Negation statements

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NOT THE SAME AS THE CONTRAPOSITIVE; the contrapositive is the logically equivalent while negation is the logical opposite

Last updated 1:04 PM on 8/30/26
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8 Terms

1
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What is the negation of all? (A → B)

Some A are not B (A ←s→ /B) or (A and /B)

2
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What is the negation of condition statements? (if A, then B)

A can occur and B not occur we could still get A and not get B (A and /B)

3
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What is the negation of some? (A←s→B)

No A are B (A → /B)

4
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What is the negation of most? (A—m→ B)

It is not the case that most A are B or anywhere from none to exactly half of A are B. not(A—m→B)

5
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What is the negation of no? (A → /B)

Some A is B (A ←s→ B)

6
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What is the negation of some A is not B? (A ←s→ /B)

All A are B ( A → B)

7
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How to negate double negative variables? (/A → /B)

Affirm the sufficient and deny the necessary (/A and B)

8
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What is the negation of comparisons (A is better than B)

Just negate the whole sentence: it’s not the case that A is better than B. This means that B could be better than A or B is just as good as A.