If AI displaces human workers faster than the economy can reabsorb them, it risks eroding
the very consumer demand firms depend on.
That is a huge "if" though. I am not sure either that the latter falls from this. When the US transitioned away from assembly lines or agriculture dominated, it's not as if consumer spending consequently collapsed.
When did the US transition away from assembly lines?
I don’t think you have thought through either one of these and I don’t think they are comparable to what we expect to see for AI’s changes to the job market.
I don't think this is ever making it past the editor of any journal, let alone peer review.
Elementary functions such as exponentiation, logarithms and trigonometric functions are
the standard vocabulary of STEM education. Each comes with its own rules and a dedicated button on a scientific calculator;
What?
and No comparable primitive has been known for continuous mathematics: computing elementary
functions such as sin, cos, √
, and log has always required multiple distinct operations.
Here we show that a single binary operator
Yeah, this is done by using tables and series. His method does not actually facilitate the computation of these functions.
There is no such things as "continuous mathematics". Maybe he meant to say continuous function?
Looking at page 14, it looks like he reinvented the concept of the vector valued function or something. The whole thing is rediscovering something that already exists.
This preprint was written by a researcher at an accredited university with a PhD in physics. I'm sure they know what a vector valued function is.
The point of this paper is not to revolutionize how a scientific calculator functions overnight, its to establish a single binary operation that can reproduce the rest of the typical continuous elementary operations via repeated application, analogous to how a NAND or NOR gate creates all of the discrete logic gates. Hence, "continuous mathematics" as opposed to discrete mathematics. It seems to me you're being overly negative without solid reasoning.
its to establish a single binary operation that can reproduce the rest of the typical continuous elementary operations via repeated application,
But he didn't show this though. I skimmed the paper many times. He creates multiple branches of these trees in the last page, so it's not truly a single nested operation.
Some of us had the wondrous epiphany as children that we could build any digital device we could dream of (yes, up to and including a full computer, CPU, RAM, peripherals, and all) out of SN7400 NAND gates that we could buy down at the local Radio Shack, if only we could scrape together enough change to buy the requisite number of parts and sockets and Tefzel wire.
Obviously, I can't speak for all of us who had that epiphany, but I strongly suspect that most of us who had that epiphany would find this result joyous.
Well, it is still the case, even if not explicitly shown. Personally I think it almost boils down to school math, with some details around complex logarithms; the rest seems to be simpler.
The principal result is "all elementary functions can be represented by this function and constant 1". I'm not sure if this was known before. Applications are another matter, but I suspect interesting ones do exist.
Peer review is a joke. It's anti-knowledge and status gatekeeping. In the context of math, I am technically a peer. Yet the stuff I find the most interesting is typically not in journals or only on arxiv, even though the journals claim or purport to be curating content of interest to the "general math community".
More apps means mean more employees whose job it is to screen apps, and dealing with customer issues. This defies the popular narrative that AI will result in a net loss of jobs.
Yes, because the intended recipient of this advice are going to be reading the WSJ. The media is really scraping at the bottom of the barrel to be relevant or hip with the times. No issue is too niche or topical.
> The media is really scraping at the bottom of the barrel
The media has never reported what's relevant, only what people want to hear. It's a business, they could pay for 24/7 coverage of the Sudanese civil war or invasion of Ukraine, but the ROI is much better discussing Clavicular and the new Kanye album.
Language changes though . He's directionally correct about calibration. People have some intuition about how something works, and then calibrate this tgrough feedback.
That is a huge "if" though. I am not sure either that the latter falls from this. When the US transitioned away from assembly lines or agriculture dominated, it's not as if consumer spending consequently collapsed.
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