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seanhunter
searching PlanetScale…
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106 ms
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61.
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seanhunter
2mo ago
Speaking as a non-American, and without the lens of partisan politics, it seems incredibly obvious to me that Kevin Warsh < Jerome Powell < Janet Yellen ... in terms of credibility as an economist, with Ben Bernanke one step to either
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seanhunter
2mo ago
This is something that people have thought about a fair bit and that link does not mean what you think it means https://lean-lang.org/doc/reference/latest/ValidatingProofs/ Lean's threat model is no
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seanhunter
2mo ago
Fair to say that perhaps isn't selling it as much as you may think. It looks like perl that has been written by someone who is in the process of having a stroke.
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seanhunter
2mo ago
Absolutely that's the reason. But the point is the big communities (I'm thinking https://leanprover-community.github.io/ , Kevin Buzzard and all the stuff he's got going at imperial college in the uk etc, the
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seanhunter
2mo ago
I find it really strange that people who don't use lean don't just get on and use the alternatives rather that trying to get everyone who is using lean to use something else. It feels exactly like if all the emacs users in the wo
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seanhunter
2mo ago
One thing about this is you never can tell how one thing will lead to another, so even if you don’t get a good response to your cold email, if you do it well, it can still unlock doors later on that you never expected to. To illustrate this
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seanhunter
3mo ago
> And the main way we prove that the Reals are uncountable is to use a proof by contradiction. It would take too long to spell it out, but they aren't really just contradicting "Reals are Countable". It's "All th
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seanhunter
3mo ago
> We've never used any of them in all history. You just used them yourself in your previous post to make your argument that computable numbers are dense in incomputable numbers.[1] So presumably that makes you the first person in a
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seanhunter
3mo ago
I understand the point about density and I'm fine with the concept of functions being continuous over a restricted domain (eg the rationals even) but if I draw a line and label one end 0 and one end 1 then I have plotted the set of all
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seanhunter
3mo ago
They are in a very meaningful sense actually there. If I draw a curve I want the line not to have holes in it, and they have to be there for that to be true. More importantly, a function is its graph so if I want my functions to be continuo
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seanhunter
3mo ago
I don’t understand constructivism at all. No numbers are real. They are all an entirely abstract construction, like lines and planes and open sets and closed balls and metric spaces and everything else. If I construct a number by saying it
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seanhunter
3mo ago
The Church-Turing hypothesis I agree could be crisper (ie the definition of effectively computable is a bit complicated/weasely), but it actually says something quite concrete that I can understand and potentially falsify ie that a uni
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seanhunter
3mo ago
One of the frustrating things with the way Stephen Wolfram works is because he never actually defines anything it’s very hard to pin down what is actually interesting empirical science and what is data visualisation buggering around. Here,
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seanhunter
3mo ago
Terry Tao isn’t Chinese, he was born Australian and has lived in the US for a long time.
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seanhunter
3mo ago
I have no idea why you have this weird axe to grind. Yes she has done research https://www.nature.com/articles/srep01303 https://www.thelancet.com/article/S1473-3099(20)30457-6/full... https
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seanhunter
3mo ago
When I updated this morning I got claude code v2.1.217. It doesn't have opus 5 listed under /models (opus 4.8 is the latest).
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seanhunter
3mo ago
Completely agree. I’d recommend her book “Hello world: How to be human in the age of the machine” to anyone who isn’t familiar. It’s one of those books where even if you know about programming, AI etc it’s worth reading because she hasn’t
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seanhunter
3mo ago
Yeah exactly. Can't speak for diabetes but in the UK there is certainly zero admin overhead for me for my long-term health condition. I'd be very surprised if diabetes is different. Every now and again I get scheduled for a blood
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seanhunter
3mo ago
Yes. If anything, this is taking a complex yet common idiom and making it simpler.
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seanhunter
3mo ago
Back when I used to write C++ it was used all over the place. Admittedly that was a log time ago.
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seanhunter
3mo ago
I looked up the US price for the private prescription I paid 22GBP for. On drugs.com it would have cost me 239 USD.
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seanhunter
3mo ago
It really is easier, and you can see how this works in any number of countries with universal healthcare. I don’t have diabetes but do have chronic health issues that need constant treatment. Here in the UK: 1. I can reorder prescriptions
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seanhunter
3mo ago
Does that mean you can't go up and fix a typo? If so, that sounds strictly worse than what you get by default from the shell (which is up arrow, ctrl-r and various other methods of history searching, and history substitution or editing
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seanhunter
3mo ago
Here you go https://claude.ai/share/c8407777-1ccf-402b-9010-7bc57228b943 I asked Opus 4.8 to critique my algebra notes (these are definitely not masters level- just undergrad second year). It hallucinated an error it c
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seanhunter
3mo ago
Surely it's Silicon Valley's favourite university primarily because it's an elite university that has top tier business and computer science programs and is in Palo Alto (ie right in the heart of the valley)? The only other
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seanhunter
3mo ago
It’s interesting to note that in regular mathematics, induction on the natural numbers is axiomatic.[1] That is, you can’t get there from within the framework you have built up to then so you need to build an extra axiom into the system to
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seanhunter
3mo ago
“Tat” means miscellaneous junk. That said, the anecdote is made up or important details have been elided to make it sound more interesting than it is. Amazon doesn’t depend on whatsapp for 2fa. You can configure amazon 2fa to send an SMS an
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seanhunter
3mo ago
I don’t think that’s true. Lots of mathematicians excel at (and revel in) finding weird counterexamples and love the strangeness of it all. John H Conway being my favourite- Look up the Conway knot[1] or the Conway base 13 function[2] for f
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seanhunter
3mo ago
It's no different other than it's a layer of indirection which allows bash to change in a way that would not be possible if scripts directly referenced /bin/bash or /usr/bin/bash. The only thing you can&#
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seanhunter
3mo ago
Yes. Riemann gives them in the paper, including derivation, it’s just a bit annoying to type/read them here because hn doesn’t support mathjaxx. https://www.claymath.org/wp-content/uploads/2023/04/Wi
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