On Sat, Apr 01, 2023 at 08:18:08AM +0200, Aloïs Cochard wrote:
How can this be useful when you have to anyway review everything is doing
as he might to just randomly insert a bug or a security flaw???
I prefer to read poems by my human friends.
I highly recommend starting reading this paper at page 128 instead of
wasting your time on that prompt:
https://arxiv.org/pdf/2303.12712.pdf
Be ready for a good laughhi
Part of the good laugh is on page 136:
Let P be a point on the hyperbola
x^2 + 3xy + 4x − 5y = −9y^2 − 133.
Find the shortest possible distance from the origin to P.
The authors of the paper say that "GPT-4 produces a sound argument",
I beg to differ.
Let u = 3y, then
x^2 + xu + u^2 + 4x − (5/3)u = − 133.
The degree-two part of which is positive-definite. The linear terms
just shift the origin. So the equation is actually:
r^2 + rs + s^2 = RHS
For a straight-forward to compute choice of r = x - a, s = u - b.
There are then two issues (just the first one is enough) with the prompt:
* The equation can't represent a hyperbola, it would be an ellipse.
* The ellipse doesn't exist, because the RHS constant is actually negative.
THe authors are just as prone to autopilot nonsense reasoning as GPT-4.
This rather reminds me of:
https://math.stackexchange.com/questions/1594740/v-i-arnold-says-russian-students-cant-solve-this-problem-but-american-student--
Viktor.
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