Negation Besides Some and All

haddlepaddle

I am learning about negation but when it comes to the quiz its confusing because the only terms I learned through CC was "some" and "all" to learn how to negate. How do you negate terms besides these such as "if...then" situations?

MIT_2017

I'm really not sure what you're asking. Are you asking how to negate an if-then relationship, as in taking the contrapositive?

BinghamtonDave

The negation of a conditional statement is essentially saying "no" to the relationship. So if the conditional relationship is something like:
If something is a dolphin then it is a mammal
the negation of that statement is:
There exists something that is a dolphin and not a mammal.

Why is this the negation? Because if there was truly a conditional statement (which is a relationship between two statements) then we wouldn't have the sufficient condition and the absence of the necessary condition. If there was truly a conditional relationship any time we had the absence of the necessary condition we would have the absence of the sufficient condition (the contrapositive.)

https://7sage.com/lesson/advanced-negate-all-statements/