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Negation Besides Some and All

haddlepaddlehaddlepaddle Member
in Logical Reasoning 22 karma

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?

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  • MIT_2017MIT_2017 Alum Member
    470 karma

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

  • BinghamtonDaveBinghamtonDave Alum Member ⭐ 🍌🍌
    edited July 2019 8700 karma

    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/

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