A Student Is Asked to Give the Negation of "All

question 137

Essay

A student is asked to give the negation of "all bananas are ripe."
(a) The student responds "all bananas are not ripe." Explain why the English in the student's response is ambiguous.
(b) Another student says that the negation of the statement is "no bananas are ripe." Explain why this is not correct.
(c) Another student says that the negation of the statement is "some bananas are ripe." Explain why this is not correct.
(d) Give the correct negation.

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Definitions:

Physical Capital

Manufactured productive resources, such as buildings and machines; often referred to simply as “capital.”

Factor Market

A marketplace for the services of a factor of production, such as labor, capital, or land.

Labor

Human effort, whether physical or mental, used in the production of goods and services.

Circular-Flow Diagram

A pictorial scheme of the economy, focusing on the exchange of dollars between households and firms through the market system.