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impendia

6,376 karma · joined November 20, 2010

Mathematics (assistant) professor at the University of South Carolina. Worked for a technology startup way back in the day. I'm interested in analytic number theory (and math in general), mathematics education, the publishing industry, and discovering that Columbia is less boring than everyone keeps telling me.

thorne [at] math [dot] sc [dot] edu

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impendia··on Ask HN: Burned out from tech, what else is there?
I haven't, but others have written about the same trip. There's lots of material online these days, I'm not really familiar with it but if you google "Shikoku henro pilgrimage", all the hits will be about the same trip I took.

There is a wonderful book, Japanese Pilgrimage by Oliver Statler. He goes into the history of the pilgrimage and of Kobo Daishi, the monk whose path the trail follows. He also discusses his own personal experience walking the trail.

impendia··on Ask HN: Burned out from tech, what else is there?
A variant of this advice, that avoids some of the pitfalls, is to take time off to do something structured and specific.

Personally, in between jobs a long time ago, I chose to walk the Henro Trail, an approximately 800-mile Buddhist pilgrimage trail in Shikoku, Japan. To make a long story short, it was the experience of a lifetime.

impendia··on “Erdos problem #728 was solved more or less autonomously by AI”
> Are you an expert?

I can't speak for ndriscoll, but I am a university math professor with extensive experience teaching these sorts of topics, and I agree with their comment in full.

You are right that some (other) statements are harder to formalize than they look. The Four Color Theorem from graph theory is an example. Generally speaking, discrete math, inequalities, for all/there exists, etc. are all easy to formalize. Anything involving geometry or topology is liable to be harder. For example, the Jordan curve theorem states that "any plane simple closed curve divides the plane into two regions, the interior and the exterior". As anyone who has slogged through an intro topology book knows, statements like this take more work to make precise (and still more to prove).

impendia··on Eat Real Food
If the government's guidance isn't to be at least mostly trusted, then I'm not sure the government should be offering guidance at all. (Which is perhaps a sensible position in itself.)

In other words, if I learn enough about nutrition to be able to critically evaluate the government's guidance, then is that guidance adding any additional signal? At that point, I should just rely on my sources about nutrition.

I've never been one to rely on official guidance blindly. For example I don't show up to the airport two hours early, and cheerfully laugh at advice that I should. But I'd like to believe that this guidance is better than total nonsense.

impendia··on Eat Real Food
This could certainly be fantastic, and very good advice. Or it could be a lot of bunk, I don't know. Given the source (i.e., RFK), I refuse to trust it.

The point of guidance like this is to be trustworthy and authoritative. If I have the ability to independently evaluate it myself, then I didn't really need it in the first place.

Of course, I might be mistaken to have ever trusted the government's nutrition guidance. It's not like undue influence from industry lobbying is unique to this administration.

impendia··on US will ban Wall Street investors from buying single-family homes
I agree in principle, but companies (and individual very rich people) are amazingly inventive when it comes to finding loopholes in the "nuance".
impendia··on Ask HN: When do we expose "Humans as Tools" so LLM agents can call us on demand?
Indeed, I wonder if these angry young people would try to fuck with these AI agents, and attempt to make them spin in circles for their own amusement.

Sort of like the infamous GameStop short squeeze of 2021:

https://en.wikipedia.org/wiki/GameStop_short_squeeze

impendia··on I canceled my book deal
Did they let you choose the animal to appear on the cover?
impendia··on AI's real superpower: consuming, not creating
If I needed something verifiable, or wanted to learn the material in any depth, I would certainly not rely on an AI summary. However, the summary contained links to source material by known experts, and I would cheerfully rely on those.

The same is true if I imagined there would be misleading bullshit out there. In this case, it's hard to imagine that any nonexpert would bother writing about the topic. ("Universal torsor method" in case you're curious.)

I skimmed the AI summary in ten seconds, gained a rough idea of what the speaker was referring to, and then went back to following the lecture.

impendia··on AI's real superpower: consuming, not creating
I was in a research math lecture the other day, and the speaker used some obscure technical terminology I didn't know. So I dug out my phone and googled it.

The AI summary at the top was surprisingly good! Of course, the AI isn't doing anything original; instead, it created a summary of whatever written material is already out there. Which is exactly what I wanted.

impendia··on Tell HN: AI coding is sexy, but accounting is the real low-hanging target
I'm not sure if you're being sincere or sarcastic, but the whole reason that coaching, pestering, and goading works is that I value my relationship with the human who is doing it.
impendia··on Calculus for Mathematicians, Computer Scientists, and Physicists [pdf]
> The point of calculus is...

As a math professor who has taught calculus many times, I'd say there are many different things one could hope to learn from a calculus course. I don't think the subject distills well to a single point.

One unusual feature of calculus is that it's much easier to understand at a non-rigorous level than at a rigorous level. I wouldn't say this is true of all of math. For example, if you want to understand why the quadratic formula is true, an informal explanation and a rigorous proof would amount to approximately the same thing.

But, when teaching or learning calculus, if you're willing to say that "the derivative is the instantaneous rate of change of a function", treat dy/dx as the fraction which it looks like (the chain rule gets a lot easier to explain!), and so on, you can make a lot of progress.

In my opinion, the issue with most calculus books is that they don't commit to a rigorous or to a non-rigorous approach. They are usually organized around a rigorous approach to the subject, but then watered down a lot -- in anticipation that most of the audience won't care about the rigor.

I believe it's best to choose a lane and stick to it. Whether that's rigorous or non-rigorous depends on your tastes and interests as a learner. This book won't be for everybody, but I'd call that a strength rather than a weakness.

impendia··on Thunderbird adds native Microsoft Exchange email support
I can think of reasons why I might want a local copy, but they didn't apply in my case.

Do I have control over my data? I'm not sure I understand the question, but in this case the answer seems like a clear no, as my employer manages the email server.

impendia··on Thunderbird adds native Microsoft Exchange email support
I tried a couple of them, and they both started downloading my entire backlog of email to my hard drive, which I didn't want.

I couldn't think of a reason why this would be necessary, but I haven't really kept up with how the technology has evolved in recent years. Is this behavior intrinsic to desktop clients?

impendia··on Ask HN: Why has typing on a phone not improved in ~20 years?
> type one-handed without looking at the screen at all, and have perfect accuracy.

A computer that can predict what I'm going to write next with perfect accuracy? This is the stuff of dystopian science fiction.

Indeed, along these lines I recommend the movie Minority Report, which shows a society that gained the ability to predict crimes before they happened, and therefore to arrest criminals in advance.

impendia··on Ask HN: What would an ideal matchmaking platform look like today?
An interesting point -- and I sometimes wonder if we would all be happy if romantic partners were decided by lottery, and nobody got to wonder if someone "better" was lurking just around the corner.

That said, compatibility may well be overrated, but what should you optimize for? I suspect most people are willing to make it work for someone they like or are attracted to enough.

Ideally, serendipity would settle the issue. But women have complained, and rightfully so, of getting hit on at the office, at the gym, etc. I don't blame them, but as a single man I do wonder what (if anything) I should be doing to scope out potential romantic partners without coming across as a creep. The apps aren't ideal, but at least I can use them with a clear conscience.

impendia··on Ask HN: What would an ideal matchmaking platform look like today?
"Human relationships and expectations have evolved a lot in the last decade"

Is this really true? I agree they've changed some, but a lot?

In any case, I'll take a stab at your question. Not thinking about how to make money, just how to make something successful from the users' point of view.

I really enjoyed OKCupid in its heyday, circa 2010. I only got a few dates out of it, but the site was genuinely fun. Profiles were long, with multiple essays, and this was very much encouraged. The personality tests were also fun -- and the founders discovered that questions like "Do you enjoy horror movies?", "Have you ever been to another country by yourself?", and even "Do you like the taste of beer?" predicted compatibility much better than trite questions. There was no notion of a "match", messaging worked like email and you could write to anyone on the site.

As the founders said, "OKCupid does a fantastic job at matching you with people who claim to be what you claim to want." I loved the tongue-in-cheek humor and the site's awareness of its own limitations. And you had to put in a little bit of effort to use the site, which was very much a good thing.

OKCupid still exists, but it's a shadow of its former self nowadays.

How to improve? Maybe a slight barrier to engagement, such as a few tailored questions you have to answer for each person before messaging someone. (To prevent men from sending out messages to every women in sight. Or at least make it more difficult...)

Or, something like, if you look at a profile, then you can't navigate away for at least twenty seconds. Again, to prevent you from messaging too many people, or dismissing lots of people instantly.

I believe that the biggest issue with dating sites is that it's hard to align the incentives of the user with the incentive of the site owner. Not sure how you solve that one.

impendia··on Ask HN: However little television you watch, watch less."
Thank you very much for your reply.

This might sound like a strange question, and maybe not one I can reasonably ask of anyone else. That said -- how can I determine what "rest" genuinely means for me? As opposed to what I would like it to mean?

I enjoy Civ, but that might be for the dopamine kick it delivers, so I'm not sure if it has the beneficial effects you describe. I also enjoy reading, but that feels more like lifting than recovery.

And I've indeed tried meditation, and indeed not found it easy!

impendia··on No I don't want to turn on Windows Backup with One Drive
May I ask how?

I'm aware you can disable notifications for a single app at a time. Is there a way to disable them entirely?

impendia··on No I don't want to turn on Windows Backup with One Drive
You can't turn off notifications on MacOS AFAICT, but you can set "quiet hours" to 24 hours a day. So now I only see any notifications if I happen to be using my computer at exactly 10:00 pm.

If you have any notifications you actually do want, this isn't a viable solution. But personally I have yet to ever see a notification on my computer which I considered important.

impendia··on Typst: A Possible LaTeX Replacement
One advantage of LaTeX is that it's virtually impossible to generate markup by accident. This contrasts with other platforms which often decide that I'm trying to create a bulleted list, write something in boldface, etc. -- which hasn't always been the case.

It seems that part of the design philosophy of Typst is to make more assumptions about what the user is trying to do. For example, apparently if the user wants "dif" to appear in a math formula, typing "dif" would instead produce a differential -- although I presume there is some easy way to handle this.

Anyone who has used Typst -- did this potential disadvantage materialize in any way which was at all significant? Or did it turn out to be a nonissue?

impendia··on Terence Tao: The role of small organizations in society has shrunk significantly
Your tool library sounds fantastic! Congratulations on your success.

That said, although starting a new organization may not take much money, it does take a lot of wisdom and social capital. I would say that you succeeded at something quite difficult.

When I've sought out volunteer activities in the past, it was usually when my social and personal life were on shaky grounds. In particular, when I was in no shape to start something new the way you did.

I've often heard volunteering recommended as an antidote for loneliness, but as grogenaut observed, this advice can sometimes be tricky to follow in practice.

impendia··on Three-Minute Take-Home Test May Identify Symptoms Linked to Alzheimer's Disease
You have the disadvantage of operating in a space where a lot of people and companies claim a lot of different things, and where cause and effect is maddeningly difficult to sort out.

For example, if you read Slate Star Codex, you can find all manner of posts discussing how psych meds are produced and brought to market, how they can behave in unpredictable fashion, and why claims made by the pharmaceutical industry should be regarded with a healthy dose of distrust. But its author is a trained psychiatrist, and he'd be the first to tell you that psych meds do indeed work.

Personally, I've dealt with sleep issues for years with reasonably consistent symptoms. I read various books and tried CBT, therapy, and a variety of meds. A lot of this seemed to either do nothing, or else have strange effects. Eventually I tried some med that got terrible reviews online, which to my surprise pretty much solved my problem overnight. Now I'm overseas for several months without access to this medication, and to my complete surprise my sleep has been fine. Why? Will things stay this way? I wish I could tell you!!

All this is to say, for your target market, suspicion and distrust will often be par for the course. Please don't take it personally :)

impendia··on Three-Minute Take-Home Test May Identify Symptoms Linked to Alzheimer's Disease
I'm referring to this website:

https://ourincrediblejourney.tumblr.com/

Blog posts from startups who get acquired by big companies, talking about what an incredible journey their startup has been, and thanking their customers and promising ongoing support for their products. And then breaking these promises soon after.

And no one aims to enshittify, but my understanding is that pressure from investors eventually becomes louder than that from customers. (Although perhaps less so in your case, as you say you're bootstrapping.)

If you have a subscription model, you're asking me to trust you over the long term. But, if I understand your product correctly, there's no technical reason why I need to have an ongoing relationship with you or even an internet connection to use your product. Those are apparently business decisions. And I'm afraid those are decisions which lead me to trust you less.

impendia··on Three-Minute Take-Home Test May Identify Symptoms Linked to Alzheimer's Disease
I have been on your mailing list for time, and at least semi-seriously thought about buying one.

Like other readers, I saw the subscription business and got put off.

Especially since it seems that every company eventually either "enshittifies" or goes on an "incredible journey".

impendia··on Paid $2400 to Cloudflare, support refuses to help
Very strongly agreed. I can count on no hands the number of times I've contacted a company for support and had any interest in talking to AI. Indeed, the chatbots I've interacted with have all been so comically bad that I wondered if these companies were deliberately trying to frustrate me.
impendia··on "Your" vs. "My" in user interfaces
What really bugs me is use of the first person plural, which Microsoft (among others) seems to be doing a lot recently. I feel like I'm being talked down to.

"Let's add your Microsoft account." No, let's not.

impendia··on Which would you subscribe: HBR / The Economist / Farnam Street?
The Economist is fantastic for world news, especially for regions that go underreported in US media, but it doesn't sound like what you're looking for.
impendia··on Kenvue stock drops on report RFK Jr will link autism to Tylenol during pregnancy
I agree with this criticism.

If medical facts can reliably be inferred from RFK's statements, by whatever algorithm (i.e. "believe the opposite of whatever he says"), then it follows that he understands what he is talking about. Which would contradict all the evidence I've seen.

impendia··on Florida lawmaker floats ban on HOAs amid growing backlash
Is that legal?!

I would have thought your lawyer would be salivating at the prospect of raking your HOA over the coals. Or at least of mailing a nastygram with all sorts of colorful threats. I suppose not?

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