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'Not all' lawgic

What is the correct way of translating 'not all' statements into lawgic?
It seems like there are 2 correct answers and I am not sure which one is the correct one to use in LSAT LR section.

For example, from PT 82, "Not all tarantula species have poison fangs."
Should I translate this as /T -> PF (because there are 2 conditional indicators all and not) or as T <->some PF?

Thank you so much!

Comments

  • SamiSami Live Member Sage 7Sage Tutor
    edited August 2018 10789 karma

    Instead of translating it into lawgic, I would suggest just trying to understand what it means to say ""Not all tarantula species have poison fangs."

    For example, If I write a parallel sentence -Not all apples are Red. Would you say then from this sentence I can now say -if something is not an apple its red? So if its a pear, was the sentence above sufficient to conclude now that Pears are red? Similarly, we cannot go from saying:

    "Not all tarantula species have poison fangs."

    to

    translate this as /T -> PF

    What about if I write, not all swans are black. Can we now conclude that some swans are black? I think you would disagree. Similarly, from the sentence above we cannot say,

    T <->some PF

    But if we think about it, "not all" just means there are some that this is not applicable to. So in our case of ""Not all tarantula species have poison fangs", it just means that there are some tarantula species that do not have poison fangs.

    If its helpful for you, see "not all" as the logical opposite of all. I think a lesson that can be really helpful is Advance negation in core curriculum.
    Here is the link: https://7sage.com/lesson/advanced-negate-all-statements/

    Hopefully this helps. Let me know if you have any more question.

  • 1025 karma

    This gave me some trouble as well. I found that "not all" was just as confusing as "must be false EXCEPT."

    J.Y. teaches us to view "must be false EXCEPT" questions as could be true, which is a hell of a lot easier to understand. That said, I made a flashcard for "not all" and wrote on the back "some not," it's just intuitively easier to understand the latter and they are logically equivalent so why not.

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