No, I wouldn’t assume non-convergence either … NOR would I assume that that AI didn’t just grab that ‘high-level’ ‘Elaboration’ from some site … without a citation.

(Very human … Lots of people use quotes to sound smart, hoping they’ll get away with it. LAWYERS! Ministers! Presidents, even! )

One less formal way of looking at it is this: there are an infinite number of multiples of 35. starting with 35, 70, 105. Add 6 to each of the odd multiples. 35+6=41 (prime); 105+6 = 111 (prime). With an infinite # of candidates, you’ve gotta get to an infinite number of solutions (for some value of infinity!)

As for that Dirichlet stuff, it’s way beyond any of the useful stuff I learned too.

Very nice. Makes my generic LLM look like a lumpkin. I’d heard that mathers were impressed by some of them.

I came to a conclusion about GPT (which is very good with English on most topics) when I asked it how many prime numbers, when divided by 35, leave a remainder of 6. It quickly and confidently said there were none. It hadn’t even tried. The correct answer (there’s a proof) is: an infinite number.

Two months later it answered that there were 3. Closer … but no cigar

How many hundreds of millions of people have died, and will continue to die, over invisible ‘truths’ cooked up by liars looking for power?

Any ideology may be dangerous. People who are convinced they’re tuned into a privileged view on reality may be willing to kill others to protect it. Human history is full of proofs of that.

“On the whole I think that knowledge is preferable to ignorance, and I am sure that human sympathy is more valuable than ideology.” — Kenneth Clark

deleted by creator

Trouble is that ‘quick answers’ mean the LLM took no time to do a thorough search. Could be right or wrong - just by luck.

When you need the details to be verified by trustworthy sources, it’s still do-it-yourself time. If you -don’t- verify, and repeat a wrong answer to someone else, -you- are untrustworthy.

A couple months back I asked GPT a math question (about primes) and it gave me the -completely wrong- answer … ‘none’ … answered as if it had no doubt. It was -so- wrong it hadn’t even tried. I pointed it to the right answer (‘an infinite number’) and to the proof. It then verified that.

A couple of days ago, I asked it the same question … and it was completely wrong again. It hadn’t learned a thing. After some conversation, it told me it couldn’t learn. I’d already figured that out.

Jansport, yep have a green, leather-bottomed one 20 years old still used weekly. One zipper is sometimes a bit sticky.

A Mackie mixer and two nearfield speakers I bought 25 years ago still see hours-daily usage. When the fancy Kenwood tuner died 2-3 years later, I replaced it with a Boss 50w/chan 12vdc transistor amp that still never even gets warm.

Speaking of Casios, I have an F-105 [1572] ‘Illuminator’ that’s 20 years old and still using the same battery. It gains about 1 minute per year.

Partly, yep. Seems like every time I try to pin down an AI on a detail of a question worth asking - a math question, or a date in history, it’ll confidently reply with the first answer it finds … right or wrong.

From your description ‘too low to the ground’ sounds like it was probably ball lightning … which can do all kinds of goofy shit depending on the weather or how it was created. I’ve never seen any good videos of BL on Youtube, but there might be newer ones.

Don’t know D.C. at all but if you were anywhere near a marsh, maybe ‘swamp gas’?

Hmmm. You might have a look at the Arch Linux wiki. https://wiki.archlinux.org/title/Main_page Those guys are more likely to up on the latest hardware & problems. ('Powercolor’s a new name to me.) You could also try their forums. https://bbs.archlinux.org/

The best have usually been around a longer time and have a reputation. Which ones do the pros cite?

As an amateur radio operator, The high bands get wiped first! 80, 160, not so much (no ionosphere? ground wave still works. Easy to throw up a long wire … afterward). Hams (esp. ARES) will become VERY IMPORTANT for a LONG time when it happens. Field Day is a good way to prep for aftermath. (Gear can go into metal containers to escape parts damage until afterward.) Portable generators (best without a lot of electronics on them) will be needed to re-charge the batteries!

There are A LOT of BIG countries with big electric grids in the world today. Which countries GRIDS get hit the worst depends on which side of the Earth is facing the ‘hit’. Could the West (US, Brazil) or Europe or the East (China, India).

Linux Mint puts out a great OS for a few thousand per month. With the start it’s got, Firefox could go on for decades without more income.

Good start. Prefer 12-grain bread tho. And for a BIG meal, I throw on a couple (or 10) thin slices of deli meat & more mayo.

Great M.O. that. Why waste time cooking instead of learning? Bet he took that pizza home to watch History Channel.

Toast two slices. Slice of cheese between. Microwave 12 seconds to melt cheese a little. Hate waiting for toasters though,

I once ate nothing but eggs and rice for 3 months. Rice too slow. Another time I bought a 9-pound sack of roasted, unsalted cashews at wholesale, and ate only that until it was gone. Interesting pale results in the bathroom on that one.