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Chinjut
searching PlanetScale…
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13 ms
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181.
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Chinjut
2y ago
Again, it's not clear to me that if you asked 1950s mathematicians to look at math journals in the 1950s, they would react very differently. You haven't presented any evidence of this. It's certainly true that math is a more
182.
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Chinjut
2y ago
Is the test about ability to understand or about finding it very interesting? Of course it's easier to understand what has already become old hat and popularized in the field.
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Chinjut
2y ago
The article suggests this test to establish that math is running out of interesting research: "Take a fairly generalist journal, like the Journal of Algebra (take a topic in which you have expertise — my doctoral thesis was in algebra)
184.
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Chinjut
2y ago
You can already represent infinitely many numbers with a finite set of symbols without positional notation, in unary. You can write "1 + 1 + 1 + 1" or "This number of stars: ****" or whatever. This idea (make N marks to
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Chinjut
2y ago
If you think that's bad, the R^4 coefficient is even lower.
186.
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Chinjut
2y ago
Let them make a new version if they want, sure, but removing access to the original is what rankles.
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Chinjut
2y ago
What do you mean? It works the exact same way for 128 bottles. 64, 32, 16, 8, 4, 2, 1.
188.
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Chinjut
2y ago
This is essentially the same approach as the solution described in the article. You are observing the bits of the poisoned bottle number in binary, bit by bit. The only difference is that you avoid retesting any bottles once they have been
189.
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Chinjut
2y ago
The second ChatGPT example proof is mostly fine, except it failed to see that the claimed theorem isn't actually true at d = 2. (It writes "d ≥ 2" for a step in its reasoning where d ≥ 3 is actually required.)
190.
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Chinjut
2y ago
ChatGPT just spit out nonsense in the first example. Look at the sum in step 6, over τ ≤ τ. Is τ the bound variable of the summation or a free variable? Put another way, how many terms are in this summation over "τ ≤ τ"? And how d
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Chinjut
2y ago
How did people hunting for the origin of this image discover the random niche website preserved by the Internet Archive that this image happened to come from?
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Chinjut
2y ago
It took me nearly two decades of problems before I got a SIBO diagnosis, via breath testing. But now I'm not sure how much stock to put in such tests, given the very recent paper https://onlinelibrary.wiley.com/doi/
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Chinjut
2y ago
Minor point, but Blaise Pascal was centuries earlier than the 1850s.
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Chinjut
2y ago
I have a PhD in mathematics and I agree with you.
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Chinjut
2y ago
There is absolutely something wrong with it. Just because a thing is common doesn't make it good.
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Chinjut
2y ago
That's fine but it's about the same as you'll get from an encyclopedia also, which makes sense as that's just where GPT got it from anyway. Nothing revolutionary in the ability to read encyclopedia articles. We've h
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Chinjut
2y ago
CNN, MSNBC, Fox News, etc, are no better. They're just more established.
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Chinjut
2y ago
It's a choke because it failed to get the answer. Saying other true things but not getting the answer is not a success.
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Chinjut
2y ago
I do not imagine LLMs will be of any use here.
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Chinjut
3y ago
Why would the LLM be any good at determining where the input should be handled?
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Chinjut
3y ago
Union meeting 1924: "Mr. President, do we really have to work every Saturday?"
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Chinjut
3y ago
If you want the result where there is a lower conditional probability of your originally selected door having the prize versus the remaining unopened door, then it completely does matter to have the setup be "Monty always opens a door
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Chinjut
3y ago
This is in fact the first example in the article.
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Chinjut
3y ago
I am having tremendous difficulty parsing this sentence.
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Chinjut
3y ago
It was always like this ("Now the system just makes shit up and says 'Yes you are right' when you catch it on BS."). The scales are just falling from your eyes as the novelty fades.
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Chinjut
3y ago
"The problem’s dimension influences the dimension of this shape: With two variables it takes the form of a flat polygon; in three dimensions it is a Platonic solid, and so on." It certainly needn't be a _Platonic_ solid! The
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Chinjut
3y ago
It is odd to write this and not in one's conclusions realize or call attention to how this "Whose responsibility is this?" problem all goes away with single payer. In countries with single payer healthcare, this problem never
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Chinjut
3y ago
There needn't be a layer such that all layers below are completely white and all layers above are completely blue. For example, consider a cube. It has four layers. We could say the bottom-most layer is the one with (0, 0, 0). Above th
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Chinjut
3y ago
Given a monad M on a category C, it is among other things a functor from C to C, which means that we have functions from Hom(c, d) to Hom(M(c), M(d)) for each pair of objects c and d in C. [Here, by Hom(x, y), I mean the set of morphisms fr
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Chinjut
3y ago
I'm having a very hard time understanding this comment. Perhaps my cognitive decline has begun. Update: I see I should rewatch "Life of Brian".
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