Incorrect Negation, Incorrect Reversal, and the Contrapositive

studied byStudied by 0 people
0.0(0)
learn
LearnA personalized and smart learning plan
exam
Practice TestTake a test on your terms and definitions
spaced repetition
Spaced RepetitionScientifically backed study method
heart puzzle
Matching GameHow quick can you match all your cards?
flashcards
FlashcardsStudy terms and definitions
Get a hint
Hint

An Incorrect negation (IN) is when you

Get a hint
Hint

take a conditional statement and simply negate both the sufficient and necessary conditions.

Get a hint
Hint

An Incorrect reversal (IR) is when you

Get a hint
Hint

Swap the sufficient and necessary conditions in a conditional statement

1 / 5

encourage image

There's no tags or description

Looks like no one added any tags here yet for you.

6 Terms

1

An Incorrect negation (IN) is when you

take a conditional statement and simply negate both the sufficient and necessary conditions.

New cards
2

An Incorrect reversal (IR) is when you

Swap the sufficient and necessary conditions in a conditional statement

New cards
3

A contrapositive (valid) is when you

Swap the sufficient and necessary condition in a conditional statement AND you negate both of them.

New cards
4

Example of Incorrect Reversal

If I am in Los Angeles then I am in California (LA→CA)


If I am in California then I am in Los Angeles

(CA→LA)

THIS IS AN IR OF THE TOP STATEMENT. This does not work because you can be in California but not necessarily in LA.

New cards
5

Example of Incorrect Negation

If I am in Los Angeles then I am in California (LA→CA)


If I am not in Los Angeles then I am not in California

(~LA → ~CA)

THIS IS AN IN OF THE TOP STATEMENT. It does not work because you could be in a city that is not LA and still be in California

New cards
6

Contrapositive example

If I am in Los Angeles then I am in California (LA→CA)


If I am not in California then I am not in Los Angeles

(~CA → ~LA )

THIS IS A CONTRAPOSITIVE OF THE FIRST STATEMENT. This works because if you are not in California, there is no way you can be in Los Angeles. This worked because instead of just negating or just swapping the sufficient and necessary conditions, we did BOTH.

New cards

Explore top notes

note Note
studied byStudied by 46 people
794 days ago
4.3(3)
note Note
studied byStudied by 14 people
908 days ago
5.0(1)
note Note
studied byStudied by 19 people
831 days ago
5.0(1)
note Note
studied byStudied by 11 people
846 days ago
5.0(1)
note Note
studied byStudied by 10 people
878 days ago
5.0(1)
note Note
studied byStudied by 3 people
60 days ago
5.0(1)
note Note
studied byStudied by 8 people
902 days ago
5.0(1)
note Note
studied byStudied by 1520 people
964 days ago
4.5(12)

Explore top flashcards

flashcards Flashcard (35)
studied byStudied by 15 people
704 days ago
5.0(4)
flashcards Flashcard (78)
studied byStudied by 12 people
327 days ago
5.0(1)
flashcards Flashcard (28)
studied byStudied by 36 people
350 days ago
5.0(1)
flashcards Flashcard (81)
studied byStudied by 3 people
765 days ago
5.0(1)
flashcards Flashcard (329)
studied byStudied by 59 people
312 days ago
5.0(1)
flashcards Flashcard (88)
studied byStudied by 3 people
20 days ago
5.0(1)
flashcards Flashcard (24)
studied byStudied by 4 people
760 days ago
5.0(1)
flashcards Flashcard (244)
studied byStudied by 43 people
279 days ago
5.0(1)
robot