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Comment by bachback

1 year ago

what does divided together mean? maybe your question doesn't have a good answer, because the question is not formulated well enough.

14 comments

bachback

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gloosx  1 year ago

That's a classical school question, word-by-word, except multiplication is replaced by division

  • c-fe  1 year ago

    With multiplication the question makes sense due to the commutative property but division does not have that so the question becomes ambiguous... And now I see that the model even points this out.

    • gloosx  1 year ago

      There is no ambiguity, the problem is that three numbers, divided together, without the order specified, must be equal to their sum.

      You can find solutions for a / b / c, or b / c / a, or c / a / b, any combination of them and the solution will be correct according to the problem description.

      Besides, what's does it even has to do with it concluding with confidence: "The fundamental issue is that division tends to make numbers smaller. It's mathematically impossible to find three numbers where these operations result in the same value."?

      3 replies →

    • kaoD  1 year ago

      Does the commutative property change anything here? A, B and C are not constrained in any way to each other, so they can be in whatever order you want anyways...

      Moreover, addition is commutative so it doesn't matter what order the division is in since a/b/c = a+b+c = c+a+b = ...

      So I'd say that the model pointing this out is actually a mistake and it managed to trick you. Classic LLM stuff: spit out wrong stuff in a convincing manner.

  • Fraterkes  1 year ago

    Order doesn't matter with multiplication (eg: (20 * 5) * 2 == (5 * 2) * 20) but it obviously does with division ((20/5)/2 != (2/5)/20) so the question doesn't make sense. It's you making grade-school level mistakes here.

    • gloosx  1 year ago

      The question makes perfect sense. Here it is written in logical language. I'm curious at which point does it stop making sense for you?

        numbers divided together  
    ↓----------↓ 
    ((a / b / c) = a + b + c) ← numbers added together
  | ((a / c / b) = a + b + c)
  | ((b / a / c) = a + b + c)
  | ((b / c / a) = a + b + c)
  | ((c / a / b) = a + b + c)
  | ((c / b / a) = a + b + c)
  | ((a / (b / c)) = a + b + c)
  | ((a / (c / b)) = a + b + c)
  | ((b / (a / c)) = a + b + c)
  | ((b / (c / a)) = a + b + c)
  | ((c / (a / b)) = a + b + c)
  | ((c / (b / a)) = a + b + c) = true

      3 replies →