It is in principle possible to 1000x the economy or to defeat humanity using only interpolation, depending on data efficiency. At high data efficiency a human just needs to do something once, and that mental or physical motion is instantly scaled to the entire economy, as well as interpolation between it and anything else a human has done. Likewise you get at minimum robot armies 1000x the size of humanity that can follow routine orders.
However, I think it is important to separate what can be repeatable at 1000x and what is actual increased productivity.
For example, I can generate so many plots now! More than I used to! So much code too. +1000x in fact! But is it actually providing more value to the world at that rate? No!
As Terrence Tao said during the recent Dwarkesh interview:
Dwarkesh Patel
So let’s see if you can continue this streak. You personally are 2x more productive as a result of AI. What year would you say that?
Terence Tao
Productivity, I think, is not quite a one-dimensional quantity. I’m definitely noticing that the style in which I do mathematics is changing quite a bit, and the type of things I do. For example, my papers now have a lot more code, a lot more pictures, because it’s so easy to generate these things now. Some plot which would have taken me hours to do, now I can do in minutes. But in the past, I just wouldn’t have put the plot in my paper in the first place. I would just talk about it in words. So it’s hard to measure what 2x means.
On the one hand, I think the type of papers that I would write today, if I had to do them without AI assistance, would definitely take five times longer. But I would not write my papers that way.
Dwarkesh Patel
5x?
Terence Tao
Yeah, but these are auxiliary tasks. Things like doing a much deeper literature search or supplying a lot more numerics. They enrich the paper. The core of what I do, actually solving the most difficult part of a math problem, hasn’t changed too much. I still use pen and paper for that.
But there’s lots of silly things. I use an AI agent now to reformat. Sometimes if all my parentheses are not quite the right size, I used to manually change them by hand, and now I can get an AI agent to do all that quite nicely in the background.
They’ve really sped up lots of secondary tasks. They haven’t yet sped up the core thing that I do, but it’s allowed me to add more things to my papers. By the same token, if I were to write a paper I wrote in 2020 again—and not add all these extra features, but just have something of the same level of functionality—it actually hasn’t saved that much time, to be honest. It’s made the papers richer and broader, but not necessarily deeper.
It is in principle possible to 1000x the economy or to defeat humanity using only interpolation, depending on data efficiency. At high data efficiency a human just needs to do something once, and that mental or physical motion is instantly scaled to the entire economy, as well as interpolation between it and anything else a human has done. Likewise you get at minimum robot armies 1000x the size of humanity that can follow routine orders.
I agree it is possible and fits within my model.
However, I think it is important to separate what can be repeatable at 1000x and what is actual increased productivity.
For example, I can generate so many plots now! More than I used to! So much code too. +1000x in fact! But is it actually providing more value to the world at that rate? No!
As Terrence Tao said during the recent Dwarkesh interview:
Dwarkesh Patel
So let’s see if you can continue this streak. You personally are 2x more productive as a result of AI. What year would you say that?
Terence Tao
Productivity, I think, is not quite a one-dimensional quantity. I’m definitely noticing that the style in which I do mathematics is changing quite a bit, and the type of things I do. For example, my papers now have a lot more code, a lot more pictures, because it’s so easy to generate these things now. Some plot which would have taken me hours to do, now I can do in minutes. But in the past, I just wouldn’t have put the plot in my paper in the first place. I would just talk about it in words. So it’s hard to measure what 2x means.
On the one hand, I think the type of papers that I would write today, if I had to do them without AI assistance, would definitely take five times longer. But I would not write my papers that way.
Dwarkesh Patel
5x?
Terence Tao
Yeah, but these are auxiliary tasks. Things like doing a much deeper literature search or supplying a lot more numerics. They enrich the paper. The core of what I do, actually solving the most difficult part of a math problem, hasn’t changed too much. I still use pen and paper for that.
But there’s lots of silly things. I use an AI agent now to reformat. Sometimes if all my parentheses are not quite the right size, I used to manually change them by hand, and now I can get an AI agent to do all that quite nicely in the background.
They’ve really sped up lots of secondary tasks. They haven’t yet sped up the core thing that I do, but it’s allowed me to add more things to my papers. By the same token, if I were to write a paper I wrote in 2020 again—and not add all these extra features, but just have something of the same level of functionality—it actually hasn’t saved that much time, to be honest. It’s made the papers richer and broader, but not necessarily deeper.