impressive, I'd like to ask abou stuff like how long it took you and stuff. But in this discussion I'd like to mention that I didn't use any complicated terms, only orthogonal projection (middle school) and perpendicularity (elementary school).
zaknenou
my lazyass had it hard to put correct labels. But judging by how many people ignored the proble an are just scolding me for using AI, fair is fair.
transitive you mean ?
if (PH) is perpendicular to (AH) and n is perpendicular to (AH) ==> it doesn't really follow that (PH) is parallel to n, unlike in 2D geometry. ChatGPT also got the wrong implication at first.
Props to you for being one the few comments who actually understood the problem from my horrible statement/language though.
3 years ago, a university teacher proposed it to me on facebook and added it to "the list", but still didn't go back to
@[email protected] It is a Geogebra drawing I did to reason with the problem, I took a screenshot of the drawing to attached it.
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In the drawing, the labels are different from the problem, but I just made a sphere whose diameter is [AP] (here point P has label A, while A has label A'),
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then constructed the plane using A and two other points of the sphere (C and D in the picture),
I thought like "if that property from 2D geometry holds in 3D then any point in the intersection of plane and the sphere will satisfy the perpendicularity, and thus two of them will do for a counterexample". -
And It is exactly what happened: Using Geogebra's tool of measuring angles it shows that the two points, C and D, that I picked up both satisfy the orthogonality condition (in the picture angle(A,C,A')=90°=angle(A,D,A'), but they can't be both the projection of P, right ? Counterexample! (the hypothesis was that a point on a plane that satisfy that condition is immediately THE projection of the point that isn't on the plane)
Yeah It is not the best thing but I wanted to attach something, and the drawing that I used was the best thing at hand.
ChatGPT is trained based on forum discussions and pretty likely pirated books. If it found the idea in a previously established text it would have answered correctly. That's why I DO think it is representative of what the average good student was taught (not how smart, or good at problem solving they be). What's funny is that after reasoning it found the right answer, which is counter intuitive, since ChatGPT is supposed to be good at retrieving information, not at reasoning!
yeah, I'm starting all over again with university, so hopefully this will be eventually fixed. About the rest of the population though ...
I think it is a shame that I'm a math student in university and needed to verify about such a thing. And if we're talking about people doing physics it might be even worst if they suck like me at 3d geometry.
it seems to be for the better imo
hmm, so someone with bad reputation has a router in the server room allowing them to track the whole path of any message on Telegram ?
hhhh abstract algebra and proof writing courses.