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1. |
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. |
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A. |
detachment reasoning |
B. |
deductive reasoning |
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C. |
reasonable doubt |
D. |
inductive reasoning |
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Hint |
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2. |
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral. |
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A. |
If an object is a square, then it is an equilateral. |
B. |
If an object is an equilateral, then it is a square. |
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C. |
An object is a rhombus. |
D. |
An object is a square. |
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Hint |
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3. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
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A. |
If the numbers 8 and 24 are even, then their sum is 32. |
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B. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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C. |
The sum of 8 and 24 must be odd. |
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D. |
The sum of 8 and 24 must be even. |
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Hint |
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4. |
Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. |
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A. |
WXYZ has four right angles. |
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B. |
If WXYZ has four right angles, then it is a square. |
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C. |
If WXYZ is not a square, then it has four right angles. |
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D. |
If WXYZ is not a square, then it does not have four right angles. |
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Hint |
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5. |
''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion. |
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A. |
The result of doubling 317 is an even number. |
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B. |
When you triple a number, the result must be an even number. |
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C. |
If you double an odd number, the result is another odd number. |
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D. |
The result of doubling 234 is an odd number. |
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Hint |
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