All Squares Have Four Sides

question 12

Multiple Choice

All squares have four sides. Some rectangles have four sides. Therefore, some squares are rectangles. This syllogism is:

• A) Valid
• B) Invalid (undistributed middle term, four sides)
• C) Valid, but unsound
• D) Probably valid
• E) Probably invalid

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Definitions:

Predictions

Statements or assertions about what will happen in the future, often based on observation, hypothesis, or statistical analysis.

Heuristic

A mental shortcut or rule of thumb that simplifies decision making, not guaranteed to be optimal, perfect, or rational, but useful for making quick decisions.

Subgoal

A smaller, intermediate objective set as a step towards achieving a larger goal.

Algorithm

A step-by-step procedure or formula for solving a problem.