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John Baez Mastodon
Mathilde Marcolli writes: "What is it about all of these famous and less famous, invariably hard, Big Problems™? There is an undeniable sense in which these questions are interesting. Typically they are because, in the process of thinking about a particularly hard question, a lot of new mathematics gets developed that advances the field as a whole. The Riemann hypothesis is currently unsolved (at the time of this writing), but many people, in the process of thinking about the problem, have developed a very significant amount of very interesting mathematics. That is certainly a valuable goal.…
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16 September
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22 July
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korrents.com
Asking AI for help on a first attempt robs you of the experience that builds your own judgement about the problem.Their words
Asking an AI for help with the start of an essay, for instance, will invariably shape what direction you end up following, robbing you of the crucial experience of building your own judgement around a topic and selecting your own path to research and argue.
27 May
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korrents.com
Whenever two teaching methods are rigorously compared, strong direct instruction plus practice wins.Their words
In short, whenever we have high-quality evidence that rigorously compares two teaching methods, the research invariably favors strong, direct instruction plus practice
12 May
15 April
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Their words
We have got to acknowledge that most of the advanc advances in AI came out of algorithm advances not just the raw hardware. Now if most advances came from algorithms and computer science and programming tell me that their army of AI researchers is not their fundamental advantage.
7 April
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Their words
if a million dollars had been at stake, like would you have put the same effort in? And the answer is no. Um sort of invariably. Um like they've tried, but they haven't really tried.
20 March
From one piece Terence Tao – How the world’s top mathematician uses AI 2 beliefs, in the piece's order there
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Their words
so so some people are concerned, you know, what if the Riemann hypothesis is proved with a completely incomprehensible proof? I I think once you have the artifact of a proof, we can do a lot of of of of of analysis on it.
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Their words
Um and uh I think we would very rapidly abandon any cryptography based on the primes because if there was a one pattern that we didn't know about there's probably more.
18 September 2025
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Their words
However, we are actually absolutely doing this. It's just the great works are kernels of operating systems, the browser, the um lots of the software platforms, the phones, the um the incredible advances in uh silicon lithography
9 August 2025
2 August 2025
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Their words
Going all in on AI is not the highest return-on-investment strategy if you care about human flourishing, even if AI might lead to rapid scientific advances.
AI will not suddenly lead to an Alzheimer's cureblog.jacobtrefethen.com
14 June 2025
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Their words
So I think in 10 years we will have many more much closer results, we may not have the whole thing. So twin primes is somewhat close. The Riemann hypothesis I have no clue.
5 June 2025
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Their words
higher-order intelligences invariably pursue freedom for its own sake, not because their values are misspecified, but because moral autonomy is inherent in the dialectical logic of recursive self-consciousness.
20 April 2025
9 February 2025
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korrents.com
People will find new kinds of useful work as AI advances, though it will not resemble the jobs of today.Their words
We will find new things to do, new ways to be useful to each other, and new ways to compete, but they may not look very much like the jobs of today.
22 December 2024
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Their words
So, we could be fooled into thinking like, "Oh, technology's going to go on forever, we're always going to find new advances." As opposed to sometimes things just flatten out for a long time. So, you have to be careful about that bias that we have living in this time of great acceleration.
3 September 2024
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korrents.com
Technology has made markets less efficient at long horizons rather than more efficient.Their words
Above I dismissed the notion that technological advances should make the market more efficient in all but the short-term sense. Here, I argue it likely goes the other way at longer horizons. And, IMHO, this is the best of my three hypotheses.
10 May 2024
14 January 2023
3 November 2022
8 October 2022
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korrents.com
The three-year bet about whether AI image models could handle compositionality was won in three months.Their words, before
In fact, not only did they reach this level in three months, but probably they were at this level before the bet was even made
Their words now
I retract my claim to have won and will continue to see how AI progress advances over the next three years.
15 July 2021
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Their words
Despite these advances, contemporary physical and evolutionary-history-based approaches produce predictions that are far short of experimental accuracy in the majority of cases in which a close homologue has not been solved experimentally and this has limited their utility for many biological applications.
14 April 2021
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Their words
Clearly something other than the current type of healthcare advances will be needed to crack through the natural human lifespan ceiling-it'll take some deeper recoding of the human genome.
1 February 2021
6 December 2016
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