Hacker News new | ask | show | jobs
by wanderer2323 562 days ago
Easy, from my recent chat with o1: (Asked about left null space)

‘’’ these are the vectors that when viewed as linear functionals, annihilate every column of A . <…> Another way to view it: these are the vectors orthogonal to the row space. ‘’’

It’s quite obvious that vectors that “annihilate the columns” would be orthogonal to the column space not the row space.

I don’t know if you think o1 is magic. It still hallucinates, just less often and less obvious.

1 comments

average humans don't know what "column spaces" are or what "orthogonal" means
Average humans don't (usually) confidently give you answers to questions they do now know the meaning of. Nor would you ask them.
Ah hum. The discriminant is whether they know that they don't know. If they don't, they will happily spit out whatever comes to their mind.
Sure average humans don’t do that, but this is hackernews where it’s completely normal for commenters to confidently answer questions and opine on topics they know absolutely nothing about.
And why would the "average human" count?!

"Support, the calculator gave a bad result for 345987*14569" // "Yes, well, also your average human would"

...That why we do not ask "average humans"!

"On two occasions I have been asked, 'Pray, Mr. Babbage, if you put into the machine wrong figures, will the right answers come out?' I am not able rightly to apprehend the kind of confusion of ideas that could provoke such a question."

So the result might not necessarily be bad, it's just that the machine _can_ detect that you entered the wrong figures! By the way, the answer is 7.

average human matters here because the OP said

> Can you please give an example of a “completely illogical statement” produced by o1 model? I suspect it would be easier to get an average human to produce an illogical statement.

> because the OP said

And the whole point is nonsensical. If you discussed whether it would be ethically acceptable to canaries it would make more sense.

"The database is losing records...!" // "Also people forget." : that remains not a good point.

Because the cost competitive alternative to llms are often just ordinary humans
Following the trail as you did originally: you do not hire "ordinary humans", you hire "good ones for the job"; going for a "cost competitive" bargain can be suicidal in private enterprise and criminal in public ones.

Sticking instead to the core matter: the architecture is faulty, unsatisfactory by design, and must be fixed. We are playing with the partials of research and getting some results, even some useful tools, but the idea that this is not the real thing must be clear - also since this two years plus old boom brought another horribly ugly cultural degradation ("spitting out prejudice as normal").