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Posted by srcreigh 20 hours ago

We're gonna need a lot more mathematicians(terrytao.wordpress.com)
354 points | 457 commentspage 3
amelius 13 hours ago|
> But we are now entering a time for humility: a time when all of us are going to know what it feels like to be unable to keep up.

Humility is the wrong word. We didn't feel it when the steam engine was introduced, so why now?

Ylpertnodi 12 hours ago|
>humility

Fear? Ai is an abstract (for most people). A steam engine, you can touch. And, it doesn't replicate.

macrolocal 19 hours ago||
Russell once remarked that all of mathematics would be trivial to a sufficiently intelligent being. It builds conceptual tools for limited minds, that lets them understand far beyond their natural reach.

In a world with ASI, having that capacity is vital.

card_zero 17 hours ago||
Ha, are you invoking something he said prior to discovering Russell's paradox? Which came about because he wanted to show that all of mathematics can be derived from logic about sets, but instead he showed that it couldn't be.
a57721 16 hours ago|||
As someone with a math background, I don't see Russell's paradox as some interesting mathematics beyond set theory. It's just an example showing that one should be careful about defining sets.
auggierose 13 hours ago||
As someone with a math background, and a logic background, I think Russell's paradox is most interesting, beyond just set theory. It shows us that one should be careful about what exactly a definition is.
macrolocal 7 hours ago|||
Russell's paradox was 1901. Likely afterwards.
tim333 2 hours ago||
I suspect the amount of complexity in mathematics is infinite, so any intelligent being of finite intelligence would be unable to do all of it.

I mean just looking at all the numbers to see which have interesting properties could take a while.

prirun 14 hours ago||
> "If AI fulfills its promise, we will encounter more beautiful and consequential ideas than we have ever seen."

It will be as it always has been: these ideas will further enrich the rich, at the expense of everyone else. We'll have our first quadrillionaire, while the masses are debating whether the minimum wage of $7.25/hr should be bumped up.

Levitating 14 hours ago|
What a doomer way of thinking. Scientific advancements has positively improved the lifes of people in the past I don't see how scientific advancements accelerated by AI would be any different.
an0malous 11 hours ago||
It’s interesting that you won’t say it’s wrong.

> Another approach is to follow that word, heresy. In every period of history, there seem to have been labels that got applied to statements to shoot them down before anyone had a chance to ask if they were true or not. "Blasphemy", "sacrilege", and "heresy" were such labels for a good part of western history, as in more recent times "indecent", "improper", and "unamerican" have been. By now these labels have lost their sting. They always do. By now they're mostly used ironically. But in their time, they had real force.

>

> The word "defeatist", for example, has no particular political connotations now. But in Germany in 1917 it was a weapon, used by Ludendorff in a purge of those who favored a negotiated peace. At the start of World War II it was used extensively by Churchill and his supporters to silence their opponents. In 1940, any argument against Churchill's aggressive policy was "defeatist". Was it right or wrong? Ideally, no one got far enough to ask that.

What You Can’t Say https://paulgraham.com/say.html

achenet 9 hours ago||
Okay, I'll say it's wrong.

Look at the average life of a person living in Western Europe 400 years ago.

Look at the average life of a person living in Western Europe today.

Heck, look at the lives of the top 1% of humanity living 400 years ago.

From: https://en.wikipedia.org/wiki/Louis_XIV#Personal_life

> Louis and his wife Maria Theresa of Spain had six children from the marriage contracted for them in 1660. However, only one child, the eldest, survived to adulthood

From: https://en.wikipedia.org/wiki/Louis_XIV#Health_and_death

> Louis outlived most of his immediate legitimate family. His last surviving legitimate son, Louis, Dauphin of France, died in 1711 of smallpox and barely a year later, Louis, Duke of Burgundy, the eldest of the Dauphin's three sons and then heir-apparent to Louis, died of measles. Burgundy's elder son, Louis, Duke of Brittany, died of the same disease a few weeks later.

The king of France, arguably one of the richest people on the planet at the time, had 5/6 six children with his wife, the Queen of France and daughter of the Spanish King die before adulthood.

Now look at the life of an average middle-class French person (or American, or English person or any of the 6+ billion people living with electricity) today. See anyone dying in childbirth? Anyone dying of measles or smallpox before they're old enough to vote?

Technological progress, helping not just the rich get richer, but everyone get richer.

QED.

Trusteando 14 hours ago||
One question: LLM might answer correctly many logical and math problems, but I don't see any guarantee that when the LLM context receives new information the answer could get worst. Security in LLM answer is not a monotone increasing function of context size.
maniksaraf 17 hours ago||
If we assume that trusting a model to execute an action is an ongoing exercise, since its trustworthiness is often discovered by the user organically as models develop, should trustworthiness be measured at the level of the model, or at the level of the human intent behind triggering it, whether explicitly or implicitly?
amelius 13 hours ago||
> The ideas and opinions presented here are entirely my own, but GPT 6 Astra was instrumental in helping me draft this note.

It really looks like Tao is on the path of accepting and embracing AI now.

d2kx 13 hours ago|
Maybe he is, but you are quoting Amit Sahai, the author of this blog post.
amelius 12 hours ago||
Oops :D
ponector 13 hours ago||
Are you willing to pay for a lot more mathematicians?

Or it as with other professionals: shortage means shortage of cheap labor.

inopinatus 19 hours ago||
> Imagine that a future AI system proposes a radically new design for a one terawatt nuclear fusion power plant

This is an unfortunate example to choose, being as it is entirely confounded by the canonical illustration of the https://en.wikipedia.org/wiki/Law_of_triviality.

etrautmann 18 hours ago|
How is that relevant at all?
inopinatus 17 hours ago||
How is it not relevant? The construction directly contradicts what Sahai imagines happening, and the worked example is the nuclear power plant.
algorithm314 18 hours ago|
Life is all about tradeoffs. Mathematics have no tradeoffs. We need more engineers.
Trusteando 8 hours ago||
Mathematics can give for example theoretical lower and upper bounds for complexity of algorithms. And that information is very valuable for tradeoffs. For example we know that many algorithms have optimal average complexity or asymptotic behavior so they can be a good tradeoff in certain scenarios. Also knowing that some problems don't have a perfect solution allows you to accept essential tradeoffs
inopinatus 18 hours ago||
Life is all about purpose. Mathematicians are instead concerned with meaning. We need more philosophers.
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