If an Argument Has Four Terms, Would It Be Possible

question 149

Multiple Choice

If an argument has four terms, would it be possible (in two dimensions) to create a four-circle Venn diagram, such that every possible relationship among the four terms has its own distinct region?

• A)Yes, because it is always possible to add another term by adding another circle.
• B)Yes, but four is the maximum number of terms that could be represented like this in two dimensions.
• C)Yes, but such an argument would not be a syllogism.
• D)No, although a fourth term could be added if it were represented by a different shape.
• E)No, because there is no possible way (with any shape) to add all possible relationships to a fourth term.

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Definitions:

New York Federal Reserve Bank

A regional bank part of the Federal Reserve System, playing a key role in monitoring and executing monetary policy in the United States.