aaplok
Joined 6 years ago
Joined 6 years ago
Cross platform GUI is hard unless you elect to build a website and navigate through chrome via electron. Cross platform TUI is a lot easier.
GP trusts them for reviewing external extension code, and ensure that it does not contain malware, but not for not inserting exception to their own telemetry if they wrote the code themselves.
Or, more likely, they feel that having two independent actors collaborating on the extension (one by writing and the other by reviewing) yields a more trustworthy outcome than either actor on their own.
If you compare this with the HTML produced by typst or hevea, this is super useful, as we can then roll out our own styles.
As a mathematician who publishes theorems, I think this is mistaken. New theorems in abstract and pure fields of mathematics never had the economic value of what mathematicians are paid. Even creative works of art can be displayed but mathematical papers are unread by anybody except a tiny number of people who wouldn't want to pay all that much for them if they had to.
The economic value of mathematicians is to teach mathematics. Proving theorems is how we build the credentials we need to be trusted to be allowed to teach it. Teaching young and less young people how to navigate through a mathematical problem is how we make ourselves useful.
LLMs coming up with counter examples to obscure conjectures (albeit old and important to a small number of people) is only a threat in that it removes this ritual of belonging.
Many people are excellent teachers (and very competent mathematicians) without publishing new theorems, and many theorem producers are atrocious teachers.
Perhaps the pecking order may change. Or maybe something else will happen. Maybe society will decide to replace all its teachers with AI, or that mathematics is no longer worth learning. I don't know. But what I know is that nobody saw any of the papers I wrote or the theorems I proved and thought "that's money well spent".
> The subject of the photograph merely went along with it.
The subject of the photograph did ask for it to no longer be used. Here's a quote from her:
> I retired from modeling a long time ago. It’s time I retired from tech, too.
> to defiantly do the opposite.
If the policing comes from third party for virtue signalling, this is fair game. Here, I'd just suggest that respecting her wish is just common courtesy and consider someone who defiantly doesn't as a somewhat rude person.
[0] https://interestingengineering.com/culture/bye-lenna-iconic-...
Maths and math are both used, and the reason I used the plural form is not because I insist on anything but because it is the most commonly used of the two. I personally don't mind either forms.
With that said, linguistically using the plural for either is a bit odd, since that would imply you can pick "a" mathematic out of many, or "a" jazz out of many. But linguistic is not math (nor are lingustics maths), logic doesn't always apply.
Even now that I moved away from text-only, I typically work only with fullscreen windows. All I want to see is what I am focusing on at the moment.
Nobody will try to perform a deep intellectual analysis of Lady Gaga's or Ed Sheeran's work the way they analyse Coltrane or Miles Davis (or Mozart, or Stravinsky). Those musicians are intellectuals of the sort Einstein is, unlike Lady Gaga or Ed Sheeran (in the collective perception). Jazz is intellectual music.
And when they analyse something, "smart" people use maths.
I am putting scare quotes around "smart" here to insist that this is largely a social perception and expected behaviour. However, maths can sensibly be used to analyse art, just like it's used elsewhere. This is not patronising, it is more that maths provides a useful language to talk about patterns.
There is a difference between judging an opinion and judging a person. If the response had been something like "what is crazy is to think the world can just switch off its dependence on petrol suddenly", I would not have reacted either.
If your intention is honest engagement with people you disagree with, you should refrain from ad-hominem attacks like this. Work with their arguments, not with their tastes or appearances.
If your intention is to ridicule them and convince yourself they are not worth discussing with, then ad-hominem is fine, but not engaging at all is better.
>The revelation about Cantor’s result doesn’t undermine his legacy. He was still the first person to prove that there are more real numbers than whole ones, which is what ultimately opened up infinity to study.
What he is alleged to have plagiarised are the proofs, or at least one of the proofs. The original article by Goos [0] contains a lot more details about this, including a partial transcription of the letter by Dedekind that Cantor is accused of plagiarism. The story is complex.
1. Cantor's paper has two theorems: the countability of algebraic numbers and the uncountability of reals.
2. The proof of the former appears in Dedekind's letter, and Cantor acknowledges this in his response to the letter. Dedekind mentions in his letter that he only thought about proving this because of Cantor's prompt and only wrote it with the hope of helping Cantor. Dedekind felt that the proof by Cantor is "word for word" his, although it is quite the case. It is essentially the same proof though.
Cantor also felt that Dedekind's proof that the set of algebraic numbers is countable is essentially the same as his own proof of the countability of tuples. It remains that he didn't think of adapting that proof himself, and that Dedekind was the first to prove the theorem is not under question.
3. Dedekind was not the first to prove the uncountability of real numbers. However, he gave a number of ideas to Cantor in that same letter. Namely, he suggested proving the uncountability of the interval (0,1), and it seems that gave a pointer towards how to build the diagonalisation argument, although how this statement was useful to Cantor (page 76 of Goos' paper) escapes me.
EDIT: it's not a pointer to the diagonalisation argument, it is an argument why proving the theorem on (0,1) is enough.
4. Cantor proved the uncountability of reals shortly afterwards, and shared his proof with Dedekind. Dedekind simplified the proof in his reply, and Cantor seems to have come up with a similar simplification on his own. None of these letters are analysed in Goos' article.
5. Cantor published the two theorems; the first proof is essentially the same as Dedekin's, and the second proof is possibly the one Dedekind's simplified version of Cantor's. Dedekind is not acknowledged at all in that paper, due to academic politics.
Goos' paper is very detailed and quite readable. I recommend it. The site is pretty annoying and you can't download the article without creating an account, but you can read the article online.
Even if the most important theorem of the two is unquestionably creditable to Cantor, the first one should likewise unquestionably be credited to Dedekind, at least partially. This is where the accusation of plagiarism stems from. Beyond the question on plagiarism, there is no question that Cantor and Dedekind worked together on this. The lack of acknowledgement by Cantor is certainly quite unfortunate.
[0] https://www.scribd.com/document/977967855/Phlogiston-33#page...
I still think it worth my time kneading dough by hand. It teaches me the various properties of flour, how external factors like humidity or temperature impact the overall process, and I believe that it makes me a better baker, even when I use a machine, because I am better at controlling what the machine does. When I get a new brand of flour I will make sure to bake everything by hand first to "get a feel".
Kneading by hand is also very relaxing to me. This is probably the main reason I bake in the first place.
Programming, and other activities are not very different. We now have machines that can do it faster, at a fraction of the quality many people deem good enough. If you hate coding, that is probably all you need to use, and learning a new language might just be a frustrating experience not worth subjecting yourself to. But if you enjoy coding then it should make you better at it, even when you use the machines.