IanKerr

Yep, exactly. I glossed over that detail a bit because explaining how a meagre set has a truly zero probability of being picked, while technically still being a possible result of a random process, is a bit messy to wrap your head around colloquially.

>Are irrational numbers even on a number line?

Yes, e is between 2 and 3 and Pi is between 3 and 4. There are geometrical lengths corresponding to each number.

>Isn’t it definitionally impossible to pick it as a “point along the line”?

No, it's mathematically possible to have a random process which picks a random real between 0 and n, with equal probability. Imagine it akin to throwing a dart at a line and picking the point it lands on as the number. Since there are only countably many rationals and uncountably many irrationals (i.e. not just infinitely more, but so many that you could never pair off the rationals with the irrationals, there are just too many) on any such length of the real line, chances are the number you end up with is overwhelmingly likely to be irrational.

We are so, so far beyond that point already. The complexity of the world economy is beyond any one mind to fully comprehend. The microcosm of building black-box LLMs that perform feats we don't understand is yet another instance of us building systems which may forever be beyond human understanding.

How is any human meant to understand a billion lines of code in a single codebase? How is any human meant to understand a world where there are potentially trillions of lines of code operating?

This is the beginning of the end of the public internet, imo. Websites that aren't able to manage the bandwidth consumption of AI scrapers and the endless spam that will take over from LLMs writing comments on forums are going to go under. The only things left after AI has its way will be walled gardens with whitelisted entrants or communities on large websites like Facebook. Niche, public sites are going to become unsustainable.

Now account for the amount of mental overhead required for the average person to calculate change or coinage of a random amount in base two coins, as opposed to multiples of 5 or 10, and see if your 3.19 coins per transaction really saves you time.

For anyone curious: it tastes like a bowl of salt.

Source: I was an adventurous 5 year old.

It's been pretty incredible watching these companies siphon up everything under the sun under the guise of "training data" with impunity. These same companies will then turn around and sic their AIs on places like Youtube and send out copyright strikes via a completely automated system with loads of false-positives.

How is it acceptable to allow these companies to steal all of this copyrighted data and then turn around and use it to enforce their copyrights in the most heavy-handed manner? The irony is unbelievable.

She was excellent at whatever she was in. An absolute icon of cinema. RIP Maggie Smith.

It's always very impressive to me seeing our ability to detect such obscure objects in advance getting better and better. We'll soon have such good detection capabilities that we may start to take these kinds of predictions for granted the same way we take accurate weather forecasts for granted. Can't wait to see the local meteorologist talking about actual meteors.

I've had this thought about payment cards for a long time now. Corporations are pulling a reverse Superman III on us and keeping our pennies and dollars on these gift cards and payment cards that can never quite be zeroed out. If you added up all the lost change from all of these cards over someone's life it could be a fairly non-trivial amount of money. Add this up over a whole economy of people and you have millions of dollars of change that you've siphoned out of people by making it too difficult to spend.

There should be a law mandating the ability to convert gift cards or payment cards back into cash, or to reverse the transaction onto a credit card.

To an extent that's the fundamental issue driving these changes. It becomes increasingly difficult to monetize old material for lack of demand. Should lack of attention from society be enough reason to throw old media into the trash permanently? I don't believe so. We owe it to future generations to preserve what we can.

We're going to lose so much more cultural history to corporate greed in the next century. Preservation of music, media, games are all being attacked in the name of profits. Future generations will not be able to enjoy the vast wealth we're creating because folks would rather destroy it than make it available for distribution, even for a fee.