some nonnavigators are not nonsailors.

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"Not all lawyers are crooks" is a stylistic variant of "Some lawyers are crooks."

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If "Some alien races are pacifists" is true, what may be inferred about "No alien races are nonpacifists"? Explain.

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If "All Ferengi are entrepreneurs" is true, what may be inferred about "Some entrepreneurs are not non-Ferengi"? Explain.

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A categorical statement is a statement that relates two classes or categories.

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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 rubies are red gems.

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The obverse of "All pigs are intelligent creatures" is

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When two standard-form categorical statements are corresponding, they

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If "All Burmese are Asians" is true, what can be inferred about "Some non-Asians are non-Burmese"?

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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 scientific geniuses are not college graduates.

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The rule of obversion is valid only for E and I statements.

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Put this statement into standard form: Only philosophers know the meaning of life.

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"Some people are never satisfied" is a standard-form O statement.

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Put this statement into standard form: Steve buys nothing but the best for his kids.

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"Some soft drinks are not high-calorie beverages" is a standard-form

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Two statements are logically equivalent if

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