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Lawgic Question

Abset710Abset710 Alum Member
edited October 2015 in General 33 karma
Hello everybody,

I was wondering if anybody could help clarify something for me. I am a little confused about diagramming the sentences with two "if (or unless)". How could I translate the following sentence into the formal lawgic?

"no plant is worth growing unless it bears fruit"

I tried this way " - bears fuits ----> (P ---> - WG) " but this structure is not helpful.

Is it okay to translate this into either one of the following?
" -bears fruits ---> P ---> --WG" or " - bears fruits + P ---> - WG"

Can anyone shed some light on this?

P.S: Please helpe me with the next one too
"New investment that takes place while interest rates are falling cannot lead to the huge growth"

Comments

  • harrismeganharrismegan Member
    2074 karma
    Plant WG ----> BF
  • GSU HopefulGSU Hopeful Core
    1644 karma
    For the second second sentence, I would diagram it NI ---> /HG.

    The "that takes place while interest rates are falling" is the modifier explaining what kind of new investments we are talking about. Cannot is group four (negate, necessary) which leads to the negation of the "huge growth."

    I might be wrong, but this is how I did it.
  • Alex ShortAlex Short Alum Member
    112 karma
    No plant is worth growing unless it bears fruit.

    So this unless statement is pretty simple - the sufficient condition (WG) is already negated with "No...", so you end up with the same translation as though you had "If a plant is worth growing, then it bears fruit":

    WG -> BF
    ~BF -> ~WG
  • c.janson35c.janson35 Free Trial Inactive Sage Inactive ⭐
    2398 karma
    In general, I think that it is easiest to remember that you can replace "unless" in a sentence with "if not" and keep the same logical meaning.

    "I will go to the beach unless it rains"

    "I will go to the beach if not it rains" or "I will go to the beach if it doesn't rain"

    Then it's simple to diagram:
    /R-->B
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