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Chapter 3: Problem 28

Write the negation of each statement. This course covers logic or statistics.

Short Answer

Expert verified
The negation of the given proposition is 'This course does not cover logic and this course does not cover statistics.'

Step by step solution

01

Identify the Composition of the Statement

The given proposition is 'This course covers logic or statistics.' The statement is a disjunction composed of two simple statements: 'This course covers logic' and 'This course covers statistics.'
02

Negate Each Simple Statement

The negation of 'This course covers logic' is 'This course does not cover logic.' Similarly, the negation of 'This course covers statistics' is 'This course does not cover statistics.'
03

Form the Negation of the Disjunction

The negation of an 'or' statement is an 'and' statement with both conditions negated. Putting together the two negations gives the negated statement: 'This course does not cover logic and this course does not cover statistics.'

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Most popular questions from this chapter

This is an excerpt from a 1967 speech in the U.S. House of Representatives by Representative Adam Clayton Powell: He who is without sin should cast the first stone. There is no one here who does not have a skeleton in his closet. I know, and I know them by name. Powell's argument can be expressed as follows: No sinner is one who should cast the first stone. All people here are sinners. Therefore, no person here is one who should cast the first stone. Use an Euler diagram to determine whether the argument is valid or invalid.

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Use the standard forms of valid arguments to draw a valid conclusion from the given premises. If I vacation in Paris, I eat French pastries. If I eat French pastries, I gain weight. Therefore, ...
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